Dear Readers, Arithmetic Question Asked in IBPS Clerk main 2016 was given here.

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**QUANTITATIVE APTITUDE -MISCE. WISE QUESTIONS- BANK/INSURANCE/IPPB SET -12**

1) One fill pipe A takes 3 minutes more to fill the cistern than two fill pipes A and B opened together to fill it. Second fill pipe B takes minutes 21 1/3 more to fill cistern than two fill pipes A and B opened together to fill it. When will the cistern be full if both pipes are opened simultaneously.

(a) 7 minutes (b) 16 minutes (c) 8 minutes (d) 10 minutes (e) 12 minutes

2) In an examination P scored 25 marks less than Q. Q scored 45 more marks than R. T scored 75 marks which is 10 more than R. U’s score is 80 less than maximum marks of the test. What approximate percentage of marks did U score in the examination if he gets 55 marks more than R?

(a) 90 (b) 70 (c) 80 (d) 60 (e) 85

3)The difference between the sum of four consecutive odd numbers and three consecutive even numbers together is 20. Also, the largest even number is 5 more than the largest odd number. What is the sum of the smallest odd number and the smallest even number ?

(a) 77 (b)71 (c) 879 (d) 83 (e) Cannot be determined

4) Anoop sells a book to Mayank at a profit of 20% and Mayank sells this book to Siddharth at a profit of 25%. Now Siddharth sells this book at a loss of 10% to Shishir. At what percentage loss should Shishir sells this book now so that his SP becomes equal to Anoop’s CP?

(a) 36.68% (b) 25.92% (c) 48.66% (d) 16.46% (e) Cannot be determined

5) A shopkeeper marks up the price of his product by 40%. If he increases the discount from 5% to 10% ,the proﬁt would decrease by Rs 14. How much proﬁt would he earn if he gives a discount of 20% on the marked price?

(a) Rs. 56 (b) Rs. 28 (c) Rs. 32 (d) Rs. 24 (e) Rs. 38

6) Monica deposited a total of Rs. 10500 with a bank in two different deposit schemes at 10% p.a., interest being compounded annually. As per the schemes, she gets the same amount after 2 years on the first deposit as she gets after 3 years on the second deposit. How much money did she deposit for 3 years?

(a) Rs. 4500 (b) Rs. 5000 (c) Rs. 6500 (d) Rs. 7200 (e) None of these

7) Sapna borrowed a certain sum of money from Kavita under the following repayment scheme based on simple interest. 8% p.a. for the initial 2 years, 9.5% p.a. for the next 4 years, 11% p.a. for the next 2 years, 12% p.a. after the first 8 years. Find the amount which a sum of Rs. 9000 taken for 12 years becomes at the end of 12 years?

(a) Rs. 20160 (b) Rs. 22350 (c) Rs. 23470 (d) Rs. 24567 (e) None of these

8) A, B and C enter into a partnership. A invests Rs. 8000 for the whole year, B puts in Rs. 12000 at the first and increasing to Rs. 16000 at the end of 4 months, whilst C puts in at first Rs. 16000 but withdraw Rs. 4000 at the end of 9 months. Find the profit of A at the end of year, if the total profit is Rs. 22600. (a) Rs. 4800 (b) Rs. 4600 (c) Rs. 4750 (d) Rs. 4300

(e) None of these

9) Two places P and Q are 92 km apart. A train leaves P for Q and at the same time another train leaves Q for P. Both the trains meet 4 hrs after they start moving. If the train travellingfrom P to Q travels 7 km/hr faster than the other train, find the speed of the two trains.

(a) 15 km/hr, 8 km/hr (b) 12 km/hr, 8 km/hr (c) 12 km/hr, 9 km/hr (d) 15 km/hr, 9 km/hr

(e) None of these

10) A and B working together, can do a piece of work in 4 1/2 hours. B and C working together can do it in 3 hours. C and A working together can do it in 2 1/4 hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?

(a) 3 hours (b) 2 hours (c) 2.5 hours (d) 1 hours (e) None of these

11) Raman took a loan of Rs. 15000 from Laxman. He was agreed that for the first three years rate of interest charged would be at 8% Simple Interest per annum and at 10% Compound Interest (compounded, annually) from the fourth year onwards. Ram did

not pay anything until the end of the fifth year. How much would he repay if he clears the entire amount, only at the end of fifth year ? (inRs.)

(a) Rs. 22506 (b) Rs. 22105 (c) Rs. 22900 (d) Rs. 22500 (e) Rs. 22450

12) Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was

Ram driving from point A to B ?

(a) 15 kmph (b) 35 kmph (c) 30 kmph (d) 25 kmph (e) 20 kmph

13) 6 litres are drawn from a cask full of wine and it is then filled with water. 6 litres of the mixture are drawn and the cask is again filled with water. The quantity of wine now left in the cask is to that of the water in it as 121 : 23. How much does the cask hold?

(a) 54 litres (b) 62 litres (c) 70 litres (d) 72 litres (e) None of these

14) A passenger train leaves Calcutta at 4 PM and travels at the rate of 30 kilometres an hour. The mail train leaves Calcutta at 9 PM and travels, on a parallel line of rails, at the rate of 45 km an hour, when will the second train overtake the first?

(a) 10 hrs after the first train start (b) 12 hrs after the second train starts (c) 10 hrs after

(b) the second train starts (d) 12 hrs after the first train starts (e) None of these

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**SOLUTIONS **

1.c)**TRICKS**

√{3.(64/3)} = 8 MINUTES

2.d)

Marks of T = 75

Marks of R = 65

Marks of Q = 110

Marks of P = 85

Marks of U = 120

Maximum marks = 200

Required percentage = (120/200) * 100= 60 %

3.a)**TRICKS**

Let the odd numbers be x, x + 2, x + 4, x + 6

and the even numbers be y, y + 2, y + 4.

Now (4x + 12) – (3y + 6) = 20 And (y + 4) – (x + 6) = 5

Solving them, we get x = 35 and y = 42

Required sum = 35 + 42 = 77

4.b)**TRICKS**

Let initial CP of the book is X

∴Cost price of Shishir = (X * 120 *125 * 90)/(100 * 100 * 100)

= 1.35X

Required percentage loss = {(1.35x –X) *100}/1.35x = 25.92 %

5.d)**TRICKS**

5 % = 14

∴100% = 280

SP= 280

CP= 200

New SP = {280 * (100-20)}/100=224

Profit = 224-200= 24

6.b)**TRICKS**

P1/P2 = (1 + 10/100)3-2

P1/P2 =11/10

P2 = (10 * 10500)/21 = 5000

7.a)**TRICKS**

I * 100 = 9000(8*2 + 9.5 *4 + 11 * 2 + 12 *4)

I= 11160

Amount = 9000 + 11160= 20160

8.a)**TRICKS**

Ratio of investment A : B : C

A:b:c:=(8000×12) : (12000×4)+(16000×8) : (16000×9)+(12000×3) =24 : 44 : 45

Share of A =(24 *22600)/113 = Rs. 4800

9.a)**TRICKS**

Let the speed of second train X km/hr

∴Speed of First train = (X+ 9)

According to question

92= (X+9+X) * 4

X= 8

Speed of first train = 15 km/hr

10.b)**TRICKS**

(2 * 9/2 *3 * 9/4) /(9/2 *3 + 3*9/4 + 9/4*9/2)

11.a)**TRICKS**

For first 3 years , Amount *100= 15000(100+8*3)

Amount= 18600

After 3 years C.I 18600 * .21= 3906

Required answer 18600 + 3906 =22506

12.e)TRICKS

Total distance = 60 km

Let Ram’s speed X km/hr , Shyam’s Speed Y km/hr

60/X – 60/Y = 1 ..(i)

60/Y – 60/2x=1/2 … (ii)

From (i) & (ii)

X= 20 km/hr

13.d)**TRICKS**

Let Initially cask hold X litres of wine

(X-6)2 /(X) = (121)/(121 + 23)

(X-6)2 /(X.X) = (121)/(144)

(X-6)/X=11/12

X= 72 litres

14.c)**TRICKS**

Distance travelled by passenger train in ( 9-4 ) =5 hours

=5 *30 = 150 km

time required to cross the passenger train by mail train

150 = 15 * T

T= 10 hr

so second train will overtake the first, 10 hours after the second train starts

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**Thanks**

** Milan Jana**

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