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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 25 January 2017" Morning Shift (Quantitative Aptitude)

SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 25 January 2017"

Morning Shift (Quantitative Aptitude)

QID : 51 - The two numbers are 63 and 77, HCF is 7, Find the LCM.

Options:
1) 668
2) 693
3) 674
4) 680

Correct Answer: 693

QID : 52 - The total cost of a washing machine with an electric chimney was Rs 57,750. The electric chimney was sold at a profit of 34% and the washing machine at a loss of 24%. If the sale price was the same in both the items, then the cost price of the cheaper item was _______.

Options:
1) Rs 26850
2) Rs 20900
3) Rs 28875
4) Rs 25850

Correct Answer: Rs 20900

QID : 53 - If (7 - 12x) - (3x - 7) = 14, then the value of x is _____ .

Options:
1) -4
2) 0
3) 5
4) 2

Correct Answer: 0

QID : 54 - Find the roots of the quadratic equation 6x2- 11x - 35 = 0

Options:
1) 5/3, -7/2
2) -5/3, 7/2
3) -3/5, 2/7
4) 3/5, -2/7

Correct Answer: -5/3, 7/2

QID : 55 - If 5x + 2 < 4x + 1 and 2(x - 4) - 2 ≤ 4x - 1; then x can take which of the following values?

Options:
1) 0
2) 2
3) 4
4) -2

Correct Answer: -2

QID : 56 - Two students appeared for an examination. One of them secured 10 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

Options:
1) 52 and 42
2) 68 and 58
3) 63 and 53
4) 15 and 5

Correct Answer: 15 and 5

QID : 57 - By increasing the price of entry ticket to a fair in the ratio 3:7, the number of visitors to the fair has decreased in the ratio 16:13. In what ratio has the total collection increased or decreased?

Options:
1) decreased in the ratio 91:48
2) increased in the ratio 48:91
3) increased in the ratio 39:112
4) decreased in the ratio 112:39

Correct Answer: increased in the ratio 48:91

QID : 58 - To cover a distance of 315 km in 2.8 hours what should be the average speed of the car in meters/second?

Options:
1) 112.5 m/s
2) 56.25 m/s
3) 62.5 m/s
4) 31.25 m/s

Correct Answer: 31.25 m/s

QID : 59 - In an arithmetic progression, if 17 is the 3rd term, -25 is the 17th term, then -1 is which term?

Options:
1) 10
2) 11
3) 9
4) 12

Correct Answer: 9

QID : 60 - The distance between the points (4,-8) and (k,0) is 10. Find k?

Options:
1) k = 6 or -2
2) k = 10 or -2
3) k = 10 or -4
4) k = 6 or -4

Correct Answer: k = 10 or -2

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QID : 61 - Praful has done 1/2 of a job in 30 days, Sarabjit completes the rest of the job in 10 days. In how many days can they together do the job?

Options:
1) 30 days
2) 45 days
3) 15 days
4) 60 days

Correct Answer: 15 days

QID : 62 - Ticket for an adult is Rs 500 and a child is Rs 200. 1 child goes free with two adults. If a group has 20 adults and 8 children what will be the discount the group get?

Options:
1) 53.43 percent
2) 13.79 percent
3) 32.2 percent
4) 35.06 percent

Correct Answer: 13.79 percent

QID : 63 - A factory buys 8 machines. 3 Machine A, 2 Machine B and rest Machine C. Prices of the machines are Rs 100000, Rs 80000 and Rs 45000 respectively. Calculate the average cost of these machines?

Options:
1) 74375
2) 75000
3) 75625
4) 72875

Correct Answer: 74375

QID : 64 - What is the equation of the line which passes through the points (2,3) and (-4,1)?

Options:
1) x - 3y = -7
2) x + 3y = 7
3) x - 3y = 7
4) x + 3y = -7

Correct Answer: x - 3y = -7

QID : 65 - In ΔABC, the angle bisector of ∠A cuts BC at E. Find length of AC, if lengths of AB, BE and EC are 9 cm, 3.6 cm and 2.4 cm?

Options:
1) 5.4 cm
2) 8 cm
3) 4.8 cm
4) 6 cm

Correct Answer: 6 cm

QID : 66 - The effective annual rate of interest corresponding to a nominal rate of 22% per annum payable half-yearly is

Options:
1) 44 percent
2) 23.21 percent
3) 46.42 percent
4) 22 percent

Correct Answer: 23.21 percent

QID : 67 - In a triangle, the length of the opposite side of the angle which measures 45° is 8√2 cm, what is the length of the side opposite to the angle which measures 90°?

Options:
1) 16 cm
2) 4√3 cm
3) 8√3 cm
4) 6√3 cm

Correct Answer: 16 cm

QID : 68 - If the volume of a cylinder is 2156 cubic cm and height is 14 cm, find its radius?

Options:
1) 14 cm
2) 21 cm
3) 3.5 cm
4) 7 cm

Correct Answer: 7 cm

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

Options:
1) 1/√3
2) -√3
3) -1
4) √3

Correct Answer: 1/√3

QID : 70 - 2cos[(C+D)/2].cos[(C-D)/2] is equal to

Options:
1) cosC - cosD
2) sinC + sinD
3) cosC + cosD
4) sinC - sinD

Correct Answer: cosC + cosD

QID : 71 - cot2Acos2A is equal to