lic aao model answers with solutions · 2019-04-26 · lic aao model answers with solutions 1 4 2 2...

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LIC AAO Model Answers with Solutions 1 4 2 2 3 5 4 3 5 1 6 3 7 2 8 1 9 1 10 1 11 3 12 1 13 5 14 1 15 1 16 4 17 4 18 4 19 2 20 1 21 1 22 1 23 3 24 4 25 4 26 5 27 5 28 4 29 4 30 3 31 1 32 2 33 3 34 4 35 1 36 3 37 4 38 3 39 1 40 3 41 2 42 2 43 4 44 2 45 3 46 1 47 1 48 4 49 3 50 4 51 4 52 2 53 1 54 4 55 2 56 3 57 5 58 4 59 2 60 5 61 1 62 5 63 4 64 3 65 4 66 1 67 4 68 3 69 4 70 1 71 4 72 3 73 2 74 5 75 5 76 5 77 2 78 1 79 3 80 3 81 2 82 1 83 4 84 3 85 2 86 5 87 3 88 3 89 3 90 2 91 3 92 1 93 4 94 3 95 5 96 4 97 1 98 2 99 3 100 4

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LIC AAO Model Answers with Solutions

1 4

2 2

3 5

4 3

5 1

6 3

7 2

8 1

9 1

10 1

11 3

12 1

13 5

14 1

15 1

16 4

17 4

18 4

19 2

20 1

21 1

22 1

23 3

24 4

25 4

26 5

27 5

28 4

29 4

30 3

31 1

32 2

33 3

34 4

35 1

36 3 37 4 38 3 39 1 40 3

41 2 42 2 43 4 44 2 45 3

46 1 47 1 48 4 49 3 50 4

51 4 52 2 53 1 54 4 55 2

56 3 57 5 58 4 59 2 60 5

61 1 62 5 63 4 64 3 65 4

66 1 67 4 68 3 69 4 70 1

71 4 72 3 73 2 74 5 75 5

76 5 77 2 78 1 79 3 80 3

81 2 82 1 83 4 84 3 85 2

86 5 87 3 88 3 89 3 90 2

91 3 92 1 93 4 94 3 95 5

96 4 97 1 98 2 99 3 100 4

1.The given expression,

(56)2 × 2.5385 = ?

We can write the given values as,

2.5385 ≈ 2.5

Then,

⇒ ? = 56 × 56 × 2.5

∴ ? ≈ 7840

2.

The given expression,

? = (75.5% of 5.23) + 7.77

We can write the given values as,

75.5 ≈ 75, 5.23 ≈ 5 and 7.77 ≈ 8

⇒ ? = (75% of 5) + 8

⇒ ? = (75/100) × 5 + 8

⇒ ? = 3.75 + 8

⇒ ? = 11.75

∴ ? ≈ 12

3.

The given expression:

14.99% of 61.01% of 8001.35 = ?

We can above values as:

14.99 ≈ 15, 61.01 ≈ 61 and 8001.35 ≈ 8001

Then,

⇒ 15% of 61 % of 8001 = ?

⇒ ? = (15/100) × (61/100) × 8001

⇒ ? = 732.09

⇒ ? ≈ 732

4.

Follow BODMAS rule to solve this question, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be solved first and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contains 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contains 'Addition' and 'Subtraction' should be calculated.

Given expression is,

3.91 × 4.91 – 79.89 ÷ 16.08 = ?

We can write the given values as:

79.89 ≈ 80, 16.08 ≈ 16, 3.91 ≈ 4, 4.91 ≈ 5

Approximating values in the given expression:

⇒ 4 × 5 – 80 ÷ 16 = ?

⇒ 20 – 5 = ?

∴ ? = 15

5.

Follow BODMAS rule to solve this question, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be solved first and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contains 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contains 'Addition' and 'Subtraction' should be calculated.

Given expression is,

999.77% of 5 – 10 × 3.93 = ?

We can write the given values as:

999.77 ≈ 1000, 3.93 ≈ 4

Approximating values in the given expression:

⇒ 1000% of 5 – 10 × 4 = ?

⇒ 50 – 40 = ?

∴ ? = 10

6.

Total price of 10 books = Rs. 120

Total price of 8 books = 11.75 × 8 = Rs. 94

Price of these two books = 120 - 94 = Rs. 26

Let the price of one be x and other 1.6x

Price of books = Rs. 10 and Rs. 16

7.

Let, the 1st number = x

The 2nd number = y

According to problem,

⇒ x × 40/100 + y = y × 200/100

⇒ 0.4x + y = 2y

⇒ y = 0.4x

⇒ y/x = 2/5

⇒ y ∶ x = 2 : 5

∴ Ratio of 1st to 2nd number = 5 ∶ 2

8.

Let the price of third variety is Rs. x per kg

∵ Ratio of first, second and third variety of rice in the mixture is 3 ∶ 2 ∶ 5

Let amount of first, second and third variety of rice in the mixture are 3 kg, 2 kg and 5 kg respectively

⇒ Total quantity of the mixture = (3 + 2 + 5) kg = 10 kg

⇒ Total amount of the mixture in Rs. = 3 × 36 + 2 × 32 + 5x = 172 + 5x

∵ Price of the mixture per kg in Rs. = 30

⇒ (172 + 5x) /10 = 30

⇒ 172 + 5x = 300

⇒ 5x = 128

⇒ x = Rs. 25.6/kg

9.

For the first 6 months,

A’s investment = Rs. 10000

B’s investment = Rs. 10000

C’s investment = Rs. 10000

For the next 6 months,

A’s investment = 10000 + 2000 = 12000

B’s investment = 10000 + 6000 = 16000

C’s investment = 10000 - 2000 = 8000

Ratio of their effective investment,

⇒ (10000 × 6 + 12000 × 6) : (10000 × 6 + 16000 × 6) : (10000 × 6 + 8000 × 6)

⇒ 132 : 156 : 108

⇒ 11 : 13 : 9

Total profit = Rs. 50490

∴ Share of B = 50490 × 13/ ((11 + 13 + 9)) = Rs. 19890

10.

Let two parts of sum be Rs. a and Rs. b respectively.

Given, a + b = 1085

Let P = principal, R = rate of interest and N = time period

Simple interest = PNR/100

According to the question,

⇒ (a × 9 × 3)/100 = (b × 18 × 2)/100

⇒ 27a = 36b

⇒ 3a = 4b

⇒ a = 4b/3

Solving equations,

⇒ 4b/3 + b = 1085

⇒ 7b = 1085 × 3

⇒ b = 465

⇒ a = 1085 – 465 = 620

∴ Two sums are Rs. 620 and Rs. 465.

11.

The pattern is

? = 102 + 251 = 353

12.

The series follows a pattern is ÷3 and ÷4 alternatively

1872 = 5616/3

468 = 1872/4

156 = 468/3

? = 156/4 = 39

13 = 39/3

The value of ? = 39

13.

The series follows a pattern of +22, +32, +52, +72, +112 etc

8 = 4 + 22

? = 8 + 32 = 17

42 = 17 + 52

91 = 42 + 72

212 = 91 + 112

? = 8 + 32 = 17

14.

Observing the difference between consecutive terms,

⇒ 237 – 188 = 49 = 72,

⇒ 358 – 237 = 121 = 112,

⇒ 527 – 358 = 169 = 132,

Here we can see that squares of consecutive prime numbers starting with 7 are been added to the next term,

⇒ Next term = 527 + 172 = 527 + 289 = 816

And 816 will also satisfy the next term as 816 + 192 = 1177 = ?

∴ ? = 816

15.

The pattern is

Last number = (750 × 5) + 940 = 4690

16.

Interest at SBI = (3.25 × 0.035) × 100000 = Rs. 11375

Interest at BOI = (3.25 × 0.0325) × 100000 = Rs. 10562.5

∴ Difference = Rs. 812.5

17.

Let the amounts invested at SBI and BOI be 5x and 6x respectively.

Interest received in SBI = 0.0325 × 5x = 0.1625x

∴ Amount Received = 5.1625x

Interest received at BOI = 0.04 × 6x = 0.24x

∴ Amount received = 6.24x

∴ Required Ratio = 5.1625𝑥

6.24𝑥=

2065:2496

18.

Let amount x lakhs was invested in SBI.

∴ Amount invested in BOI = (20 − x) lakhs

Total interest = {0.0375x + 0.045 (20 − x)} × 100000

⇒ 0.84 = 0.9 − 0.0075x

∴ x = 0.06/0.0075 = 8 lakhs

19.

Interest received at the end of year 2014 = Rs. (1500000 × 0.04) = Rs. 60000

Amount after one year = Rs. 1560000

Interest at the end of year 2015 = Rs. (1560000 × 0.05) = Rs. 78000

∴ Total appreciation received = Rs. (60000 + 78000) = Rs. 138000

20.

Interest received at the end of year 2012 from BOI = Rs. (400000 × 0.0325) = Rs. 13000

Amount after one year = Rs. 413000

Interest received at the end of year 2013 from SBI = Rs. (413000 × 0.045) = Rs. 18585

∴ Total amount received = Rs. (413000 + 18585) = Rs. 431585

21.

Let the speed of the train from Q be x km/hr

Speed of the train from P = (x + 6) km/hr

They meet after 5 hours, the total distance travelled by both the trains is 160 km

5(x + 6) + 5x = 160 km

10x + 30 = 160

⇒ x = 13 km/hr

Speed of faster train = 19 km/hr

22.

A's one-day work = 90% of 1/9 = 1/10

B's one-day work = 72% of 1/18 = 1/25

A and B’s 1 day work = (1/10) + (1/25) = 7/50

Total time taken by them to complete

the work = 50/7 days = 71

7 days

Alternate solution:

Total work = LCM of (9, 18) = 18 units

Efficiency of A = 2

Efficiency of B = 1

As they were ill, efficiency decreased

New efficiency of A = 90% of 2 = 1.8

New efficiency of B = 72% of 1 = 0.72

New efficiency of (A + B) = 2.52

Total time taken by them to complete the work = 18/2.52 = 1800/252

= 100/14

= 50/7

= 71

7 days

23.

Total area = 1000/0.25 = 4000 m2

Area of rectangle = l × b

l × 50 = 4000 ⇒ l = 80 m

New area = (80 + 20) × 50 = 5000 m2

Total cost to make playground usable = 5000 × 0.25 = Rs. 1250

24.

Let, price of the 1st car = Rs. x

Price of the 2nd car = Rs. (780000 - x)

According to problem,

⇒ x × 18/100 = (780000 - x) × 8/100

⇒ 9x = 3120000 - 4x

⇒ 13x = 3120000

⇒ x = 240000

∴ Price of the 2nd car = Rs. (780000 - 240000) = Rs. 540000

25.

As per given data-

Tiger takes 4 leaps for every 5 leaps of dog.

∴ Ratio of leaps of tiger to dog = 4 ∶ 5

As stated in data 1 leap of tiger is equal to 4 dog leaps.

∴ Converting tiger leaps into dog leaps-

∴ Speed of tiger ∶ speed of dog

4 × 4 ∶ 5

⇒ 16 ∶ 5

26.

x2 - 165 = 676

⇒ x2 = 676 + 165

⇒ x2 = 841

⇒ x2 - (29)2 = 0

⇒ (x + 29) (x - 29) = 0

⇒ x = - 29 or x = 29

y2 - 120 = 841

⇒ y2 = 841 + 120

⇒ y2 - 961 = 0

⇒ y2 - (31)2 = 0

⇒ (y + 31) (y - 31) = 0

⇒ y = -31 or y = 31

When x = 29, x > y for y = -31 and x < y for y = 31

And when x = -29, x < y for y = 31 and x > y for y = -31

∴ The relationship cannot be established.

27.

6x2 + 13x + 5 = 0

(6x2 + 3x) + (10x + 5) = 0

(3x + 5)(2x + 1) = 0

Solving we get, x = -1/2, -5/3

9y2 + 22y + 8 = 0

(9y2 + 18y) + (4y + 8) = 0

(9y + 4)(y + 2) = 0

Solving we get, y = -4/9, -2

So x can be greater than or less than y

So 5 is the correct option

28.

I. 6x2 + 13x + 6 = 0

⇒ 6x2 + 9x + 4x + 6 = 0

⇒ 3x(2x + 3) + 2(2x + 3) = 0

⇒ (3x + 2)(2x + 3) = 0

Then, x = (-2/3) or x = (-3/2)

II. 3y2 – y – 2 = 0

⇒ 3y2 – 3y + 2y – 2 = 0

⇒ 3y(y – 1) + 2(y – 1) = 0

⇒ (y – 1)(3y + 2) = 0

Then, y = (-2/3) or y = (1)

So, when x = (-2/3), x < y for y = (1) and x = y for y = (-2/3)

And when x = (-3/2), x < y for y = (1) and x < y for y = (-2/3)

∴ So, we can find x < y.

29.

I. x2 – 11x + 24 = 0

⇒ x2 – 8x – 3x + 24 = 0

⇒ x(x – 8) – 3(x – 8) = 0

⇒ (x – 8)(x – 3) = 0

Then, x = (8) or x = (3)

II. 2y2 – 9y + 9 = 0

⇒ 2y2 – 6y – 3y + 9 = 0

⇒ 2y(y – 3) – 3(y – 3) = 0

⇒ (2y – 3)(y – 3) = 0

Then, y = (3/2) or y = (3)

So, when x = (8), x > y for y = (3/2) and x > y for y = (3)

And when x = (3), x > y for y = (3/2) and x = y for y = (3)

∴ x ≥ y

30.

I. 12x2 + 17x – 5 = 0

⇒ 12x2 + 20x – 3x – 5 = 0

⇒ 4x(3x + 5) – (3x + 5) = 0

⇒ (3x + 5)(4x – 1) = 0

∴ x = -5/3 or x = ¼

II. Y2 – 7y + 12 = 0

⇒ Y2 – 4y – 3y + 12 = 0

⇒ y(y -4) - 3(y - 4) = 0

⇒ (y - 4) (y - 3) = 0

⇒ y = 4 or y = 3

When x = -5/3, x < y for y = 4 and x < y for y = 3

And when x = 1/4, x < y for y = 4 and x < y for y = 3

∴ x < y

31.

Money spent on shopping = 10% of Rs. 2,50,000 = Rs. 25,000.

32.

Money spent on food = 24% of Rs. 2,50,000 = Rs. 60,000

Money spent on lodging = 19% of Rs. 2,50,000 = Rs. 47,500

Required difference = 60000 – 47500 = Rs. 12,500

33.

Percentage of money spent on food = 24%

Percentage of money spent on lodging = 19%

Percentage of money spent on travelling = 20 + 15 = 35%

Percentage of money spent on shopping = 10%

The family spent the maximum money on travelling

34.

Percentage of money spent on travelling including air tickets = 20 + 15 = 35%

Money spent = 35% of Rs. 2,50,000 = Rs. 87,500

35.

Money spent on lodging = 19% of Rs. 2,50,000 = Rs. 47,500

Money spent on air tickets = 20% of Rs. 2,50,000 = Rs. 50,000

Total money spent on other sectors = Rs. 1,52,500

New money spent on lodging = 47,500/2 = Rs. 23,750

New money spent on air tickets = 50,000 × (80/100) = Rs. 40,000

Total money spent = 152500 + 23750 + 40000 = Rs. 2,16,250

36.

From the given information,

1) M is the son of K.

2) R is the mother of K.

3) T is married to R.

4) P is married to M.

5) P is the sister of Q.

6) S is the wife of Q.

7) L is the son of O.

8) Two children of L are M and N.

9) L has a daughter and a son.

10) N is married to U.

11) The gender of O is not specified.

Hence, K has 2 children.

37.

From the given information,

1) M is the son of K.

2) R is the mother of K.

3) T is married to R.

4) P is married to M.

5) P is the sister of Q.

6) S is the wife of Q.

7) L is the son of O.

8) Two children of L are M and N.

9) L has a daughter and a son.

10) N is married to U.

11) The gender of O is not specified.

Hence, O can be grandfather or grandmother of N.

38.

1) First element is a letter which represents immediate next letter in the capital form of the first letter of the word.

2) The second element is the letter which represents the last letter of word.

3) A third element is a number which represents the number of letter in that word.

Ex: Dn5 for “churn”

D is the immediate next letter in the capital form of the first letter i.e. “c” of the word.

“n” is the last letter of the word.

5 is number of letters in word.

Hence, code for “churn” is “Dn5”.

39.

1) First element is a letter which represents immediate next letter in the capital form of the first letter of the word.

2) The second element is the letter which represents the last letter of word.

3) A third element is a number which represents the number of letter in that word.

Ex: Ey5 for “dizzy”

E is the immediate next letter in the capital form of the first letter i.e. “d” of the word.

“y” is the last letter of the word.

5 is number of letters in word.

Cn5 for “begin”

C is the immediate next letter in the capital form of the first letter i.e. “b” of the word.

“n” is the last letter of the word.

5 is number of letters in word.

Hence, code for “dizzy begin” is “Ey5

Cn5”.

40.

1) First element is a letter which represents immediate next letter in the capital form of the first letter of the word.

2) The second element is the letter which represents the last letter of word.

3) A third element is a number which represents the number of letter in that word.

Ex: Co6 for “bamboo”

C is the immediate next letter in the capital form of the first letter i.e. “b” of the word.

“o” is the last letter of the word.

6 is number of letters in word.

Hence, “Co6” represents the word

“bamboo”.

41.

Person: P, Q, R, S, T, U, V and W

1. V, who is facing the centre is second

to the left of S and is to the right of U.

(In circular arrangement right means

immediate right.)

2. No three consecutive persons are

facing either towards the centre or are

away from the centre.

3. P’s is opposite to U and S is not

adjacent to U.

4. T is sitting between S and V but is

not the neighbour of R.

Two possibilities arise:

Case (i):

Case (ii):

4. R is third to the left of U.

5. Q is second to the right of P but is not third to the right of V.

(Case (i) will be eliminated as there would not be any place left for Q.)

Hence, only case (ii) is left.

(The remaining position is occupied by W.

As P and S are facing towards the centre, R must be facing away from the centre.

As R and W are facing away from the centre, Q must be facing towards the centre.)

The final figure is shown below.

Clearly, W is sitting second to the left of V.

42.

Person: P, Q, R, S, T, U, V and W

1. V, who is facing the centre is second to the left of S and is to the right of U.

(In circular arrangement right means immediate right.)

2. No three consecutive persons are facing either towards the centre or are away from the centre.

3. P’s is opposite to U and S is not adjacent to U.

4. T is sitting between S and V but is not the neighbour of R.

Two possibilities arise:

Case (i):

Case (ii):

4. R is third to the left of U.

5. Q is second to the right of P but is not third to the right of V.

(Case (i) will be eliminated as there would not be any place left for Q.)

Hence, only case (ii) is left.

(The remaining position is occupied by W.

As P and S are facing towards the centre, R must be facing away from the centre.

As R and W are facing away from the centre, Q must be facing towards the centre.)

The final figure is shown below.

Clearly, W is facing away from the centre.

43.

Person: P, Q, R, S, T, U, V and W

1. V, who is facing the centre is second to the left of S and is to the right of U.

(In circular arrangement right means immediate right.)

2. No three consecutive persons are facing either towards the centre or are away from the centre.

3. P’s is opposite to U and S is not adjacent to U.

4. T is sitting between S and V but is not the neighbour of R.

Two possibilities arise:

Case (i):

Case (ii):

4. R is third to the left of U.

5. Q is second to the right of P but is not third to the right of V.

(Case (i) will be eliminated as there would not be any place left for Q.)

Hence, only case (ii) is left.

(The remaining position is occupied by W.

As P and S are facing towards the centre, R must be facing away from the centre.

As R and W are facing away from the centre, Q must be facing towards the centre.)

The final figure is shown below.

Clearly, W is sitting in the position opposite that of S.

45.

Person: P, Q, R, S, T, U, V and W

1. V, who is facing the centre is second to the left of S and is to the right of U.

(In circular arrangement right means immediate right.)

2. No three consecutive persons are facing either towards the centre or are away from the centre.

3. P’s is opposite to U and S is not adjacent to U.

4. T is sitting between S and V but is not the neighbour of R.

Two possibilities arise:

Case (i):

Case (ii):

4. R is third to the left of U.

5. Q is second to the right of P but is not third to the right of V.

(Case (i) will be eliminated as there would not be any place left for Q.)

Hence, only case (ii) is left.

(The remaining position is occupied by W.

As P and S are facing towards the centre, R must be facing away from the centre.

As R and W are facing away from the centre, Q must be facing towards the centre.)

The final figure is shown below.

Clearly, P and R are immediate neighbours.

46.

The least possible Venn diagram for the given statements is:

Conclusions:

I. Some hens are birds → True

II. No birds are hens → False (as some fish are hens and all fish are birds)

Hence, only I follows.

47.

The possible Venn diagram is:

Explanation:

I. Some Brush is Pin → It is a definite case, hence true.

II. Some Nail paint is Pin → It is not a definite case, hence false.

So, only conclusion I follows.

48.

The least possible Venn diagram for the given statements is as follows:

Conclusion(s):

I. Some fantasies are cheat → False (it is possible but not definite)

II. No reality is cheat → False (it is possible but not definite)

Hence, none of the conclusion follows.

49.

Given:

People: A, B, C, D, E, F, G

Days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday

Offices: Qriyo, Freez, Infotree, BYJU, Infogain, Innoraft and Infoobject

1) BYJU is visited on Wednesday.

2) Infotree is visited on Friday.

3) G goes to office on one of the days between people who go to BYJU and Infotree.

So, G goes on Thursday.

4) Innoraft and Infogain are visited on the first 2 days of the week.

Day Office Person

Sunday Innoraft/Infogain

Monday Innoraft/Infogain

Tuesday

Wednesday BYJU

Thursday G

Friday Infotree

Saturday

5) A goes to office one day before G.

So, A = Wednesday

6) B goes to Qriyo one day before A.

So, B = Tuesday

7) The person going to office just before B does not go to Innoraft.

So, Monday = Infogain and Sunday = Innoraft.

8) C and E go one after the other starting with C and C does not go to Infotree.

So, C = Sunday and E = Monday

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday G

Friday Infotree

Saturday

9) F goes to office before D, who works at Freez

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday Infoobject G

Friday Infotree F

Saturday Freez D

Clearly, C goes to office on Sunday.

50.

Given:

People: A, B, C, D, E, F, G

Days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday

Offices: Qriyo, Freez, Infotree, BYJU, Infogain, Innoraft and Infoobject

1) BYJU is visited on Wednesday.

2) Infotree is visited on Friday.

3) G goes to office on one of the days between people who go to BYJU and Infotree.

So, G goes on Thursday.

4) Innoraft and Infogain are visited on the first 2 days of the week.

Day Office Person

Sunday Innoraft/Infogain

Monday Innoraft/Infogain

Tuesday

Wednesday BYJU

Thursday G

Friday Infotree

Saturday

5) A goes to office one day before G.

So, A = Wednesday

6) B goes to Qriyo one day before A.

So, B = Tuesday

7) The person going to office just before B does not go to Innoraft.

So, Monday = Infogain and Sunday = Innoraft.

8) C and E go one after the other starting with C and C does not go to Infotree.

So, C = Sunday and E = Monday

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday G

Friday Infotree

Saturday

9) F goes to office before D, who works at Freez

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday Infoobject G

Friday Infotree F

Saturday Freez D

Clearly, D goes to office on Saturday.

51.

Given:

People: A, B, C, D, E, F, G

Days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday

Offices: Qriyo, Freez, Infotree, BYJU, Infogain, Innoraft and Infoobject

1) BYJU is visited on Wednesday.

2) Infotree is visited on Friday.

3) G goes to office on one of the days between people who go to BYJU and Infotree.

So, G goes on Thursday.

4) Innoraft and Infogain are visited on the first 2 days of the week.

Day Office Person

Sunday Innoraft/Infogain

Monday Innoraft/Infogain

Tuesday

Wednesday BYJU

Thursday G

Friday Infotree

Saturday

5) A goes to office one day before G.

So, A = Wednesday

6) B goes to Qriyo one day before A.

So, B = Tuesday

7) The person going to office just before B does not go to Innoraft.

So, Monday = Infogain and Sunday = Innoraft.

8) C and E go one after the other starting with C and C does not go to Infotree.

So, C = Sunday and E = Monday

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday G

Friday Infotree

Saturday

9) F goes to office before D, who works at Freez

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday Infoobject G

Friday Infotree F

Saturday Freez D

Clearly, G goes to Infoobject.

52.

Given:

People: A, B, C, D, E, F, G

Days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday

Offices: Qriyo, Freez, Infotree, BYJU, Infogain, Innoraft and Infoobject

1) BYJU is visited on Wednesday.

2) Infotree is visited on Friday.

3) G goes to office on one of the days between people who go to BYJU and Infotree.

So, G goes on Thursday.

4) Innoraft and Infogain are visited on the first 2 days of the week.

Day Office Person

Sunday Innoraft/Infogain

Monday Innoraft/Infogain

Tuesday

Wednesday BYJU

Thursday G

Friday Infotree

Saturday

5) A goes to office one day before G.

So, A = Wednesday

6) B goes to Qriyo one day before A.

So, B = Tuesday

7) The person going to office just before B does not go to Innoraft.

So, Monday = Infogain and Sunday = Innoraft.

8) C and E go one after the other starting with C and C does not go to Infotree.

So, C = Sunday and E = Monday

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday G

Friday Infotree

Saturday

9) F goes to office before D, who works at Freez

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday Infoobject G

Friday Infotree F

Saturday Freez D

C goes on Sunday while D goes on Saturday.

Hence, there are 5 days between C and D.

53.

Given:

People: A, B, C, D, E, F, G

Days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday

Offices: Qriyo, Freez, Infotree, BYJU, Infogain, Innoraft and Infoobject

1) BYJU is visited on Wednesday.

2) Infotree is visited on Friday.

3) G goes to office on one of the days between people who go to BYJU and Infotree.

So, G goes on Thursday.

4) Innoraft and Infogain are visited on the first 2 days of the week.

Day Office Person

Sunday Innoraft/Infogain

Monday Innoraft/Infogain

Tuesday

Wednesday BYJU

Thursday G

Friday Infotree

Saturday

5) A goes to office one day before G.

So, A = Wednesday

6) B goes to Qriyo one day before A.

So, B = Tuesday

7) The person going to office just before B does not go to Innoraft.

So, Monday = Infogain and Sunday = Innoraft.

8) C and E go one after the other starting with C and C does not go to Infotree.

So, C = Sunday and E = Monday

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday G

Friday Infotree

Saturday

9) F goes to office before D, who works at Freez

Day Office Person

Sunday Innoraft C

Monday Infogain E

Tuesday Qriyo B

Wednesday BYJU A

Thursday Infoobject G

Friday Infotree F

Saturday Freez D

Clearly, A goes to BYJU.

54.

Boxes: L, M, N, P, Q, R, S and T

1. Three boxes are between T and S and neither of them is at the top or bottom position.

2. Two boxes are between S and N.

Case I Case II Case III Case IV

T S

N T S

N

N

S T N

S T

3. Two boxes are between R and N and box R is above box N.

(Eliminates cases I, III and IV)

4. The number of boxes is between L and T is the same as L and S.

5. Box P is above box Q and more than one box is between P and Q.

6. Box Q is not in the bottom position.

Case II

R

P

T

N

L

Q

S

M

Clearly, M is at the bottommost position.

55.

Boxes: L, M, N, P, Q, R, S and T

1. Three boxes are between T and S and neither of them is at the top or bottom position.

2. Two boxes are between S and N.

Case I Case II Case III Case IV

T S

N T S

N

N

S T N

S T

3. Two boxes are between R and N and box R is above box N.

(Eliminates cases I, III and IV)

4. The number of boxes is between L and T is the same as L and S.

5. Box P is above box Q and more than one box is between P and Q.

6. Box Q is not in the bottom position.

Case II

R

P

T

N

L

Q

S

M

Clearly, if the position of P and N will be changed, it will not affect the position of L which is exactly above Q.

56.

Boxes: L, M, N, P, Q, R, S and T

1. Three boxes are between T and S and neither of them is at the top or bottom position.

2. Two boxes are between S and N.

Case I Case II Case III Case IV

T S

N T S

N

N

S T N

S T

3. Two boxes are between R and N and box R is above box N.

(This eliminates cases I, III and IV)

4. The number of boxes is between L and T is the same as L and S.

5. Box P is above box Q and more than one box is between P and Q.

6. Box Q is not in the bottom position.

Case II

R

P

T

N

L

Q

S

M

Clearly, there are 3 boxes between T and S.

57.

Given statements: U ≥ Z > Q; Z = G > N

On combining the given statements: U ≥ Z = G > Q and U ≥ Z = G > N

Conclusions:

I. U ˃ G → True (as U ≥ Z = G)

II. U = G →True (as U ≥ Z = G)

Conclusion I and II form a complementary pair.

https://www.youtube.com/watch?v=G0Jal0NbMxo

Hence, either conclusion I or II is true.

58.

Given statements: Y ≤ D ≥ P ≤ V; M ≤ Q = E = Y

On combining the given statements: M ≤ Q = E = Y ≤ D ≥ P ≤ V

Conclusions:

I. E ≥ P → False (as E = Y ≤ D ≥ P) → thus relation between E and P cannot be determined.

II. Q > D → False (as Q = E = Y ≤ D)

So, neither conclusion I nor II is true.

59.

Four members A, B, C and D are sitting around a round table at an equal distance facing inside.

From statement I:

From statement II:

From statement III:

On combining I and II or I and III

Hence, we can say that A is sitting immediate right of B.

Hence, Statement I and either II or III are sufficient.

60.

From I, we get: Mohan > Veera > Qureshi.

From II, we get: Tabbu > Qureshi, Tabbu > Mohan, Parul > Tabbu.

Combining I and II, we get : Parul > Tabbu > Mohan > Veera > Qureshi.

Clearly, Mohan is in the middle.

61.

7 people: A, B, C, D, E, F and G are sitting in a straight line facing north.

1) A is third to the right of G.

2) B is an immediate neighbor of A

3) C is third to the right of B.

So here total two cases are possible.

Case-1, G _ _ A B _ _ C

Case-2, G _ B A _ C

In case -1 there should be total eight persons but in the question only seven people are given hence only case-2 will be valid.

4) Now neither F nor C is sitting at an extreme end.

5) D is not an immediate neighbour of C.

Hence we will get the below arrangement,

A is sitting in middle.

Hence A has as many people sitting to his right as to his left.

62.

7 people: A, B, C, D, E, F and G are sitting in a straight line facing north.

1) A is third to the right of G.

2) B is an immediate neighbor of A

3) C is third to the right of B.

So here total two cases are possible.

Case-1, G _ _ A B _ _ C

Case-2, G _ B A _ C

In case -1 there should be total eight persons but in the question only seven people are given hence only case-2 will be valid.

4) Now neither F nor C is sitting at an extreme end.

5) D is not an immediate neighbour of C.

Hence we will get the below arrangement,

G and E are sitting at the extreme ends of the line.

63.

7 people: A, B, C, D, E, F and G are sitting in a straight line facing north.

1) A is third to the right of G.

2) B is an immediate neighbor of A

3) C is third to the right of B.

So here total two cases are possible.

Case-1, G _ _ A B _ _ C

Case-2, G _ B A _ C

In case -1 there should be total eight persons but in the question only seven people are given hence only case-2 will be valid.

4) Now neither F nor C is sitting at an extreme end.

5) D is not an immediate neighbour of C.

Hence we will get the below arrangement,

E is sitting 2nd to the right of F.

64.

7 people: A, B, C, D, E, F and G are sitting in a straight line facing north.

1) A is third to the right of G.

2) B is an immediate neighbor of A

3) C is third to the right of B.

So here total two cases are possible.

Case-1, G _ _ A B _ _ C

Case-2, G _ B A _ C

In case -1 there should be total eight persons but in the question only seven people are given hence only case-2 will be valid.

4) Now neither F nor C is sitting at an extreme end.

5) D is not an immediate neighbour of C.

Hence we will get the below arrangement,

G is sitting 2nd to the left of B.

65.

7 people: A, B, C, D, E, F and G are sitting in a straight line facing north.

1) A is third to the right of G.

2) B is an immediate neighbor of A

3) C is third to the right of B.

So here total two cases are possible.

Case-1, G _ _ A B _ _ C

Case-2, G _ B A _ C

In case -1 there should be total eight persons but in the question only seven people are given hence only case-2 will be valid.

4) Now neither F nor C is sitting at an extreme end.

5) D is not an immediate neighbour of C.

Hence we will get the below arrangement,

A is sitting in middle.

Hence A has as many people sitting to his right as to his left.

B is sitting between D and A.

66.

The actual increasing order of the given series is

156 < 199 < 287 < 720 < 950

On adding first and second digits:

156 → 6

199 → 10

287 → 10

720 → 9

950 → 14

Here 6 is the lowest number.

Hence answer is 156.

67.

The actual increasing order of the given series is

156 < 199 < 287 < 720 < 950

The smallest number of the series is 156 and second digit of the smallest number is 5, the second largest number of the series is 720 and the third digit of the second largest number is 0.

On multiplying them we get 5 × 0 = 0.

Hence 0 is the correct option.

68.

The actual increasing order of the given series is

156 < 199 < 287 < 720 < 950

Multiplying each number by 5, we get

780 < 995 < 1435 < 3600 < 4750

The multiplication of 1st digit of the lowest number (7) and second digit of the largest number (7) = 7 × 7 = 49.

Hence 49 is the correct answer.

69.

We have drawn the figure according to the information given in the question:

Here distance between R & M is NO - PQ = 7 - 3 = 4 km.

Hence, the distance between R and M

is 4 km.

70.

We have drawn the figure according to the information given in the question:

Here distance between R & N is ON - OR = 7 - 3 = 4 km

Hence distance between R & N is 4 km.

71.

The correct answer is option 4, i.e., 'think differently about healthcare'.

The passage talks about how we need an interdisciplinary approach to deal with the diverse problems of healthcare. It talks about how we need to come up with a well organised public health system with supporting infrastructure.

Option 1, i.e., 'healthcare and politics', is rejected because politics has nowhere been mentioned in the passage.

Option 2, i.e., 'advancement in healthcare in India' does make an aspect of the passage but does not revolve around it. The passage is not talking about 'advancement'. It is talking about being more 'organised'.

Option 3, i.e., 'the importance of healthcare and first aid', is rejected for the same reason option 2 got rejected.

Option 5, i.e., 'helping people in need', is a very vague and incomplete sentence and is therefore rejected.

This leaves us with option 4 to be the correct answer.

72.

The correct answer is option 3, i.e., 'amalgamation'.

The sentence suggests that the fusion of public health and health services has dwarfed the growth of a comprehensive public health system.

The word 'integration' means 'to combine' or 'to mix'.

'Enhanced' means 'to increase'.

'Enables' means 'to authorise'.

'Amalgamation' means 'to combine' or 'to fuse'.

'Critical' means 'evaluative'.

'Sustained' means 'comforted'.

Out of the given words, the word that is most similar in meaning to 'integration' is 'amalgamation', making option 3 the correct answer.

73.

The correct answer is option 2, i.e., 'superior'.

The sentence suggests that as most nations realise the vitality of a robust public health system, India lacks a comprehensive model that isn't subordinate to healthcare services.

The word 'subservient' means 'subordinate' or 'less important'. Therefore, its opposite would mean 'more important' or 'superior'.

'Accrue' means 'result'.

'Superior' means 'better' or 'more important'.

'Reluctance' means 'unwillingness'.

'Systematic' means 'organised'.

'Opine' means 'to suggest'.

Out of all the given words, the only word that carries the most opposite meaning to 'subservient' is 'superior', making option 2 the correct answer.

74.

The correct answer is option 5, ie., ''all of the above'.

The reading of the passage indicates that all the first four given options are directly stated, making ‘all of the above’ as the right answer.

75.

The correct answer is option 5, i.e., 'all of the above'.

The correct answer has been mentioned in the second paragraph of the passage. The passage says:

Seat belt laws, regulations around food and drug safety, and policies for tobacco and substance use as well as climate change and clean energy are all intrinsic to health, but they are not necessarily the responsibilities of healthcare services.

Therefore, the correct answer is option 5.

76.

The correct answer is option 5, i.e., 'all 1,2 and 3'.

Option 1 and 2 have been stated in the second paragraph of the passage. And

option 3 has been stated in the last paragraph of the passage.

All these three has been directly mentioned in the passage, making option 5 the correct answer.

77.

The correct answer is option 2, i.e., 'The student's diversity enables them to learn different things and be more organised while dealing with diverse public health tragedies'.

We can infer from the passage that the diversity of students would enable them to deal with diverse public health tragedies like 'the 2017 Gorakhpur tragedy in Uttar Pradesh, the 2018 Majerhat bridge collapse in Kolkata, air pollution in Delhi and the Punjab narcotics crisis'.

Option 1 is rejected because it is not at all related to the passage.

Option 3 is rejected because it just mentions the incidents and does not make a proper answer.

Option 4 does make an aspect but it cannot be considered as the correct answer because option 2 is more elaborate than option 4. Therefore, option 4 gets rejected.

This leaves us with option 2 to be the correct answer.

78.

The correct answer is option 1, i.e., 'the quality of healthcare services'.

The answer has been mentioned in the last paragraph of the passage. The passage says:

'...the quality of healthcare services is critical to prevent morbidity and mortality.'

Therefore, option 1 is the correct answer.

79.

The clue of the answer lies in the

phrase ‘she crawled back ….’ which is

in the simple past tense, so the former

part of the sentence should also be in

the past tense so that rules out the

probability of options 1 and 2 as the

correct option. Between options 3 and

4, option 4 is incorrect because ‘every’

suggests a singular noun so after it

‘dawns’ is wrong, so option 3 is the

correct answer. The first part of the

sentence in in the passive voice and

thus the correct phrase to be used is

‘awakened every dawn by’.

80.

The correct preposition to be used is

‘about’ as the standard construction is

to have ‘an air about something’.

Between options 2 and 3, option 3 is

grammatically correct as the sentence

is speaking about a singular gesture

further emphasized by the use of the

word ‘this’. Thus, ‘air about this

gesture’ is the correct answer.

81.

The second part of the sentence talks

about two causes that had made Laila

inattentive in class which are joined by

a copulative conjunction ‘and’. There

is a comparison between the two and

the preposition ‘between’ is used when

referred to only two objects. ‘Among’ is

used when we refer to more than two

objects. To correct the sentence, we

simply need to use ‘between’ in place

of ‘among’ and thus option 2 is the

correct answer.

82.

The phrase ’was not alive anymore’

should be surveyed thoroughly to find

the correct answer since it gives us the

clue of the tense of the sentence which

is past tense , so option 4 cannot be the

correct answer. Option 2 changes the

meaning of the sentence altogether. It

is a fundamental rule of grammar that

after ‘could’ always the present tense

of the verb is used, which is there in

option 1 so it is the correct answer. Eg:

We could go halfway.

83.

In the given sentence the subject’s

objection to bed rest is in simple

present and the reason given is in the

present continuous tense. Thus there

is a mismatch between the tenses.

Both the parts need to be in the simple

present tense and thus the fourth part

of the sentence should be in the simple

present tense and thus it should be ‘I

feel so lousy’.

84.

The sentence has two phrases, the

former stating a universal truth and

the latter being labelled as a truth itself

by the phrase ‘in any case’. For such

statements, we always use the simple

present tense and thus the correct verb

to be used in the simple present is ‘is’

in the third part of the sentence.

85.

The subject of the sentence must agree

with the verb. A ‘favour’ in itself is

singular and hence the singular verb

‘was’ must be used instead of ‘were’.

86.

There is no error in this sentence and

thus option 5 is the correct answer.

87.

Though both ‘farther’ and ‘further’ are the comparative degree of comparisons for ‘far’, they have different meanings. ‘Farther’ is used more to refer to physical distances, while ‘further’ is used to refer to figurative and nonphysical distances. Eg: Paris is ‘farther’ away than Madrid. The marketing team falls ‘further’ away from its goal. Thus, the error is in the third part of the sentence.

Please note:

It may seem like 'have been' is incorrect; however, one must observe

that part 4 of the sentence has the word 'their' hence the use of 'have been' is correct.

88.

Words C and E have been interchanged.

(C) :- here ‘nutritional’ is the correct word. The meaning of ‘nutritional’ is ‘relating to the process of providing or obtaining the food necessary for health and growth’. ‘nutritional deficiencies’ form a meaningful phrase.

(E) :- here ‘anomaly’ is the correct word. The meaning of ‘anomaly’ is ‘something that deviates from what is standard, normal, or expected’. Phrases such as ‘congenital deformities’ and ‘cleft lip’ suggest that ‘palate anomaly’ is the correct phrase here and not ‘palate nutrioional’.

Other words are placed correctly.

Correct sentence – ‘Smoking, alcohol consumption, exposure to chulha smoke or passive smoking, over-medication and radiation exposure during the first few weeks of pregnancy along with nutritional deficiencies may lead to congenital deformities of the face such as cleft lip and palate anomaly, according to a study by AIIMS.’

89.

Words A and B, and C and E have been interchanged.

(A) :- here ‘present’ is the correct word. The meaning of ‘present’ is ‘give or

award formally or ceremonially’. ‘present before the Parliament a plan’ forms a meaningful phrase.

(B) :- here ‘change’ is the correct word. The meaning of ‘change’ is ‘modify, alter’. ‘plan to change the Constitution’ forms a meaningful phrase.

(C) :- here ‘board’ is the correct word. The meaning of ‘board’ is ‘a group of persons having managerial, supervisory, investigatory, or advisory powers’. ‘cricket board’ is a suitable phrase according to the context.

(E) :- here ‘governance’ is the correct word. The meaning of ‘governance’ is ‘the action or manner of governing a state, organization, etc.’. since the working of the nation’s cricket board has to be made efficient, hence ‘governance’ is the most suitable word here.

Correct sentence – ‘Colombo Sri Lanka Sports Minister Harin Fernando on Friday said he would soon present before the Parliament a plan to change the Constitution of the nation’s cricket board (SLC) in a bid to streamline its governance.’

90.

Words A and C, and B and E have been interchanged.

(A) :- here ‘pure’ is the correct word. ‘pure’ here means ‘sheer, absolute, perfect’. Since the sentence lays emphasis on the qualities of cricketer Rishabh Pant, therefore ‘pure’ is the most appropriate word here.

(B) :- here ‘opener’ is the correct word. ‘opener’ here refers to ‘opening

batsman’, i.e. the batsman who starts the inning of a match.

(C) :- here ‘effortless’ is the correct word. The meaning of ‘effortless’ is ‘easy, unchallenging’. Since, he can hit a six very easily without much effort, ‘effortless’ is an appropriate word.

(E) :- here ‘former’ is the correct word. The meaning of ‘former’ is ‘ex-, erstwhile’. Since, Ashish Nehra earlier played for Indian cricket team, therefore ‘former’ is the most appropriate word here.

Correct sentence – ‘A pure match-winner, a back-up opener and an effortless six-hitter in the class of Rohit Sharma — Rishabh Pant merits selection in India’s World Cup squad and there are more than one reasons for it, feels former pacer Ashish Nehra.’

91.

It can be easily inferred that statement C is the first sentence as it introduces the topic of schizophrenia. The second sentence is A because it describes the characteristic of schizophrenia. The third sentence E takes the premise forward. The fourth sentence is D stating what the implications are of the hallucinations. The fifth sentence is B because it explains how their social behavior is affected. The concluding sentence F states the effects of the seclusion mentioned in the previous sentence.

The correct order is CAEDBF.

The first sentence is C.

92.

It can be easily inferred that statement C is the first sentence as it introduces the topic of schizophrenia. The second sentence is A because it describes the characteristic of schizophrenia. The third sentence E takes the premise forward. The fourth sentence is D stating what the implications are of the hallucinations. The fifth sentence is B because it explains how their social behavior is affected. The concluding sentence F states the effects of the seclusion mentioned in the previous sentence.

The correct order is CAEDBF.

The second sentence is A.

93.

It can be easily inferred that statement C is the first sentence as it introduces the topic of schizophrenia. The second sentence is A because it describes the characteristic of schizophrenia. The third sentence E takes the premise forward. The fourth sentence is D stating what the implications are of the hallucinations. The fifth sentence is B because it explains how their social behavior is affected. The concluding sentence F states the effects of the seclusion mentioned in the previous sentence.

The correct order is CAEDBF.

The third sentence is E.

94.

It can be easily inferred that statement C is the first sentence as it introduces the topic of schizophrenia. The second sentence is A because it describes the characteristic of schizophrenia. The third sentence E takes the premise forward. The fourth sentence is D stating what the implications are of the hallucinations. The fifth sentence is B because it explains how their social behavior is affected. The concluding sentence F states the effects of the seclusion mentioned in the previous sentence.

The correct order is CAEDBF.

The fourth sentence is D.

95.

It can be easily inferred that statement C is the first sentence as it introduces the topic of schizophrenia. The second sentence is A because it describes the characteristic of schizophrenia. The third sentence E takes the premise forward. The fourth sentence is D stating what the implications are of the hallucinations. The fifth sentence is B because it explains how their social behavior is affected. The concluding sentence F states the effects of the seclusion mentioned in the previous sentence.

The correct order is CAEDBF.

The sixth sentence is F.

96.

The correct answer is option 4.

It is clear from 'scanty rainfall' that the crops probably did not grow well (i.e. crop failed) and as a result farmers committed suicide.

Thus, option 4 is correct. The other options do not make any logical sense.

97.

The correct answer is option 1.

From the use of the phrase 'only work for so long' one can determine that the reduction (or as in option 1, exhaustion) of mental capacity is being talked about. Further, the second part of the option 'intervals' makes the sentence meaningful.

Thus, option 1 is correct.

98.

The correct answer is option 2.

The phrase 'achieve success' denotes that some positive quality must be denoted by blank 1. Option 2 i.e. 'persevere' satisfies this analysis.

'Persevere' means 'persistence in doing something despite difficulty or delay in achieving success'.

Further 'odds are against' is a popular phrase to denote unlikeliness. Thus option 2 makes the sentence meaningful.

99.

The correct answer is option 3.

It is clear from the context of the sentence that the intended meaning that is that the internet has allowed us to obtain (or access) a lot (multitude) of opportunities. Thus, option 3 makes the sentence meaningful.