HSSC PATWARI EXAM

Total Questions: 100

91. 1.086 - 0.3983 - 0.669=?

(1) 0.6208
(2) 1.3948
(3) 0.0048
(4) 0.0187

Correct Answer: (1) 0.6208

Solution:1.086-0.3983-0.669

⇒1.086 - (0.3983 + 0.669)

⇒1.086 - (0.4652) = 0.6208

92. A library has an average num- ber of 510 visitors on sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with sunday is:

(1) 300
(2) 290
(3) 285
(4) none of these

Correct Answer: (3) 285

Solution:There will be five Sundays Visitor in 5 Sunday

= 5 × 510 = 2550

Visitor on Remaining 25 days

= 25 × 240 = 6000

Average visitors everyday

= (2550 + 6000)/30 = 285

93. The sum of all odd numbers between 100 and 200 is:

(1) 6200
(2) 6500
(3) 7500
(4) 3750

Correct Answer: (3) 7500

Solution:Sn = 101 + 103 + 105 +.... + 199

This is Arithmetic Progression

a = 101, d = 2 ,l = tn = 199

a + (n - 1) × d = 199

⇒ 101 + (n - 1) × 2 = 199

⇒n = 50

Sn = n/2(a + 1) = 50 2 (101+199)

=50/2(300)

= 25 × 300 = 7500

Required sum = 7500

94. Himanshu does half as much work as Yogesh in three - fourth of the time. if together they take 18 days to complete the work, how much time shall Yogesh take to do it?

(1) 30 days
(2) 35 days
(3) 40 days
(4) None of these

Correct Answer: (1) 30 days

95. Two stations a and b are 110 km apart on a straight line. One train starts from a at 7 a.m. And travels towards bat 20 kmph. Another train starts from b at 8 a.m. And travels onwards at a speed of 25 kmph. At what time will they meet?

(1) 9 Α.Μ.
(2) 10 Α.Μ.
(3) 11 Α.Μ.
(4) 10.30 Α.Μ.

Correct Answer: (2) 10 Α.Μ.

Solution:Let both trains meet x hour later than 7 AM

distance covered by A in x hours = 20xkm Distance covered by B in (x- 1) hours.

= 25(x - 1) km

20x + 25(x - 1) = 110

45x = 110 + 25

45x = 135

x = 3

They meet at 10 AM.

96. 25/0.005 = ?

(1) 500
(2) 5000
(3) 2500
(4) 0.50

Correct Answer: (2) 5000

Solution:25/0.005 = 25/5 × 1000 = 5000

97. A man covers a distance from town a to town b on scooter at 30 kmph and rides back from b to a at 20 kmph. His average speed is

(1) 24 kmph
(2) 30 kmph
(3) 18 kmph
(4) None of these

Correct Answer: (1) 24 kmph

Solution:Average speed = (2xy)/(x + y) = (2 × 30 × 20)/(30 + 20) = 1200/50 = 24km / hr

98. Five numbers in geometric progression are such that their product is 32. Find the third number.

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

Correct Answer: (3) 2

Solution:Let the numbers are a/(r ^ 3) , a/r, a r ^ 3 then, a/(r ^ 3) × a/r × a×ar×a × r ^ 3 = 32

⇒ a ^ 5 = 32

⇒ a = 2

Third number a = 2

99. Twelve men can complete a work in 8 days. Three days after they started the work, 3 or more men joined. In how many days will all of them together complete the remaining work?

(1) 2
(2) 43
(3) 5
(4) 6

Correct Answer: (1) 2

Solution:1 day work by 12 men = 1/8

1 day's work by 1 man

= 1/8 × 1/12 = 1/96

3 day work by 12 men

= 1/8 × 3 = 3/8

Remaining work = 1 - 3/8 = 5/8

1 day's work by one man= 1/96

1 day's work by 15 men = 1/96 × 15 = 15/96

15/96 work's done in 1 day

5/8 work will be done= 5/8 × 96/15 = 12/3 = 4 days

100. Which of the following fractions is less than 7/8 and greater than 1/3?

(1) 1/4
(2) 23/24
(3) 11/12
(4) 17/24

Correct Answer: (4) 17/24

Solution:17/24 is smalles than 7/8 & bigger than 1/3

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