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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ?

A) 4 : 5 B) 5 : 4
C) 7 : 6 D) 6 : 7
 
Answer & Explanation Answer: A) 4 : 5

Explanation:

Let x be the investment of Lasya in 5% and y be in 4%

x(5)(n)/100 = y(4)(n)/100

=> x/y = 4/5

x : y = 4 : 5

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Filed Under: Simple Interest
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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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Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ?

A) 7 B) 23
C) 9 D) 21
 
Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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Filed Under: Problems on Numbers
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11 3863
Q:

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

A) Rs. 3680 B) Rs. 2650
C) Rs. 1400 D) Rs. 1170
 
Answer & Explanation Answer: C) Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by C.In - S.In = PR100n

Here n = 2 years, R = 20%, C.I - S.I = 56

56 = P201002=> P = 56 x 52=> P = 56 x 25=> P = Rs. 1400

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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28 3859
Q:

A train takes 10 sec to cross a bridge of length 100 m travelling at 90 kmph. Find the length of the train in meters.

A) 130 B) 120
C) 140 D) 150
 
Answer & Explanation Answer: D) 150

Explanation:
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Filed Under: Problems on Trains
Exam Prep: Bank Exams

12 3857
Q:

A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after withdrawing his investment. In the first year the business made a profit of Rs 49,000. What is B's share (in Rs) of this profit?

A) 25000 B) 20000
C) 18000 D) 22000
 
Answer & Explanation Answer: A) 25000

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

3 3842
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

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Q:

Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years?

I. The rate of interest is 5 p.c.p.a.

II. Simple interest fetched on the same amount in one year is Rs. 600.

III. The amount borrowed is 10 times the simple interest in 2 years.

A) I only B) III only
C) I or II only D) .II and Either I or III only
 
Answer & Explanation Answer: D) .II and Either I or III only

Explanation:

 

 

I. gives, Rate = 5% p.a.

 

II. gives, S.I. for 1 year = Rs. 600.

 

III. gives, sum = 10 x (S.I. for 2 years).

 

Now I, and II give the sum.

 

For this sum, C.I. and hence amount can be obtained.

 

Thus, III is redundant.

 

Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200.

 

Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000.

 

Thus, Rate =

 

100 x 1200

 

= 5% p.a.

 

2 x 12000

 

Thus, C.I. for 2 years and therefore, amount can be obtained.

 

Thus, I is redundant.

 

Hence, I or III redundant.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

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