Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a person repaid Rs. 22500 after 10 years of borrowing a loan, at 10% per annum simple interest find out what amount did he take as a loan?

A) 11,225 B) 11,250
C) 10,000 D) 7,500
 
Answer & Explanation Answer: B) 11,250

Explanation:

SI = PTR/100

SI = PX100/100

SI = P

So, Amount=P+SI=2P→22500 = 2P→P = 11250

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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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
Exam Prep: AIEEE , Bank Exams , CAT
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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

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Q:

The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

A) 14 B) 22
C) 28 D) 36
 
Answer & Explanation Answer: D) 36

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

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Q:

Giving two successive discounts of 25% is equal to giving one discount of ________%.

A) 43.75 B) 56.25
C) 50 D) 45
 
Answer & Explanation Answer: A) 43.75

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15 B) 3
C) 9 D) 6
 
Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

 

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Find the compound amount if $2900 is deposited at 5% interest for 10 years if interest is compounded daily

A) 4781.13 B) 5781
C) 3456 D) 4567
 
Answer & Explanation Answer: A) 4781.13

Explanation:

M=P(1+i/365)^365n

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Q:

A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

A) Rs. 1400 B) Rs. 900
C) Rs. 1600 D) Rs. 1200
 
Answer & Explanation Answer: A) Rs. 1400

Explanation:

Money lent at 9% = x
Money lent at 7% = (2600 – x)
⇒ 9x/100 + (2600 – x) X 7 /100 = 206
⇒ 9x + 18200 – 7x = 20600
⇒ 2x = 2400
⇒ x = 1200
Money lent at 7% = 2600-1200 = 1400

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Filed Under: Percentage
Exam Prep: Bank Exams

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