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1. There are 4 containers W, X, Y and Z,
each of which can hold a maximum quantity of 200 kg of a particular item.
Container W has 40% more than X, X has 40% more than Y and Y has 30% less than
Z. If W has 102.9 kg of contents, then what percentage of full quantity did Z
has?
a) 37.5% b) 12.9% c) 45.8% d) 82.4%
2. A can write 3 notebooks in 48 days and B can write 4 notebooks in 48
days. If, with the help of their friend C, they write 5 notebooks in 20 days,
then C alone can write 5 notebooks in:
a) 42 days b) 48 days c) 36 days d) 38 days.
3. A can complete 1/8 of a piece of work in 5 hours; B can complete 80% of
the same piece of work in 3 (1/3) days and C can complete 2/3 of the work in 1(1/12)
days. Who is the fastest worker?
a) A b) B c) C d) B and C
4. The face of the square and an equilateral triangle are equal with 12
inches.Find the quantitative relation of their area.
a) 3:4 b) 2:3 c) 4:sqrt3 d) 2:sqrt3
5. If 1 can of pure milk is to be mixed with 3 cans of water to make coffee
then how many six litre can of pure milk are needed to prepare hundred servings
of 3 litre of coffee?
a) 12 b) 13 c) 14 d) 15
6. 6 times square of an integer when diminished by 8 times, the number
obtained is 105 more than the integer. Then our integer is:
a) 4 b) 11 c) 5 d) 9
7. If 14p0p0p4 which is a 8 digit number and is divisible by 12 then the
number of possible values of p is:
a)3 b)5 c)4 d)2
8. Mr.P, Mr.Q and Mr.R takes a project and they can complete in 36 hours, 54
hours and 72 hours respectively. Unfortunately Mr.P met an accident and left from
the project 8 hours before the completion while Mr.Q left 12 hours before the
completion. Then for how many hours did Mr.R worked?
a) 24 hours b) 18 hours c) 42 hours d) 36 hours.
9. In a team , the ratio of number of juniors and seniors is 7:8. If 52 juniors
and 13 seniors are added, the ratio becomes 11:9.Find the number of juniors
initially in the team.
a)91 b)99 c)77 d)71
10. Three numbers are in the ratio 2:3:5. If the sum of the new numbers
which are formed by increasing 15%, 10% and 20% of old numbers respectively is
9860. Then what will be 2nd number before increasing?
a)8500 b)6875 c)2550 d)none of these
11. There is a square shaped metal sheet of area 784 sq.cm. If four equal
sized maximum round shaped plates are cut off from the metal sheet then the area
of each plate is:
a) 154 sq.cm b) 308 sq.cm c) 218 sq.cm d) 174 sq.cm
12. A chocolate maker has to make 25 pieces each of length 3cm from a square
shaped bar of length 75cm. If he takes 5 seconds to cut a single piece,then the
time(seconds) taken to make 25 pieces is:
a) 125 b)120 c)115 d)110
13. There are 4 cups of tea. The average temperature of first 3 cups is 84
degree Celsius and that of last three cups is 80 degree. The temperature of
last one is 5/7 th of the first one. Then the temperature of the last one is
a) 30 b) 29 c) 30.5 d) 32
14. A circle has 4 equal-length chords such that the points of intersection
form a square and the diagonals of the square are the diameter of the circle,
the number of points equidistant from all the 4 chords is
a)1 b)2 c) 0 d) 4
15 .4 equal aged boys and 6 equal aged girls were regularly attending a
guitar class. 22 is the average age of all and 56 is the age of two boys and
three girls. After 3 years a boy is replaced by a new boy aged 15. Now, what
will be the average age of boys?
a) 13.5 years b) 15.4years c) 16.3 years d) 14 years
16. There are three brothers x,y and z. If z's age is as much more than y's
as y's age is more than x's age, find by how much percentage y is older than x.
Hints: Age of z is 20 and y is 5 years older than x.
a. 100% b. 50% c. 25% d. 75%
17. The perimeter of a square and a rectangle is the same. If the rectangle
is 12 cms. by 10 cms., then by what percentage is the area of the square more
than that of the rectangle?
a) 1 b) 3 c) 5/6 d) 1/2
18. Capacity of a cylindrical vessel is 25,872 litres. If the height of the
cylinder is 200% more than the radius of its base, what is the area of the base
in square cms?
a) 336 b) 1232 c) 616 d) cannot be determined
19.Find the ratio of the volumes of a sphere and cone of same radius. Also
the height of the cone is twice its radius.
a.3 : 1 b. 4 : 3 c. 4 : 1 d. 2 : 1
20.John is 100% older than Johan. 20 years hence, John will be 50% older
than Johan. Can you find their ages.
a. 30,20 b. 40,20 c. 60,40 d. 50,10
21. A can complete 1/8 of a piece of work in 5 hours; B can complete 80% of
the same piece of work in 3 1/3 days and C can complete 2/3 of the work in 1
1/12 days. Who is the fastest worker?
a) A b) B c) C d) B and C
22. The area of a triangle and circle are equal.If the radius of the circle
is 6 cm and height of the triangle is 7 cm then the length of the base of the
triangle is:
a) 32.32 cm b) 28.12 cm c) 19.19 cm d) 27.27 cm
23. Ravi had a habit of saving coins given by his mother. He achieved in his
objective of saving coins amounting to Rs.50. He had ten 1 rupee coins. The
ratio of the number of 25 paise coins to that of 50 paise coins was 10/3. Can
you find the number of 25 paise coins he had.
a) 100 b) 105 c) 95 d) 98
24. Rajesh is supposed to walk from his house to park every morning. One
morning, he is in real hurry and wants to save at least 1/3rd of the time. By
how much percentage he should increase his speed.
a. 100% b. 33% c. 66% d. 50%
25. 5 Men are living in a home. The average age of the five men before 5
years was 55. After P years, one new man aged 50 joins with others in the house
which makes the average age 60. Find the value of P.
a) 4 b) 3 c) 2 d)7
26. Monisha was seven times as old as her daughter Mercy eight years ago.
Now three times Mercy’s age is her mother age. Before how many years the ratio
of their ages (ratio of mother's age to Mercy's age) will be increased by 1
from the current ratio
a.5 b) 4 c) 8 d) none of these.
27. The
value of tan6 20° – 33 tan4 20° + 27 tan2 20°
is :
(a)
2 (b) 3 (c) 4 (d) 5
28. If
x sin3 q + ycos3 q = sin qcos q and x sin q = ycos q ,
then
x2 + y2 =
(a)
1 (b) 2 (c) 0 (d) None
29. If
cos A + cos2 A = 1, then sin2 A + sin4 A = ?
(a)
– 1 (b) 0 (c) 1 (d) None of these
30. The
correct value of the parameter ‘t’ of the identity
2(
sin6x + cos6x) + t (sin4x + cos4x)
= –1 is:
(a)
0 (b) –1 (c) –2 (d) –3
