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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 27 January 2017" Morning Shift (Quantitative Aptitude)

SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 27 January 2017"

Morning Shift (Quantitative Aptitude)

QID : 51 - A student multiplied a number by 6/7 instead of 7/6. What is the percentage error in the calculation?

Options:

1) 36.11 percent

2) 26.53 percent

3) 13.27 percent

4) 18.06 percent

Correct Answer: 26.53 percent

QID : 52 - If 3x + 4(1-x) > 5x -2 > 3x - 4; then the value of x is

Options:

1) 2

2) -2

3) 0

4) -3

Correct Answer: 0

QID : 53 - If cos 135° = x, then the value of x is

Options:

1) -1/√2

2) -√3/2

3) -1/2

4) 2

Correct Answer: -1/√2

QID : 54 - A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be

required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

Options:

1) 1478.4 sq mts

2) 2217.6 sq mts

3) 369.6 sq mts

4) 739.2 sq mts

Correct Answer: 739.2 sq mts

QID : 55 - If 2 shirts are offered free on purchase of 3 shirts priced Rs 600 each, then what will be the effective discount on each shirt?

Options:

1) 30 percent

2) 66.67 percent

3) 40 percent

4) 25 percent

Correct Answer: 40 percent

QID : 56 - A rice trader buys 12 quintals of rice for Rs

1,870. 15% rice is lost in transportation. At what rate should he sell to earn 20% profit?

Options:

1) Rs 110.3 per quintal

2) Rs 187 per quintal

3) Rs 220 per quintal

4) Rs 224 per quintal

Correct Answer: Rs 220 per quintal

QID : 57 - By increasing the price of entry ticket to a fair in the ratio 13:16, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

Options:

1) decreased in the ratio 144:143

2) increased in the ratio 117:176

3) increased in the ratio 143:144

4) decreased in the ratio 176:117

Correct Answer: increased in the ratio 143:144

QID : 58 - Simplify 486b³x²a⁴z³/27a³b²z

Options:

1) 18bx²az²

2) 18bx²a²z

3) 36ba²z

4) 36bxa²z

Correct Answer: 18bx²az²

QID : 59 - Reflection of the point (4,-5) in the y-axis is

Options:

1) (4,5)

2) (-4,-5)

3) (4,-5)

4) (-4,5)

Correct Answer: (-4,-5)

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QID : 60 - What is the value of 5/9 + 7/8?

Options:

1)103/72

2)97/42

3)12/17

4)15/13

Correct Answer: 103/72

QID : 61 - If √(1 - sin2A) = x, then the value of x is

Options:

1) tanA

2) cosA

3) cosecA

4) secA

Correct Answer: cosA

QID : 62 - What is the equation of the line whose y- intercept is -3 and makes an angle of 45° with the positive x-axis?

Options:

1) x - y = -3

2) x + y = 3

3) x - y = 3

4) x + y = -3

Correct Answer: x - y = 3

QID : 63 - To travel 672 km, an Express train takes 14 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 8 hours less than Rajdhani. The speed of Rajdhani is

Options:

1) 30.5 km/hr

2) 14.3 km/hr

3) 38.7 km/hr

4) 22.4 km/hr

Correct Answer: 22.4 km/hr

QID : 64 - Among three numbers, the first is twice the second and thrice the third, If the average of three numbers is 517, then what is the difference between the first and the third number?

Options:

1) 564

2) 759

3) 485

4) 799

Correct Answer: 564

QID : 65 - If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs

Options:

1) 4 percent

2) 8 percent

3) 16 percent

4) 13 percent

Correct Answer: 8 percent

QID : 66 - What is the value of sinAtanA/(1 - cosA)?

Options:

1) 1 - secA

2) 1 + secA

3) 1 + cotA

4) 1 - cotA

Correct Answer: 1 + secA

QID : 67 - If x + y = 12 and x² + y² = 94, then xy is

Options:

1) 25

2) 50

3) 144

4) 238

Correct Answer: 25

QID : 68 - The measures of the four angles of a quadrilateral are in the ratio 1:2:4:5. What is the measure of the biggest angle?

Options:

1) 120°

2) 30°

3) 60°

4) 150°

Correct Answer: 150°

QID : 69 - In which of the following quadrilaterals opposite angles are supplementary?

Options:

1) Rhombus

2) Parallelogram

3) Trapezium

4) Cyclic quadrilateral

Correct Answer: Cyclic quadrilateral

QID : 70 - Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

Options:

1) 7 days

2) 6 days

3) 5 days

4) 2 days

Correct Answer: 7 days

QID : 71 - The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

Options:

1) 83

2) 38

3) 64

4) 46

Correct Answer: 38

QID : 72 -