Aptitude and Reasoning 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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Filed Under: Average

103 60917
Q:

Find the missing term in the following series ?

10000, 11000, 9900, 10890, ?, 10781

A) 10423 B) 9801
C) 10241 D) 9712
 
Answer & Explanation Answer: B) 9801

Explanation:

Clearly, alternatively we add and subtract 10% of a term to obtain the next term of the series.
Thus, 10000 + (10% of 10000)= 11000;
11000 - (10% of 11000) = 9900;
 9900 + (10% of 9900)  = 10890;
10890 - (10% of 10890) = 9801.
 9801 + (10% of 9801)  = 9801+980 = 10781.
So, missing term = 10890- (10% of 10890)= 9801.

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Filed Under: Number Series
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

90 60824
Q:

Simplify the following :

4 15 × 3 13 + ? = 20% of 120

A) 10 B) 24
C) 36 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:

Given equation can be written as

215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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1 60820
Q:

What value will come in place of question mark (?) in following number series?

12, 16, 32, 68, ?

A) 198 B) 164
C) 132 D) 118
 
Answer & Explanation Answer: C) 132

Explanation:

Given series is 

 

12        16         32          68         ?

 

Here it follows a pattern that,

 

12

 

12 + (2x2) = 16

 

16 + (4x4) = 32

 

32 + (6x6) = 68

 

68 + (8x8) = 132

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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7 60704
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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Filed Under: Simplification
Exam Prep: Bank Exams

0 60701
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?


8 ÷ 2 - 50 x 6 + 16 = 50

 

A) + and ÷ B) - and +
C) + and x D) ÷ and x
 
Answer & Explanation Answer: C) + and x

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

10 60687
Q:

Some tapes are discs. Some discs are cassettes. Some cassettes are songs

Conclusions:

1. Some songs are discs

2. Some cassettes are tapes

3. Some songs are tapes

4. No song is a disc

A) Only either 1 or 4 follows B) Only either 2 or 4 follows
C) Only 3 and 4 follow D) Only 3 and either 2 or 4 follows
 
Answer & Explanation Answer: A) Only either 1 or 4 follows

Explanation:

Since each combiantion of premise contain 2 particular premises, no definite conclusion can be drawn. However, 1 and 4 involve the extreme terms of 2nd and 3rd premises and form a complementary pair. Thus either 1 or 4 follows.

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19 60408
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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Filed Under: Average

183 60374