Wednesday, July 1, 2015

Quant Quiz

For Ques (1-4): Read the statement below and answers the questions.

A can do a piece of work in 12 days and B in 15 days. Find how much time they will take to complete the work under the following conditions.
1. Working alternately starting with A 
(A) On 14 th day B has to work 1/3 rd time of day       
(B) On 14 th day B has to work 1/4 th time of day         
(C) On 14 th day B has to work 1/2 time of day     
(D) On 14 th day B has to work full time of day
(E) None of these.

2. Working alternately starting with B
(A) On 14 th day A has to work 1/3 rd time of day       
(B) On 14 th day A has to work 1/4 th time of day        
(C) On 14 th day A has to work 1/2 time of day      
(D) On 14 th day A has to work full time of day 
(E) None of these.

3. When both of them are working together and B leaves 2 days before the actual completion of work, then find the total time required to complete the job.
(A) 7.34 Days                    
(B) 8 Days                    
(C) 8.27 Days                       
(D) 9.23 Days 
(E) None of these.

4. If another person C who does negative work, work against A and B and can completely destroy the work in 25 days, joins them and they work together all the time. How much time required completing the work?
A) 9 Days
B) 10 Days
C) 11 Days
D) 12 days
E) None of these.


5. A sum of Rs. 6600 was taken as a loan. This is to be repaid in two equal annual installments. If the rate of interest be 20% compounded annually then the value of each installment is
A) 4320
B) 4400
C) 4500
D) 4220
E) None of these .


Directions (6-10) Study the following graph carefully and answer the questions given below India's Export of rice over the years (in lakh tonnes)

6. What was the percentage increase in export of rice from 1991 to 1992?
A) 30 
B) 20
C) 15
D) 25
E) None of these.

7. The total export of rice in 1994 was what percent of the total export in the year 1991 and 1993?
A) 60 
B) 50 
C) 30  
D) 40
E) None of these.

8. What was the percentage drop in the export of rice in the year 1994 as compared to the year 1993?
A) 25 
B) 30 
C) 35
D) 20
E) None of these.

9. In how many years the export of rice were less than the average export in the given year s?
A) 3  
B) 2
C) 4 
D) 5
E) None of these.

10.In which of the following pair of years the difference in export is maximum?
A) 1993-1997 
B) 1994-1996
C) 1991-1993  
D) 1992-1994
E)  1991- 1992

Answers

1. b
2. e
3. e
4. e
5.a
6. b 
7. b
8. d
9. a
10.c

Hint:(1-5)
1. Work starting with A
So Work done in 2 day = 1/12+1/15 = 9/60
total work done in 12 day = 54/60
remain work =1/10
work done by A on 13th day .
after 13day  remain = 1/60
on 14th day  B have to work 1/4 th time of day.

2. Same way if starting with B .
on 14 day work will done by A around 2/5 th (approx)time  of day .

3. in last 2 day work done by A
so remain work = 60-10 = 50
So total required day = 50/9+2 = 7.5 (approx)

4. C does negative work .
So total days to complete the work =1 /( 1/12+1/15-1/25 ) = approx 9.09 days

5. interest is compounded annually .
and we have to give equal installement.
let each installment is x rs.
x/(1+20/100) + x/(1+20/100)^2 = 6600
on solving x = 4320.


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