SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 08 February 2017" Morning Shift (Quantitative Aptitude)
SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 08 February 2017"
Morning Shift (Quantitative Aptitude)
QID : 51 - When a number is increased by 24, it becomes 110% of itself. What is the number?
Options:
1) 288
2) 360
3) 216
4) 240
Correct Answer: 240
QID : 52 - Reduce 3596 / 4292 to lowest terms.
Options:
1) 29/37
2) 17/43
3) 31/37
4) 19/23
Correct Answer: 31/37
QID : 53 - A does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?
Options:
1) 25 days
2) 20 days
3) 80 days
4) 24 days
Correct Answer: 25 days
QID : 54 - If cot 60° + cosec 60° = x, then the value of x is
Options:
1) (1-2√2)/√2
2) (√3-4)/2√3
3) 1
4) √3
Correct Answer: √3
QID : 55 - Two cars travel from city A to city B at a speed of 42 and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B is:
Options:
1) 336 km
2) 280 km
3) 420 km
4) 224 km
Correct Answer: 280 km
QID : 56 - If √[(1 - cosA)/2] = x, then the value of x is
Options:
1) cos(A/2)
2) tan(A/2)
3) sin(A/2)
4) cot(A/2)
Correct Answer: sin(A/2)
QID : 57 - If 1 + secA = x, then the value of x is
Options:
1) sinAtanA/(1 + cosA)
2) √[sinAtanA/(1 - cosA)]
3) sinAtanA/(1 - cosA)
4) √[sinAtanA/(1 + cosA)]
Correct Answer: sinAtanA/(1 - cosA)
QID : 58 - A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?
Options:
1) 16 cm
2) 32 cm
3) 5.33 cm
4) 8 cm
Correct Answer: 16 cm
QID : 59 - What is the length of the side of an equilateral triangle, if its area is 64√3 sq cm?
Options:
1) 8 cm
2) 16 cm
3) 16√3 cm
4) 8√3 cm
Correct Answer: 16 cm
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QID : 60 - A vendor buys pens at the rate of 4 for Rs 5 and sells at the rate of 4 for Rs 3. What will be the result?
Options:
1) 40 percent gain
2) 66.6 percent loss
3) 66.66 percent gain
4) 40 percent loss
Correct Answer: 40 percent loss
QID : 61 - Simple interest on a certain sum of money for 3 years at 18% per annum is half the compound interest on Rs. 9000 for 2 years at 10% per annum. The sum placed on simple interest is:
Options:
1) Rs 3500
2) Rs 875
3) Rs 1750
4) Rs 1400
Correct Answer: Rs 1750
QID : 62 - Find k, if the line 4x - y = 1 is perpendicular to the line 5x - ky = 2?
Options:
1) 20
2) -20
3) 4
4) -4
Correct Answer: -20
QID : 63 - The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of Class X.
Options:
1) 53.7
2) 54.4
3) 53
4) 55.8
Correct Answer: 54.4
QID : 64 - Find length of the arc whose central angle is 90° and radius of the circle is 3.5 cm?
Options:
1) 11 cm
2) 5.5 cm
3) 16.5 cm
4) 22 cm
Correct Answer: 5.5 cm
QID : 65 - The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali's age?
Options:
1) 5
2) 14
3) 81
4) 8
Correct Answer: 8
QID : 66 - The area of an equilateral triangle is 9√3 sq cm, find height of the triangle?
Options:
1) 6 cm
2) 6√3 cm
3) 3√3 cm
4) 9 cm
Correct Answer: 3√3 cm
QID : 67 - Ticket for an adult is Rs 2200 and a child is Rs 990. One child goes free with two adults. If a group has 23 adults and 11 children, what is the discount the group gets?
Options:
1) 17.71 percent
2) 32.30 percent
3) 26.47 percent
4) 25.77 percent
Correct Answer: 17.71 percent
QID : 68 - If (8 - 10x) - (13x - 2) = -9, then the value of x is
Options:
1) -19/23
2) 19/23
3) -1/23
4) 1/23
Correct Answer: 19/23
QID : 69 - If xy = -18 and x2 + y2 = 85, then find the value of (x + y).
Options:
1) 8
2) 10
3) 9
4) 7
Correct Answer: 7
QID : 70 - A number is greater than twice its reciprocal by 31/4. Find the number.
Options:
1) 7
2) 8
3) 9
4) 6
Correct Answer: 8
QID : 71 - If 2x -3(x + 2) < 5 - 2x < -x + 2, then find the value of x.
Options:
1) 2
2) 0
3) 10
4) 12
Correct Answer: 10
QID : 72
Options:
1) Ahilya
2) Aishwarya
3) Akanksha
4) Alisha
Correct Answer: Ahilya
QID : 73 -
Options:
1) 367.5
2) 385
3) 402.5
4) 350
Correct Answer: 367.5
QID : 74 -
Options:
1) 1.79
2) 1.54
3) 2.04
4) 1.29
Correct Answer: 1.54
QID : 75 -
Options:
1) 60000 shares
2) 75000 shares
3) 90000 shares
4) 45000 shares
Correct Answer: 75000 shares
