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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520?

A) 3.5% B) 4%
C) 5% D) 6.5%
 
Answer & Explanation Answer: C) 5%

Explanation:

Let 'R%' be the rate of interest

From the given data,

25202400 = 1 + R10041 + R1003⇒1 + R100 = 6360⇒R = 5

 

Hence, the rate of interest R = 5% per annum.

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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19 3730
Q:

A man wills 40% of his wealth to his wife and rest to his children. What percent of the wealth willed to the wife do the children get?

A) 150 B) 66.6
C) 50 D) 20
 
Answer & Explanation Answer: A) 150

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

2 3730
Q:

The bankers discount and true discount on a sum of money due 8 months hence are Rs.120 & Rs.110 resp. Find the sum.

A) 1457 B) 1320
C) 1140 D) 1260
 
Answer & Explanation Answer: B) 1320

Explanation:

Sum = (B.D * T.D) / (B.D) -(T.D)

= (120 * 110) / (120 -110)

= 1320

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Filed Under: Banker's Discount

2 3726
Q:

Assume that money can be invested at 8% compounded quarterly,which is larger,$2500 now or $3800 in 5 years?

A) 1557.29 B) 2557.29
C) 2567 D) 2457
 
Answer & Explanation Answer: B) 2557.29

Explanation:

First find the present value of $3800,then compare present values:

 

M  = p(1+i/4)^4n

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

2 3724
Q:

The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is:

A) 21 yrs B) 27 yrs
C) 29 yrs D) 31 yrs
 
Answer & Explanation Answer: A) 21 yrs

Explanation:

Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years

Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years

Age of husband = 81 - 60 = 21 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 3720
Q:

Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?

A) 3300 B) 2700
C) 3000 D) 4200
 
Answer & Explanation Answer: C) 3000

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

6 3718
Q:

Find the compound interest on Rs. 2680 at 8% per annum for 2 years ?

A) Rs. 664.21 B) Rs. 548.68
C) Rs. 445.95 D) Rs. 692.57
 
Answer & Explanation Answer: C) Rs. 445.95

Explanation:

We know Compound Interest = C.I. = P1+r100t - 1

Here P = 2680, r = 8 and t = 2

C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225

= (2680 x 52 x 2)/625

= 445.95

 

Compound Interest = Rs. 445.95

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Filed Under: Compound Interest
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12 3711
Q:

If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

A) a/b = c/d B) a/d = c/b
C) a/b = d/c D) none
 
Answer & Explanation Answer: A) a/b = c/d

Explanation:

(4a+7b)(4c-7d) = (4a-7b)(4c+7d)

(4a+7b)/(4a-7b) = (4c+7d)/(4c-7d)

Using componendo and dividendo

(4a+7b)+(4a-7b) / (4a+7b)-(4a-7b)

= (4c+7d)+(4c-7d) / (4c+7d)-(4c-7d)

Or 8a/14b = 8c/14d

Or a/b = c/d

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Filed Under: Simplification
Exam Prep: Bank Exams

3 3709