SNAP 2010: Previous Year Question Paper with Solutions

 Page 1


SNAP 2010
Quantitative Aptitude
1. In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on
weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
A    6364
B    5250
C    6570
D    8060
A n s w e r : A
Explanation:
Total revenue of the 30-day period = Rs.10000 x 30 days = Rs.300000
Total revenue of the weekends (8 days) = Rs.20000 x 8 days = Rs. 160000
Total revenue of weekdays = (300000-160000) = Rs. 140000
Avg. daily revenue on weekdays = 140000/22 = Rs.6363.63  Rs.6364
     
2. Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
A    X - Y = 23
B    X + Y is not equal to 87
C    Both 1 and 2
D    None of the above.
A n s w e r : B
Explanation:
2 is the only even prime number. Rest are odd. If both X and Y are greater than 2, they must be odd and sum of 2 odd nos. can never be
odd. So option '2' is correct.
3. It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another
pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
A    4.8
B    6
C    5.6
D    3
A n s w e r : A
Explanation:
Assuming tank volume to be 48 litres,
Flow rate through pump A = 48/6 = 8 litres/hr
Flow rate through pump B = 48/8 = 6 litres/hr
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Page 2


SNAP 2010
Quantitative Aptitude
1. In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on
weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
A    6364
B    5250
C    6570
D    8060
A n s w e r : A
Explanation:
Total revenue of the 30-day period = Rs.10000 x 30 days = Rs.300000
Total revenue of the weekends (8 days) = Rs.20000 x 8 days = Rs. 160000
Total revenue of weekdays = (300000-160000) = Rs. 140000
Avg. daily revenue on weekdays = 140000/22 = Rs.6363.63  Rs.6364
     
2. Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
A    X - Y = 23
B    X + Y is not equal to 87
C    Both 1 and 2
D    None of the above.
A n s w e r : B
Explanation:
2 is the only even prime number. Rest are odd. If both X and Y are greater than 2, they must be odd and sum of 2 odd nos. can never be
odd. So option '2' is correct.
3. It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another
pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
A    4.8
B    6
C    5.6
D    3
A n s w e r : A
Explanation:
Assuming tank volume to be 48 litres,
Flow rate through pump A = 48/6 = 8 litres/hr
Flow rate through pump B = 48/8 = 6 litres/hr
˜ 
  
.
Flow rate through pumps A, B, C together = 48/2 = 24 litres/hr
So, flow rate of pump C alone = 24 - (8+6) = 10 litres/hr
 Time taken by C alone to fill the tank = 48/10 = 4.8 hrs
4. A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is
started. At what time will the swimming pool be filled if pump B is started at 10 am?
A    11:20 a.m.
B    11:05 a.m.
C    11:10 a.m.
D    10:50 a.m.
A n s w e r : A
Explanation:
Let pool volume be 30 litres.
Flow rate through A = 30/3 = 10 litres/hr
Flow rate through B = 30/6 = 5 litres/hr
A is opened at 9:00am and then B is opened at 10:00 am. So, A alone fills the tank for an hour to 10 litres.
After 10:00am both are opened simultaneously.
Remaining 20 litres of the pool are filled at a combined flow rate of 15 litres/hr which takes 80 min to get filled.
 The pool is filled 80 mins after 10:00am i.e. 11:20am
    
5. The sum of prime numbers that are greater than 60, but less than 70 is :
A    128
B    191
C    197
D    260
A n s w e r : A
Explanation:
There are 2 prime nos. between 60 and 70 which are 61 and 67. Their sum is 128.
6. Find out the appropriate next number in the series from the options below :
0, 2, 6, 12, 20, 30, 42, ?
A    56
B    62
C    49
D    5
A n s w e r : A
Explanation:
In the given series, the difference between the terms is in A.P. with a common difference of 2. 
? 
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Page 3


SNAP 2010
Quantitative Aptitude
1. In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on
weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
A    6364
B    5250
C    6570
D    8060
A n s w e r : A
Explanation:
Total revenue of the 30-day period = Rs.10000 x 30 days = Rs.300000
Total revenue of the weekends (8 days) = Rs.20000 x 8 days = Rs. 160000
Total revenue of weekdays = (300000-160000) = Rs. 140000
Avg. daily revenue on weekdays = 140000/22 = Rs.6363.63  Rs.6364
     
2. Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
A    X - Y = 23
B    X + Y is not equal to 87
C    Both 1 and 2
D    None of the above.
A n s w e r : B
Explanation:
2 is the only even prime number. Rest are odd. If both X and Y are greater than 2, they must be odd and sum of 2 odd nos. can never be
odd. So option '2' is correct.
3. It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another
pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
A    4.8
B    6
C    5.6
D    3
A n s w e r : A
Explanation:
Assuming tank volume to be 48 litres,
Flow rate through pump A = 48/6 = 8 litres/hr
Flow rate through pump B = 48/8 = 6 litres/hr
˜ 
  
.
Flow rate through pumps A, B, C together = 48/2 = 24 litres/hr
So, flow rate of pump C alone = 24 - (8+6) = 10 litres/hr
 Time taken by C alone to fill the tank = 48/10 = 4.8 hrs
4. A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is
started. At what time will the swimming pool be filled if pump B is started at 10 am?
A    11:20 a.m.
B    11:05 a.m.
C    11:10 a.m.
D    10:50 a.m.
A n s w e r : A
Explanation:
Let pool volume be 30 litres.
Flow rate through A = 30/3 = 10 litres/hr
Flow rate through B = 30/6 = 5 litres/hr
A is opened at 9:00am and then B is opened at 10:00 am. So, A alone fills the tank for an hour to 10 litres.
After 10:00am both are opened simultaneously.
Remaining 20 litres of the pool are filled at a combined flow rate of 15 litres/hr which takes 80 min to get filled.
 The pool is filled 80 mins after 10:00am i.e. 11:20am
    
5. The sum of prime numbers that are greater than 60, but less than 70 is :
A    128
B    191
C    197
D    260
A n s w e r : A
Explanation:
There are 2 prime nos. between 60 and 70 which are 61 and 67. Their sum is 128.
6. Find out the appropriate next number in the series from the options below :
0, 2, 6, 12, 20, 30, 42, ?
A    56
B    62
C    49
D    5
A n s w e r : A
Explanation:
In the given series, the difference between the terms is in A.P. with a common difference of 2. 
? 
? 
  
.
30-20 = 10
42-30 = 12
So, next term will be 42+14 = 56
7. A bakery opened with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 60% of the remaining rolls were
sold between noon and closing time. How many dozen rolls were left unsold?
A    6
B    8
C    10
D    12
A n s w e r : B
Explanation:
40% of remaining rolls (half of 40 dozen) were left unsold, which is 0.4 x 20 = 8 dozen rolls
    
8. Stuart, Jack and Leo are colleagues working in a plant. Stuart and Jack can do a work in 10 days, Jack and Leo can do the same
work in 15 days while Stuart and Leo can do it in 12 days. All of them started the work together. After two days, Leo was shifted
to some other work. How many days will Stuart and Jack take to finish the rest of the work?
A    9
B    12
C    8
D    7.5
A n s w e r : D
Explanation:
Let the total work be 120 units.
Let efficiencies of Stuart = s , Jack = j , Leo = l.
We know, Efficiency x Time = Work done.
Forming 3 eqns.:
s + j = 120 units/ 10 days = 12 units/day
j + l = 120 units/ 15 days = 8 units/day
s + l = 120 units/ 10 days = 10 units/day
On solving the above 3 eqns. , we get 
s = 7 units/day , l = 3 units/day , j = 5 units/day
All 3 start together but Leo leaves after 2 days.
(15 x 2) + (12 x n) = 120
=> n = 7.5 days
 To finish rest of the work, Stuart and Jack take 7.5 days.
9. The missing numbers in the below series would be
1 : 1, 8 : 4, 9 : 27, 64 : 16, 25 : 125, ? : ?, 49 : 343
? 
  
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Page 4


SNAP 2010
Quantitative Aptitude
1. In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on
weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
A    6364
B    5250
C    6570
D    8060
A n s w e r : A
Explanation:
Total revenue of the 30-day period = Rs.10000 x 30 days = Rs.300000
Total revenue of the weekends (8 days) = Rs.20000 x 8 days = Rs. 160000
Total revenue of weekdays = (300000-160000) = Rs. 140000
Avg. daily revenue on weekdays = 140000/22 = Rs.6363.63  Rs.6364
     
2. Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
A    X - Y = 23
B    X + Y is not equal to 87
C    Both 1 and 2
D    None of the above.
A n s w e r : B
Explanation:
2 is the only even prime number. Rest are odd. If both X and Y are greater than 2, they must be odd and sum of 2 odd nos. can never be
odd. So option '2' is correct.
3. It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another
pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
A    4.8
B    6
C    5.6
D    3
A n s w e r : A
Explanation:
Assuming tank volume to be 48 litres,
Flow rate through pump A = 48/6 = 8 litres/hr
Flow rate through pump B = 48/8 = 6 litres/hr
˜ 
  
.
Flow rate through pumps A, B, C together = 48/2 = 24 litres/hr
So, flow rate of pump C alone = 24 - (8+6) = 10 litres/hr
 Time taken by C alone to fill the tank = 48/10 = 4.8 hrs
4. A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is
started. At what time will the swimming pool be filled if pump B is started at 10 am?
A    11:20 a.m.
B    11:05 a.m.
C    11:10 a.m.
D    10:50 a.m.
A n s w e r : A
Explanation:
Let pool volume be 30 litres.
Flow rate through A = 30/3 = 10 litres/hr
Flow rate through B = 30/6 = 5 litres/hr
A is opened at 9:00am and then B is opened at 10:00 am. So, A alone fills the tank for an hour to 10 litres.
After 10:00am both are opened simultaneously.
Remaining 20 litres of the pool are filled at a combined flow rate of 15 litres/hr which takes 80 min to get filled.
 The pool is filled 80 mins after 10:00am i.e. 11:20am
    
5. The sum of prime numbers that are greater than 60, but less than 70 is :
A    128
B    191
C    197
D    260
A n s w e r : A
Explanation:
There are 2 prime nos. between 60 and 70 which are 61 and 67. Their sum is 128.
6. Find out the appropriate next number in the series from the options below :
0, 2, 6, 12, 20, 30, 42, ?
A    56
B    62
C    49
D    5
A n s w e r : A
Explanation:
In the given series, the difference between the terms is in A.P. with a common difference of 2. 
? 
? 
  
.
30-20 = 10
42-30 = 12
So, next term will be 42+14 = 56
7. A bakery opened with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 60% of the remaining rolls were
sold between noon and closing time. How many dozen rolls were left unsold?
A    6
B    8
C    10
D    12
A n s w e r : B
Explanation:
40% of remaining rolls (half of 40 dozen) were left unsold, which is 0.4 x 20 = 8 dozen rolls
    
8. Stuart, Jack and Leo are colleagues working in a plant. Stuart and Jack can do a work in 10 days, Jack and Leo can do the same
work in 15 days while Stuart and Leo can do it in 12 days. All of them started the work together. After two days, Leo was shifted
to some other work. How many days will Stuart and Jack take to finish the rest of the work?
A    9
B    12
C    8
D    7.5
A n s w e r : D
Explanation:
Let the total work be 120 units.
Let efficiencies of Stuart = s , Jack = j , Leo = l.
We know, Efficiency x Time = Work done.
Forming 3 eqns.:
s + j = 120 units/ 10 days = 12 units/day
j + l = 120 units/ 15 days = 8 units/day
s + l = 120 units/ 10 days = 10 units/day
On solving the above 3 eqns. , we get 
s = 7 units/day , l = 3 units/day , j = 5 units/day
All 3 start together but Leo leaves after 2 days.
(15 x 2) + (12 x n) = 120
=> n = 7.5 days
 To finish rest of the work, Stuart and Jack take 7.5 days.
9. The missing numbers in the below series would be
1 : 1, 8 : 4, 9 : 27, 64 : 16, 25 : 125, ? : ?, 49 : 343
? 
  
.
A    36 : 316
B    216 : 36
C    316 : 16
D    32 : 316
A n s w e r : B
Explanation:
1st term - 1^2:1^3
2nd term - 2^3:2^2
3rd term - 3^2:3^3 ...and so on. 
The missing term is 6^3:6^2
10. The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22.
What is the original number?
A    70
B    65
C    40
D    90
A n s w e r : C
Explanation:
Let the number be N.
1.25 N - 0.7 N = 22
=> N = 22/0.55 = 40
    
11. Running at the same constant rate, 6 identical machines can produce a total of 180 bottles per hour. How many bottles could 15
such machines produce in 30 minutes?
A    225
B    300
C    250
D    350
A n s w e r : A
Explanation:
Machines are identical. So, each machine produces 180/6 = 30 bottles/hr 
15 such machines will produce 450 bottles in an hour.
So, in 30 mins 15 machines will produce 225 bottles.
12. A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is :
A    240
  
.
Page 5


SNAP 2010
Quantitative Aptitude
1. In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on
weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
A    6364
B    5250
C    6570
D    8060
A n s w e r : A
Explanation:
Total revenue of the 30-day period = Rs.10000 x 30 days = Rs.300000
Total revenue of the weekends (8 days) = Rs.20000 x 8 days = Rs. 160000
Total revenue of weekdays = (300000-160000) = Rs. 140000
Avg. daily revenue on weekdays = 140000/22 = Rs.6363.63  Rs.6364
     
2. Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
A    X - Y = 23
B    X + Y is not equal to 87
C    Both 1 and 2
D    None of the above.
A n s w e r : B
Explanation:
2 is the only even prime number. Rest are odd. If both X and Y are greater than 2, they must be odd and sum of 2 odd nos. can never be
odd. So option '2' is correct.
3. It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another
pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
A    4.8
B    6
C    5.6
D    3
A n s w e r : A
Explanation:
Assuming tank volume to be 48 litres,
Flow rate through pump A = 48/6 = 8 litres/hr
Flow rate through pump B = 48/8 = 6 litres/hr
˜ 
  
.
Flow rate through pumps A, B, C together = 48/2 = 24 litres/hr
So, flow rate of pump C alone = 24 - (8+6) = 10 litres/hr
 Time taken by C alone to fill the tank = 48/10 = 4.8 hrs
4. A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is
started. At what time will the swimming pool be filled if pump B is started at 10 am?
A    11:20 a.m.
B    11:05 a.m.
C    11:10 a.m.
D    10:50 a.m.
A n s w e r : A
Explanation:
Let pool volume be 30 litres.
Flow rate through A = 30/3 = 10 litres/hr
Flow rate through B = 30/6 = 5 litres/hr
A is opened at 9:00am and then B is opened at 10:00 am. So, A alone fills the tank for an hour to 10 litres.
After 10:00am both are opened simultaneously.
Remaining 20 litres of the pool are filled at a combined flow rate of 15 litres/hr which takes 80 min to get filled.
 The pool is filled 80 mins after 10:00am i.e. 11:20am
    
5. The sum of prime numbers that are greater than 60, but less than 70 is :
A    128
B    191
C    197
D    260
A n s w e r : A
Explanation:
There are 2 prime nos. between 60 and 70 which are 61 and 67. Their sum is 128.
6. Find out the appropriate next number in the series from the options below :
0, 2, 6, 12, 20, 30, 42, ?
A    56
B    62
C    49
D    5
A n s w e r : A
Explanation:
In the given series, the difference between the terms is in A.P. with a common difference of 2. 
? 
? 
  
.
30-20 = 10
42-30 = 12
So, next term will be 42+14 = 56
7. A bakery opened with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 60% of the remaining rolls were
sold between noon and closing time. How many dozen rolls were left unsold?
A    6
B    8
C    10
D    12
A n s w e r : B
Explanation:
40% of remaining rolls (half of 40 dozen) were left unsold, which is 0.4 x 20 = 8 dozen rolls
    
8. Stuart, Jack and Leo are colleagues working in a plant. Stuart and Jack can do a work in 10 days, Jack and Leo can do the same
work in 15 days while Stuart and Leo can do it in 12 days. All of them started the work together. After two days, Leo was shifted
to some other work. How many days will Stuart and Jack take to finish the rest of the work?
A    9
B    12
C    8
D    7.5
A n s w e r : D
Explanation:
Let the total work be 120 units.
Let efficiencies of Stuart = s , Jack = j , Leo = l.
We know, Efficiency x Time = Work done.
Forming 3 eqns.:
s + j = 120 units/ 10 days = 12 units/day
j + l = 120 units/ 15 days = 8 units/day
s + l = 120 units/ 10 days = 10 units/day
On solving the above 3 eqns. , we get 
s = 7 units/day , l = 3 units/day , j = 5 units/day
All 3 start together but Leo leaves after 2 days.
(15 x 2) + (12 x n) = 120
=> n = 7.5 days
 To finish rest of the work, Stuart and Jack take 7.5 days.
9. The missing numbers in the below series would be
1 : 1, 8 : 4, 9 : 27, 64 : 16, 25 : 125, ? : ?, 49 : 343
? 
  
.
A    36 : 316
B    216 : 36
C    316 : 16
D    32 : 316
A n s w e r : B
Explanation:
1st term - 1^2:1^3
2nd term - 2^3:2^2
3rd term - 3^2:3^3 ...and so on. 
The missing term is 6^3:6^2
10. The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22.
What is the original number?
A    70
B    65
C    40
D    90
A n s w e r : C
Explanation:
Let the number be N.
1.25 N - 0.7 N = 22
=> N = 22/0.55 = 40
    
11. Running at the same constant rate, 6 identical machines can produce a total of 180 bottles per hour. How many bottles could 15
such machines produce in 30 minutes?
A    225
B    300
C    250
D    350
A n s w e r : A
Explanation:
Machines are identical. So, each machine produces 180/6 = 30 bottles/hr 
15 such machines will produce 450 bottles in an hour.
So, in 30 mins 15 machines will produce 225 bottles.
12. A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is :
A    240
  
.
B    
260
C    270
D    280
A n s w e r : D
Explanation:
Let the number be N.
(N/5) + 4 = (N/4) - 10
=> N = 280
13. Which of the following numbers will completely divide (461 + 462 + 463 + 464)?
A    3
B    10
C    11
D    13
A n s w e r : B
Explanation:
On adding the units digits of the numbers, we get sum as 10.
 The summation will be divisible by 10.
    
14. Is 'b' positive?
(I) a + b is positive.
(II) a - b is positive.
A    Statement I alone is sufficient to answer the question.
B    Statement II alone is sufficient to answer the question.
C    Both statements I and II together are necessary to answer the question.
D    Both statements I and II together are not sufficient to answer the question.
A n s w e r : D
Explanation:
Case 1 - b -> positive
Let a=10, b=1.
Here (a-b) and (a+b) both are positive.
Case 2 - b -> negetive
Let a=10, b= -1.
Here also (a-b) and (a+b) both are positive.
 Both statements I and II together are not sufficient to answer the question.
15. In a general body election, 3 candidates, P, Q and R were contesting for a membership of the board. How many votes did each
receive?
(I) p received 17 votes more than q and 103 votes more than r.
(II) Total votes cast were 1703.
? 
? 
  
.