CAT Questions

Q:

The cricket match proved to be a big draw. (Idioms & Phrases)

A) a huge attraction B) a game without any result
C) a keen contest D) a lovely spectacle
 
Answer & Explanation Answer: A) a huge attraction

Explanation:

Here it is an idiom that says The cricket match proved to be a big draw means it stands as a huge attraction.

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2 9335
Q:

A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share?

A) Rs. 4050 B) Rs. 2121
C) Rs. 5040 D) Rs. 3550
 
Answer & Explanation Answer: A) Rs. 4050

Explanation:

Let the ratio amount be 'p'

7p - 3p = 2700

4p = 2700

p = 675

R's Share = 675 × 6 = Rs. 4050

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14 9334
Q:

A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger ?

A) 25 sec B) 40 sec
C) 38 sec D) 32 sec
 
Answer & Explanation Answer: B) 40 sec

Explanation:

Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 x 5/18 = 10 m/sec.

Distance to be covered = 260 + 140 = 400 m.

Time taken = 400/10 = 40 sec.

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Q:

18 tens 20 ones =

A) 1820 B) 180
C) 200 D) 160
 
Answer & Explanation Answer: C) 200

Explanation:

18 tens 20 ones, the given stateent can be split into

18 tens = 18 x 10 = 180

20 ones = 20 x 1 = 20

 

Then add both => 180 + 20 = 200

 

Hence, 18 tens 20 ones = 200.

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12 9333
Q:

Read the following puzzle carefully, answer the question asked below ?

Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday.

1) K visits one day after Thursday.

2) Only 4 people are in between K and L

3) The one who likes Red colour visits immediately after L.

4) Only one person visit between Red and Blue

5) The one who like white colour visit before one of days on which day M visits

6) The one who like white colour does not visit on Monday.

7) Only 1 person is in between N and O. N like Yellow.

8) There are same as many person in between K and Blue colour which are one less in between L and M.

9) Neither Q nor P likes Black.

10) Q does not visit on Saturday and does not like grey colour.

Question :

Who visits on Sunday and Tuesday and their favourite colors ?

A) P & M B) N & K
C) K & L D) P & Q
 
Answer & Explanation Answer: C) K & L

Explanation:

Monday          - N  - Yellow

Tuesday         - L  - White

Wednesday    - O  - Red

Thursday       - Q  - Orange

Friday           - M  - Blue

Saturday       - P  - Grey

Sunday         - K  - Black

From the above table,

K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

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Q:

In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food?

A) 10 days B) 15 days
C) 20 days D) 5 days
 
Answer & Explanation Answer: A) 10 days

Explanation:

After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days

-->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).

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10 9318
Q:

Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ?

A) 24.315 minutes B) 26.166 minutes
C) 22.154 minutes D) 24 minutes
 
Answer & Explanation Answer: B) 26.166 minutes

Explanation:

Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120


For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120


So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120
So remaining tank = 13/120


Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.
So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes

 

Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.

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Q:

What is the value of 62 tens?

A) 6 B) 620
C) 62 D) 2
 
Answer & Explanation Answer: B) 620

Explanation:

Here in the question it is asked that 62 tens, which implies ten times of 62.

=> 62 x 10 = 620.

 

Hence, the value of 62 tens = 620.

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