gmat quant strategy- what to expect in quantitative reasoning section on the gmat

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What to expect in GMAT Quant

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Learn some practice tips & strategies from our experts on how to crack GMAT Quant! Shortcuts, success formulas & Math mantras- all to take you a step ahead of the GMAT competition!

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Page 1: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

What to expect in

GMAT Quant

Page 2: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Two different aspects of GMAT Quant:

• Problem Solving

• Data Sufficiency

Page 3: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Properties of every GMAT question

• Solvable within 2 minutes

• Tests specific abilities• Math Camouflage• Extremes are always tested

Page 4: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Let us see a question:

If abc = bcd, is a = d?

(1) b = c(2) bc>0

Always try to get what the question is trying to test!

Page 5: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

‘x’ is an integer and ‘a’ is an even integer. Is x an odd integer?

(1) Xa is an odd integer(2) |a|a > a

Every question has a skeleton and things are coated !

Page 6: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

A square of side with 10 units has one of its vertex at origin. If all the coordinates of the square are integers, then how many such squares are possible?

1) 42) 83) 104) 125) 15

Never go for the obvious answer!

Page 7: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

With the GMAT its never the usual

What is the value of x?

(1)3x = 2y + 21

(2)3y = 4.5x – 31.5

Page 8: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

For a school fundraiser, a class of nine students sold bags of popcorn for $1.00 each bag. They sold a total of 45 $ worth of bags in total. If no two students sold the same number of bags, how many students did not record a sale?

(1) The highest total recorded by one student was 9 $

(2) The lowest total recorded by one student was 1 $

With the GMAT its never the usual!

Page 9: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Start learning from question types:

XY>0

What is he/she trying to test?

Page 10: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

(X/Y) > 1

What is he/she trying to test?

Page 11: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

X|X|>X

What is he/she trying to test?

Page 12: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If p < q, p < r and p, q and r are integers , is (p)(q)(r) < p?

(1) pq < 0

(2) pr < 0

Every word has a purpose!

Page 13: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Start learning from question types:

If p < q, p < r, is (p)(q)(r) < p?

(1) pq < 0

(2) pr < 0

Page 14: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

What is the value of y?

(1) 3|x 2 – 4| = y - 2

(2) |3 – y| = 11

Page 15: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

What is the value of |x|?

(1) |x 2 + 16| - 5 = 27

(2) x 2 = 8x - 16

Page 16: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Question maker drops hints

‘x’ is a non negative integer such that 12x is a factor of 17281212. Which of the following can be equal to xy – yx ?

A) 1B) -1C) 0D) 12E) 144

Page 17: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

‘a’ and ‘b’ are positive integers and If a + b is divisible by 3, is ‘a’ divisible by 3?

(1) a + 2b is divisible by 3(2) 2a + b is divisible by 3

Page 18: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

For non-negative integers x, y and m, what is the greatest value of m for which xm is a factor of y! ?

(1) y = x – 1 (2) x is a prime number

Page 19: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Some points that help!

Average of numbers in arithmetic progression!

Page 20: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

What is the median of a set of consecutive numbers?

1) The average of all the numbers is 122) There are 4 numbers in the list

Page 21: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

What is the mean of a set of seven consecutive numbers?

1) The average of first three is 132) The average of last three is 17

Page 22: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.

(2) The range of set S is divisible by 4.

Page 23: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Always, Always, Always keep it simple in Geometry

How to keep it Simple?

Page 24: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

A B100 100

100 100

If AB, AC and BD are the sides of a regular polygon, then how many sides does that polygon has?

Don’t tell anyone!

Page 25: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If the area of the square is 16 square units then what is the area of the regular Octagon?

Don’t tell anyone!

Page 26: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Adding/Subtracting inequalities:

Is xy > 0 ?

1) x - y > -22) x - 2y < -6 

Page 27: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Confusing Questions

One pound of banana costs 1 $. A banana pie requires 3 cups of dried banana. When dried banana loses its one fifth of weight. Two cups of dried banana make up one pound of dried banana. If David makes ‘x’ pies, then what will be the cost in terms of x?

Don’t tell anyone!

Page 28: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Keep Pace with Numbers

If a and b are integers and a/b and a – b are even integers then which of the following must be an odd integer:

(a/2)(b/2)(a + b)/2(a + 2)/2(b + 2)/2

Don’t tell anyone!

Page 29: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Summing Up

Always try to get what the question is trying to test

Every question has a skeleton and things are coated

Never go for the obvious answer

With the GMAT its never the usual

Every word has a purpose

Question maker drops hints

Play with Numbers

Page 30: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Some questions with a purpose:

Page 31: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

What is the value of N?

(1) N! ends with 28 zeroes(2) (N+2)! ends with 31 zeroes and (N-1)! ends with 28 zeroes

What is the value of the two-digit positive integer n?

(1) When n is divided by 5, the remainder is equal to the tens digit of n.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.

Page 32: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Is positive integer n – 1 a multiple of 3?

(1) n3 – n is a multiple of 3

(2) n3 + 2n2+ n is a multiple of 3

Page 33: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Is x > 0?

(1) |x + 3| = 4x – 3

(2) |x + 1| = 2x – 1

Page 34: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If x is a positive integer greater than 1, is x! + x + 1 a

prime number?

(1) x < 10

(2) x is odd

Page 35: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If x, y, and z are integers greater than 1, and (327)(3510)(z) = (58)(710)(914)(xy), then what is the value of x?

(1) z is prime

(2) x is prime

Page 36: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If x is a positive integer, what is the units digit of 3x?

(1) x = 10k2 + 1, where k is a positive integer.(2) The units digit of x2 is 1.

Page 37: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If x and y are non-zero integers and |x| + |y| = 32, what is xy? 

(1) -4x – 12y = 0

(2) |x| – |y| = 16

Page 38: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in theroom. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?

5/21

3/7

4/7

5/7

16/21

Page 39: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Machines A and B each produce tablets at their respective constant rates. Machine A has produced 30 tablets when Machine B is turned on. Both machines continue to run until Machine B’s total production catches up to Machine A’s total production. How many tablets does Machine A produce in the time that it takes Machine B to catch up? (1) Machine A’s rate is twice the difference between the rates of the two machines.

(2) The sum of Machine A’s rate and Machine B’s rate is five times the difference between the two rates.

Page 40: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

x is the sum of y consecutive integers. w is the sum of z consecutive integers. If y = 2z, and y and z are both positive integers, then each of the following could be true EXCEPT

x = w

x > w

x/y is an integer

w/z is an integer

x/z is an integer

Page 41: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Six mobsters have arrived at the theater for the premiere of the film “Goodbuddies.”  One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him.  How many ways can the six arrange themselves in line such that Frankie’s requirement is satisfied?

6 24 120 360 720

Page 42: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in four colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?

24 32 48 60 192

Page 43: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

If line L in the xy-coordinate plane has a positive slope, what is the x-intercept of L ? (1) There are different points (a, b) and (c, d) on line L such that ad = bc. (2) There are constants m and n such that the points (m, n) and (–m, –n) are both on line L.

Page 44: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

Leila is playing a carnival game in which she is given 4 chances to throw a ball through a hoop. If her chance of success on each throw is 1/5, what is the chance that she will succeed on at least 3 of the throws?

Page 45: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

What is x? 

(1) |x| < 2 

(2) |x| = 3x – 2

Page 46: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

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Page 47: GMAT Quant Strategy- What to expect in Quantitative Reasoning Section on the GMAT

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