frequently asked maths vol 1

7/24/2019 Frequently Asked Maths Vol 1

1/9

Sultan Mahmud Cxlvii

Banking Career in BangladeshDecember 19, 2014

FREQUENTLY ASKED MATHSPractice Sheet || Vol. 01


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This practice sheet consists of 50 frequently asked math

problems. Try yourself to solve the problems. If you cannot,

discuss with the other members of this group.

Please, dont copy the answers given by others, try to

understand the true logic that is used to solve each and

every problem given in this practice sheet.


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1. WHAT WOULD BE THE PERCENTAGE INCREASE IN THE AREA OF A RECTANGULAR GARDEN IF THE

LENGTH AND WIDTH OF THE GARDEN BOTH ARE INCREASED BY 30%?

A. 20% B. 24% C. 69% D. 27% E. 81%

2. IN A SHIPMENT OF 150MACHINE PARTS 10%WERE DEFECTIVE AND IN ANOTHER SHIPMENT OF 100

MACHINE PARTS 5%WERE DEFECTIVE.FOR THE TWO SHIPMENTS COMBINED,WHAT PERCENT OF THE

MACHINE PARTS WERE DEFECTIVE?

A. 7.5% B. 8% C. 8.5% D. 9% E. 10%

3. THE DIFFERENCE OF TWO NUMBERS IS 2AND THE DIFFERENCE OF THEIR SQUARES IS 16.THE DIFFERENCE

OF THEIR CUBES WILL BE BETWEEN:

A. 50 and 60 B. 60 and 70 C. 80 and 90 D. 90 and 100 E. 100 and 110

4. IF A AND C BOTH ARE ODD NUMBERS,WHICH OF THE FOLLOWING NUMBERS MUST BE N EVEN NUMBER?

A. a + c B. ac C. ac + 2 D. a + c + 1 E. 2a + c

5.

IF M +N =3AND N/M =2,THEN N IS EQUAL TO:

A. 1 B. 0 C. 2 D. 1.5 E. 0.5

6. HOW MANY 4-DIGIT NUMBERS GREATER THAN 7,000CAN BE FORMED FROM THE DIGITS 3,5,7,8

AND 9?

A. 48 B. 60 C. 72 D. 80 E. 82

7. FIND THE APPROXIMATE FUTURE VALUE OF TK.5,000AT 10%P.A.FOR 9MONTHS:

A. Tk 4,375 B. Tk 5,375 C. Tk 6,375 D. Tk 7,375 E. Tk 8,375

8. IF X%OF 40IS Y,THEN 10X IS EQUAL TO:

A. 4y B. 10y C. 25y D. 100y E. 400y


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9. IF 25(5^X)=1,THEN THE VALUE OF X IS:

A. -2 B. -1 C. 0 D. 1 E. 2

10.

MACHINE APRODUCES 100PARTS TWICE AS FAST AS MACHINE BDOES.MACHINE BPRODUCES100PARTS IN 40MINUTES.IF EACH MACHINE PRODUCES PARTS AT A CONSTANT RATE,HOW MANY

PARTS DOES MACHINE APRODUCE IN 6MINUTES?

A. 30 B. 25 C. 20 D. 15 E. 7.5

11.THE PRICE OF RICE GOES UP BY 25%BY HOW MUCH SHOULD THE CONSUMPTION OF RICE BE REDUCED

TO KEEP THE TOTAL EXPENDITURE ON RICE AT THE PREVIOUS LEVEL?

A. 25% B. 20% C. 33.3% D. 24% E. 17.8%

12.THE PRICE OF RICE GOES UP BY 25%. BY HOW MUCH SHOULD THE CONSUMPTION OF RICE BE

REDUCED TO KEEP THE TOTAL MACHINE APRODUCE IN 6MINUTES?

A.1 B. 2 C.2 D. 3 E. 4

13.

WHAT IS THE RATE OF DISCOUNT IF A PRODUCT COSTING TK 500IS SOLD FOR TK 470?

A. 0.05 B. 0.06 C. 0.03 D. 0.03 E. 0.30

14.IN A SURVEY OF PEOPLE OWING CARS OR TVS IT WAS REVEALED THAT 6%OF THOSE SURVEYED

OWNED A CAR AND 48%OF THOSE SURVEYED OWNED A TV.IF 5%OWNED BOTH A CAR AND A TV,

WHAT PER CENT OF THEM OWNED A CAR,OR A TVOR BOTH?

A. 42% B. 54% C. 50% D. 49% E. 53%

15.ASTORE LOSES ONE TENTH OF ITS MERCHANDISE DUE TO FIRE.AN INSURANCE COMPANY REIMBURSES

THE STORE FOR TWO-FIFTHS OF LOST MERCHANDISE.THE INSURANCE COMPANY PAID THE STORE TK

8,250.WHAT WAS THE VALUE OF THE STORES TOTAL INVENTORY BEFORE THE FIRE?

A. Tk 2.060 B. Tk 12,875 C. Tk 51,500 D. Tk 206,250 E. Tk 160,000


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16.THE PRICE OF A TELEVISION SET IS DISCOUNTED BY 10% AND THE REDUCED PRICE IS FURTHER

DISCOUNTED BY 10%.THE SERIES OF SUCCESSIVE DISCOUNT IS EQUIVALENT TO A SINGLE DISCOUNT

OF:

A. 25% B. 65% C. 29% D. 20% E. 19%

17.AN INVESTOR WANTS TO HAVE $1MILLION IN 20YEARS. IF THE RETURN IS 10%COMPOUNDED

ANNUALLY,WHAT LUMP-SUM AMOUNT SHOULD BE INVESTED TO ATTAIN THE GOAL OF THE INVESTOR?

A. $ 100,000 B. $117,459 C. $ 148,644 D. $161,506 E. $500,000

18.IF M =N =3S AND M.N.S =243,THEN S IS EQUAL TO:

A. 4 B. 22 C. 3 D. 33 E. 9

19.IF YOU DISTRIBUTE TK 25,800BETWEEN TWO PERSONS AT THE RATIO OF 8:2,THE DIFFERENCE BETWEEN

THEIR SHARES WOULD BE.

A. Tk 20,640 B. Tk 15,480 C. Tk 5,160 D. Tk 18,060 E. 12,900

20.

IF THE POPULATION OF DHAKA DOUBLES EVERY 10YEARS,HOW MANY TIMES THE POPULATION OF THE

CITY WILL BE IN THE YEAR X+100AS COMPARED TO THE YEARS X?

A. 200 B. 1,990 C. 1,000 D. 100 E. 1,024

21.ANUMBER OF BUILDING BLOCKS WERE PURCHASED TO CONSTRUCT A WALL AT COST OF TK 40EACH,

BUT ONLY 5/6TH OF THEM WERE USED.IF THE UNUSED 290BRICKS WERE RETURNED AND THEIR COST

REFUNDED,WHAT WAS THE COST OF BUILDING BLOCKS USED TO MAKE THE WALL?

A. 76,000 B. Tk 22,800 C. Tk 30,400 D. Tk 41,400 E. Tk 58,000

22.ADING-DONG RESTAURANT AKRAM AND MAISHA PAY TK 240AS SALES TAX AFTER A TK 4000

LUNCH.IF MAISHA HAD ORDERED THREE MORE DISHES SO THAT THEIR LUNCH HAD COST TK 6,000,

HOW MUCH THEY WOULD HAVE TO PAY IN SALES TAX?

A. Tk 260 B. Tk 600 C. Tk 412 D. Tk 360 E. Tk 375


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23.IF 2^2X =8^(X-1),THE VALUE OF X IS EQUAL TO:

A. 2 B. 4 C. 5 D. 6 E. 3

24.

ABUS USES 18GALLONS OF PETROL IN FUEL IN TRAVELING 270MILES.BY HOW MANY MILES PERGALLON THE FUEL MILEAGE OF THE BUS MUST BE INCREASED IN ORDER FOR IT TO TRAVEL THE SAME

DISTANCE USING 10GALLONS OF PETROL FUEL?

A. 8 B. 9 C. 12 D. 15 E. 27

25.IN A CLASS OF 50STUDENTS 30HAVE TAKEN ECONOMICS,24HAVE TAKEN MATHEMATICS AND 10

HAVE TAKEN BOTH SUBJECTS. HOW MANY STUDENTS HAVE TAKEN NEITHER ECONOMICS NOR

MATHEMATICS?

A. 6 B. 4 C. 2 D. 8 E. 9

26.TOYOTA ROAD TOURER GOES 15MILES ON A GALLON OF GAS WHEN IT IS DRIVEN AT 50MILES PER

HOUR.WHEN THE CAR IS DRIVE AT 60MILES PER HOUR IT ONLY GOES 60%AS FAR.HOW FAR WILL

TRAVEL ON A GALLON OF GAS AT 60MILES PER HOUR?

A. 12 miles B. 9 miles C. 20 miles D. 15 miles E. 7.5 miles

27.TWO CARS START FROM THE SAME POINT AND TRAVEL IN OPPOSITE DIRECTIONS.IF ONE CAR TRAVELS

AT 45MILES PER HOUR AND THE OTHER AT 60MILES PER HOUR,HOW MUCH TIME WILL PASS BEFORE

THEY ARE 210APART?

A. 1.5 hours B. 2 hours C. 2.5 hours D. 3 hours E. 3.5 hours

28.WHAT WILL BE THE APPROXIMATE FUTURE VALUE OF TK 1,000 IN 10YEARS AT 10% PER YEAR IF

INTEREST IN CALCULATED MONTHLY?

A. 2,000 B. 2,2000 C. 2,500 D. 2,700 E. 3,000


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29.YOU WANT TO EARN AN ANNUAL INTEREST OF 10%ON A NOTE THAT YOU WANT TO BUY.WHAT

SHOULD BE THE NEAREST AMOUNT (IN TAKA)THAT YOU WOULD PAY FOR THE NOTE IF IT IS WORTH TK

5,000AND MATURES IN 9MONTHS?

A. 4,000 B. 5, 500 C. 4,400 D. 4, 750 E. 4, 650

30.YOU SPENT A TOTAL OF TK 3,000OUT OF WHICH TK 300WAS SPENT ON MEAT.WHAT ANGLE WAS

CREATED FOR MEAT IN A PIE-CHART?

A. 100 degree B. 36 degree C. 46 degree D. 60 degree E. 10 degree

31.AHNAAF PURCHASED BRAND AT-SHIRTS FOR TK400A PIECE AND BRAND B-T-SHIRT FOR TAKA 280

A PIECE.IF AHNAAF PURCHASED A TOTAL OF 12OF THESE T-SHIRTS FOR TAKA 4,200,HOW MANY

BRAND AT-SHIRTS DID HE PURCHASE?

A. 4 B. 5 C. 6 D. 7 E. 8

32.AMAN BORROWS TK 20,000AT 4%COMPOUND INTEREST AND AGREES TO PAY BOTH THE PRINCIPAL

AND THE INTEREST IN 10 EQUAL ANNUAL INSTALMENTS AT THE END OF EACH YEAR.WHAT IS THE

AMOUNT OF THESE INSTALMENTS?

A. 2,360 B. 2,415 C. 2,470 D. 2,475 E. 2,510

33.ATRADER MARKS UP IS 100%.DURING THE FIRST WEEK HE ALLOWS 20%DISCOUNT ON THE MARK

UP PRICE.DURING THE SECOND WEEK HE AGAIN ALLOWS 20%DISCOUNT ON DISCOUNTED PRICE.

HOW MUCH DOES THE TRADER MAKE PROFIT ON SECOND WEEKS SALE?

A. 100% B. 50% C. 80% D. 28% E. 60%

34.

IF 5Y =2Y6,WHAT DOES Y +5EQUAL?

A.3 B. 3 C. 7 D. 5 E.2

35.IF A +B =X +Y,WHAT WILL BE THE VALUE OF AB?

A. ax B. by C. xy D. ab E. xy


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36.FIND OUT THE NEXT NUMBERS IN A SEQUENCE OF 3,6,11,18

A. 24 B. 25 C. 26 D. 27 E. 28

37.

FIND OUT THE VALUE OF 2A +2B IF A +2B =6AND A +B =10.

A. 1 B. 4 C. 20 D.6 E.20

38.THE FIRST 100COPIES OF A BOOK COST TK X EACH.AFTER THE FIRST 100COPIES HAVE BEEN PRINTED,

EXTRA COPIES COST TK X/10EACH.HOW MUCH TAKA WOULD BE REQUIRED TO PRINT 300COPIES

OF THE BOOK?

A. 120x B. 140x C. 150x D. 160x E. 200x.

39.DISTRIBUTE 6000ITEMS AMONG 2GIRLS,5BOYS AND 3MEN IN SUCH A WAY THAT A BOY WILL GET

TWICE THE ITEMS A GIRL GETS AND A MEN WILL GET THRICE OF WHAT A BOY GETS.HOW MANY ITEMS

2MEN WILL GET?

A. 200 B. 2400 C. 1200 D. 4800 E. 1000

40.

MACHINE AFILLS 120BOTTLES IN EVERY 40SECONDS AND MACHINE BFILLS 100BOTTLES IN EVERY20SECONDS.IF THE TWO MACHINES RUN SIMULTANEOUSLY FILL,HOW MANY SECONDS WILL IT TAKE

TO PRODUCE A TOTAL OF 200BOTTLES?

A. 20 B. 22 C. 25 D. 28 E. 32

41.IF (7.5/.5+X)=10,THEN X =

A. 0.3 B. 0.5 C. 2.5 D. 0.1 E. 0.25

42.ABCIS AN ISOSCELES TRIANGLE.ITS TWO SIDES ABAND ACARE EQUAL TO ONE ANOTHER AND

BAC=20DEGREE.THE BASELINE BCIS EXTENDED UPTO D.OF HOW MANY DEGREES IS THE ANGLE

ACD?

A. 80 degree B. 100 degree C. 90 degree D. 110 degree E. 120d degree


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43.IF THE TOTAL SALARY EXPENSE OF A COMPANY IN YEAR YWAS TK.84,000,WHICH WAS 20%MORE

THAN IN YEAR X,WHAT WAS THE TOTAL SALARY EXPENSE IN TAKA IN YEAR X?

A. 64,000 B. 68,320 C. 70,000 D. 60,000 E. 52,320

44.IF A >B >C,THEN WHICH OF THE FOLLOWING IS TRUE?

A. ab < bc B. ac > ab C. a + b = b + c D. ac < ab E. a + b > 2a

45.WHAT PERCENT OF 3/4IS 1/4OF 3/5?

A. 15% B. 20% C. 33 1/3% D. 75% E. 80%

46.BETWEEN TWO CONSECUTIVE NUMBERS IF ONE-FOURTH OF THE SMALLER ONE EXCEEDS THE ONE-FIFTH

OF LARGER ONE BY 3,FIND OUT THE NUMBERS.

A. 64 & 65 B. 60 & 61 C. 44 & 45 D. 40 & 41 E. 20 & 21

47.IN HOW MANY WAYS CAN 4BANGLADESHIS AND 4AMERICANS BE SEATED AT A ROUND TABLE SO

THAT NO TWO BANGLADESHIS MAY BE TOGETHER?

A. 104 B. 124 C. 134 D. 144 E. 154

48.IN THE FINAL EXAMINATION 20%STUDENTS FAILED IN MATH AND 25%STUDENTS FAILED IN BANGLA.

FIFTEEN PERCENT STUDENTS FAILED IN BOTH BANGLA AND MATH.IF 28STUDENTS PASSED IN BOTH

BANGLA AND MATH,WHAT IS THE TOTAL NUMBER OF STUDENTS?

A. 40 B. 12 C. 30 D. 56 E. 80

49.

ALI LIVES 4KM NORTH OF SCHOOL AND MOSHI LIVES 3KM EAST OF SCHOOL.ASTRAIGHT ROAD IS

MADE BETWEEN ALIS HOUSE AND MOSHIS HOUSE.IF THE COST OF ROAD IS TAKA 100,000PER KM,

WHAT IS TOTAL COST OF CONSTRUCTING THE ROAD IN TAKA?

A. 7,00,000 B. 6,00,000 C. 5,00,000 D. 4,00,000 E. 8,00,000

50.IF P IS LESS THAN Q WHICH OF THE FOLLOWING NUMBERS IS GREATER THAN P AND LESS THAN Q?

A. ((p+q)/2 B. (pq)/2 C. q^2p^2 D. pq E. qp

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