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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 10 January 2017" Evening Shift (Quantitative Aptitude)

SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 10 January 2017" Evening Shift

(Quantitative Aptitude)

QID : 251 - Daily ticket of a local train costs Rs 140 and Monthly Pass costs Rs 3276. If Mohan buys the Monthly Pass and travels for 30 days in a month then what amount does he save?

Options:
1) 18 percent

2) 16 percent

3) 15 percent

4) 22 percent

Correct Answer: 22 percent

QID : 252 - Segment AB is parallel to segment CD. AD intersects BC in E. If lengths of AE, BC and ED are 10 cm, 15 cm and 15 cm, what is the length of EC?

Options:
1) 10 cm

2) 6 cm

3) 5 cm

4) 9 cm.

Correct Answer: 9 cm

QID : 253 - A bank offers 5% compound interest per half year. A customer deposits Rs 8000 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 2440

2) Rs 610

3) Rs 1220

4) Rs 305

Correct Answer: Rs 1220

QID : 254 - If 16qxy = (2x + y)² - (2x - y)², then what is the value of q?

Options:
1) 0.5

2) 0.25

3) 4

4) 2

Correct Answer: 0.5

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QID : 255 - The greatest four digit number that is divisible by both 15 and 35 is

Options:
1) 9970

2) 9965

3) 9975

4) 9980

Correct Answer: 9975

QID : 256 - Which of the following points lies on the line 5x + 4y = 2?

Options:
1) (2,3)

2) (-2,-3)

3) (-2,3)

4) (2,-3)

Correct Answer: (-2,3)

QID : 257 - The total surface area of a hemisphere is 1848 sq cm, what is its radius? (Take π = 22/7)

Options:
1) 28 cms

2) 7 cms

3) 21 cms

4) 14 cms

Correct Answer: 14 cms

QID : 258 - Points P and Q lies on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ and triangle ABC is 9:16, then what is the ratio of AP:PB?

Options:
1) 3:4

2) 9:7

3) 9:16

4) 3:1

Correct Answer: 3:1

QID : 259 - Which of the following equations has the sum of its roots as 7?

Options:
1) x² - 7x + 14 = 0

2) x² - 7x + 10 = 0

3) x² + 5x + 6 = 0

4) x² + 5x - 6 = 0

Correct Answer: x² - 7x + 10 = 0

QID : 260 - (cosecA - sinA)(secA - cosA)(tanA + cotA) is equals to

Options:
1) 2

2) 0

3) 1

4) 1/2

Correct Answer: 1

QID : 261 - x and y are two numbers such that their mean proportion is 6 and third proportion is 48. What is the value of x and y?

Options:
1) 3 and 6

2) 6 and 12

3) 6 and 6

4) 3 and 12

Correct Answer: 3 and 12

QID : 262 - The mean of marks secured by 55 students in division-A of class X is 55, 45 students of division-B is 51 and that of 40 students of division-C is 49. What is the mean of marks of the students of three divisions of Class X?

Options:
1) 51.3
2) 50.6
3) 52
4) 53.4

Correct Answer: 52

QID : 263 - What is the value of cos2(A/2)?

Options:
1) (1 - cosA)/2

2) (1 + cosA)/2

3) (1 + sinA)/2

4) (1 - sinA)/2

Correct Answer: (1 + cosA)/2

QID : 264 - One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 10 cm, what is the area of the rhombus?

Options:
1) 75√3 sq cm

2) 25√3 sq cm

3) 80 sq cm

4) 160 sq cm

Correct Answer: 80 sq cm

QID : 265 - P and Q can finish a work in 24 and 12 days respectively. In how many days can they complete 50% of the work if they work together?

Options:
1) 8 days

2) 2 days

3) 4 days

4) 16 days

Correct Answer: 4 days

QID : 266 - A rice trader buys 16 quintals of rice for Rs 1,280. 18% rice is lost in transportation. At what rate should he sell to earn 23% profit?

Options:
1) Rs 53.33 per quintal

2) Rs 98.4 per quintal

3) Rs 122.5 per quintal

4) Rs 120 per quintal

Correct Answer: Rs 120 per quintal

QID : 267 - To travel 780 km, an Express train takes 8 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 6 hours less than Rajdhani. The speed (in km/hr) of Rajdhani is

Options:
1) 39 km/hr

2) 55.7 km/hr

3) 22.3 km/hr

4) 72.4 km/hr

Correct Answer: 39 km/hr

QID : 268 - cot -11π/6 is equals to

Options:
1) -√3

2) 1/√3

3) -1/√3

4) √3

Correct Answer: √3

QID : 269 - If 5x + 2 > 3x + 1 and 4(x - 4) - 2 ≤ 3x - 1, then x can take which of the following values?

Options:
1) 16

2) 18

3) -6