CAT Questions

Q:

Althaf borrows Rs. 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is Rs. 186. How much does he borrow at the rate of 12% ?

A) Rs. 300 B) Rs. 400
C) Rs. 1200 D) Rs. 1100
 
Answer & Explanation Answer: C) Rs. 1200

Explanation:

Let Althaf lent Rs. A at 14% per year.
Hence, Money lent at 12% = (1500-A);
Given, total interest = Rs. 186.
{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;
14A/100 + (18000 -12A)/100 = 186;
14A + 18000 - 12A = 186x100;
2A = 18600-18000;
A = 600/2 = Rs. 300.
Hence, money lent at 12% = 1500-300 = Rs. 1200.

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Filed Under: Simple Interest
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1 4779
Q:

In how many different ways can the letters of the word 'ABYSMAL' be arranged ?

A) 5040 B) 3650
C) 4150 D) 2520
 
Answer & Explanation Answer: D) 2520

Explanation:

Total number of letters in the word ABYSMAL are 7

 

Number of ways these 7 letters can be arranged are 7! ways

 

But the letter is repeated and this can be arranged in 2! ways

 

Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.

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Filed Under: Permutations and Combinations
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13 4779
Q:

A 150 m long train crosses another 210 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train ?

A) 75 kmph B) 80 kmph
C) 54 kmph D) 45 kmph
 
Answer & Explanation Answer: A) 75 kmph

Explanation:

Total distance = 150 + 210 = 360 mts

Time taken to cross each other when moving in opposite direction = 10.8 sec

Relative speed of trains = (350/10.8) x 18/5 = 3600/30 = 120 kmph

Speed of shorter train = (150/12) x 18/5 = 45 kmph

 

Hence, speed of longer train = 120 - 45 = 75 kmph.

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Filed Under: Problems on Trains
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6 4774
Q:

One hour is what percent of a day?

A) 5.6% B) 4.16%
C) 3.35% D) 6.7%
 
Answer & Explanation Answer: B) 4.16%

Explanation:

A day has 24 hrs

=> If 24 hrs - 100

Then 1 hr = ?

100/24 = 4.16%

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Filed Under: Percentage
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31 4774
Q:

ISRO has successfully launched GSAT-19 communication satellite through which launch vehicle  ?

A) GSLV Mark I B) GSLV Mark II
C) GSLV Mark III D) GSLV Mark IV
 
Answer & Explanation Answer: C) GSLV Mark III

Explanation:

The Indian Space Research Organisation (ISRO) has successfully launched its 3136 kg GSAT-19 communication satellite with its brand new and heaviest – Geosynchronous Satellite Launch Vehicle Mark-III D-1 (GSLV-Mk III D-1) satellite into Geosynchronous Transfer Orbit (GTO) from the Satish Dhawan Space Centre (SDSC) in Sriharikota, Andhra Pradesh on June 5, 2017. The satellite GSAT-19 has an intended life span of 10 years and is developed to improve telecommunication and broadcasting areas. The GSLV-Mk III is popularly known as “fat boy” and is developed for 15 years at a cost of around Rs 300 crore. The rocket is capable of carrying payloads of up to 4,000 kg into the GTO and 10,000 kg into the Low Earth Orbit (LEO). The GSLV-Mk III is a three stage rocket. Its first stage is made of two strap on motors filled with solid fuel. The second stage uses the liquid fuel and the third is the cryogenic upper stage “C25”, which is powered by the highly complex indigenous cryogenic engine “CE20”. The number 20 denotes the 20-ton thrust it generates for the rocket to reach the intended height with the heavy mass on board.

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Filed Under: General Awareness
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8 4772
Q:

What is scientific name of "Cotton"  ?

A) Azadhirachta Indica B) Phaseolies auicus
C) Gossypium Herbaceum D) Ficus Benghalensis
 
Answer & Explanation Answer: C) Gossypium Herbaceum

Explanation:
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Filed Under: Biology
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23 4771
Q:

The stability triangle is used to describe

Answer

The stability triangle is used to describe the movement of center of gravity of a load vehicle like trucks. If the load is not balanced then it moves and may tip over it.


 


                                         the_stability_triangle_is_used_to_describe1533620821.jpg image


 


If you were to raise a lift truck up and look at its underside, you would see that the support points for the truck are located at points A, B, and C. The triangle formed between points A, B, and C is called the Stability Triangle. The lift truck will not tip over as long as the center of gravity remains inside the triangle.


 


The center of gravity is the point within a lift truck where there is equal weight all around it.

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Subject: Physics Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 4770
Q:

Two candidates fought in a municipality election. One of them got 54% of the total votes pooled and won by 1080 votes. What was the total number of votes polled ?

A) 12000 B) 13500
C) 15400 D) 11000
 
Answer & Explanation Answer: B) 13500

Explanation:

Given in municipality election 54% votes have won by 1080

 

Let the total number of votes be x.

 

 54x100 - 46x100 = 1080

 

8x = 108000

 

x = 13,500

 

Therefore, total number of votes = 13,500.

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Filed Under: Percentage
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7 4769