CAT Questions

Q:

Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?

A) Rs. 7500 B) Rs. 4520
C) Rs. 8750 D) Rs. 6350
 
Answer & Explanation Answer: A) Rs. 7500

Explanation:

Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3

B's share = 25000 x 3/10 = Rs. 7500.

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Filed Under: Partnership
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5 10246
Q:

Where does the series number on a map appear?

A) Upper right margin B) Lower left margin
C) Both A & B D) Not Exist
 
Answer & Explanation Answer: C) Both A & B

Explanation:

The series number is found in both the upper right margin and the lower left margin. It is a sequence reference expressed either as a four-digit numeral (1125) or as a letter, followed by a three- or four-digit numeral (M661, T7110).

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Filed Under: General Awareness
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12 10240
Q:

What is the ratio of 18 minutes to one hour ?

A) 1/5 B) 3/4
C) 1/7 D) 3/10
 
Answer & Explanation Answer: D) 3/10

Explanation:

One hour = 60 min

18/60 = 3/10

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Filed Under: Clocks
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39 10234
Q:

Solve the Riddle :: Three men were on a boat that was stuck one mile from the shore.

One was afraid of Sharks. The other couldn't Swim. And the last one didn't have a life jacket. However, they reached the shore without any problems. How did they do it?

Answer

They walked and did this.


It was never specified that the boat was at sea. Since this logic is observed by them to tackle situation.

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22 10223
Q:

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ?

A) 25% B) 30%
C) 17% D) 19%
 
Answer & Explanation Answer: A) 25%

Explanation:

He has gain = 15 - 12 = 3,
Gain% = (3/12) x 100 = (100/4) = 25.
He has 25% gain.

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Filed Under: Alligation or Mixture
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17 10222
Q:

Atmospheric pressure exerted on earth is due to

A) gravitational pull B) rotation of earth
C) revolution of earth D) uneven heating of earth
 
Answer & Explanation Answer: A) gravitational pull

Explanation:

The atmospheric pressure at the surface of the Earth is due to gravitational pull of the earth and is about 14.7 psi.

 

That means that the weight of a column of air which has a cross section of 1 square inch and which stretches from the surface of the Earth to space is 14.7 pounds. 

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Filed Under: Physics
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7 10219
Q:

A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage?   

A) 260/11% B) 18.4%
C) 22.5% D) 100/7%
 
Answer & Explanation Answer: D) 100/7%

Explanation:

When profit is calculated on Marked Price (M.P) then,

      • C.P = M.P - P%

Let M.P = 100

 => C.P = 100 - 30 = 70

 But S.P = Rs. 80 as he gave 20% discount,

 Now, Actual Profit = 80-7070x100

  = 100/7 %

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Filed Under: Profit and Loss
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18 10215
Q:

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is :

A) 360 B) 180
C) 90 D) 120
 
Answer & Explanation Answer: B) 180

Explanation:

4 x 27 x 3125 = 22 × 33 × 55 ;

 

8 x 9 x 25 x 7 = 23 × 32 × 52 × 7

 

16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72

 

H.C.F = 22 × 32 × 5 = 180.

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Filed Under: HCF and LCM
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23 10199