CAT Questions

Q:

Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ?

A) 17 days B) 11 days
C) 15 days D) 16 days
 
Answer & Explanation Answer: C) 15 days

Explanation:

We know that Time is inversely proportional to Efficiency

Here given time ratio of P & P+Q as

P/P+Q = 150/100 = 3:2

Efficiency ratio of P & Q as

P:Q = 2:1 ....(1)

Given Efficiency ratio of Q & R as

Q:R = 3:1 ....(2)

From (1) & (2), we get

P:Q:R = 6:3:1

P alone can finish the work in

22.5(3+1)/6 = 15 days.

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Filed Under: Time and Work
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18 14129
Q:

The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ?

A) Rs. 1,44,750 B) Rs. 2,35,745
C) Rs. 89,489 D) Rs.74,256
 
Answer & Explanation Answer: A) Rs. 1,44,750

Explanation:

3T+12C = 48,250----(1)

21T+36C = ?

multiply eq (1) with 3
i.e,, 3(7T+12C) = 48,250*3
21T+36C = 1,44,750/-

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Filed Under: Arithmetical Reasoning
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25 14089
Q:

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

A) 11 months B) 9 months
C) 7 months D) 10 months
 
Answer & Explanation Answer: D) 10 months

Explanation:

7x5: 5xk = 7:10
k = 10 months

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Filed Under: Partnership
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7 14078
Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km B) 3 7/5 km
C) 1 3/4 km D) 4 3/8 km
 
Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
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9 14068
Q:

In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W?

A) 15 B) 16
C) 17 D) can't be determined
 
Answer & Explanation Answer: B) 16

Explanation:

W = 10th from the left

 

R = 4th from the right = (30 - 4 + 1= ) 27th from left

 

 No of boys between R and W = (27 - 10) - 1 = 16

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28 14068
Q:

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

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

Explanation:

    4:5
    3:2
   -------
=> 12:15:10

 12:10

=> 6:5

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Filed Under: Ratios and Proportions
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11 14062
Q:

Productivity is the combination of

A) efficiency and energy B) efficiency and effectiveness
C) efficiency and attitude D) effectiveness and resources
 
Answer & Explanation Answer: B) efficiency and effectiveness

Explanation:

Productivity is a result of the way that a business operates – the result of the way that its people, business processes, different functional units and suppliers come together to meet the needs and wants of its customers.

Productivity is the combination of intelligent planning and focused efforts and hence, it is a combination of Efficiency and Effectiveness.

Efficiency :


Efficiency is an internal measure of performance for companies that shows how well the company converts inputs into outputs. The more the ratio of outputs to inputs approaches 100 percent, the better the efficiency of the process will be. In simple terms, it is “doing things right” and comes from proper harnessing of time, cost and efforts.

Effectiveness :


Organizational effectiveness is an external measure of performance and indicates how well an organization fulfills the demands of various organizational stakeholders. Simply put, it is “doing the right things."

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Filed Under: Marketing and Sales
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7 14054
Q:

Ashtadhyayi was written by

A) Ved vysa B) Panini
C) Shukadeva D) Balmiki
 
Answer & Explanation Answer: B) Panini

Explanation:

Ashtadhyayi was written by Panini. He was a Sanskrit grammarian who gave a comprehensive and scientific theory of phonetics, phonology, and morphology. Panini was born in Shalatula, a town near to Attock on the Indus river in present day Pakistan.

Ashtadhyayi_was_written_by1565176023.jpg image

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Filed Under: Indian History
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13 14053