CAT Questions

Q:

K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ?

A) 15 days B) 13 days
C) 12 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

Explanation:

In one day work done by K = 1/20

Work done by K in 2 days = 1/10

 

Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10

Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5

 

1/5th of the work will be completed at the end of 3 days.

The remaining work = 1 - 1/5 = 4/5

1/5 of work is completed in 3 days

Total work wiil be done in 3 x 5 = 15 days.

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Filed Under: Time and Work
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Q:

If 27th December 2009 was a Thursday, then what day of the week was it on 1st March 2010?

A) Thursday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: B) Friday

Explanation:
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Filed Under: Calendar
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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) 1020 D) 920
 
Answer & Explanation Answer: A) 1060

Explanation:

Total number of sweets

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

= 960 + 100 = 1060

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Filed Under: Percentage
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Q:

Find the value of 1.21x0.91.1x0.11?

A) 0 B) 1
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

Explanation:

Given   1.21x0.91.1x0.11

 

1.21x100x0.9x101.1x10x0.11x100

 

9

 

= 3.

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Filed Under: Square Roots and Cube Roots
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Q:

The first attempt made to enumerate the population of India was done in which year ?

A) 1884 B) 1896
C) 1921 D) 1872
 
Answer & Explanation Answer: D) 1872

Explanation:
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Filed Under: Indian History
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Q:

There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?

A) 121 B) 943
C) 462 D) None
 
Answer & Explanation Answer: C) 462

Explanation:

Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

The answer is 462.

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Filed Under: Numbers
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Q:

What is Latus Rectum of Parabola?

A) line segment B) vertex
C) focus D) major axis
 
Answer & Explanation Answer: A) line segment

Explanation:

As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal.

 

The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic.

                                      download1522126663.jpg image

 

The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.

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Filed Under: Analytical Reasoning
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Q:

Change Active Voice to Passive Voice?

Active voice : Has he completed the work?

Answer

Passive Voice : Has the work been completed by him?


 


Rules in changing from Active voice to Passive voice :


1. Identify the subject, the verb and the object: S+V+O


2. Change the object into subject


3. Put the suitable helping verb or auxiliary verb


4. Change the verb into past participle of the verb


5. Add the preposition "by"


6. Change the subject into object.

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