CAT Questions

Q:

Find the odd man out from the given series?

8, 18, 56, 232, 1165 

A) 18 B) 56
C) 232 D) 1165
 
Answer & Explanation Answer: B) 56

Explanation:

The given number series 8, 18, 56, 232, 1165 

8

8 x 2 + 2 = 18

18 x 3 + 3 = 57 (not 56)

57 x 4 + 4 = 232

232 x 5 + 5 = 1165

 

Hence, the odd man in the given series is 56.

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2 39687
Q:

Find the next number in the sequence?

28, 16, 28, 76, 274

A) 1233 B) 1243
C) 1256 D) 1276
 
Answer & Explanation Answer: B) 1243

Explanation:

Given number sequence is 28, 16, 28, 76, 274

Here the sequence follows a pattern that

28

28 x 0.5 + 2 = 14 + 2 = 16

16 x 1.5 + 4 = 24 + 4 = 28

28 x 2.5 + 6 = 70 + 6 = 76

76 x 3.5 + 8 = 266 + 8 = 274

274 x 4.5 + 10 = 1233 + 10 = 1243

 

Hence, the next number in the given number sequence is 1243.

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1 39676
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 39647
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 39497
Q:

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

41% of 600 - 250 = ? - 77% of 900

A) 889 B) 589
C) 789 D) 689
 
Answer & Explanation Answer: D) 689

Explanation:

41% of 600 - 250 = ? - 77% of 900

⇒ 246 - 250 = ? - 693

⇒ 246 -250 + 693 = ?

⇒ ? = 689

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Filed Under: Simplification
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2 39443
Q:

Select the option that can replace the '?' symbol in the following equation.

 

122 + 345 - 1 x 1011 ÷ 337 = ?

 

A) 446 B) 644
C) 460 D) 464
 
Answer & Explanation Answer: D) 464

Explanation:
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0 39407
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 39165
Q:

FInd the odd man out of the given series of numbers?

120, 36, 6, 2, 1, 1

A) 120 B) 36
C) 6 D) 2
 
Answer & Explanation Answer: B) 36

Explanation:

The given number series is 120, 36, 6, 2, 1, 1

120

120/5 = 24 (not 36)

24/4 = 6

6/3 = 2

2/2 = 1

1/1 = 1

 

Hence, the odd man in the given number series is 24.

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1 39117