Quantitative Aptitude - Arithmetic Ability Questions

Q:

Example:Given an amount needed(future value) of $3300 in 4 years at an interest rate of 11% compounded anually,Find the present value and the amount of interest earned

A) 1126.19 B) 1237
C) 2863 D) 1892
 
Answer & Explanation Answer: A) 1126.19

Explanation:

M=P(1+i)^n

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Filed Under: Compound Interest
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Q:

If a = bx, b = cy and c = az then the value of xyz is equal to :

A) -1 B) 0
C) 1 D) abc
 
Answer & Explanation Answer: C) 1

Explanation:
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Filed Under: Logarithms

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Q:

Two boxes contain 4 and 16 balls respectively. Two balls in the first box and four in the second, are black. If a box is chosen randomly and two balls are drawn at random from it, what is the
probability that at least one ball is black if the ball is not replaced?

A) 11/20 B) 43/120
C) 77/120 D) 9/20
 
Answer & Explanation Answer: C) 77/120

Explanation:

At least one black can be chosen in two ways from each box:
Now, probability of choosing at least one black ball from first box 

= 1/2 × [ (2C1× 2C1)/4C2 + 2C2/ 4C2 ]= 5/12

Probability of choosing at least one black ball from 2nd box
= 1/2 × [(4C1×12C1)/16C2 + 4C2/ 16C2] = 9/40

Final probability

= 5/12 + 9/40 = (50 + 27)/120 = 77/120

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Q:

Two numbers are in ratio 3:4. When 3 is subtracted from both the numbers, the ratio becomes 2:3. Find the sum of the numbers.

A) 16 B) 20
C) 21 D) 22
 
Answer & Explanation Answer: C) 21

Explanation:
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Filed Under: Ratios and Proportions
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Q:

In how many ways can 4 sit at a round table for a group discussions?

A) 9 B) 3
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

Explanation:

We get this using the formula of circular permutations i.e., (4 - 1)! = 3! =6

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Q:

A man purchased a bullock and a cart for Rs 1800. He sold the bullock at a profit of 20% and the cart at a profit of 30%.His total profit was 155/6 %. Find the cost price of bullock.

A) Rs 650 B) Rs 750
C) Rs 900 D) Rs 800
 
Answer & Explanation Answer: B) Rs 750

Explanation:

CP of bullock and cart = 1800

Let price of bullock be x and cart be (1800 –x)

SP of bullock and cart = 1800 + 155/6 X 1800 = 2265

Also, 1.2x + 1.3 (1800 –x) = 2265

⇒1.2x –1.3x = -75

⇒x = 750

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Filed Under: Profit and Loss
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Q:

On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ?

A) 87 B) 59
C) 92 D) 81
 
Answer & Explanation Answer: D) 81

Explanation:

Number = 271 x 96 + 0 = 26016

=> 95) 26016 (273
           25935
           --------
              81

Required number = 81.

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Filed Under: Problems on Numbers
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Q:

It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 

A) 1/7 min B) 7/2 min
C) 5/7 min D) 7/5 min
 
Answer & Explanation Answer: B) 7/2 min

Explanation:

Time taken to fill 2/7 = 1
Then to fill full 1 = ?
? = 1/(2/7) = 7/2 minutes.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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