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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 30 January 2017" Morning Shift (Quantitative Aptitude)

SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 30 January 2017"

Morning Shift (Quantitative Aptitude)

QID : 51 - If (7x - 13) - (12x + 3) = 14, then the value of x is ______ .

Options:
1) -6

2) 6

3) 2/5

4) -2/5

Correct Answer: -6

QID : 52 - Chutki can bake 30 cakes in 15 hours. Chutki and Badki together can bake 90 cakes in 30 hours. How many cakes Badki can bake in 10 hours?

Options:
1) 75

2) 20

3) 10

4) 60

Correct Answer: 10

QID : 53 - If 3x² = 10² - 5², find the value of x?

Options:
1) 7

2) 5

3) 9

4) 11

Correct Answer: 5

QID : 54 - The average revenues of 9 consecutive years of a company is Rs 65 lakhs. If the average of first 5 years is Rs 60 lakhs and that of last 5 years is Rs 72 lakhs, find the revenue for the 5th year.

Options:
1) Rs 77 lakhs

2) Rs 75 lakhs

3) Rs 73 lakhs

4) Rs 71 lakhs

Correct Answer: Rs 75 lakhs

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QID : 55 - What should be the missing digit so that the number 347_547 becomes exactly divisible by 11?

Options:
1) 5

2) 3

3) 9

4) 2

Correct Answer: 3

QID : 56 - Rajesh sells a machine for Rs 57 lakhs at a loss. Had he sold it for Rs 67 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.

Options:
1) Rs 58.25 lakhs

2) Rs 65.75 lakhs

3) Rs 75.14 lakhs

4) Rs 50.75 lakhs

Correct Answer: Rs 58.25 lakhs

QID : 57 - If 7 + 4x > 3 + 3x and 3x - 2 < 5 - x; then x can take which of the following values?

Options:
1) 2

2) 3

3) 1

4) -5

Correct Answer: 1

QID : 58 - If 2 pair of trouser is offered free on purchase of 3 pair of trousers priced Rs 900 each what is the effective discount on each pair of trouser?

Options:
1) 40 percent

2) 33.33 percent

3) 30 percent

4) 20 percent

Correct Answer: 40 percent

QID : 59 - Find the value of p if 3x + p, x - 10 and -x + 16 are in arithmetic progression.

Options:
1) 16

2) 36

3) -16

4) -36

Correct Answer: -36

QID : 60 - The point P(3,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?

Options:
1) x = 4; y = -8

2) x = -3; y = -8

3) x = 3; y = 8

4) x = -3; y = 8

Correct Answer: x = 4; y = -8

QID : 61 - What is the equation of the line if its slope is 1/4 and y-intercept is -3?

Options:
1) x - 4y = 12

2) x + 4y = 12

3) x - 4y = -12

4) x + 4y = -12

Correct Answer: x - 4y = 12

QID : 62 - A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over-taken?

Options:
1) 500 metres

2) 750 metres

3) 375 metres

4) 625 metres

Correct Answer: 625 metres

QID : 63 - In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

Options:
1) 12.6 cm

2) 9.3 cm

3) 8.1 cm

4) 5.4 cm

Correct Answer: 12.6 cm

QID : 64 - In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?

Options:
1) 27 cm

2) 9 cm

3) 12√3 cm

4) (15√3)/2 cm

Correct Answer: 27 cm

QID : 65 - When a number is increased by 26, it becomes 113% of itself. What is the number?

Options:
1) 200

2) 312

3) 390

4) 234

Correct Answer: 200

QID : 66 - Volume of a cylinder is 2310 cubic cm. If circumference of its base is 44 cm, find the curved surface area of the cylinder?

Options:
1) 660 sq cm

2) 1320 sq cm

3) 1980 sq cm

4) 330 sq cm

Correct Answer: 660 sq cm

QID : 67 - A bank offers 5% compound interest per half year. A customer deposits Rs. 3200 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 976

2) Rs 244

3) Rs 488

4) Rs 122

Correct Answer: Rs 488

QID : 68 - By increasing the price of entry ticket to a fair in the ratio 11:16, the number of visitors to the fair has decreased in the ratio 19:9. In what ratio has the total collection increased or decreased?

Options:
1) decreased in the ratio 209:144

2) increased in the ratio 144:209

3) increased in the ratio 99:304

4) decreased in the ratio 304:99

Correct Answer: decreased in the ratio 209:144

QID : 69 - What is the value of cos 4π/3?

Options:
1) -1/2

2) √3/2

3) -1/√2

4) -√3/2

Correct Answer: -1/2

QID : 70 - tan3A is equal to

Options:
1) 3tanA - tan3A(1 - 3tan2A)

2) 3tanA + tan3A(1 - 3tan2A)

3) 3tanA - tan3A(1 + 3tan2A)