Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (2 - tan60°) ?

 

A) -1/√3 B) (√3-4)/2√3  
C) -1/2   D) 2-√3
 
Answer & Explanation Answer: D) 2-√3

Explanation:
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Filed Under: Simplification
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Q:

In the following question, select the odd word pair from the given alternatives.

 

A) Car – Road B) Water – Ship
C) Track – Train D) Sky – Aeroplane
 
Answer & Explanation Answer: A) Car – Road

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Q:

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

A) 2m –m^2/n B) 2m –m/n
C) 2m D) 2m –m
 
Answer & Explanation Answer: A) 2m –m^2/n

Explanation:

Mean of m observations is n

Mean of n-m observations is m

So total = nm+ (n-m)m

Total observations = n

Mean = Total / Total observations = (2mn-m^2)/n = 2m –m^2/n

 

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Q:

Pipes A and B can fill a cistern in 15 hours together. But ifthese pipes operate separately A takes 40 hours less than Bto fill the tank. In how many hours the pipe A will fill thecistern working alone?

A) 60 B) 20
C) 40 D) 15
 
Answer & Explanation Answer: B) 20

Explanation:

Let A takes x hours, then B = (x+40) hours

1/x + 1/x+40 = 1/15

x = 20

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Filed Under: Pipes and Cistern

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Q:

In how many different ways can the letters of the word 'RITUAL' be arranged?

A) 720 B) 5040
C) 360 D) 180
 
Answer & Explanation Answer: A) 720

Explanation:

The number of letters in the given word RITUAL = 6

Then, 

Required number of different ways can the letters of the word 'RITUAL' be arranged = 6!

=> 6 x 5 x 4 x 3 x 2 x 1 = 720

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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11 1873
Q:

In the following question, select the odd letter/letters from the given alternatives.

 

A) TOJE B) VQLG
C) XSNI D) PKFB
 
Answer & Explanation Answer: D) PKFB

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Q:

Find the factors of (x2  +  x -  42)

 

A) (x + 14)(x - 3) B) (x + 6)(x - 7)
C) (x - 6)(x + 7) D) (x - 14)(x + 3)
 
Answer & Explanation Answer: C) (x - 6)(x + 7)

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Q:

The LCM of 16, 24, 36, 52 and 54 is?

A) 5618 B) 5216
C) 432 D) 5616
 
Answer & Explanation Answer: D) 5616

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

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