1.If 2x-y=4 then
6x-3y=?
(a)15
(b)12
(c)18
(d)10
Ans. (b)
2.If x=y=2z and
xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6
Ans. (b)
3.
(1/10)18
- (1/10)20 = ?
(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these
Ans.
(a)
4.Pipe A can fill in
20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If
all of them work together, find the time taken to fill the tank
(a) 17 1/7
mins
(b) 20 mins
(c) 8 mins
(d) none of these
Ans.
(a)
5.
Thirty
men take 20 days to complete a job working 9 hours a day.How many hour a day
should 40 men work to complete the job?
(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs
Ans.
(b)
6.
Find
the smallest number in a GP whose sum is 38 and product 1728
(a) 12
(b) 20
(c) 8
(d) none of these
Ans.
(c)
7.
A boat
travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed
of the boat in still water and the speed of the water current?
(a) 1/2
kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these
Ans.
(b)
8.
A goat
is tied to one corner of a square plot of side 12m by a rope 7m long.Find the
area it can graze?
(a) 38.5
sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m
Ans.
(a)
9. Mr. Shah decided
to walk down the escalator of a tube station. He found that if he walks
down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps
down 34 stairs he would only require 18 seconds to get to the bottom. If the
time is measured from the moment the top step begins to descend to the
time he steps off the last step at the bottom, find out the height of the stair
way in steps?
Ans.46
steps.
10.
The
average age of 10 members of a committee is the same as it was 4 years ago,
because an old member has been replaced by a young member. Find how much
younger is the new member ?
Ans.40
years.
11.
Three
containers A, B and C have volumes a, b, and c respectively; and container A is
full of water while the other two are empty. If from container A water is
poured into container B which becomes 1/3 full, and into container C which
becomes 1/2 full, how much water is left in container A?
12. ABCE
is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is
the length of AE?
Ans.
AE = 10.
13. In the given
figure, PA and PB are tangents to the circle at A and B respectively and
the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent
AP is 9 cm, then what is the length of the chord BC?
Ans.
BC = 4 cm.
15 Three cards are
drawn at random from an ordinary pack of cards. Find the probability that they
will consist of a king, a queen and an ace.
Ans.
64/2210.
16. A number of cats
got together and decided to kill between them 999919 mice. Every cat
killed an equal number of mice. Each cat killed more mice than there
were cats. How many cats do you think there were ?
Ans.
991.
17. If Log2 x - 5 Log
x + 6 = 0, then what would the value / values of x be?
Ans.
x = e2 or e3.
18. The square of a
two digit number is divided by half the number. After 36 is added to the
quotient, this sum is then divided by 2. The digits of the resulting number are
the same as those in the original number, but they are in reverse order.
The ten's place of the original number is equal to twice the difference
between its digits. What is the number?
Ans.
46
19.Can you tender a
one rupee note in such a manner that there shall be total 50 coins but
none of them would be 2 paise coins.?
Ans.
45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five
paise coins.
20.A monkey starts
climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How
much time would it take the monkey to reach the top?
Ans.18
hours.
21. What is the
missing number in this series? 8 2 14 6 11 ? 14 6 18 12
Ans.
9
22.
A
certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand
B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of
brand A are needed to make 40kgs. of the mixture?
Ans.
Brand A needed is 24kgs.
23.
A
wizard named Nepo says "I am only three times my son's age. My father
is 40 years more than twice my age. Together the three of us are a mere
1240 years old." How old is Nepo?
Ans.
360 years old.
24.
One
dog tells the other that there are two dogs in front of me. The other one also
shouts that he too had two behind him. How many are they?
Ans.
Three.
25. A man ate 100
bananas in five days, each day eating 6 more than the previous day. How many
bananas did he eat on the first day?
Ans.
Eight.
26.
If it
takes five minutes to boil one egg, how long will it take to boil four eggs?
Ans.
Five minutes.
27. The minute hand of
a clock overtakes the hour hand at intervals of 64 minutes of correct
time. How much a day does the clock gain or lose?
Ans.
32 8/11 minutes.
28. Solve for x and y:
1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
Ans.
x = 3/2 or -3 and y = 3 or -3/2.
29. Daal is now being
sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much
percent should a family reduce its consumption so as to keep the
expenditure fixed?
Ans.
20 %.
30. Find the least
value of 3x + 4y if x2y3 = 6.
Ans.
10.
31. Can you find out
what day of the week was January 12, 1979?
Ans.
Friday.
32. A garrison of 3300
men has provisions for 32 days, when given at a rate of 850 grams per head. At
the end of 7 days a reinforcement arrives and it was found that now the
provisions will last 8 days less, when given at the rate of 825 grams per head.
How, many more men can it feed?
Ans.
1700 men.
33. From 5 different
green balls, four different blue balls and three different red balls,
how many combinations of balls can be chosen taking at least one green
and one blue ball?
Ans.
3720.
34. Three pipes, A, B,
& C are attached to a tank. A & B can fill it in 20 & 30
minutes respectively while C can empty it in 15 minutes. If A, B & C
are kept open successively for 1 minute each, how soon will the tank be filled?
Ans.
167 minutes.
35.
A
person walking 5/6 of his usual rate is 40 minutes late. What is his usual
time? Ans. 3 hours 20 minutes.