Aptitude model placement papers with solution - set 8

ANSWER: B. 8 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

ANSWER: 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

ANSWER: B. 96.2

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

Thus the CP is Rs 96.2.

ANSWER: A. 48 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.

ANSWER: 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.

ANSWER: 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

ANSWER: A. 4:3

ANSWER: C. 1/9

Solution

Possible event = 6*6 = 36

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

Thus probability; favourable/total
= 4/36

=> 1/9

ANSWER: D. 45 deg

ANSWER: A. 4

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