1. Each side of an
equilateral triangle is increased by 20%. The percentage increase in its area
is-
equilateral triangle is increased by 20%. The percentage increase in its area
is-
(a) 44%
(b) 42%
(c) 40%
(d) 46%
(e) None of these
2. The length of a
rectangular plot is 15 metres. If the cost of cultivating the plot at Rs. 13.20
per metres2 is Rs.5346. Find the breadth of plot.
rectangular plot is 15 metres. If the cost of cultivating the plot at Rs. 13.20
per metres2 is Rs.5346. Find the breadth of plot.
(a) 23 m.
(b) 25 m.
(c) 27 m.
(d) 29 m.
(e) 30 m.
3. A cistern is
constructed to hold 300 litres, and the base of the cistern is one square meter.
What is the depth of the cistern? (A cubic metre is equal to 1000 litres.)
constructed to hold 300 litres, and the base of the cistern is one square meter.
What is the depth of the cistern? (A cubic metre is equal to 1000 litres.)
(a) 35 cm.
(b) 30 cm.
(c) 40 cm.
(d) 45 cm.
(e) None of these
4. How many cubic
metres of the earth must be dug out to sink a well 22 m. deep. If the cost of
plastering the inner surface of the wall at Rs. 23.5 per square meter is Rs.
22748.
metres of the earth must be dug out to sink a well 22 m. deep. If the cost of
plastering the inner surface of the wall at Rs. 23.5 per square meter is Rs.
22748.
(a) 8338 m3
(b) 3838 m3
(c) 3883 m3
(d) 3388 m3
(e) None of these
5. Find the slant
height of a cone whose volume is equal to 3080 m3 and the diameter
of whose base is 28 m. (Ans. in approx. value)
height of a cone whose volume is equal to 3080 m3 and the diameter
of whose base is 28 m. (Ans. in approx. value)
(a) 18.5 m
(b) 20.5 m
(c) 23.5 m
(d) 26.5 m
(e) 29.5 m
6. The probability
that a leap year selected at random will contain either 53 Monday or 53 Tuesday
is-
that a leap year selected at random will contain either 53 Monday or 53 Tuesday
is-
(a) 1/7
(b) 2/7
(c) 3/7
(d) 4/7
(e) None of these
7. A book contains
1000 pages. A page is chosen at random. The probability that the sum of the
digits of the marked number on the page is equal to 9.
1000 pages. A page is chosen at random. The probability that the sum of the
digits of the marked number on the page is equal to 9.
(a) 19/200
(b) 17/200
(c) 13/200
(d) 11/200
(e) None of these
8. You are given a
box with 30 cards in it. 10 of these cards have letter ‘B’ printed on them. the
other ten have the letter “S” printed on them, and other ten have the
letter ‘C’ printed on them. If you pick up 3 cards at random and keep them. In
same order, the probability of making the word ‘BSC’ is-
box with 30 cards in it. 10 of these cards have letter ‘B’ printed on them. the
other ten have the letter “S” printed on them, and other ten have the
letter ‘C’ printed on them. If you pick up 3 cards at random and keep them. In
same order, the probability of making the word ‘BSC’ is-
(a) 25/609
(b) 25/690
(c) 28/290
(d) 25/87
(e) None of these
9. If the difference
between CI and SI on a certain sum of money for 3 years at 8% per annum is Rs.
308, find the sum.
between CI and SI on a certain sum of money for 3 years at 8% per annum is Rs.
308, find the sum.
(a) Rs. 15562
(b) Rs. 16255
(c) Rs. 15625
(d) Rs. 16525
(e) None of these
10. The simple
interest on sum of money will be Rs. 200 after 4 years. In next 8 years
principal becomes tripled. What will be the total interest at the end of the 12
year?
interest on sum of money will be Rs. 200 after 4 years. In next 8 years
principal becomes tripled. What will be the total interest at the end of the 12
year?
(a) Rs. 1200
(b) Rs. 1400
(c) Rs. 800
(d) Rs. 1000
(e) None of these
11. Om buys rice for Rs.
2500. He sells 2/5 of it at a profit of 10% at what per
cent loss should he sell remaining 3/5. So as to make
no profit on loss on the whole transaction?
2500. He sells 2/5 of it at a profit of 10% at what per
cent loss should he sell remaining 3/5. So as to make
no profit on loss on the whole transaction?
(a) 6 2/3 %
(b) 5 3/4 %
(c) 4 1/3 %
(d) 6 1/3 %
(e) None of these
12. Strawberries are
bought at 10 for a rupee and an equal number more at 15 for a rupee. If these
are sold at 11 for a rupees. Find the loss or gain percent.
bought at 10 for a rupee and an equal number more at 15 for a rupee. If these
are sold at 11 for a rupees. Find the loss or gain percent.
(a) 8 1/3% loss
(b) 12 1/2% profit
(c) 11 1/9% loss
(d) 9 1/11 % profit
(e) None of these
13. An article is
sold at 20% profit. If its CP and SP are increased by Rs. 15 and Rs. 10 respectively,
the percentage of profit decreases by 5%. Find the cost price.
sold at 20% profit. If its CP and SP are increased by Rs. 15 and Rs. 10 respectively,
the percentage of profit decreases by 5%. Find the cost price.
(a) Rs. 140
(b) Rs. 145
(c) Rs. 150
(d) Rs. 160
(e) None of these
14. Sudeep sells his
goods at a profit of 12% and uses a weight which is 8% less. Find his total
percentage gain-
goods at a profit of 12% and uses a weight which is 8% less. Find his total
percentage gain-
(a) 21 17/23 %
(b) 23 17/21 %
(c) 17 21/23 %
(d) 19 17/21 %
(e) None of these
15. If the ratio of
the ages of Virat and Rahul at present is 4 : 5. 9 years ago, the ratio of
their ages was 3 : 4. What is the sum of the present age of Virat and Rahul.
the ages of Virat and Rahul at present is 4 : 5. 9 years ago, the ratio of
their ages was 3 : 4. What is the sum of the present age of Virat and Rahul.
(a) 75 years
(b) 79 years
(c) 81 years
(d) 85 years
(e) None of these
16. The average age of
a husband and wife was 26 years, when they were married 3 years ago. The
average age of the husband, the wife and a child who was born during the
interval, is 20 years now. How old is the child now?
a husband and wife was 26 years, when they were married 3 years ago. The
average age of the husband, the wife and a child who was born during the
interval, is 20 years now. How old is the child now?
(a) 1 1/2 years
(b) 2 years
(c) 2 1/2 years
(d) 1/2 years
(e) None of these
17. How many seconds
will a train 70 m in length travelling at the rate of 48 km./h, take in passing
another train 55 m. long proceeding in the same direction at the rate of 33
km./h?
will a train 70 m in length travelling at the rate of 48 km./h, take in passing
another train 55 m. long proceeding in the same direction at the rate of 33
km./h?
(a) 30 sec.
(b) 35 sec.
(c) 33 sec.
(d) 38 sec.
(e) None of these
18. A can do a piece
of work in 20 days and B can do it in 25 days. How long will they take if both
work together?
of work in 20 days and B can do it in 25 days. How long will they take if both
work together?
(a) 9 1/11 days
(b) 8 1/2 days
(c) 7 1/7 days
(d) 11 1/9 days
(e) None of these
19. Rohit can row
downstream at the rate of 131 km. an hour and upstream at 4 km/h. Find man’s
rate in still water.
downstream at the rate of 131 km. an hour and upstream at 4 km/h. Find man’s
rate in still water.
(a) 8 km./h.
(b) 8.5 km/h
(c) 9 km/h
(d) 7 km./h
(e) None of
these
these
20. Two cars run to a
place at the speeds of 24 km/h and 30 km/h respectively. If the second car takes
3 hrs less than the first for the journey. Find the length of the journey.
place at the speeds of 24 km/h and 30 km/h respectively. If the second car takes
3 hrs less than the first for the journey. Find the length of the journey.
(a) 360 km.
(b) 380 km.
(c) 420 km.
(d) 540 km.
(e) None of
these
these
