Quantitative Aptitude - Arithmetic Ability Questions

Q:

A trader sold an article at a loss of 5% but when he increased the selling price by Rs.65 he gained 3.33% on the cost price. If he sells the same article at Rs. 936, what is the profit percentage?

A) 15% B) 16.66%
C) 20% D) data insufficient
 
Answer & Explanation Answer: C) 20%

Explanation:

103.33 CP- 0.95 CP = 65

 

 CP = Rs. 780 

 

profit (%) = (936 - 780)/780  x 100 = 20%

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

126 41883
Q:

If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, find the compound interest on the same sum for the same period at the same rate.

A) 1261 B) 1271
C) 1281 D) 1291
 
Answer & Explanation Answer: A) 1261

Explanation:

Clearly, Rate = 5% p.a., Time = 3 years, S.I.= Rs. 1200. . .
So principal=RS [100*1200]/3*5=RS 8000
Amount = Rs. 8000 x [1 +5/100]^3 - = Rs. 9261.
.. C.I. = Rs. (9261 - 8000) = Rs. 1261.

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

89 41825
Q:

The average age of a husband and his wife was 23 years at the time of their marriage. After  five years they have a one-year old child. The average age of the family now is : 

A) 25 B) 23
C) 19 D) 18
 
Answer & Explanation Answer: C) 19

Explanation:

Sum of the present ages of husband, wife and child = (23 * 2 + 5 * 2) + 1 = 57 years.

Required average = (57/3) = 19 years.

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Filed Under: Average

82 41812
Q:

In a two-digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the unit's place and the ten's place are interchanged,difference between the newly formed number and the oiginal number is less than the original number by 1. What is the original number ?

A) 35 B) 36
C) 37 D) 39
 
Answer & Explanation Answer: C) 37

Explanation:

Let the ten's digit be x. Then, unit's digit = 2x + 1.

[10x + (2x + 1)] - [{10 (2x + 1) + x} - {10x + (2x + 1)}] = 1

<=> (12x + 1) - (9x + 9) = 1 <=> 3x = 9, x =  3.

So, ten's digit = 3 and unit's digit = 7. Hence, original number = 37.

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Filed Under: Problems on Numbers

56 41812
Q:

Determine the value of m for which 4x + x6 + m24 is a perfect square.

 

A) 1/24 B) 1/12
C) 12 D) 24
 
Answer & Explanation Answer: B) 1/12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 41643
Q:

A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs 360 more. Find the sum.

A) Rs.4000 B) Rs.9000
C) Rs.5000 D) Rs.6000
 
Answer & Explanation Answer: D) Rs.6000

Explanation:

Let sum = P and original rate = R. Then

[(P * (R+2) * 3)/100] - [ (P * R * 3)/100] = 360

3P*(R+2) - 3PR = 36000

3PR + 6P - 3PR = 36000

6P = 36000

P = 6000

 

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

70 41512
Q:

Simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time, If both are numerically equal.

A) Rate = 7% and Time = 7 years. B) Rate = 8% and Time = 8 years.
C) Rate = 6% and Time = 6 years. D) Rate = 5% and Time = 5 years.
 
Answer & Explanation Answer: B) Rate = 8% and Time = 8 years.

Explanation:

Let sum = X. Then S.I = 16x/25

 

Let rate = R% and Time = R years.

 

Therefore,  (x * R * R)/100 = 16x/25   =>  R = 40/5 = 8

 

Therefore, Rate = 8% and Time = 8 years.

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Filed Under: Simple Interest
Exam Prep: GRE

112 41443
Q:

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C

A) 18 m B) 20 m
C) 27 m D) 9m
 
Answer & Explanation Answer: B) 20 m

Explanation:

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Filed Under: Races and Games

35 41389