CAT Questions

Q:

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?

A) 22 B) 36
C) 32 D) 26
 
Answer & Explanation Answer: B) 36

Explanation:

Total number of students = 54 x 30
When arranged in rows of 45, number of rows formed are,
54x3045 = 36.

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Q:

An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item?

A) Rs. 90 B) Rs. 75
C) Rs. 55 D) Rs. 40
 
Answer & Explanation Answer: D) Rs. 40

Explanation:

Let the cost price of the item = Rs. 50

Sold at 10% loss => for Rs. 50 loss  S.P = Rs. 45

From the  given data,

25/2 % gain if it is sold at Rs. 9 more

56.25 - 45 = 9

=> 11.25 = 9

=> 22.5 = 18

=> 45 = 36

=> 50 = ?

=> C.P = 50 x 3645 = 40

 

Hence, the Cost price of the item = Rs. 40.

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Filed Under: Profit and Loss
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15 10455
Q:

R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?

A) Rs. 90500 B) Rs. 87500
C) Rs. 88900 D) Rs. 90000
 
Answer & Explanation Answer: D) Rs. 90000

Explanation:

Ratio of investments for 1 year

=> (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12)

=> (P : Q : R) = 28 : 39 : 60

Now R share = 190500 x 60/127 = Rs. 90000.

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Filed Under: Partnership
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10 10455
Q:

The intensity of Earthquakes is measured on

A) Richter scale B) Secant scale
C) Mercalli scale D) Beaufort scale
 
Answer & Explanation Answer: C) Mercalli scale

Explanation:

The intensity of Earthquakes is measured on Mercalli scale.

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Filed Under: General Science
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31 10452
Q:

Guess the Missing number in the Number Challenge ?

17952005_1270242106416224_3606280889628581173_n1499840598.jpg image

A) 8 B) 32
C) 44 D) 64
 
Answer & Explanation Answer: D) 64

Explanation:

The logic in the challenge is

 81x6 = 9x6 = 54

144x7=84

 

 

Similarly, 64x8 = 8x8 = 64.

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23 10446
Q:

A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ?

A) 7 hrs B) 7.5 hrs
C) 8 hrs D) 8.25 hrs
 
Answer & Explanation Answer: B) 7.5 hrs

Explanation:

Let there are L men

job requires LK man hours.

 

job completed in first 4 hrs = L x 4 = 4L

job completed in next 4 hrs = 4 x L/2 = 2L

job completed in next 4 hrs = 4 x L/4 = L

job completed in last 4 hrs = 4 x L/8 = L/2

4L + 2L + L + L/2 = KL

K = 7+1/2 = 7.5 hours.

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Filed Under: Time and Work
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5 10443
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 10442
Q:

If the digits in the number 25673948 are arranged in ascending order from left to right, what will be the sum of the digits which are fourth from the right and third from the left in the new arrangement?

A) 10 B) 9
C) 8 D) 6
 
Answer & Explanation Answer: A) 10

Explanation:

Given Number :      2 5 6 7 3 9 4 8

 

Ascending order :  2 3 4 5 6 7 8 9

 

Specified letters are 6 and 4 respectively.

 

Hence, required sum = (4 + 6 = 10)

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