Quantitative Aptitude - Arithmetic Ability Questions

Q:

The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is

A) 60 B) 55
C) 45 D) 40
 
Answer & Explanation Answer: A) 60

Explanation:

From the given data,

let the length, breadth and height of the cuboid are m, n, r

m x n = 12

n x r = 20

r x m = 15

 

Hence, m x n x n x r x r x m = 12 x 20 x 15

mnr = sqrt of (12x20x15) = 60 cub.cm.

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Filed Under: Volume and Surface Area
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Q:

Arun took a loan of Rs. 29000 with simple interest for as many years as the rate of interest. If he paid Rs. 10440 as interest at the end of the loan period, what was the rate of interest?

A) 5.5% B) 6%
C) 6.5% D) 7%
 
Answer & Explanation Answer: B) 6%

Explanation:

Principle amount = Rs. 29000

Interest = Rs. 10440

Let rate of interest = r%

=> So, time = r years

According to the question,

10440 = 29000 x r x r/100

290 x r x r = 10440

r x r = 1044/29 = 36

r = 6

 

Hence, the rate of interest = 6% and time = 6 yrs.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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14 2133
Q:

The sum of the present ages of a father and his son is 70 years. Five years ago, father's age was 5 times the age of the son, so now the son's age will be?

A) 12 B) 14
C) 15 D) 19
 
Answer & Explanation Answer: C) 15

Explanation:

                                                               Father           Son

 

5years ago the age of the father & son           5X                X

 

present the age of the father & son              5X+5             X+5

 

(present age of father) + (present age of son) = 70

 

       (5x+5)                 +        (x+5)              = 70

 

 Then you will get X = 10

 

Present age of the son (x+5) = 15

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Filed Under: Problems on Ages
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7 2132
Q:

A train left from station A for station B at 4 pm at an average speed of 80 kmph. At 8 pm, another train also had left from station A for station B on a parallel track at an average speed of 120 kmph. How far from A is another train expected to overtake the first train?

A) 900km B) 940km
C) 960km D) 980km
 
Answer & Explanation Answer: C) 960km

Explanation:

Ans. 
Distance covered by 1st train in 4 hours = 80*4 = 320 km
Relative speed of 2nd train = 120-80 = 40 km
It will overtake another train in 320/40 = 8 hours
Distance between overtake point and station A = 8*120 = 960 km

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Filed Under: Problems on Trains
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1 2131
Q:

If 60% of total articles are sold at a loss of 50% and remaining articles are sold at a profit of 50%, then what will be the overall loss percentage?

A) 20 B) 15
C) 25 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?

A) 16 B) 30
C) 28.125 D) 27.5
 
Answer & Explanation Answer: A) 16

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

A) 32√3 B) 24[(√3) – 1]
C) 48[(√3) – 1] D) 16[3 – (√3)]
 
Answer & Explanation Answer: D) 16[3 – (√3)]

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 2124
Q:

Working together A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days respectively if they worked alone. In how many days can C do the task if he worked alone?

A) 22 B) 44
C) 20 D) 40
 
Answer & Explanation Answer: C) 20

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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