Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many such pair of letters are there in the word ‘TROUBLED’ which have as many letters between them in the word as they have between them in the English alphabet?

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: A) 2

Explanation:

Hence there are two pairs

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13 5020
Q:

Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:

A) 13% B) 8.5%
C) 9.5% D) 11.25%
 
Answer & Explanation Answer: A) 13%

Explanation:

The ratio of money she lended is

24000 : 16000 = 3 : 2

Let the rate of interest be R%

 

8%                   R%
     

           10

 

3          :           2

 

R = 13%.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration

10 5007
Q:

Mr. and Mrs. Espedido’s property taxes, amounting to $2450, are due on July 1.What amount should the city accept if the taxes are paid eight months in advance and the city can earn 6% compounded monthly on surplus funds?

A) 2354.17 B) 2354
C) 2376 D) 2389
 
Answer & Explanation Answer: A) 2354.17

Explanation:

i=j/m

PV=  FV(1+  i)^-n 

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

1 4997
Q:

Find the lowest common multiple of 24, 36 and 40?

A) 360 B) 420
C) 240 D) 120
 
Answer & Explanation Answer: A) 360

Explanation:

To find the LCM of 24, 36 and 40

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

40 = 2 x 2 x 2 x 5 

Now, LCM of 24, 36 and 40 = 2 x 2 x 2 x 3 x 3 x 5

= 8 x 9 x 5

= 72 x 5

= 360

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

19 4990
Q:

If 3a=4b=6c and a+b+c=2729, then a2+b2+c2 =?

A) 81 B) 83
C) 87 D) None of these
 
Answer & Explanation Answer: C) 87

Explanation:

4b=6cb=32c    and   3a=4ba=43b=43(32c)=2c 

a+b+c=2729   2c+32c+c=2729  c=629

 

 a2+b2+c2=(a+b+b)2-2(ab+bc+ca) 

 

=(2729)2-22c×32c+32c×c+c×2c 

 

 =729×29-2×132 c2

= 87

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12 4986
Q:

Simplify: b-[b-(a+b)-{b-(b-a-b)}+2a]

A) 2b B) 1
C) 0 D) 3b
 
Answer & Explanation Answer: C) 0

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

14 4979
Q:

Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?

A) 19 B) 23
C) 17 D) 15
 
Answer & Explanation Answer: B) 23

Explanation:

If he wants to give these books equally to 2 of his friends, then 1 book will remain, it means possible number of books = 15,17,19,21,23,25,27,29
If he wants to give these books equally to 3 of his friends, then 2 books will remain, it means possible number of books = 17,20,23,26,29
If he wants to give these books equally to 4 of his friends, then 3 book will remain, it means possible number of books = 15,19,23,27
common number is only 23 so it will be answer

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

4 4975
Q:

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A) 26 minutes and 18 seconds B) 42 minutes and 36 seconds
C) 45 minutes D) 46 minutes and 12 seconds
 
Answer & Explanation Answer: D) 46 minutes and 12 seconds

Explanation:

L.C.M. of 252, 308 and 198 = 2772.

 

So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.

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2 4973