CAT Questions

Q:

Amit can do a piece of work in 45 days, but Bharath can do the same work in 5 days less, than Amit, when  working alone. Amit and Bharath both started the work together but Bharath  left after some days and Amit finished the remaining work in 56 days with half of his efficiency but he did the work with Bharath with his complete efficiency. For how many days they had worked together?

A) 6 B) 8
C) 9 D) 12
 
Answer & Explanation Answer: B) 8

Explanation:

    AmitBharatNo.of Days4540Efficiency2.22Percent(=145)2.5 Percent(=140)

 

Amit did the work in 56 days = 56×145×2=2845 

 

Therefore, Rest work 17/45 was done by Amit and Bharath = 174517360 = 8 days

 

 

 

( since Amit and Bharath  do the work in one day = 145+140=17360)

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

30 17115
Q:

Study the information carefully and answer the question based on it.

Square: The person who reads English newspaper.

Triangle: The person who reads Marathi newspaper.

Circle: The person who reads Hindi newspaper.

How many people read only Marathi newspaper?

 

A) 30 B) 20
C) 60 D) 10
 
Answer & Explanation Answer: B) 20

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams , CAT

2 17110
Q:

Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work  ?

A) 18 days B) 20 days
C) 16 days D) 14 days
 
Answer & Explanation Answer: B) 20 days

Explanation:

(5m + 9w)10 = (6m + 12w)8 

=> 50m + 90w = 48w + 96 w    => 1m = 3w

5m + 9w = 5m + 3m = 8m

 

8 men can do the work in 10 days.

3m +3w = 3m + 1w = 4m

So, 4 men can do the work in (10 x 8)/4 = 20 days.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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9 17104
Q:

Website address is a unique name that identifies a specific ___ on the web.

A) Link B) Web browser
C) PDA D) Web site
 
Answer & Explanation Answer: D) Web site

Explanation:

Website address is a unique name that identifies a specific web site on the web.

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24 17100
Q:

The reflex angle between the hands of a clock at 11:35 is ?

A) 137.5 degrees B) 222.5 degrees
C) 192.5 degrees D) 330 degrees
 
Answer & Explanation Answer: B) 222.5 degrees

Explanation:

Apply the formula for finding the angle:
Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours)
Hence, 30x11 - 11/2x35 = 330 - 192.5 = 137.5 degrees
The reflex angle = 360 - 192.5 degree = 222.5 degrees.

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Filed Under: Clock puzzles
Exam Prep: AIEEE , Bank Exams , CAT
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31 17003
Q:

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A) 108 sq.cm B) 112 sq.cm
C) 116 sq.cm D) 120 sq.cm
 
Answer & Explanation Answer: D) 120 sq.cm

Explanation:

The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.

Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm

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Filed Under: Area
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19 16998
Q:

217 x 217 + 183 x 183 = ?

A) 84521 B) 87487
C) 80578 D) 78458
 
Answer & Explanation Answer: C) 80578

Explanation:

2172+1832

 

= 200+172+200-172

 

It is in the form of a+b2+a-b2=2a2+b2

 

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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22 16960
Q:

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions  ?

A) 10 sec B) 11 sec
C) 12 sec D) 8 sec
 
Answer & Explanation Answer: A) 10 sec

Explanation:

Relative Speed = 60 -40 = 20 x 5/18 = 100/18

Time = 50

Distance = 50 x 100/18 = 2500/9

Relative Speed = 60 + 40 = 100 x 5/18

Time = 2500/9 x 18/500 = 10 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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13 16929