SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 31 January 2017"

Morning Shift (Quantitative Aptitude)

QID : 51 ­ Factorise x² + 3x ­ 18

Options:

1) (x+18)(x­1)

2) (x­1)(x+18)

3) (x+6)(x­3)

4) (x­6)(x+3)

Correct Answer: (x+6)(x­3)

QID : 52 ­ Rohit walks at 17 km/hr and Ruchira cycles at 22 km/hr towards each other. What was the distance between them when they started if they meet after 44 minutes?

Options:

1) 42.9 km

2) 35.8 km

3) 21.5 km

4) 28.6 km

Correct Answer: 28.6 km

QID : 53 ­ If sum of the roots of a quadratic equation is ­7 and product of the roots is 12. Find the quadratic equation.

Options:

1) x² + 7x + 12 = 0

2) x² ­ 7x + 12 = 0

3) x² ­ 7x ­ 12 = 0

4) x² + 7x ­ 12 = 0

Correct Answer: x² + 7x + 12 = 0

QID : 54 ­ 20% discount is offered on an item. By applying a promo code the customer wins 10% cash back. What is the effective discount?

Options:

1) 30.8 percent

2) 30 percent

3) 12 percent

4) 28 percent

Correct Answer: 28 percent

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QID : 55 ­ Reduce 2530/1430 to lowest terms.

Options:

1) 47/17

2) 23/13

3) 47/19

4) 29/17

Correct Answer: 23/13

QID : 56 ­ If 5x ­ 3 ≥ 3 + x/2 and 4x ­ 2 ≤ 6 + x; then x can take which of the following values?

Options:

1) 1

2) 2

3) ­1

4) ­2

Correct Answer: 2

QID : 57 ­ The first and last terms of an arithmetic progression are 32 and ­43. If the sum of the series is ­88, then it has how many terms?

Options:

1) 16

2) 15

3) 17

4) 14

Correct Answer: 16

QID : 58 ­ The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 18% per annum is Rs 81. The sum is  ...................

Options:

1) Rs 2500

2) Rs 5000

3) Rs 10000

4) Rs 7500

7500 洆

Correct Answer: Rs 2500

QID : 59 ­ In what ratio is the segment joining (12,­1) and (­3,4) divided by the Y­axis?

Options:

1) 4:1

2) 1:4

3) 4:3

4) 3:4

Correct Answer: 4:1

QID : 60 ­ The line passing through (4,3) and (y,0) is parallel to the line passing through (­1,­2) and (3,0). Find y?

Options:

1) ­1

2) ­2

3) 2

4) ­5

Correct Answer: ­2

QID : 61 ­ A bag has Rs 20 in the form of 1­rupee, 50­paise and 10­paise coins in the ratio of 2:3:5. Find the number of 50­paise coins.

Options:

1) 25

2) 10

3) 15

4) 5

Correct Answer: 15

QID : 62 ­ In a class of 60 students there are 33 girls. The average weight of these girls is 62 Kg and average weight of the full class is 66.5 kg. What is the average weight of the boys of the class?

Options:

1) 72 kg

2) 71 kg

3) 70 kg

4) 73 kg

Correct Answer: 72 kg

QID : 63 ­ When a number is increased by 32, it becomes 116% of itself. What is the number?

Options:

1) 384

2) 480

3) 200

4) 288

Correct Answer: 200

QID : 64 ­ If the sum of the measures of all the interior angles of polygon is 1800°, find the number of sides of the polygon?

Options:

1) 12

2) 14

3) 16

4) 8

Correct Answer: 12

QID : 65 ­ In an isosceles trapezium  ...................

Options:

1) Opposite sides are parallel

2) Opposite angles are supplementary

3) Opposite angles are not equal

4) Diagonals bisect opposite angles

Correct Answer: Opposite angles are supplementary

QID : 66 ­ P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together? P

Options:

1) 9 days

2) 27 days

3) 36 days

4) 18 days

Correct Answer: 18 days

QID : 67 ­ The total surface area of a hemisphere is 166.32 sq cm, find its curved surface area?

Options:

1) 221.76 sq cm

2) 36.96 sq cm

3) 110.88 sq cm

4) 55.44 sq cm

Correct Answer: 110.88 sq cm

QID : 68 ­ When a discount of 20% is given on a monthly train pass, the profit is 44%. If the discount is 29%, then the profit is  ...................

Options:

1) 73 percent

2) 118.2 percent

3) 17.4 percent

4) 27.8 percent

Correct Answer: 27.8 percent

QID : 69 ­ If tan ­5π/3 = x, then the value of x is

Options:

1) √3

2) 1

3) ­1/2

4) √3/2

Correct Answer: √3

QID : 70 ­ If sin(A/2) = x, then the value of x is

Options:

1) √[(1 + cosA)/2]

2) √[(1 ­ cosA)/2]

3) √[(1 ­ sinA)/2]

4) √[(1 + sinA)/2]

Correct Answer: √[(1 ­ cosA)/2]

QID : 71 ­ If cosAcotA/(1 ­ sinA) = x, then the value of x is

Options:

1) 1 ­ cosecA

2) 1 + cosecA

3) 1 + secA

4) 1 ­ secA

Correct Answer: 1 + cosecA

QID : 72 ­

Options:

1) 33 : 28

2) 33 : 34

3) 34 : 33

4) 28 : 33

Correct Answer: 28 : 33

QID : 73 ­

Options:

1) 49

2) 78

3) 53

4) 127

Correct Answer: 53

QID : 74 ­

Options:

1) $8.56 trillion

2) $7.44 trillion

3) $8.24 trillion

4) $8 trillion

Correct Answer: $8.56 trillion

QID : 75 ­

Options:

1) 53

2) 48

3) 43

4) 58

Correct Answer: 53

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