SSC CHSL (Tier - 1) Online Exam Paper - 2017 "held on 20 March 2018"

Morning-Shift (Quantitative Aptitude)

QID : 1 - In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.

Options:

1) 15/16
2) 14/16
3) 11/16
4) 9/16

Correct Answer: 11/16

QID : 2 -

Options:

1) 3573
2) 4096
3) 3378
4) 3374

Correct Answer: 3374

QID : 3 -

Options:

1) 1
2) 3
3) 5
4) 7

Correct Answer: 3

QID : 4 -

Options:

1) 16
2) 24
3) 36
4) 48

Correct Answer: 24

QID : 5 - Calculate the ratio of the area of two similar triangles if the sides of the triangles are in the ratio of 9:4.

Options:

1) 9:4
2) 3:2
3) 81:16
4) 27:8

Correct Answer: 81:16

QID : 6 - Which of the following represents the sides of an acute angled triangle?

Options:

1) 6, 9, 16
2) 7, 8, 10
3) 5, 12, 13
4) None of these

Correct Answer: 7, 8, 10

QID : 7 - Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?

Options:

1) 1521
2) 1471
) 1641
4) 1419

Correct Answer: 1521

QID : 8 - If 4/7 of P is equal to 12/14 of Q, then what is P : Q?

Options:

1) 15 : 8
2) 14 : 9
) 7 : 8
4) 3 : 2

Correct Answer: 3 : 2

QID : 9 - In what ratio wheat costing Rs 17/kg mixed with another wheat costing Rs 12/kg to get a mixture costing Rs 13.5/ kg?

Options:

1) 1 : 2
2) 2 : 5
3) 3 : 7
4) 4 : 9

Correct Answer: 3 : 7

QID : 10 - Average age of 5 students of a school is 14 years. The average age of students and their Mathematics and science teachers is 30 years. If the age of science teacher is 6 years more than the age of Mathematics teacher, then what is the age (in years) of Mathematics teacher?

Options:

1) 67
2) 68
3) 56
4) 74

Correct Answer: 67

QID : 11 - A sum of Rs 6000 becomes Rs 7200 in 2 years, when invested in a scheme of simple interest. If the same sum is invested in a scheme of compound interest with same yearly interest rate (compounding of interest is done yearly), then what will be the amount (in Rs) after 3 years?

Options:

1) 7434
2) 8244
3) 7864
4) 7986

Correct Answer: 7986

QID : 12 - Vinay professes to lose 4% on sugar and uses a weight of 620 gm instead of 1 kg. What is the total profit percentage?

Options:

1) 44.24
2) 34.14
3) 35.41
4) 54.84

Correct Answer: 54.84

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QID : 13 - Two successive discounts of 10% and 25% are given by Raman on a shirt. If the marked price of the shirt is Rs 600, then what is the value (in Rs) of discount?

Options:

1) 195
2) 185
3) 155
4) 135

Correct Answer: 195

QID : 14 - What is the square root of (√5 + 2)/(√5 – 2)?

(√5 + 2)/(√5 – 2) का वर्गमूल क्या है?

Options:

1) √5 – √4
2) √5 + 2
3) 5 + √2
4) 7

Correct Answer: √5 + 2

QID : 15 - P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

Options:

1) 18
2) 25
3) 24
4) 21

Correct Answer: 25

QID : 16 - A girl walking at the speed of 2 km/hr covers a certain distance in 7 hours 30 minutes. If she covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of cycle?

Options:

1) 2.5
2) 4
3) 3
4) 3.5

Correct Answer: 3

QID : 17 -

Which country has the second highest population?

Options:

1) B
2) D
3) E
4) A

Correct Answer: B

QID : 18 -

What is the ratio of population of country A to that of country G?

Options:

1) 13 : 10
2) 10 : 13
3) 5 : 13
4) 13 : 5

Correct Answer: 10 : 13

QID : 19 -

Population of country E is greater than that of country A by ___________.

Options:

1) 200%
2) 100%
3) 50%
4) 150%

Correct Answer: 100%

QID : 20 -

If country D spends $120 per person on health annually, then how much does it spend (in $ millions) on health on its entire population?

Options:

1) 6000
2) 600
3) 2400
4) 240

Correct Answer: 6000

QID : 21 - The length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively. Find its area (in cm2).

Options:

1) 240
2) 120
3) 80
4) 160

Correct Answer: 120

QID : 22 - If the measure of the interior angle of a regular polygon is 120o then how many sides does it have?

Options:

1) 6
2) 8
3) 9
4) 10

Correct Answer: 6

QID : 23 - Find the total surface area (in cm2) of a hemisphere of diameter 21 cm.

Options:

1) 1039.5
2) 844.5
3) 637
4) 472

Correct Answer: 1039.5

QID : 24 - What is the value of (sin45o - √3) ?

Options:

1) (1-√6)/√2
2) (4-√3)/2√3
3) -1/2√3
4) (2-√3)/2√3

Correct Answer: (1-√6)/√2

QID : 25 - In ∆DEF measure of angle E is 90o. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?

Options:

1) 34
2) 15
3) 30
4) 14

Correct Answer: 30

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