CAT Questions

Q:

In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?

A) 4/7 B) 2/3
C) 1/2 D) 5/6
 
Answer & Explanation Answer: B) 2/3

Explanation:

Total coins 30

In that,

1 rupee coins 20

50 paise coins 10

Probability of total 1 rupee coins =  20C11

Probability that 11 coins are picked = 30C11

Required probability of a coin now picked from the box is 1 rupee = 20C11/30C11 = 2/3.

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Filed Under: Probability
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17 12094
Q:

Microphone : Loud :: Microscope : ?

A) Investigate B) Magnify
C) Examine D) Elongate
 
Answer & Explanation Answer: B) Magnify

Explanation:

As Microphone makes sound louder similarly Microscope makes the object magnified.

 

Hence, Microphone : Loud :: Microscope : Magnify.

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Filed Under: Analogy
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5 12093
Q:

Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ?

A) 9 hrs B) 7 hrs
C) 13 hrs D) 11 hrs
 
Answer & Explanation Answer: B) 7 hrs

Explanation:

Given,

P can fill in 12 hrs

Q can fill in 15 hrs

R can fill in 20 hrs

=> Volume of tank = LCM of 12, 15, 20 = 60 lit

=> P alone can fill the tank in 60/12 = 5 hrs

=> Q alone can fill the tank in 60/15 = 4 hrs

=> R alone can fill the tank in 60/20 = 3 hrs

Tank can be filled in the way that

(P+Q) + (P+R) + (P+Q) + (P+R) + ....

=> Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit

=> In 6 hrs = 17 x 6/2 = 51 lit

=> In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit

=> So, total tank will be filled in 7 hrs.

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Filed Under: Time and Work
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11 12085
Q:

photosynthesis takes place faster in

A) darkness B) red light
C) white light D) yellow light
 
Answer & Explanation Answer: C) white light

Explanation:

As far as the rate of photosynthesis is concerned, it is fastest in white light making the rate of photosynthesis maximum.

After White, We Have Violet Light Where Photosynthesis Occur To A Higher Extent as It Has The Shortest Wavelength Hence Has The Max Energy.

 

So The Order Is  ::  white>violet>blue.

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Filed Under: Physics
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24 12081
Q:

Orkut’s creator Buyukkokten has launched a new social network called ________, which is available on mobile only.

A) Caller B) Hello
C) Hi D) Hay
 
Answer & Explanation Answer: B) Hello

Explanation:

Orkut’s creator Buyukkokten has launched a new social network called Hello, which is available on mobile only. The Hello.com app is available on Android and iOS in the following countries: US, Canada, Britain, France, Australia, Brazil, Ireland. Germany, Mexico and India are next on the list and the app should be available this month.

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Filed Under: General Awareness
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9 12064
Q:

Oldest Oil Field in India

A) Mumbai High, Maharashtra B) Anleshwar, Gujarat
C) Digboi, Assam D) None
 
Answer & Explanation Answer: C) Digboi, Assam

Explanation:

Digboi has the distinction of being India's oldest continuously producing oilfield. Digboi refinery, now a division of Indian Oil Corporation, had a capacity of about 0.65 MMTPA as of 2003. Digboi is now Headquarter of Assam Oil Division of Indian Oil Corporation Limited, though the crude production is not high today.

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27 12062
Q:

Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ?

A) 60 mts B) 120 mts
C) 240 mts D) 360 mts
 
Answer & Explanation Answer: D) 360 mts

Explanation:

Speed of the Train K is given by s = d/t = 240/20 = 12 m/s
Distance covered by Train K in 50 seconds = 12 x 50 = 600 mts.
But it crosses Train L in 50 seconds
Therefore, the length of the Train L is = 600 - 240 = 360 mts.

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Filed Under: Problems on Trains
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10 12053
Q:

A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ?

A) Rs. 4 B) Rs. 3
C) Rs. 5 D) Rs. 1
 
Answer & Explanation Answer: B) Rs. 3

Explanation:

Let wholesaler dealers marked price = 100%, Retailer's C.P = 80%
And the retailer sells at 5% less than the marked price => S.P = 95%
If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16
Profit made by the retailer = 19-16 =  Rs.3

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Filed Under: Profit and Loss
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11 12049