Quantitative Aptitude - Arithmetic Ability Questions

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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3 4032
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 4027
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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0 4026
Q:

If the true discount on a certain sum due 6 months hence at 15% is Rs 120.What is the bankers discount on the same for same time and the same rate.

A) Rs.109 B) Rs.119
C) Rs.129 D) Rs.139
 
Answer & Explanation Answer: C) Rs.129

Explanation:

B.G = S.I On T.D

      = Rs. (120 * 15 * 1/2 * 1/100)

      = Rs.9

B.D - T.D = Rs.9

B.D = Rs.(120 +9) = Rs.129

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Filed Under: Banker's Discount

1 4025
Q:

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

A) 1 B) 1/2
C) 3/4 D) 1/3
 
Answer & Explanation Answer: B) 1/2

Explanation:

P(heart cards)=13/52

P(diamond cards)=13/52

P(heart or diamond)=13/52+13/52=1/2

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Filed Under: Probability

2 4019
Q:

The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ?

A) 28 B) 19
C) 37 D) 17
 
Answer & Explanation Answer: D) 17

Explanation:

Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 8 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 1 and Q = 7
The required number is = 17

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Filed Under: Problems on Numbers
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1 4017
Q:

In how many different ways can the letters of the word 'POVERTY' be arranged ?

A) 2520 B) 5040
C) 1260 D) None
 
Answer & Explanation Answer: B) 5040

Explanation:

The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.

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Filed Under: Permutations and Combinations
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13 4003
Q:

In a city of engineers of 4800, the number of female engineers are 3/8th of them. The number of female engineers is what percentage of the number of male engineers?

A) 76 B) 60
C) 56 D) 52
 
Answer & Explanation Answer: B) 60

Explanation:

Total engineers = 4800

Number of female engineers = 3/8 x 4800 = 1800

Then, number of male engineers = 4800 - 1800 = 3000

Now, required is female engineers is what percentage of the number of male engineers

=> 1800 is what % of 3000

=> p x 3000/100 = 1800

=> 30p = 1800

p = 60%

 

Hence, female engineers is 60 percentage of the number of male engineers.

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Filed Under: Percentage
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6 4001