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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 07 February 2017" Morning Shift (Mathematics)

SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 07 February 2017"

Morning Shift (Mathematics)

QID : 51- What is the value of (91 + 92 + 93 + ……… +140)?

Options:
1)5775
2)11550
3)17325
4)23100

Correct Answer:5775

QID : 52- The average revenues of 9 consecutive years of a company is Rs 80 lakhs. If the average of first 5 years is Rs 75 lakhs and that of last 5 years is Rs 87 lakhs, find the revenue for the 5thyear.

Options:
1)Rs 90 lakhs
2)Rs 92 lakhs
3)Rs 88 lakhs
4)Rs 86 lakhs

Correct Answer:Rs 90 lakhs

QID : 53- If cosec -4π/3 = x, then the value of x is

Options:
1)√2
2)2/√3
3)-√2
4)-1/√3

Correct Answer:2/√3

QID : 54- In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

Options:
1)240
2)480
3)120
)720

Correct Answer:240

QID : 55- If cot(A/2) = x, then the value of x is

Options:
1)√[(1 + cosA)/(1 - cosA)]
2)cosecA - cotA
3)√[(1 - cosA)/2]
4)√[(1 + cosA)/2]

Correct Answer:√[(1 + cosA)/(1 - cosA)]

QID : 56- If (1 - cosA)/(1 + cosA) = x, then the value of x is

Options:
1)(cotA + cosecA)²
2)(cotA - cosecA)²
3)cotA - cosecA
4)cotA + cosecA

Correct Answer:(cotA - cosecA)²

QID : 57- Manjeet can do a work in 18 hours. If he is joined by Jaya who is 100% more efficient, in what time will they together finish the work?

Options:
1)6 hours
2)3 hours
3)12 hours
4)24 hours

Correct Answer:6 hours

QID : 58- Two cars travel from city A to city B at a speed of 30 and 36 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

Options:
1)648 km
2)810 km.
3)432 km
4)540 km

Correct Answer:540 km

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QID : 59- A trader had 12 quintals of wheat. He sold a part of it at 13% profit and the rest at 23% profit, so that he made a total profit of 17 %. How much wheat did he sell at 23% profit?

Options:
1)720 kg
2)240 kg
3)480 kg
4)960 kg

Correct Answer:480 kg

QID : 60- A student multiplied a number by 6/13 instead of 13/6. What is the percentage error in the calculation?

Options:
1)369.44 percent
2)39.35 percent
3)184.72 percent
4)78.7 percent

Correct Answer:78.7 percent

QID : 61- Simple interest on a certain sum of money for 3 years at 14% per annum is half the compound interest on Rs. 10000 for 2 years at 10% per annum. The sum placed on simple interest is

Options:
1)Rs 5000
2)Rs 1250
3)Rs 2000
4)Rs 2500

Correct Answer:Rs 2500

QID : 62- If the shopkeeper sells an item at Rs 1000 which is marked as Rs 1250, then what is the discount he is offering?

Options:
1)25 percent
2)33.3 percent
3)250 percent
4)20 percent

Correct Answer:20 percent

QID : 63- If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

Options:
1)54 cm
2)9 cm
3)27 cm.
4)13.5 cm

Correct Answer:27 cm

QID : 64- Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:5, and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

Options:
1)49 sq cm
2)45 sq cm
3)25 sq cm
4)21 sq cm

Correct Answer:45 sq cm

QID : 65- Find equation of the perpendicular bisector of segment joining the points (2,-6) and (4,0)?

Options:
1)x + 3y = 6
2)x + 3y = -6
3)x - 3y = -6
4)x - 3y = 6

Correct Answer:x + 3y = -6

QID : 66- What is the measure of an interior angle of a regular dodecagon?

Options:
1)120°
2)140°
3)150°
4)144°

Correct Answer:150°

QID : 67- The diameter of a circle is 28 cm find its area?

Options:
1)616 sq cm
2)308 sq cm
3)154 sq cm
4)77 sq cm

Correct Answer:616 sq cm

QID : 68- Coefficient of x in (x + 8)(6 - 3x) is

Options:
1)18
2)30
3)-18
4)-30

Correct Answer:-18

QID : 69- If x + y = 10 and x²+ y²= 68, then find xy

Options:
1)21
2)24
3)25
4)16

Correct Answer:16

QID : 70- The sum of the digits of a 2-digit number is 17. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

Options:
1)89
2)98
3)78
4)87

Correct Answer:89

QID : 71- If 5x + 4(1 - x) > 3x -4 > 5x/3 - x/3; then x can take which of the following values?

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

Correct Answer:3

QID : 72–