CAT Questions

Q:

Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit?

A) 26,250 B) 19,200
C) 18,650, D) 15,200
 
Answer & Explanation Answer: D) 15,200

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given Rushi's one year profit = Rs. 5600

=> Let the total profit = Rs. P

Then,

P x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

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Filed Under: Partnership
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Q:

That which cannot be conquered -

A) Reticent B) Insolvent
C) Venial D) Invincible
 
Answer & Explanation Answer: D) Invincible

Explanation:

That which cannot be conquered is called as Invincible.

One who speaks less is called as Reticent.

A pardonable offence is called as Venial.

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Filed Under: English
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2 8324
Q:

Which of the following crop is known as Green Gold?

A) Coffee B) Neem
C) Tea D) Rice
 
Answer & Explanation Answer: C) Tea

Explanation:

Tea crop is known as Green Gold.

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Filed Under: General Science
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11 8320
Q:

Which element has similar properties to Beryllium?

A) Manganese B) Calcium
C) Both A & B D) Helium
 
Answer & Explanation Answer: B) Calcium

Explanation:

The elements in the same column will have similar properties. Beryllium is the group II element. Group II elements are magnesium, calcium, strontium, barium and radium. Hence, these show the similar prperties.

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Filed Under: Chemistry
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7 8310
Q:

A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?

A) 32.5 hrs B) 29.25 hrs
C) 30.30 hrs D) 31 hrs
 
Answer & Explanation Answer: B) 29.25 hrs

Explanation:

Let the leak will empty the tank in x hrs 

Then, 1/9 - 1/x = 1/13

x = 29.25 hrs

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Filed Under: Pipes and Cistern
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10 8308
Q:

Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M?

A) 1/4 B) 1/6
C) 1/8 D) 4
 
Answer & Explanation Answer: B) 1/6

Explanation:

Required probability is given by P(E) = n(E)n(S) = 14C2 = 16

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20 8300
Q:

Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight?

A) 76% B) 77%
C) 78% D) 79%
 
Answer & Explanation Answer: C) 78%

Explanation:

Let Akhil's weight = p kg

=> Shreyon's weight = 2p kg

Nani's weight = 0.9 x 2p = 1.8p kg

=> Arun's weight = 1.4p kg

Required percentage = 1.4p1.8p x 100

= 77.8%

~= 78%

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Filed Under: Percentage
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Q:

Directions:

Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box.

Question:

Which combination represents the position of C and its colour?

A) 6-Green B) 6-Red
C) 5-Purple D) 7-Blue
 
Answer & Explanation Answer: D) 7-Blue

Explanation:

From the given information the arrangement can be done as follows:

 

 Position  Box  Colour

 

      7         C       Blue
      6         F       Green
      5         B       Purple
      4         E       Orange
      3         G       Pink
      2         A       Red
      1         D       Yellow

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Filed Under: Logic
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