CAT Questions

Q:

P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?

A) 3 km/hr B) 4 km/hr
C) 5 km/hr D) 6 km/hr
 
Answer & Explanation Answer: B) 4 km/hr

Explanation:

Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.

 

So, 24/x + 24/(7 - x) = 14

 

x2 - 98x + 168 = 0

 

(x - 3)(x - 4) = 0 => x = 3 or 4.

 

Since, P is faster than Q,

 

so P's speed = 4 km/hr and Q's speed = 3 km/hr.

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Filed Under: Time and Distance
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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16 15978
Q:

Q's mother is sister of P and daughter of M. S is daughter of P and sister of T.How is M related to T?

A) Father B) Grandfather
C) Grandmother D) Either Grandmother or Grandfather
 
Answer & Explanation Answer: D) Either Grandmother or Grandfather

Explanation:

Q's mother is sister of P &  daughter of M.[sex of P and M are not clear]

 

S is daughter of P and sister of T.  [sex of P and T is not clear]

 

M's children : Q's mother and P

 

P's children  :S[female] and T

 

M is either Grandmother or Grandfather of T

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Filed Under: Blood Relations
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98 15972
Q:

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

A) 105 B) 7! x 6!
C) 7!/5! D) 420
 
Answer & Explanation Answer: A) 105

Explanation:

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room, 

 Then, 7C1 x 6C2 x 4C

= 7 x 15 x 1 = 105

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Filed Under: Permutations and Combinations
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14 15961
Q:

A number X is mistakenly divided by 10 instead of being multiplied by 10. What is the percentage error in the result?

A) -99% B) +99%
C) -100% D) +100%
 
Answer & Explanation Answer: A) -99%

Explanation:

By mistake = x/10 

 

Actual value = x * 10 

 

% Change = 10x-x1010x×100 = 99100×100  = 99% (negative)

 

Since actual value is greater than the wrong value.

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Filed Under: Percentage
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15 15934
Q:

Study the following information and answer the given question:

Point A is 10m to the south of B.Point G is 3 m to the east of A. Point H is 5 m to the south of G. Point D is 6 m to the west of H. Point C is 10 m to the north of D. Point K is 6 m to the east of C. Point L is 5 m to the north of K.

How far and in which direction is point B from point L?

A)

5 metres south

B)

4 metres east

C)

6 metres north

D)

3 metres west

 
Answer & Explanation Answer: D)

3 metres west



Explanation:
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Filed Under: Verbal Reasoning - Mental Ability
Exam Prep: Bank Exams , CAT
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2 15912
Q:

The ratio of boys and girls in a school is 9:5.If the total number of students in the school is 1050.Then number of boys is

Answer

Let the ratio be 'R'


Total number of students = 1050


Then,


9R + 5R = 1050


14R = 1050


=> R = 75


 


Hence, the number of boys = 9R = 9 x 75 = 675

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Subject: Ratios and Proportions Exam Prep: AIEEE , Bank Exams , CAT
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69 15907
Q:

First Indian woman to participate in Olympics?

A) Karnam Malleswari B) Mary Kom
C) P.V. Sindhu D) Geeta Phogat
 
Answer & Explanation Answer: A) Karnam Malleswari

Explanation:

The first Indian woman to ever win an Olympic medal was Karnam Malleswari who won a bronze medal at the Sydney Olympics in the Women's 69 kg category in Weightlifting.

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Filed Under: General Awareness
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24 15904
Q:

Raman is performing yoga with his head down and legs up. His face is towards the west. In which direction, will his left hand be ?

A) North B) North - East
C) East D) West
 
Answer & Explanation Answer: A) North

Explanation:

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So he is facing west his left hand will be in North direction.

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Filed Under: Direction Sense Test
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89 15879