Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (√2/3 - cosec60)?

 

A) (√6-6)/3√3 B) (2-2√3)/√3  
C) (1-√6)/√2   D) (4-√3)/2√3
 
Answer & Explanation Answer: A) (√6-6)/3√3

Explanation:
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Q:

What is the value of (sin45 - √3) ?

 

A) (1-√6)/√2   B) (4-√3)/2√3  
C) -1/2√3   D) (2-√3)/2√3
 
Answer & Explanation Answer: A) (1-√6)/√2  

Explanation:
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Q:

Fill in the blanks

sinA = _____ x cosA

 

A) sinA B) tanA
C) cotA D) cosA
 
Answer & Explanation Answer: B) tanA

Explanation:
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Q:

Find the odd one in the given series ?

5-20-25, 10-40-50, 4-15-24, 25-100-125

A) 4-15-24 B) 5-20-25
C) 10-40-50 D) 25-100-125
 
Answer & Explanation Answer: A) 4-15-24

Explanation:

In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.

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Q:

Find the dividend if the divisor is (x+2), quotient is (4x-5) and the remainder is 12.

 

A) 4x2+5x+2 B) 4x2+3x+2
C) 4x2-3x+2 D) 4x2+3x-2
 
Answer & Explanation Answer: B) 4x2+3x+2

Explanation:
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Q:

9 17 11 19 13

What Are The Next Three Numbers In The Given Number Series?

A) 17, 10, 18 B) 19, 14, 23
C) 21, 15, 23 D) 19, 13, 22
 
Answer & Explanation Answer: C) 21, 15, 23

Explanation:

Given number series is 9 17 11 19 13 

Here the pattern is

      • 9
      • 9 + 8 = 17
      • 17 - 6 = 11
      • 11 + 8 = 19
      • 19 - 6 = 13
      • 13 + 8 = 21
      • 21 - 6 = 15
      • 15 + 8 = 23
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Q:

Of the following, which is greater than ½ ?

Indicate ALL such fractions.

A) 2/5 B) 4/7
C) 4/9 D) 5/11
 
Answer & Explanation Answer: B) 4/7

Explanation:

One way to deal with fractions is to convert them all to decimals. 

In this case all you would need to do is to see which is greater than 0.5.

Otherwise to see which is greater than ½, double the numerator and see if the result is greater than the denominator. In B doubling the numerator gives us 8, which is bigger than 7. 

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Q:

In the below word how many words are there in which R and W are at the end positions?

RAINBOW

A) 120 B) 180
C) 210 D) 240
 
Answer & Explanation Answer: D) 240

Explanation:

When R and W are the first and last letters of all the words then we can arrange them in 5!ways. Similarly When W and R are the first and last letters of the words then the remaining letters can be arrange in 5! ways.

Thus the total number of permutations = 2 x 5!  = 2 x 120 = 240

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