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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 20 January 2017" Afternoon Shift (Quantitative Aptitude)

QID : 151 - If 6x + 4(2-x) > 3x -2 > 5x/2 - x/4; then value of x is

Options:

1) 0

2) 1

3) 3

4) 2

Correct Answer: 3

QID : 152 - What is the value of sin 300°?

Options:

1) -1/2

2) 2

3) 2/√3

4) -√3/2

Correct Answer: -√3/2

QID : 153 - If 5/6th of 7/6th of a number is 140, then 9/4th of that number is

Options:

1) 225

2) 87

3) 301

4) 324

Correct Answer: 324

QID : 154 - When a discount of 20% is given on a pizza, the profit is 32%. If the discount is 18%, then the profit is

Options:

1) 50 percent

2) 64.7 percent

3) 35.3 percent

4) 20.6 percent

Correct Answer: 35.3 percent

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QID : 155 - Two students appeared for an examination. One of them secured 16 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

Options:

1) 98 and 82

2) 49 and 33

3) 96 and 80

4) 24 and 8

Correct Answer: 24 and 8

QID : 156 - Rehman goes on a trip on his motor-cycle and rides for 661 kms. If he rides for 8 hours at a speed of 31 km/hr, find at what speed he travels for the remaining 7 hours of the journey?

Options:

1) 50 km/hr

2) 42 km/hr

3) 53 km/hr

4) 59 km/hr

Correct Answer: 59 km/hr

QID : 157 - In a class of 50 students there are 27 girls. The average weight of these girls is 45 kg and average weight of the full class is 49.6 kgs. What is the average weight of the boys of the class?

Options:

1) 55

2) 54.2

3) 53.4

4) 53

Correct Answer: 55

QID : 158 - The third proportional of two numbers 4 and 20 is

Options:

1) 36

2) 40

3) 100

4) 60

Correct Answer: 100

QID : 159 - Mandeep works 3 times as fast as Sampat. If Sampat can complete a job alone in 60 days, then in how many days can they together finish the job?

Options:

1) 7 days

2) 4 days

3) 5 days

4) 15 days

Correct Answer: 15 days

QID : 160 - Reflection of the point (3,-6) in the y-axis is y-

Options:

1) (3,6)

2) (3,-6)

3) (-3,-6)

4) (-3,6)

Correct Answer: (-3,-6)

QID : 161 - If √(1 - cos²A) = x, then the value of x is

Options:

1) cosecA

2) sinA

3) tanA

4) secA

Correct Answer: sinA

QID : 162 - If cosA/(1 - sinA) = x, then the value of x is

Options:

1) secA - tanA

2) cosecA + tanA

3) secA + tanA

4) cosecA - tanA

Correct Answer: secA + tanA

QID : 163 - Simplify 576b³x²a⁴z³/36a³b²z

Options:

1) 16bx²az²

28)bx²a²z

3) 32ba2z

4) 32bxa²z

Correct Answer: 16bx²az²

QID : 164 - If x + y = 13 and x²+ y² = 89, then find xy is

Options:

1) 80

2) 169

3) 258

4) 40

Correct Answer: 40

QID : 165 - If the selling price is Rs 2125 after getting a discount of 15% what was the marked price?

Options:

1) Rs 2443.75

2) Rs 1806.25

3) Rs 1847

4) Rs 2500

Correct Answer: Rs 2500

QID : 166 - What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?

Options:

1) x + y = 4

2) x + y = 2

3) x - y = 4

4) x - y = 2

Correct Answer: x + y = 4

QID : 167 - The measures of the four angles of a quadrilateral are in the ratio 1:2:3:4. What is the measure of the biggest angle?

Options:

1) 36°

2) 144°

3) 72°

4) 108°

Correct Answer: 144°

QID : 168 - A tent is to be built in the form of a cylinder of radius 5 m surmounted by a cone of the same radius. If the height of the cylindrical part is 6 m and slant height of the conical part is 10 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) 829.72 sq mts

2) 414.86 sq mts

3) 1244.58 sq mts

4) 207.43 sq mts

Correct Answer: 414.86 sq mts

QID : 169 - The sum of the digits of a 2-digit number is 8. If we add 36 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

Options:

1) 26

2) 62

3) 34

4) 43

Correct Answer: 26

QID : 170 - In which of the following quadrilaterals both pairs of opposite sides are parallel?

Options:

1) Rhombus

2) Cyclic quadrilateral

3) Kite

4) Isosceles trapezium

Correct Answer: Rhombus

QID : 171 - A bank offers 10% compound interest per half year. A customer deposits Rs. 5200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have profit by way of interest is:

Options:

1) Rs 3224

2) Rs 1612

3) Rs 806

4) Rs 403

Correct Answer: Rs 1612

QID : 172 -