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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 17 January 2017" Afternoon Shift (Quantitative Aptitude)

QID : 151 - If 5x - 3(4 - x) < 4x - 4 < 4x + 2x/3; then the value of x is

Options:
1) -7
2) 3
3) 4
4) 1

Correct Answer: 1

QID : 152 - Reflection of the point (-1,4) in the x-axis is

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

Correct Answer: (-1,-4)

QID : 153 - To travel 660 km, an Express train takes 10 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 7 hours less than Rajdhani. The speed of Rajdhani is

Options:
1) 38.8 km/hr
2) 16.2 km/hr
3) 50.1 km/hr
4) 27.5 km/hr

Correct Answer: 27.5 km/hr

QID : 154 - Simplify (b5x2a3z4)*(b3x2a4z5) / (a2b3z2)

Options:
1) b5x4a5z5
2) b5x4a5z7
3) b5x4a4z7
4) b4x4a5z7

Correct Answer: b5x4a5z7

QID : 155 - For triangle ABC, find equation of median AD if co-ordinates of points A, B and C are (2,-4), (3,0) and (5,-2) respectively?

Options:
1) 3x - 2y = 14
2) 3x - 2y = 2
3) 3x + 2y = 14
4) 3x + 2y = 2

Correct Answer: 3x - 2y = 14

QID : 156 - If a retailer offers a discount of 28% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up?

Options:
1) 18.25 percent
2) 22 percent
3) 38.88 percent
4) 28 percent

Correct Answer: 38.88 percent

QID : 157 - What is the value of tan 300°?

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

Correct Answer: -√3

QID : 158 - When a number is increased by 38, it becomes 119% of itself. What is the number?

Options:
1) 200
2) 456
3) 570
4) 342

Correct Answer: 200

QID : 159 - The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 8% per annum is Rs 40. What is the sum?

Options:
1) Rs 12500
2) Rs 6250
3) Rs 25000
4) Rs 18750

Correct Answer: Rs 6250

QID : 160 - In a Rhombus ABCD, measure of angle CAB is 35°, what is the measure of angle ABC?

Options:
1) 70°
2) 40°
3) 50°
4) 110°

Correct Answer: 110°

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QID : 161 - If cotA/√(1 + cot2A) = x, then the value of x is

Options:
1) sinA
2) cosecA
3) secA
4) cosA

Correct Answer: cosA

QID : 162 - When a discount of 20% is given on a lunch buffet, the profit is 42%. If the discount is 15%, then the profit is:

Options:
1) 57 percent
2) 50.875 percent
3) 63.125 percent
4) 44.75 percent

Correct Answer: 50.875 percent

QID : 163 - What is the value of √[(1 - cosA)/(1 + cosA)]?

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

Correct Answer: cosecA - cotA

QID : 164 - On dividing a number by 38, we get 70 as quotient and 12 as remainder. What is the number?

Options:
1) 2648
2) 2636
3) 2684
4) 2672

Correct Answer: 2672

QID : 165 - By increasing the price of entry ticket to a fair in the ratio 17:19, the number of visitors to the fair has decreased in the ratio 11:10. In what ratio has the total collection increased or decreased?

Options:
1) decreased in the ratio 190:187
2) increased in the ratio 187:190
3) increased in the ratio 170:209
4) decreased in the ratio 209:170

Correct Answer: increased in the ratio 187:190

QID : 166 - In a cyclic quadrilateral

Options:
1) Opposite sides are parallel
2) Diagonals are bisectors of each other
3) Opposite angles are supplementary
4) Adjacent angles are supplementary

Correct Answer: Opposite angles are supplementary

QID : 167 - If a + b = - 8 and a2 + b2 = 34, then value of ab is

Options:
1) 30
2) 64
3) 98
4) 15

Correct Answer: 15

QID : 168 - The average of 19 consecutive even integers is 50. The highest of these integers is

Options:
1) 88
2) 68
3) 126
4) 100

Correct Answer: 68

QID : 169 - The first and last terms of an arithmetic progression are 25 and -52. What is the sum of the series if it has 12 terms?

Options:
1) -162
2) -110
3) 162
4) 110

Correct Answer: -162

QID : 170 - A wooden bowl is in shape of a hollow hemisphere of internal radius 9 cm and thickness 1 cm. Find the total surface area of the bowl?

Options:
1) 1376.58 sq cms
2) 2064.87 sq cms
3) 344.15 sq cms
4) 1197.42 sq cms

Correct Answer: 1197.42 sq cms

QID : 171 - Pankaj has done 1/2 of a job in 12 days, Sainath completes the rest of the job in 6 days. In how many days can they together do the job?

Options:
1) 4 days
2) 12 days
3) 8 days
4) 16 days

Correct Answer: 8 days

QID : 172 -