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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 24 January 2017" Afternoon Shift (Quantitative Aptitude)

QID : 151 A factory buys 8 machines. 3 MachineA, 4 MachineB and rest MachineC. Prices of the machines are Rs 45000, Rs 25000 and Rs 35000 respectively. Calculate the average cost (in Rs) of these machines?

Options:

1) 33750

2) 35000

3) 36250

4) 32250

Correct Answer: 33750

QID : 152 The ratio of present ages of Rangitha and Shaheen is 6:5. After 12 years the ratio of their ages will be 7:6. What is Rangitha's present age?

Options:

1) 60

2) 55

3) 72

4) 28

Correct Answer: 72

QID : 153 If cosec 240° = x, then the value of x is

Options:

1) √2

2) 2

3) 2/√3

4) √2

Correct Answer: 2/√3

QID : 154 2*[0.3(1.3 + 3.7)] of 0.8 = ?

Options:

1) 1.92

2) 0.72

3) 2.16

4) 2.4

Correct Answer: 2.4

QID : 155 9 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 3 hours. What is the speed of the goods train?

Options:

1) 21.6 km/hr

2) 27 km/hr

3) 18 km/hr

4) 14.4 km/hr

Correct Answer: 18 km/hr

QID : 156 A shopkeeper, sold cocoa seeds at the rate Rs 1,230 a kg and bears a loss of 5%. Now if he decides to sell it at Rs 1,353 per kg, what will be the result?

Options:

1) 4.5 percent gain

2) 9 percent gain

3) 4.5 percent loss

4) 9 percent loss

Correct Answer: 4.5 percent gain

QID : 157 If 1/√(1 sin2A) = x, then the value of x is

Options:

1) tanA

2) cosecA

3) secA

4) cosA

Correct Answer: secA

QID : 158 A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

Options:

1) 1/4

2) 2/9

3) 1/5

4) 3/10

Correct Answer: 3/10

QID : 159 What is the value of (1+cosA)/(1cosA)?

Options:

1) (cosecA cotA)²

2) (cosecA + cotA)²

3) (secA + cotA)²

4) (secA cotA)²

Correct Answer: (cosecA + cotA)²

QID : 160 What are the coordinates of the mid point of the segment joining points C(5,2) and D(1,8).

Options:

1) (2, 3)

2) (2, 3)

3) (2, 3)

4) (2, 3)

Correct Answer: (2, 3)

QID : 161 The line passing through (3,4) and (0,3) is perpendicular to the line passing through (5,7) and (4,x). What is the value of x?

Options:

1) 4

2) 2

3) 2

4) 4

Correct Answer: 4

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QID : 162 If 2(3x 4) 2 < 4x 2 ≥ 2x 4; then the value of x is

Options:

1) 2

2) 5

3) 4

4) 5

Correct Answer: 2

QID : 163 Expand and simplify (3x + 2)²*(4x 3) (2x³ 9x² + 12x 24)

Options:

1) 34x³ + 30x² 32x 12

2) 34x³ + 30x² 32x + 12

3) 34x³ 30x² 32x + 12

4) 34x³ 30x² + 32x 12

Correct Answer: 34x³ + 30x² 32x + 12

QID : 164 An angle is smaller than its supplementary angle by 50°. What is the measure of the angle?

Options:

1) 115°

2) 60°

3) 30°

4) 65°

Correct Answer: 65°

QID : 165 A bank offers 10% compound interest per half year. A customer deposits Rs. 2000 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

Options:

1) Rs 1240

2) Rs 310

3) Rs 155

4) Rs 620

Correct Answer: Rs 620

QID : 166 A cylindrical vessel of radius 7 cm is partially filled with water. By how much will the water level rise if a sphere of radius 6 cm is completely immersed in this water?

Options:

1) 11.76 cm

2) 17.64 cm

3) 23.52 cm

4) 5.88 cm

Correct Answer: 5.88 cm

QID : 167 In a rhombus ..................

Options:

1) Diagonals are equal and perpendicular

2) Consecutive angles are equal

3) Consecutive angles are supplementary

4) Adjacent sides are not equal

Correct Answer: Consecutive angles are supplementary

QID : 168 If a b = 3 and ab =28, then a3 b3 is

Options:

1) 279

2) 387

3) 513

4) 91

Correct Answer: 279

QID : 169 Daily local train ticket costs Rs 30 and Monthly Pass costs Rs 670.8. If I buy the Monthly Pass and travel for 26 days in a month than I save?

Options:

1) 12 percent

2) 14 percent

3) 25 percent

4) 10 percent

Correct Answer: 14 percent

QID : 170 When a number is increased by 18, it becomes 106% of itself. What is the number?

Options:

1) 300

2) 216

3) 270

4) 162