# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" Evening Shift (Quantitative Aptitude)

## SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" Evening Shift (Quantitative Aptitude)

**QID : 251 If (6 18x) (x 7) = 8, then the value of x is ...............**

**Options:**

1) 5/19

2) 2/13

3) 2/13

4) 5/19

**Correct Answer :** 5/19

**QID : 252 If the shopkeeper sells an item at Rs 450 which is marked as Rs 600, then what is the discount he is offering?**

**Options:**

1) 33.33 percent

2) 25 percent

3) 20 percent

4) 30 percent

**Correct Answer :** 25 percent

**QID : 253 Find the roots of the quadratic equation 27x2 + 57x 14 = 0**

**Options:**

1) 2/9, 7/3

2) 2/9, 7/3

3) 9/2, 3/7

4) 9/2, 3/7

**Correct Answer :** 2/9, 7/3

**QID : 254 A bank offers 20% compound interest calculated on half year basis. A customer deposits Rs 9200 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 11776

2) Rs 2944

3) Rs 1472

4) Rs 5888

**Correct Answer :** Rs 5888

**QID : 255 Which of the following numbers is not a prime number?**

**Options:**

1) 197

2) 313

3) 439

4) 391

**Correct Answer :** 391

**QID : 256 A carpenter can build a cupboard in 64 hours. After 16 hours he takes a break. What fraction of the cupboard is yet to be built?**

**Options:**

1) 0.6

2) 0.75

3) 0.2

4) 0.8

**Correct Answer :** 0.75

**QID : 257 The bus fare between two cities is increased in the ratio 29:31. What is the increase in the fare, if the original fare is Rs 725**

**Options:**

1) Rs 50

2) Rs 775

3) Rs 155

4) Rs 310

**Correct Answer :** Rs 50

**QID : 258 Two numbers are 35% and 40% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?**

**Options:**

1) 7.69 percent

2) 5 percent

3) 8.33 percent

4) 12.5 percent

**Correct Answer :** 8.33 percent

**QID : 259 If 3x + 2 < 2x + 1 and x 4 ≤ 2x 1; then x can take which of the following values?**

**Options:**

1) 2

2) 0

3) 2

4) 4

**Correct Answer :** 2

**QID : 260 Between 50 and 150 how many numbers are divisible by 7?**

**Options:**

1) 15

2) 16

3) 17

4) 14

**Correct Answer :** 14

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**QID : 261 The distance between the points (11,5) and (k,0) is 13. Find k.**

**Options:**

1) k = 1 or 23

2) k = 1 or 23

3) k = 1 or 23

4) k = 1 or 23

**Correct Answer :** k = 1 or 23

**QID : 262 What is the equation of the line which passes through the points (3,2) and (5,3)?**

**Options:**

1) 5x 2y = 19

2) 5x 2y = 19

3) 5x + 2y = 31

4) 5x + 2y = 31

**Correct Answer :** 5x 2y = 19

**QID : 263 A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is overtaken?**

**Options:**

1) 640 metres

2) 800 metres

3) 960 metres

4) 480 metres

**Correct Answer :** 800 metres

**QID : 264 In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?**

**Options:**

1) 4.8 cm

2) 9.8 cm

3) 7.8 cm

4) 7.2 cm

**Correct Answer :** 7.2 cm

**QID : 265 In a triangle, the length of the side opposite the angle which measures 45° is 16 cm, what is the length of the side opposite to the angle which measures 90°?**

**Options:**

1) 8√3 cm

2) 16√2 cm

3) 8 cm

4) 16√3 cm

**Correct Answer :** 16√2 cm

**QID : 266 If the volume of a cylinder is 385 cubic cm and height is 10 cm, find its radius?**

**Options:**

1) 7 cm

2) 10.5 cm

3) 3.5 cm

4) 1.75 cm

**Correct Answer :** 3.5 cm

**QID : 267 What is the value of sec 5π/4?**

**Options:**

1) 1/√3

2) √2

3) √3

4) 1

**Correct Answer :** √2

**QID : 268 2sin[(C+D)/2].sin[(DC)/2] is equal to**

**Options:**

1) cosC + cosD

2) cosC cosD

3) sinC sinD

4) sinC + sinD

**Correct Answer :** cosC cosD

**QID : 269 The total cost of a stove with cooker was Rs 13,125. The cooker was sold at a profit of 30% and the stove at a loss of 20%. If the sale price was the same in both the items, then the cost price of the cheaper item was**

**Options:**

1) Rs 8125

2) Rs 5000

3) Rs 6562.5

4) Rs 6175

**Correct Answer :** Rs 5000

**QID : 270 cot2A + cos2A is equal to cot2A + cos2A**

**Options:**

1) (cosecA sinA)2(cosecA + sinA)

2) (cosecA + sinA)(cosecA sinA)

3) (secA + sinA)(secA sinA)

4) (secA sinA)2(secA + sinA)

**Correct Answer :** (cosecA + sinA)(cosecA sinA)

**QID : 271 The average revenues of 7 consecutive years of a company is Rs 71 lakhs. If the average of first 4 years is Rs 66 lakhs and that of last 4 years is Rs 78 lakhs. What is the revenue for the fourth year.**

**Options:**

1) Rs 81 lakhs

2) Rs 77 lakhs

3) Rs 79 lakhs

4) Rs 75 lakhs

**Correct Answer :** Rs 79 lakhs

**QID : 272 **

**Options:**

1) Rs 855385

2) Rs 1120005

3) Rs 220000

4) Rs 352000

**Correct Answer :** Rs 855385

**QID : 273 **

**Options:**

1) 2012 & 2013

2) 2013 & 2015

3) 2011 & 2012

4) 2014 & 2015

**Correct Answer :** 2012 & 2013

**QID : 274 **

**Options:**

1) Loss of Rs 45 crores

2) Profit of Rs 55 crores

3) Profit of Rs 45 crores

4) Loss of Rs 55 crores

**Correct Answer :** Profit of Rs 45 crores

**QID : 275 **

**Options:**

1) 19.17 percent

2) 21.67 percent

3) 14.17 percent

4) 16.67 percent

**Correct Answer :** 16.67 percent