CAT Questions

Q:

The water molecule has a dipole with the negative portion

A) localized on one of the hydrogens B) localized between the hydrogen atoms
C) pointing toward the oxygen atom D) pointing from the oxygen through the hydrogen atoms
 
Answer & Explanation Answer: C) pointing toward the oxygen atom

Explanation:

The water molecule has a dipole with the negative portion pointing toward the oxygen atom.

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Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?

A) 550 B) 575
C) 625 D) 700
 
Answer & Explanation Answer: D) 700

Explanation:

Let number of boys = B

Number of girls = G

From the given data,

1B/3 + 1G/2 = 300

But given B/3 = 100

=> B = 300

G/2 = 300 - 100

G = 200 x 2

=> G = 400

Therefore, total number of students in the college = B + G = 700.

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Q:

Two trains cross each other in _____ time ? 

17499494_1251651558275279_9192886760450524065_n1500008429.png image

A) 145 sec B) 124 sec
C) 158 sec D) 162 sec
 
Answer & Explanation Answer: D) 162 sec

Explanation:

Given two trains of length = 180 mts + 180 mts 

The distance is = Length of trains = 360 mts 

Speed = 58 - 50 = 8 kmph x 5/18 m/s

Then, Time = dis/speed = (360x18) / (8x5) = 162 sec.

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Q:

Tone, volume and pace are part of

A) Body language B) Spoken language
C) Sign language D) Written language
 
Answer & Explanation Answer: B) Spoken language

Explanation:

Tone, volume and pace are part of Spoken language.

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Q:

Which is a pair of allotropes?

A) carbon-16 and carbon-12 B) diamond and graphite
C) carbon dioxide and graphite D) diamond and carbon dioxide
 
Answer & Explanation Answer: B) diamond and graphite

Explanation:

Allotropes are the different physical forms of an element. Here in the given options, diamond and graphite are the pair of allotropes of carbon.

 

Some more examples are Molecular oxygen and ozone are pair of allotropes, Black and red phosphorous are also pairs of allotropes.

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Q:

Find the lowest common multiple of 24, 36 and 40?

A) 360 B) 420
C) 240 D) 120
 
Answer & Explanation Answer: A) 360

Explanation:

To find the LCM of 24, 36 and 40

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

40 = 2 x 2 x 2 x 5 

Now, LCM of 24, 36 and 40 = 2 x 2 x 2 x 3 x 3 x 5

= 8 x 9 x 5

= 72 x 5

= 360

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Q:

A fixture is defined as a device which

A) is used to check the accuracy of workpiece B) holds and locates a workpiece and guides and controls one or more cutting tools
C) holds and locates a workpiece during an inspection or for a manufacturing operation D) All of the above
 
Answer & Explanation Answer: B) holds and locates a workpiece and guides and controls one or more cutting tools

Explanation:

A_fixture_is_defined_as_a_device_which1551357222.jpg image

A fixture is defined as a device which holds and locates a workpiece and guides and controls one or more cutting tools.

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Q:

Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ?

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

These two events cannot be disjoint because P(K) + P(L) > 1.


P(AꓴB) = P(A) + P(B) - P(AꓵB).


An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4


And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

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Subject: Probability
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