Haryana Station Supervisor Exam, 2016

Total Questions: 100

21. Two shopkeepers sell a radio of the same brand for 1000, the shopkeeper has given two successive discounts of 20% and 10% and the second shopkeeper gives two successive discounts of 15%. Find the difference between the dis-counts given by both the shopkeepers.

(1) 3.50
(2) `1.50
(3) 2.50
(4) None of these

Correct Answer: (3) 2.50

Solution:SP of first shopkeeper = 10% of 20% of 1000 = 1000 * 80/100 * 90/100 =Rs.720

SP of second shopkeeper 15% of 15% of 1000 = 1000 * 85/100 * 85/100 = Rs.722.50

Cost difference = 722.50-720 = Rs. 2.50

22. How many natural numbers are there between 23 and 100 which are exactly divisible by 6?

(1) 8
(2) 11
(3) 12
(4) 13

Correct Answer: (4) 13

Solution:24, .............96

tn =a+(n-)d a = 24; d = 6

⇒ 96 = 24 + (n - 1)6 n = ?

⇒ (n - 1)6 = 72

⇒n - 1 = 72

n = 13

23. The greatest number of four digits which is divisible by 15. 25, 40, and 75 is-

(1) 9000
(2) 9400
(3) 9600
(4) 9800

Correct Answer: (3) 9600

Solution:Greatest four digit number = 9999

L.C.M of 15, 25, 40, 75 = 600

When 9999 is divided by 600 Remainder = 399

∴ Required number = 9999-399 = 9600

24. The percentage increased in the area of a rectangle, if each of its sides is increased by 20% is.

(1) 40%
(2) 42%
(3) 44%
(4) 46%

Correct Answer: (3) 44%

Solution:Length of a rectangle = a cm.

width = b cm.

Area = ab cm2

new length = a cm x 120% = (6a)/5 cm

new width = b cm x 120% = (6b)/5 cm

new area = {6a/5 *6b/5} cm² = (36ab)/25 cm²

increase in area

= {36ab/25 - ab} cm²

= 11ab/25 cm²

increase in area %

= {11ab/25 * 1/ab * 100} % = 44%

25. If a person walks at 14 km/h instead of 10 km/hr. he would walk 20 km more. Find the actual distance walked by that person.

(1) 50 km
(2) 56 km
(3) 70 km
(4) 80 km

Correct Answer: (1) 50 km

Solution:Let original distance = x km.

According to the question,

x/10 = (x + 20)/14

⇒14x = 10x + 200

⇒4x = 200

⇒ x = 50km .

26. In how many different ways can the letters of the word LEADING' be arranged in such a way that the vowels always come together?

(1) 360
(2) 480
(3) 720
(4) 5040

Correct Answer: (3) 720

Solution:There are 7 letters, out of them A,E,I are vowels.

Let (LDNG) a single letter + 5 letters of A.Ε.Ι. ∴5¡=120

words can be made.

27. solve it ?

(1) 0
(2) 2
(3) 4
(4) 16

Correct Answer: (4) 16

Solution:

28. Two dice are thrown simultaneously. What is the probability of getting two numbers whose products is even?

(1) 1/2
(2) 3/4
(3) 3/8
(4) 5/16

Correct Answer: (2) 3/4

Solution:n(s) = (6 * 6) = 36

E= (1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 5), (2, 6), (3, 2), (3, 4), (3, 6), (4, 1), (4, 2), (4, 3), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

n(E) = 27

⇒ P(E) = n(E)/n(S) = 27/36 = 3/4

29. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes. Pipe A is turned off. What is the total time required to fill the tank?

(1) 10m 20s
(2) 11m 45s
(3) 12m 30s
(4) 14m 40s

Correct Answer: (4) 14m 40s

Solution:Work of 1 minute by (A+B) = 1/15 + 1/20 = 7/60

Work of 4 minutes by (A + B) = 7/60 * 4 = 7/15

Remainder = 1 -7/15 = 8/15

Second pipe to fill 1/20 part= 1 minute

Time taken by second pipe to fill 8/15 part

= 20 * 8/15 = 32/5

= 10 min 40 sec

total time

= (4 minute + 10 minute 40 sec)

= 14 minute 40 second

30. A fort had a provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last.

(1) 146/5
(2) 149/4
(3) 42
(4) 54

Correct Answer: (3) 42

Solution:There was provision for (45 - 10) = 35

let 125 person can consume x days.

less person more day

125: 150:: 35: x

⇒125 * x = 150 x 35

⇒ x = 150 × 35 /125 = 42 days

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