1. The average age of P, Q and R is 5 yr more than R’s age. If the total ages of P and Q together is 39 yr, then R’s age is
(a) 16 yr
(b) 14 yr
(c) 12 yr
(d) 24 yr
2. The least number by which 20184 must be multiplied, so as to make the product a perfect square is
(a) 5
(b) 6
(c) 2
(d) 3
3. Two pipes A and B can separately fill a tank in 2 h and 3 h respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in
(a) 1 h 15 min
(b) 1 h 20 min
(c) 1 h 12 min
(d) 2 h 30 min
4. A bicycle wheel has a diameter (including the tyre) of 56 cm. The number of times the wheel will rotate to cover a distance of 2.2 km is (Assume π=22/7)
(a) 1875
(b) 2500
(c) 625
(d) 1250
5. The average of two numbers is 8 and that of another three numbers is 3. The average of those five numbers is
(a) 6
(b) 5
(c) 7
(d) 5.5
6. A merchant loses 10% by selling an article. If the cost price of the article is Rs. 15, then the selling price of the article is
(a) Rs.12.30
(b) Rs.13.50
(c) Rs.13.20
(d) Rs.16.50
7. Yogita sold a plasma TV at 20% gain to Shyamla. Shyamla sold it to Deepa at 10% profit. If Deepa had to pay Rs. 33000 for the plasma TV, find the cost price of the plasma TV for Yogita.
(a) Rs. 35000
(b) Rs. 40000
(c) Rs. 30000
(d) Rs. 25000
8. At an election there were two candidates. A candidate got 38% vote and lost by 7200 number of votes. The total number of valid votes were
(a) 16200
(b) 30000
(c) 13000
(d) 13800
9. A car travels at a speed of 60 km/h and covers a particular distance in 1h. How long will it take for another car to cover the same distance at 40 km/hr?
(a) 3/2 h
(b) 1 h
(c) 5/2 h
(d) 2 h
10. The compound interest on a sum of money for 2 yr is Rs. 615 and the simple interest for the same period is Rs. 600. Find the principal.
(a) Rs. 8000
(b) Rs. 9500
(c) Rs. 6500
(d) Rs. 6000
Answers and Solution:
1.(c)
Let the age of P = x yr.
Age of Q = y yr and age of R = z yr
Now, (x+y+z)/3 = z+5
=> x+y - 2z = 15 .... (i)
and x+y = 39 .... (ii)
on solving Eqs.(i) and (ii), we get
z = 12 yr
2. (b)
3. (c)
pipe A fills a tank in 1 h = 1/2
pipe B fills a tank in 1 h = 1/3
Both pipe can fill a tank in 1 h = 1/2 + 1/3 = 5/6
So,both pipe can fill an empty tank = 6/5 h = 1 h 12 min
4. (d)
5. (b)
6. (d)
7. (d)
8. (b)
9. (a)
10. (d)
1.(c)
Let the age of P = x yr.
Age of Q = y yr and age of R = z yr
Now, (x+y+z)/3 = z+5
=> x+y - 2z = 15 .... (i)
and x+y = 39 .... (ii)
on solving Eqs.(i) and (ii), we get
z = 12 yr
2. (b)
3. (c)
pipe A fills a tank in 1 h = 1/2
pipe B fills a tank in 1 h = 1/3
Both pipe can fill a tank in 1 h = 1/2 + 1/3 = 5/6
So,both pipe can fill an empty tank = 6/5 h = 1 h 12 min
4. (d)
5. (b)
6. (d)
7. (d)
8. (b)
9. (a)
10. (d)
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