Instructions

For the following questions answer them individually

Question 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?

Video Solution

Solution

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 $$\approx\ $$ Rs.6364

Question 2

Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?

Video Solution

Solution

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.

Question 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?

Video Solution

Solution

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

$$\therefore\ $$ Time taken by C alone to fill the tank = 48/10 = 4.8 hrs

Question 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?

Video Solution

Solution

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.

$$\therefore\ $$ The pool is filled 80 mins after 10:00am i.e. 11:20am

Question 5

The sum of prime numbers that are greater than 60, but less than 70 is :

Video Solution

Solution

There are 2 prime nos. between 60 and 70 which are 61 and 67. Their sum is 128.

Question 6

Find out the appropriate next number in the series from the options below :
0, 2, 6, 12, 20, 30, 42, ?

Video Solution

Solution

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

Question 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?

Video Solution

Solution

40% of remaining rolls (half of 40 dozen) were left unsold, which is 0.4 x 20 = 8 dozen rolls

Question 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?

Video Solution

Solution

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

$$\therefore\ $$ To finish rest of the work, Stuart and Jack take 7.5 days.

Question 9

The missing numbers in the below series would be
1 : 1, 8 : 4, 9 : 27, 64 : 16, 25 : 125, ? : ?, 49 : 343

Video Solution

Solution

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

Question 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?

Video Solution

Solution

Let the number be N.

1.25 N - 0.7 N = 22

=> N = 22/0.55 = 40

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SNAP 2010 Question Paper

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?

Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?

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 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?

The sum of prime numbers that are greater than 60, but less than 70 is :

Find out the appropriate next number in the series from the options below :
0, 2, 6, 12, 20, 30, 42, ?

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?

The missing numbers in the below series would be
1 : 1, 8 : 4, 9 : 27, 64 : 16, 25 : 125, ? : ?, 49 : 343

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?

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