CAT Questions

Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421 B) 9,423
C) 11,600 D) 10,500
 
Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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5 14059
Q:

Who planted the 'Tree of Liberty' at Srirangapatnam?

A) Tipu Sultan B) Murshid Quli Khan
C) Hyder Ali D) Chin Quilich Khan
 
Answer & Explanation Answer: A) Tipu Sultan

Explanation:

The Liberty Tree was a famous elm tree that stood in Boston before American Revolution.

 

The 'Tree of Liberty' at Srirangapatnam was founded in 1794 by French Republican officers with the support of Tipu Sultan.

 

Who_planted_the_Tree_of_Liberty_at_Srirangapatnam1554096029.jpg image

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Filed Under: Indian History
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23 14048
Q:

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

A) 6.52 B) 8.14
C) 4.18 D) 5.02
 
Answer & Explanation Answer: C) 4.18

Explanation:

Distance to be covered = πD = 40π km 

Relative speed of bikers = 16 + 14 = 30 kmph.

 

Now, time=distancespeed =  40π30 = 4.18 hrs.

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21 14046
Q:

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

A) 45, 10 B) 10, 50
C) 9, 50 D) 50, 15
 
Answer & Explanation Answer: C) 9, 50

Explanation:

Let the age of A = A, B = B and C = C

From given

A = 3B

4 years ago,

C-4 = 2(A-4);

After 4 years

A + 4 = 31;

A = 27;
sub in above B, we get B = 9
C = 2(27 - 4) + 4 = 46 + 4 = 50

Hence B = 9yrs and C = 50yrs.

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16 14046
Q:

A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

A) 64 B) 76
C) 84 D) 98
 
Answer & Explanation Answer: C) 84

Explanation:

Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84

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13 14043
Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years B) 13 years
C) 14 years D) 16 years
 
Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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23 14040
Q:

Which operation is not performed by computer?

A) Understanding B) Controlling
C) Processing D) Inputting
 
Answer & Explanation Answer: A) Understanding

Explanation:

A computer can perform inputting, processing and cotrolling but it can't perform understanding as it is has no brain. It can't earn from its previous experiances.

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19 14031
Q:

Microprocessors as switching devices are for which generation computers?

A) Fourth generation B) Third generation
C) Second generation D) First generation
 
Answer & Explanation Answer: A) Fourth generation

Explanation:

Microprocessors are used in the computers of fourth generation computers. Personal microcomputers were possible due to the microprocessors.

 

Microprocessors further revolutionized the development of computers.

 

The first microprocessor called Intel 4004 was developed by American Intel Corporation in 1971.

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27 14016