GATE Questions

Q:

The third proportional to 9 and 12 is ?

A) 14 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: B) 16

Explanation:

Let the third proportion to 9 & 12 be 'x'.

=> 9:12 = 12 :p

=> p = 12x12/9 = 16.

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Filed Under: Ratios and Proportions
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168 39553
Q:

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days  ?

A) 6 B) 9
C) 5 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

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Filed Under: Time and Work
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92 39368
Q:

Find the odd man out of the following number sequence?

3, 5, 13, 43, 167

A) 167 B) 43
C) 13 D) 5
 
Answer & Explanation Answer: A) 167

Explanation:

The given number series is 3, 5, 13, 43, 167

3

3 x 1 + 2 = 5

5 x 2 + 3 = 13

13 x 3 + 4 = 43

43 x 4 + 5 = 177 (not equal to 167)

 

Hence, the odd number in the given number sequence is 167. 

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Filed Under: Odd Man Out
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3 39307
Q:

What is the first term of an arithmetic progression of positive integers ?

(I) Sum of the squares of the first and the second term is 116.

(II)The fifth term is divisible by 7.

A) Only a is sufficient B) Only b is sufficient
C) Both a & b are necessary D) None
 
Answer & Explanation Answer: A) Only a is sufficient

Explanation:

The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116
again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st term
so the 1st term is 4,
but from the 2nd we cant able to find the 1st term

so only 1st statement is sufficient to answer the question

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Filed Under: Statement and Conclusions
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2 39293
Q:

Find the odd man out?

16, 254, 1296, 4096, 10000

A) 16 B) 254
C) 1296 D) 10000
 
Answer & Explanation Answer: B) 254

Explanation:

The given series 16, 254, 1296, 4096, 10000 follows a pattern that

 

24, 44, 64, 84, 104,...

Hence, the odd man in the series is 4 x 4 x 4 x 4 = 256 not 254.

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3 39146
Q:

8, 15, 28, 53, ?, 199

A) 101 B) 102
C) 103 D) 104
 
Answer & Explanation Answer: B) 102

Explanation:

Here the series of the form is x2 - 1, x2 - 2, x2 - 3,...

 53 x 2 - 4 = 106 - 4 = 102

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Filed Under: Number Series
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325 39044
Q:

Direction: What will come in place of the question mark (?) in the following question?

504÷42x7-63+28 = ?

A) 72 B) 48
C) 62 D) 38
 
Answer & Explanation Answer:

Explanation:

504/42 × 7 - 63 + 28 = 84 – 63 + 28 = 49

Hence option 5 is correct.

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Filed Under: Simplification
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0 38988
Q:

Find the Next Number in the given number series?

3, 10.5, 36.75, 128.625, ?

A) 450.187 B) 442.151
C) 441.231 D) 456.852
 
Answer & Explanation Answer: A) 450.187

Explanation:

Pattern is

      • 3
      • 3 x 3.5 = 10.5
      • 10.5 x 3.5 = 36.75
      • 36.75 x 3.5 = 128.625
      • 128.625 x 3.5 = 450.187
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Filed Under: Odd Man Out
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9 38868