# Aptitude model placement papers with solution - set 8

## Aptitude model placement papers with solution - set 8

Q1. Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, how long will it take to fill the tank?

A. 9 min
B. 8 min
C. 4 min
D. 6 min

Solution: Tank can be filled by pipe A in 12 minutes and pipe B in 24minutes.

=> Part filled by A in 1 minute= 1/12

=> Part filled by B in 1 minute= 1/24

=> Part filled by both in 1 minute= 1/12 + 1/24

= 3/24=1/8

Time taken to fill the entire tank = 8 minutes

Q2. Solve the given equation for x:

(a/b) x-2 = (b/a) x-7
A. 3
B. 3.5
C. 4
D. 4.5

Solution

Use the formula, an= 1/a-n
(a/b) x-2=(b/a) x-7
(a/b) x-2=(a/b) -(x-7)

=> X-2 = - (x-7)

=> X-2 = -X +7

=> 2X = 9

=> X = 9/

=> X = 4.5

Thus, value of X is 4.5

Q3. What is the CP of Rs 100 stock at 4 discount, with 1/5% brokerage?

A. 99.6
B. 96.2
C. 97.5
D. 98.25

Solution
Use the formula,
CP= 100 – discount + brokerage%
CP= 100-4+1/5
96.2

Thus the CP is Rs 96.2.

Q4. 1 quarter Kg of potatoes cost 60 paise. Calculate the cost of 200 grams.

A. 48 paise
B. 62 paise
C. 54 paise
D. 26 paise

Solution

Let 200 gm potato cost X paise

According to question,
Cost of ¼ Kg potato = 60 Paise

=> Cost of 250 gm potato = 60 Paise

=> 1 Kg = 1000 gm

=> 1/4 Kg = 1000/4 gm = 250 gm

By direct proportion, more quantity, more cost
200 grams : 250 grams = X : 60

=> 200*60 = 250 X

=> 12000 = 250 X

=> X = 48

=> Thus, the cost of 200 grams is 48 paise.

Q5. FIND THE ODD NUMBER:

1,5,11,17,23,29

A. 29
B. 17
C. 11
D. 1

Solution:

All the given numbers are prime numbers.

1 is not a prime number because it is divisible by only one factor that is 1.

Q6. Find the missing number in the series.

2 , 3 , 6 , 0 , 10, -3 , 14...

A. 6
B. 2
C. -2
D. -6

Solution

There are two series in the question

1. Add 4 : 2+3 = 6, 6+4 = 10
2. Subtract 3 : 3-3 = 0, 0-3 - -3

Thus, following the series:
-3-3 = -6

Q7. How should we mix two rice packets to get one 1kg packet priced at Rs 8 when the prices of 1 kg packets of the two types are Rs 7.1 and Rs 9.2.

A. 4:3
B. 3:4
C. 4:5
D. 5:4

Q8. A dice is rolled twice. What is the probability of getting sum 9?

A. 2/3
B. 1/3
C. 1/9
D. 3/9

Solution

Possible event = 6*6 = 36

Favourable outcomes= {(3, 6), {4, 5}, {5, 4}, (6, 3)}

Thus probability; favourable/total
= 4/36

=> 1/9

Q9. When height of a tree is equal to the length of its shadow, what is the angle of elevation of the sun?

A. 30 deg
B. 60 deg
C. 90 deg
D. 45 deg

Q10. Simplify

(723+1992)2-(723-1992) 2 / (723×1992)

A. 4
B. 33
C. 6
D. 1

Solution

Use the formula

(a+b) 2=a2+2ab+b2
(a-b) 2=a2-2ab+b2

Solving, a2+b2+2ab- (a2+b2-2ab) / ab

=> a2+b2+2ab-a2-b2+2ab/ab

=> 4ab/ab

=> 4