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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Odd man out of the series

90 72 56 42 36 20

A) 20 B) 36
C) 42 D) 56
 
Answer & Explanation Answer: B) 36

Explanation:

The given number series is 90 72 56 42 36 20

9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 42

5 x 6 = 30 (not 36) 

4 x 5 = 20

 

Hence, the odd man in the given number series is 36.

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Q:

If x = 4 + √15, then what is the value of [x2 + (1/x2)]?

 

A) 62 B) 64
C) 34 D) 36
 
Answer & Explanation Answer: A) 62

Explanation:
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0 57467
Q:

Which of the following statement (s) is/are TRUE?

I. 4√3 > 3√4

II. 8√2 > 2√8

A) Only I B) Only II
C) Neither I nor I D) Both I and I
 
Answer & Explanation Answer: D) Both I and I

Explanation:
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0 57391
Q:

If p = 72-72-72-72-.....∞, then find the value of 2p2+1?

 

A) -129 B) -163
C) 129 D) 163
 
Answer & Explanation Answer: C) 129

Explanation:
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1 57307
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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0 57266
Q:

Solve the following

 

24 / (20 - 12 / 3 x 8) = ?

A) -2 B) -3
C) 6 D) 3
 
Answer & Explanation Answer: A) -2

Explanation:
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0 57089
Q:

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?

A) 36 Kg B) 42 Kg
C) 54 Kg D) 63 Kg
 
Answer & Explanation Answer: D) 63 Kg

Explanation:

By the rule of alligation:


C.P. of 1 kg sugar of 1st kind      C.P. of 1 kg sugar of 2nd kind 

 

  

 

Therefore, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. 

Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind. 

Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.

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Filed Under: Alligation or Mixture

147 57053
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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