CAT Questions

Q:

Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ?

A) 4 hrs 10 min B) 3 hrs 15 min
C) 3 hrs 30 min D) 4 hrs 1 min
 
Answer & Explanation Answer: C) 3 hrs 30 min

Explanation:

Let the speed of boat and stream be x and y kmph respectively.

According to question

d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i)

and 2d/x-y = 7...... (ii)

From eq. (i) and (ii)

2d/x+y = 7/2

Hence, Amith will take to row 2d km distance downstream in 7/2 hrs

= 3.5 hrs

= 3 hrs 30 min.

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Filed Under: Boats and Streams
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16 8934
Q:

A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ?

A) 10% B) 15%
C) 20% D) 25%
 
Answer & Explanation Answer: D) 25%

Explanation:

Let the list price be Rs.100. 

 

Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.

 

Therefore, his percentage is = 1560x100 = 25%

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
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17 8933
Q:

Financial management process deals with

A) Financing decisions B) Investments
C) Both A & B D) None of the above
 
Answer & Explanation Answer: A) Financing decisions

Explanation:

Financial management refers to the efficient and effective management of money (funds) in such a manner as to accomplish the objectives of the organization. It is the specialized function directly associated with the top management.

 

Hence, it deals with Financial decisions.

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Filed Under: Finance
Exam Prep: AIEEE , Bank Exams , CAT
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11 8921
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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Filed Under: Problems on Trains
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5 8918
Q:

Computer process data into information by working exclusively with

A) numbers B) multimedia
C) characters D) words
 
Answer & Explanation Answer: C) characters

Explanation:

Computers process data into information by working exclusively with characters.

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Filed Under: Computer
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13 8917
Q:

There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?

A) 1/10 B) 1/9
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address
P(E) = favorable outcomes /total outcomes
Here favorable outcomes are '0'.
So probability is '0'.

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Filed Under: Probability
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5 8914
Q:

What has a head and a tail but nobody?

Answer

A Coin has a Head and tail but no body. Since the two sides of coin are called as heads and tails.

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12 8911
Q:

The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 8 : 9. Then what is the number of visitors on the 5th day of the library ?

A) 54 B) 64
C) 68 D) 72
 
Answer & Explanation Answer: D) 72

Explanation:

If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, then
k + l + m + n = 58 x 4 = 232 ---- (i) &
l + m + n + o = 60 x 4 = 240 ---- (ii)
Subtracting (i) from (ii), we get
o-k = 8 ---(iii)
Given, k/o = 8/9 ----(iv)
So from (iii) & (iv), we get
a = 64, e = 72
Therefore, number of visitors on 5th day is 72.

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Filed Under: Simplification
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8 8908