SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 15 January 2017" Morning Shift (Quantitative Aptitude)
SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 15 January 2017" Morning Shift (Quantitative Aptitude)
QID : 51 - Two numbers are 50% and 90% 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) 80 percent
2) 40 percent
3) 44.44 percent
4) 400 percent
Correct Answer: 400 percent
QID : 52 - Reduce 2714/5074 to lowest terms.
Options:
1) 17/23
2) 29/43
3) 23/43
4) 31/37
Correct Answer: 23/43
QID : 53 - What is the value of cosec 120°
Options:
1) 2/√3
2) 2
3) -2/√3
4) -2
Correct Answer: 2/√3
QID : 54 - Volume of a cylinder is 770 cubic cm. If circumference of its base is 22 cm, what will be the curved surface area of the cylinder? (Take π = 22/7)
Options:
1) 440 sq cms
2) 880 sq cms
3) 220 sq cms
4) 660 sq cms
Correct Answer: 440 sq cms
QID : 55 - What will be the sum of the measures all the interior angles of a polygon having 14 sides?
Options:
1) 2520°
2) 2160°
3) 2880°
4) 3240°
Correct Answer: 2160°
QID : 56 - A thief is stopped by a policeman from a distance of 350 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 the policeman as 7 km/h, how far the thief would have run, before he is over-taken?
Options:
1) 875 metres
2) 700 metres
3) 1050 metres
4) 525 metres
Correct Answer: 875 metres
QID : 57 - A does 75% of a work in 25 days. He then calls in B and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?
Options:
1) 50 days
2) 80 days
3) 24 days
4) 37.5 days
Correct Answer: 50 days
QID : 58 - The average of 29 consecutive even integers is 60. The highest of these integers is
Options:
1) 88
2) 118
3) 176
4) 120
Correct Answer: 88
QID : 59 - What should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)?
Options:
1) 3x - 13y
2) 3x + 13y
3) 13x - 3y
4) 13x + 3y
Correct Answer: 3x + 13y
QID : 60 - If 3(2 - 3x) < 2 - 3x ≥ 4x -6; then x can take which of the following values?
Options:
1) 2
2) -1
3) -2
4) 1
Correct Answer: 1
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QID : 61 - If sec2A + cosec2A = X, then the value of X is
Options:
1) tan2A cot2A
2) sinA cosA
3) secA cosecA
4) sec2A cosec2A
Correct Answer: sec2A cosec2A
QID : 62 - The effective annual rate of interest corresponding to a nominal rate of 15% per annum payable half-yearly is
Options:
1) 15.56 percent
2) 30 percent
3) 31.13 percent
4) 15 percent
Correct Answer: 15.56 percent
QID : 63 - If (4x - 3) - (2x + 1) = 4, then the value of x is
Options:
1) 0
2) 1
3) 2
4) 3
Correct Answer: 2
Candidate Answer: 0
QID : 64 - 25% discount is offered on an item. By applying a promo code a customer wins 10% cash back. What is the effective discount?
Options:
1) 35.75 percent
2) 32.5 percent
3) 35 percent
4) 12.5 percent
Correct Answer: 32.5 percent
QID : 65 - Which of the following equations has real and distinct roots?
Options:
1) 3x2 - 6x + 2 = 0
2) 3x2 - 6x + 3 = 0
3) x2 - 8x + 16 = 0
4) 4x2 - 8x + 4 = 0
Correct Answer: 3x2 - 6x + 2 = 0
QID : 66 - In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?
Options:
1) 3√3 cm
2) 3/2 cm
3) 9/2 cm
4) 9√3 cm
Correct Answer: 9√3 cm
QID : 67 - For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively?
Options:
1) 3x - 2y = -11
2) 3x + 2y = 7
3) 3x + 2y = -7
4) 3x - 2y = 11
Correct Answer: 3x + 2y = -7
QID : 68 - A wholesaler sells a watch to a retailer at a gain of 37% and the retailer sells it to a customer at a loss of 25%. If the customer pays Rs 2,620.125, what had it cost the wholesaler?
Options:
1) Rs 2550
2) Rs 2692
3) Rs 3327
4) Rs 2408
Correct Answer: Rs 2550
QID : 69 - The ratio of present ages of Rasika and Shami is 7:5. After 17 years the ratio of their ages will be 12:11. What is Rasika's present age?
Options:
1) 5
2) 80
3) 16
4) 7
Correct Answer: 7
QID : 70 - If tanA + tanB = X, then the value of X is
Options:
1) (tanA - tanB)/(1 + tanAtanB)
2) (tanA + tanB)/(1 - tanAtanB)
3) (tanA + tanB)/(1 + tanAtanB)
4) (tanA - tanB)/(1 - tanAtanB)
Correct Answer: (tanA + tanB)/(1 - tanAtanB)
QID : 71 - The distance between the points (7,7) and (k,-5) is 13. Find k?
Options:
1) -2
2) 4
3) -4
4) 2
Correct Answer: 2
QID : 72 -
Options:
1) 21.05
2) 10
3) 20
4) 26.67
Correct Answer: 21.05
QID : 73 -
Options:
1) 810
2) 1040
3) 1060
4) 4640
Correct Answer: 1040
QID : 74 -
Options:
1) 2070 calories
2) 2170 calories
3) 2120 calories
4) 2020 calories
Correct Answer: 2120 calories
QID : 75 -
Options:
1) 21.32 percent
2) 28.57 percent
3) 14.07 percent
4) 35.82 percent
Correct Answer: 28.57 percent