CAT Questions

Q:

A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 66 characters. The content is again retyped on another set of sheets, these new sheets have 65 lines and each line can take 70 characters. Calculate the reduction in sheets ?

A) 2 or 60% B) 4 or 20%
C) 6 or 10% D) 8 or 5%
 
Answer & Explanation Answer: B) 4 or 20%

Explanation:

20 x 55 x 66 = L x 65 x 70
Here L = 72,600/4550 = 15.95 =~ 16
Reduction is 20-16 = 4

which is 20% reduction.

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Filed Under: Percentage
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3 4804
Q:

Multiplicative inverse of 0

A) 0 B) 1
C) infinity D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).

 

Hence, 0 doesn't have any multiplicative inverse.

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Filed Under: Arithmetical Reasoning
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1 4804
Q:

K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ?

A) 12 pm B) 1 pm
C) 11 am D) 11:30 am
 
Answer & Explanation Answer: A) 12 pm

Explanation:

let 't' be the time after which they met since L starts.

Given K is 50% faster than L

50 t + 1.5*50(t-1) = 300

50 t +75 t = 300 + 75

t = 375 / 125 = 3 hrs past the time that L starts

So they meet at (9 + 3)hrs = 12:00 noon.

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Filed Under: Time and Distance
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4 4803
Q:

ALU stands for in computer?

A) Automatic Logic Unit B) Android Logic Unit
C) Arithmetic Logic Unit D) None of the above
 
Answer & Explanation Answer: C) Arithmetic Logic Unit

Explanation:

alu_in_computer_is1551963521.jpg image

ALU in computer stands for Arithmetic Logic Unit.

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12 4803
Q:

In following question, a number series is given with one term missing. Choose the correct alternative for these sequence.

24, 60, 120, 210, ?

A) 336 B) 330
C) 300 D) 370
 
Answer & Explanation Answer: A) 336

Explanation:


3 x 3 x 3 = 27 - 3 = 24

4 x 4 x 4 = 64 - 4 = 60

5 x 5 x 5 = 125 - 5 = 120

6 x 6 x 6 = 216 - 6 = 210

7 x 7 x 7 = 343 - 7 = 336

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Filed Under: Number Series
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14 4802
Q:

If A = log321875 and B = log2432187, then which one of the following is correct?

A) A B) A=B
C) A>B D) can't be determined
 
Answer & Explanation Answer: B) A=B

Explanation:

 Given A = log321875 and B = log2432187

B = log352187 = log321875

=> A

Therefore, A = B

   

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Filed Under: Logarithms
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7 4801
Q:

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red.

A) 2/3 B) 1/2
C) 1/52 D) 13/51
 
Answer & Explanation Answer: B) 1/2

Explanation:

We know that:

When one card is drawn from a pack of 52 cards

The numbers of possible outcomes n(s) = 52

We know that there are 26 red cards in the pack of 52 cards
⇒ The numbers of favorable outcomes n(E) = 26

Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S)

∴ required probability = 26/52 = 1/2.

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Filed Under: Probability
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10 4799
Q:

Eric is the son of Tom who is the brother of Jerry who is the daughter of Sin. Doremon is the sister of Popoy who is son of Chain. Ivanka is the daughter of Popoy who is the husband of Jerry. Sin is the male person and Chain is the female person.

How is Ivanka related to Eric ?

A) Cousin sister B) Nephew
C) Niece D) Daughter
 
Answer & Explanation Answer: A) Cousin sister

Explanation:

Since Eric's father and Ivanka's mother are Brother and sister, 

=> Ivanka is Eric's Aunt Daughter => Cousin Sister. 

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Filed Under: Blood Relations
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42 4799