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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?

A) 112420 B) 85120
C) 40320 D) 1209600
 
Answer & Explanation Answer: D) 1209600

Explanation:

Given word is TRANSFORMER.

Number of letters in the given word = 11 (3 R's)

 

Required, number of ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together is

10! x 2!/3!

= 3628800 x 2/6

= 1209600

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

The HCF of two numbers is 11 and their LCM is 330. If one of the number is 55. Find the other number.

A) 33 B) 66
C) 44 D) 77
 
Answer & Explanation Answer: B) 66

Explanation:
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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

Sairam spent Rs. 38460 on the renovation of his home and Rs. 24468 on buying TV set and remained with 28% of the total amount. What was the total amount?

A) Rs. 87400 B) Rs. 68700
C) Rs. 74000 D) Rs. 94060
 
Answer & Explanation Answer: A) Rs. 87400

Explanation:

Let the total amount he had with = Rs. p

From the given data,

p - 38460 - 24468 = 28p/100

p - 28p/100 = 24468 + 38460

72p/100 = 62928

72p = 62928 x 100

p = 62928 x 100/72

p = 87400

 

Hence, the total amount he had = p = Rs. 87400.

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Filed Under: Percentage
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Q:

If 3x + 2y = 7 and 4x - y = 24, then x - y = ______.

A) 9 B) 1
C) -9 D) -1
 
Answer & Explanation Answer: A) 9

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Price of petrol increased from Rs 60/liter to Rs 75/liter. How much should the consumption of petrol be reduced (in %) so as to increase expenditure by only 10%?

A) 12 B) 20
C) 15 D) 18
 
Answer & Explanation Answer: A) 12

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

A shopkeeper by selling 17 Omega watches, earns a profit equal to the selling price of 7 Omega watches. What is his profit percentage?

A) 41.1 percent B) 82.2 percent
C) 70 percent D) 12.2 percent
 
Answer & Explanation Answer: C) 70 percent

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

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Q:

A prime number contains the digit X at unit’s place. How many such digits of X are possible?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:
For prime no units place cannot be occupied by even number except for 2
Thus no of digits occupying unit digit of prime numbers = 6 (1,2,3,5,7,9)
Example 2,3,5,7,11,19 in itself are prime numbers
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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

A man spends in 8 months as much as he earns in 6 months. He saves Rs. 6000 in a year. His average monthly income is

A) Rs. 2400 B) Rs. 2000
C) Rs. 2150 D) Rs. 1800
 
Answer & Explanation Answer: B) Rs. 2000

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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