CAT Questions

Q:

Find the odd man out?

3, 12, 39, 120, 364

A) 364 B) 120
C) 39 D) 3
 
Answer & Explanation Answer: A) 364

Explanation:

The given number series is 3, 12, 39, 120, 364

33 + 32 = 3 + 9 = 1212 + 33 = 12 + 27 = 3939 + 34 = 39 + 81 = 120120 + 35 = 120 + 243 = 363 (Not 364)

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Filed Under: Odd Man Out
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7 21956
Q:

What is to be replaced in place of '?' in the following series ?

 A2BC, ?, ABC4, A5BC

A) A3BC

B) ABC3

C) AB3C

D) A2B3C4

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: C) Option C

Explanation:

Because the letters are the same, concentrate on the number series, which is a simple 2, 3, 4, 5, 6 series, and follows each letter in order.

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Filed Under: Number Series
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6 21949
Q:

Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?
I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.

A) I only B) II only
C) I, II, and III D) None of the statements is a fact.
 
Answer & Explanation Answer: D) None of the statements is a fact.

Explanation:

All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III—but it doesn’t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.

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Filed Under: Statement and Conclusions
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4 21884
Q:

Tennis is to Sport as Chemistry is to

A) Biology B) Physics
C) Science D) Subject
 
Answer & Explanation Answer: C) Science

Explanation:

As Tennis is a kind of Sport, similarly, Chemistry is a kind of science.

 

Hence, Tennis : Sport :: Chemistry : Science.

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Filed Under: Analogy
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13 21878
Q:

The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class ?

A) 1:3 B) 2:3
C) 3:2 D) 3:1
 
Answer & Explanation Answer: B) 2:3

Explanation:

Let number of boys = x  , Let number of girls = y
Total numbers of students = x + y
(x + y) × 15.8 = 16.4x + 15.4y
0.6x = 0.4y
x/y = 0.4/0.6 = 2/3

 

 Ratio of boys and girls in the class is 2:3

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Filed Under: Problems on Ages
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35 21849
Q:

Man : Biography :: Nation : ?

A) History B) Leader
C) Story D) Nationalism
 
Answer & Explanation Answer: A) History

Explanation:

Detailed description of a man's life is Biography.

Similarly, detailed description of a Nations is called History.

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Filed Under: Analogy
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43 21833
Q:

A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ?

A) Rs. 1800 B) Rs. 2000
C) Rs. 1400 D) Rs. 1250
 
Answer & Explanation Answer: D) Rs. 1250

Explanation:

2500 in 5th year and 3000 in 7th year
So in between 2 years Rs. 500 is increased => for a year 500/2 = 250
So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250
Hence, the initial amount must be 2500 - 1250 = Rs. 1250

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Filed Under: Simple Interest
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16 21829
Q:

Which of the Following is an Amorphous solid?

A) Quartz Glass(Sio2) B) Chrome Alum
C) Silicon Carbide(SiC) D) Graphite
 
Answer & Explanation Answer: A) Quartz Glass(Sio2)

Explanation:

An amorphous or non-crystalline solid is a solid that lacks the long-range order that is characteristic of a crystal. In Brief, An amorphous solid is any noncrystalline solid in which the atoms and molecules are not organized in a definite lattice pattern. Such solids include glass, plastic, and gel.

Quartz glass (SiO2) is an amorphous solid due to its short range order of constituent particles. Note Quartz is a crystalline solid while quartz glass is an amorphous solid.

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Filed Under: Chemistry
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52 21818