CAT Questions

Q:

Three of the following four are alike in certain way and hence form a group. Which one of the following does not belong to that group ?

A) BHF B) LDJ
C) OKG D) ZTY
 
Answer & Explanation Answer: C) OKG

Explanation:

OKG
Remaining all are not in series
only OKG is in series of(15,11,7)

Here it follows the random difference of '4'.

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Filed Under: Alphabet Test
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12 6905
Q:

The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

A) 42.2 mts B) 33.45 mts
C) 66.6 mts D) 58.78 mts
 
Answer & Explanation Answer: C) 66.6 mts

Explanation:

ht1488353450.jpg image

From above diagram
AC represents the hill and DE represents the tower

Given that AC = 100 m

angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)

Let DE = h

Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE

tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1)

tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)
∵ BD = CE and Substitute the value of CE from equation 1
100/√3 = 100−h(√3) => h = 66.66 mts

The height of the tower = 66.66 mts.

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Filed Under: Height and Distance
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17 6903
Q:

One reason the skeletal system is important is because

A) the skeletal system creates the connective tissue and tendons that allow the body to move B) the skeletal system is responsible for controlling functions of the entire body
C) without the skeletal system, an individual would not have enough calcium to live D) the skeletal system is solely responsible for housing the body's immune system
 
Answer & Explanation Answer: A) the skeletal system creates the connective tissue and tendons that allow the body to move

Explanation:

One reason the skeletal system is important is because the skeletal system creates the connective tissue and tendons that allow the body to move.

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Filed Under: Biology
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6 6902
Q:

Solve this number puzzle?

Number_puzzle_41538031779.jpg image

A) 111 B) 121
C) 1111 D) 0
 
Answer & Explanation Answer: B) 121

Explanation:

Given 

1 = 1 => 1 x 11 = 11

2 = 22 => 2 x 11 = 22

3 = 33 => 3 x 11 = 33

...

...

Similarly,

11 => 11 x 11 = 121.

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16 6901
Q:

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

A) 1564 B) 1600
C) 1632 D) 1714
 
Answer & Explanation Answer: B) 1600

Explanation:

Let O's share = Rs. P

=> N's share = 75100 x P = 3P4

M's share = 54 x 3P4 = 15P16

15P16 + 3P4 + P = 4300=> P = 4300 x 1643 = 1600 

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Filed Under: Partnership
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14 6894
Q:

When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ?

A) sister B) daughter-in-law
C) sister-in-law D) cousin
 
Answer & Explanation Answer: C) sister-in-law

Explanation:

Ankit's daughter's mother---Ankit's wife; Ankit's wife's father---Ankit's father-in-law;
Father-in-law's daughter--- Ankit's sister-in-law. So, Sanvi is sister-in-law of Ankit.

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Filed Under: Blood Relations
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6 6891
Q:

A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train  ?

A) 240 mts B) 270 mts
C) 260 mts D) 250 mts
 
Answer & Explanation Answer: A) 240 mts

Explanation:

Relative speed = 120 + 80 = 200 km/hr.
= 200 x 5/18 = 500/9 m/sec.

Let the length of the other train be L mts.
Then, (L + 260)/9 = 500/9 => L = 240 mts.

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Filed Under: Problems on Trains
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3 6890
Q:

'BE' is related to 'GJ' in the same way as 'PS' is related to ?

A) VX B) TU
C) UX D) TV
 
Answer & Explanation Answer: C) UX

Explanation:

Each corresponding letter moves five places forward in the alphabet.
Here as BE is related to GJ then PS will relate to UX.

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Filed Under: Alphabet Test
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11 6887