# (Paper) Aptitude Questions and Answers ( Set - 1 )

# Aptitude Questions and Answers ( Set - 1 )

**If 2x-y=4 then 6x-3y=?**

(a)15

(b)12

(c)18

(d)10

Ans. (b)

**If x=y=2z and xyz=256 then
what is the value of x?**

(a)12

(b)8

(c)16

(d)6

Ans. (b)

**(1/10)18 - (1/10)20 = ?**

(a) 99/1020

(b) 99/10

(c) 0.9

(d) none of these

Ans. (a)

**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)

**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)

**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)

**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)

**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)

**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.

**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has been replaced by a young member.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.

**ABCE is an isosceles trapezoid and ACDE is a
rectangle. AB = 10 and EC = 20. What is the length of AE?**
Ans. AE = 10.

** 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.

**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.

**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.

**If Log2 x - 5 Log x + 6 = 0, then what would
the value / values of x be?**
Ans. x = e2 or e3.

**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

**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.

**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.

**What is the missing number in this series?**
8 2 14 6 11 ? 14 6 18 12

Ans. 9

**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.

**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.

**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.

**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.

**If it takes five minutes to boil one egg,
how long will it take to boil four eggs?**

Ans. Five minutes.

**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.

**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.

**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 %.

**Find the least value of 3x + 4y if x2y3 = 6.**

Ans. 10.

**Can you find out what day of the week was
January 12, 1979?**

Ans. Friday.

**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.

**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.