Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (1/√3 - sin45)?

 

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

Explanation:
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0 56074
Q:

Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?

 

A) 2 B) 4 sin θ 
C) 4 cos θ  D) 4 tan θ
 
Answer & Explanation Answer: B) 4 sin θ 

Explanation:
We know that,
Arithmetic mean ≥ Geometric mean
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6 56060
Q:

Consider the figure shown below and choose the correct option for the length of MN.

 

A) d2-r1-r22 B) d2+r1-r22
C) d2-r1-r22 D) d+r1-r22
 
Answer & Explanation Answer: A) d2-r1-r22

Explanation:
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0 55731
Q:

133of 166of133of166 of 10000 of a number will be what percentage of that number?

 

A)  2.32 B)  1.32
C)  0.232 D) 0.0232
 
Answer & Explanation Answer: A)  2.32

Explanation:
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Filed Under: Percentage
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17 55724
Q:

Directions: What value should come in place of question mark (?) in the following question?

69÷3×0.85+24.5-13.8=?

A) 31.75  B) 30.25 
C) 28.95  D) 35.25 
 
Answer & Explanation Answer: B) 30.25 

Explanation:

= (69x85/3x100) + 10.7

= 30.25.

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0 55530
Q:

The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: A) 12

Explanation:

(A+B) - (B+C) = 12

 

A - C = 12.

 

C is younger than A by 12 years.

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295 55358
Q:

The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is 

A) 12 B) 16
C) 24 D) 48
 
Answer & Explanation Answer: D) 48

Explanation:

Let the numbers be  3x and 4x . Then their H.C.F = x. So, x=4

 Therefore, The numbers are 12 and 16

 L.C.M of 12 and 16 = 48

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Filed Under: HCF and LCM

126 55268
Q:

Which two months in a year have the same calendar?

A) October, December B) April, November
C) June, October D) April, July
 
Answer & Explanation Answer: D) April, July

Explanation:

If the period between the two months is divisible by 7, then that two months will have the same calender .

 
(a). Oct + Nov  = 31 + 30 = 61 (not divisible by 7)

(b). Apr + May + Jun + Jul + Aug + Sep + Oct = 30 + 31 + 30 + 31 + 31 + 30 + 31  = 214 (not divisible by 7)

(c). Jun + July + Aug + Sep = 30 + 31 + 31 + 30 = 122 (not divisible by 7)

(d). Apr + May + June = 30 + 31 + 30 = 91 (divisible by 7)

 

Hence, April and July months will have the same calendar.

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Filed Under: Calendar
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