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

## 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) (2x^{3} 9x^{2} + 12x 24)**

**Options:**

1) 34x^{3} + 30x^{2} 32x 12

2) 34x^{3} + 30x^{2} 32x + 12

3) 34x^{3} 30x^{2} 32x + 12

4) 34x^{3} 30x^{2} + 32x 12

**Correct Answer**: 34x^{3} + 30x^{2} 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

**Correct Answer**: 300

**QID : 171 Two fractions are such that their product is 2/5 and sum is 1/15. What are the two fractions.**

**Options:**

1) 4/3, 3/10

2) 2/7, 7/5

3) 4/7, 7/10

4) 2/3, 3/5

**Correct Answer**: 2/3, 3/5

**QID : 172 **

**Options:**

1) 9359994

2) 668571

3) 280000

4) 344000

**Correct Answer**: 668571

**QID : 173 **

**Options:**

1) 2011 & 2013

2) 2013 & 2014

3) 2011 & 2012

4) 2014 & 2015

**Correct Answer**: 2013 & 2014

**QID : 174 **

**Options:**

1) Loss of Rs 30 crores

2) Loss of Rs 20 crores

3) Profit of Rs 20 crores

4) Profit of Rs 30 crores

**Correct Answer**: Loss of Rs 20 crores

**QID : 175 **

**Options:**

1) 24.44 percent

2) 21.94 percent

3) 19.44 percent

4) 16.94 percent

**Correct Answer**: 19.44 percent