Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5 B) 11.5
C) 12.5 D) 13.5
 
Answer & Explanation Answer: B) 11.5

Explanation:

Middle numbers  =  [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

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103 60828
Q:

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

I. (65)1/6 > (17)1/4 > (12)1/3  II. (17)1/4 > (65)1/6 > (12)1/3   III. (12)1/3 > (17)1/4 > (65)1/6

A) Only I B) Only III
C) Only II D) None of these
 
Answer & Explanation Answer: B) Only III

Explanation:
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Q:

What approximate value will come in place of the question mark(?) in the below question?

(47% of 1442  - 36% of 1412) + 63 = ?

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

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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7 60336
Q:

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is :

A) 35 B) 36.5
C) 40 D) 42
 
Answer & Explanation Answer: B) 36.5

Explanation:

Correct Sum = (36 * 50 + 48 - 23) = 1825.

Correct mean = = 1825/50 = 36.5

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183 60326
Q:

Find the Odd One Out of the following Number Series?

3, 14, 36, 67, 113, 168

A) 14 B) 36
C) 67 D) 113
 
Answer & Explanation Answer: C) 67

Explanation:

Here the given number series is 3, 14, 36, 67, 113, 168

It follows a pattern that

3

3 + 1 x 11 = 3 + 11 = 14

14 + 2 x 11 = 14 + 22 = 36

36 + 3 x 11 = 36 + 33 = 69

69 + 4 x 11 = 69 + 44 = 113

113 + 5 x 11 = 113 + 55 = 168

 

Hence, the wrong number is 67.

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6 60251
Q:

Find x.

693.5 - (47.23 - x) - 82.48 = 8.172.

A) -720.578 B) -555.618
C) -650.078 D) 831.382
 
Answer & Explanation Answer: B) -555.618

Explanation:
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Q:

What is the positive square root of [25 + 4√39]?

 

A) √13 + 2√3   B) √13 + 3√2  
C) √11 + 2√3 D) 11 + 3√2  
 
Answer & Explanation Answer: A) √13 + 2√3  

Explanation:
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