CAT Questions

Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55 B) 105
C) 215 D) 148
 
Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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Q:

Rohan spends 24% of an amount of money on an insurance policy, 34% on food, 19% on children’s education and 17% on recreation. He deposits the remaining amount of Rs. 540 in bank. How much total amount does he spend on food and insurance policy together?

A) Rs. 6350 B) Rs. 5220
C) Rs. 5890 D) Rs. 6458
 
Answer & Explanation Answer: B) Rs. 5220

Explanation:

Remaining % of amount with Rohan

= 100 - (24 + 34 + 17 + 19)

= 100 - 94

= 6%

=> 6% = 540

=> 100% = ?

540 x 100/6 = Rs. 9000

Now, Money spent on insurance and food is

= 34 + 24 = 58% of 9000

= 58 x 9000/100

= 58 x 90

= Rs. 5220

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Q:

Give the iupac name for the following compound?

che1530787063.jpg image

A) Sec-Butylcyclohexine B) Isopropylcyclohexane
C) 2-Cyclohexybutane D) None of the above
 
Answer & Explanation Answer: B) Isopropylcyclohexane

Explanation:
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Q:

How many member countries did the UNO have on its formation in 1945 ?

A) 45 B) 51
C) 48 D) 54
 
Answer & Explanation Answer: B) 51

Explanation:
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Q:

If L exceeds K by 30%, then K is less than L by ?

A) 14 2/5 % B) 23 1/3 %
C) 20 % D) 16 %
 
Answer & Explanation Answer: B) 23 1/3 %

Explanation:

K = 100 L = 130
130------ 30
100------- ? => 23 1/13 %

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Q:

9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work?

A) 35/4 days B) 17.5 days
C) 19 3/4 days D) 37/3 days
 
Answer & Explanation Answer: B) 17.5 days

Explanation:

Let the number of days be 'p' 

As the work is same, we know that

M1 x D1 x H1 = M2 x D2 x H2

Where M = Men, D = Days, H = Hours per day 

Here M1 = 9, D1 = 15, H1 = 7 

M2 = 6, D2 = p, H2 = 9 

=> 9 x 15 x 7 = 6 x p x 9 

=> p = 35/2 = 17.5 days.

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Q:

Who has been appointed as new Chairman of Indian Railway Board in August 2017 ?

A) Ashwani Lohani B) S. K. Bhagat
C) Akhil Agarwal D) A. K. Mittal
 
Answer & Explanation Answer: A) Ashwani Lohani

Explanation:

Ashwani Lohani is IRSME officer, appointed as new Chairman of the Indian Railway Board soon after A.K. Mittal stepped down from the post. He is former Chairman & Managing Director of Air India.

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Q:

Find the logic and solve this mathematical puzzle?

solve_this_maths_puzzle1565956551.jpg image

A) 112 B) 72
C) 127 D) 144
 
Answer & Explanation Answer: D) 144

Explanation:

In the given puzzle, the logic is

2 + 3 = 10 => (2 + 3) * 2 = 10

6 + 3 = 54 => (6 + 3) * 6 = 54

8 + 3 = 88 =>  (8 + 3) * 8 = 88

Similarly,

9 + 7  => (9 + 7) * 9 = 16 x 9 = 144.

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