CAT Questions

Q:

After working for 8 days, Hari Ram finds that only 1/3 rd of the work has been done. He employs Satya who is 60% as efficient as Hari Ram. How many days more would Satya take to complete the work ?

A) 24 1/2 days B) 25 3/2 days
C) 24 2/3 days D) 26 2/3 days
 
Answer & Explanation Answer: D) 26 2/3 days

Explanation:

1/3 ---- 8

1 -------?
Hari can do total work in = 24 days

As satya is 60% efficient as Hari, then

Satya = 1/24 x 60/100 = 1/40

=> Satya can do total work in 40 days

1 ----- 40

2/3 ---- ? => 26 2/3 days.

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Q:

In a class of 80 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?

A) 1060 B) 960
C) 860 D) 760
 
Answer & Explanation Answer: A) 1060

Explanation:

From the given data,

80 x 15/100 of 80 + 5 x 80 x 25/100

= 960 + 100

= 1060.

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Filed Under: Percentage
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9 7436
Q:

Poison glands of snakes are homologous to

A) sebaceous glands of mammals B) salivary glands of vertebrates
C) stings of rays D) electric organs of fishes
 
Answer & Explanation Answer: B) salivary glands of vertebrates

Explanation:

Here Homologous Means having the same relation or relative position or structure. 

Here in snakes poison is in glands and here salivary glands are in Vertebrates.

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13 7412
Q:

A group of 1200 persons consisting of boys and girls is travelling in a Bus. For every 15 boys there is one girl. The number of girls in the group is ?

A) 60 B) 65
C) 70 D) 75
 
Answer & Explanation Answer: D) 75

Explanation:

If there are x girls, then
x + 15x = 1200
16x = 1200
x= 1200/16 = 75

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Filed Under: Arithmetical Reasoning
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4 7410
Q:

The best eradication method for a major infestation is

A) Chemical B) Bacteria
C) Fusion D) None of the above
 
Answer & Explanation Answer: A) Chemical

Explanation:
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5 7406
Q:

The difference between a virus and a self-replicating program which is like a virus is that rather than creating copies of itself on only one system it propagate through computer network. What is that called as _____

A) Keylogger B) Worm
C) Time Bomb D) Cracker
 
Answer & Explanation Answer: B) Worm

Explanation:
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16 7399
Q:

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

A) 83 B) 89
C) 85 D) 79
 
Answer & Explanation Answer: C) 85

Explanation:

Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F of 551 and 1073 = 29;
First number = 551/29 = 19
Third number = 1073/29 = 37.
Required sum = 19 + 29 + 37 = 85.

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Q:

Rs. 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10% ?

A) Rs. 20,000 B) Rs. 10,000
C) Rs. 30,000 D) Rs. 40,000
 
Answer & Explanation Answer: C) Rs. 30,000

Explanation:

Let first part is 'K' and second part is 'L'
then K + L = 50000---------eq1
Total profit = profit on x + profit on y
7000 = (K x 10 x 1)/100 + (L x 20 x 1)/100
70000 = K + 2L-----------------------------------eq2
70000 = 50000 + L
so L = 20000 then K = 50000 - 20000 = 30000
first part on 10% is = Rs.30000

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5 7396