CAT Questions

Q:

'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ?

A) 32.1 km B) 15.23 km
C) 3.75 km D) 32.1 m
 
Answer & Explanation Answer: C) 3.75 km

Explanation:

Let 'd' be the distance between A and B
K -time = d/10 + d/9 = 19d/90 hours
L -time = 2d/12 = d/6 hours
We know that, 10 min = 1/6 hours
Thus, time difference between K and L is given as 10 minutes.
=> 19d/90 - d/6 = 1/6
=> (19d-15d)/90 = 1/6
=> 4d/90 = 1/6
Thus,
d= 15/4 km = 3.75 km.

hence the distance between A and B is 3.75 km.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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3 6796
Q:

Largest Mint in India is at

A) Mumbai B) Hyderabad
C) Noida D) Kolkata
 
Answer & Explanation Answer: D) Kolkata

Explanation:

The Largest Mint in India is Kolkata Mint.

 

Government of India operates 4 Mints in the country for the production of Coins. They are at

      • Hyderabad, Telangana
      • Mumbai, Maharashtra
      • Kolkata, West Bengal
      • Noida, Uttar Pradesh. 
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Filed Under: Famous Places
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Analyst

17 6788
Q:

Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

A) 58 B) 60
C) 55 D) 45
 
Answer & Explanation Answer: B) 60

Explanation:

-5-----------------------5-------------------20

5-(-5) = 10

20-5= 15

Ratio of cost price of book1 and book2 = 3:2 

Then cost price of book 1 is given by

(3/5) x 100 = Rs. 60.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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20 6787
Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250 B) Rs. 600
C) Rs. 900 D) Rs. 1500
 
Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference = 

6 - 56 + 5 88100 x 7500 + 12100 x 7500= 111 x 88 x 75  + 12 x 75= 600 + 900= 1500

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT
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8 6787
Q:

India’s first and longest sea ropeway will be built between which places, as announced on 24 April 2017  ?

A) Mumbai & Elephanta Island B) Vizag & Andaman
C) Goa & Andaman D) None
 
Answer & Explanation Answer: A) Mumbai & Elephanta Island

Explanation:

India’s first and longest ropeway to connect Mumbai with the famous Elephanta Island in the Arabian Sea is planned to be constructed by the Mumbai Port Trust, according to the official report.

 The 8-km ropeway will begin from Sewri in Mumbai’s east coast and end at Raigad district’s Elephanta Island, globally renowned for Elephanta Caves, a UNESCO World Heritage site.

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Filed Under: Longest, Shortest, Deepest
Exam Prep: Bank Exams , CAT
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23 6783
Q:

Which keystroke is used for updating a field?

A) F11 B) F12
C) F6 D) F9
 
Answer & Explanation Answer: D) F9

Explanation:

F9 keystroke is used for updating a field.

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5 6781
Q:

Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ?

A) 22 sec B) 32 sec
C) 42 sec D) 52 sec
 
Answer & Explanation Answer: B) 32 sec

Explanation:

Given that,

1st train speed = 62 km/hr 

2nd train speed  = 44 km/hr

Hence the relative speed of two trains is : 62-44 = 18 km/hr = 18×518 m/s = 5 m/s.

There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in, 

 

timedistancespeed = 85+755 = 32 sec.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

8 6778
Q:

Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit  ?

A) Rs. 8840 B) Rs. 8800
C) Rs. 8810 D) None
 
Answer & Explanation Answer: D) None

Explanation:

Amount = 80001+51002

 

= 8000 x 21/20 x 21/20 

 

= Rs. 8820

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Filed Under: Compound Interest
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6 6777