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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 18 January 2017" Evening Shift (Quantitative Aptitude)

QID : 251 - If 3x + 5(4-3x) > 2 - 4x < 3x - x/3; then the value of x is

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

Correct Answer: 2

QID : 252 - At 9% discount the selling price of a washing machine is Rs 14000, what is the selling price if the discount is 22%?

Options:
1) Rs 12000
2) Rs 9360
3) Rs 10202.4
4) Rs 13322.4

Correct Answer: Rs 12000

QID : 253 - A rice trader buys 22 quintals of rice for Rs 3,344. 24% rice is lost in transportation. At what rate should he sell to earn 30% profit?

Options:
1) Rs 88.86 per quintal
2) Rs 197.6 per quintal
3) Rs 269.2 per quintal
4) Rs 260 per quintal

Correct Answer: Rs 260 per quintal

QID : 254 - Which of the following is correct?

Options:
1) (4x - 3y)² = 16x² - 12xy + 9y²
2) (4x + 3y)² = 16x² - 24xy + 9y²
3) (4x - 3y)² = 16x² + 12xy - 9y²
4) (4x - 3y)² = 16x² - 24xy + 9y²

Correct Answer: (4x - 3y)² = 16x² - 24xy + 9y²

QID : 255 - The point P(a,b) is first reflected in origin to P1, and P1 is reflected in y-axis to (5,-4). The co-ordinates of point P are

Options:
1) (-5,-4)
2) (-5,4)
3) (5,4)
4) (5,-4)

Correct Answer: (5,4)

QID : 256 - A missile travels at 1350 km/h. How many metres does it travel in one second?

Options:
1) 369 metres
2) 375 metres
3) 356 metres
4) 337 metres

Correct Answer: 375 metres

QID : 257 - If tan 330° = x, then the value of x is

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

Correct Answer: -1/√3

QID : 258 - What is the value of 3/4 + 8/9?

Options:
1) 57/27
2) 11/13
3) 59/36
4) 11/9

Correct Answer: 59/36

QID : 259 - If sinA/√(1 - sin2A) = x, then the value of x is

Options:
1) tanA
2) cotA
3) cosecA
4) cosA

Correct Answer: tanA

QID : 260 - What is the value of √[(1 - cosA)/(1 + cosA)]?

Options:
1) sinA/(1 - cosA)
2) sinA/(1 + cosA)
3) tanA/(1 + cosA)
4) tanA/(1 - cosA)

Correct Answer: sinA/(1 + cosA)

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QID : 261 - The slopes of two lines are 1 and 1/√3. What is the angle between these two lines?

Options:
1) 15°
2) 30°
3) 45°
4) 60°

Correct Answer: 15°

QID : 262 - What are the roots of the quadratic equation 21x2 - 37x - 28 = 0?

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

Correct Answer: 7/3, -4/7

QID : 263 - A rectangular swimming pool of length 25 m and breadth 12 m has a uniformly sloping floor. It is 2 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool?

Options:
1) 1500 cubic mts
2) 2250 cubic mts
3) 3000 cubic mts
4) 750 cubic mts

Correct Answer: 750 cubic mts

QID : 264 - Peeyush has done 1/3rd of a job in 30 days, Sanjiv completes the rest of the job in 60 days. In how many days can they together do the job?

Options:
1) 15 days
2) 45 days
3) 30 days
4) 10 days

Correct Answer: 45 days

QID : 265 - An angle is twice its complementary angle. What is the measure of the angle?

Options:
1) 30°
2) 90°
3) 60°
4) 120°

Correct Answer: 60°

QID : 266 - The first and last terms of an arithmetic progression are 33 and -57. What is the sum of the series if it has 16 terms?

Options:
1) -135
2) -192
3) -207
4) -165

Correct Answer: -192

QID : 267 - 27 is 3.6% of?

Options:
1) 750
2) 75
3) 1500
4) 1875

Correct Answer: 750

QID : 268 - In a Kite _____.

Options:
1) Two pairs of consecutive sides are congruent
2) Diagonals are perpendicular bisectors of each other
3) Both diagonals form two congruent triangles
4) Adjacent angles are supplementary

Correct Answer: Two pairs of consecutive sides are congruent

QID : 269 - The average weight of Sopan, Guruprasad and Rima is 65 kg. If the average weight of Sopan and Guruprasad be 67 kg and that of Guruprasad and Rima be 57 kg, then the weight of Guruprasad is

Options:
1) 60
2) 53
3) 58
4) 63

Correct Answer: 53

QID : 270 - A bank offers 5% compound interest per half year. A customer deposits Rs. 9600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

Options:
1) Rs 2928
2) Rs 1464
3) Rs 732
4) Rs 366

Correct Answer: Rs 1464

QID : 271 - By increasing the price of entry ticket to a fair in the ratio 3:5, the number of visitors to the fair has decreased in the ratio 7:2. In what ratio has the total collection increased or decreased?

Options:
1) increased in the ratio 10:21
2) increased in the ratio 6:35
3) decreased in the ratio 21:10
4) decreased in the ratio 35:6

Correct Answer: decreased in the ratio 21:10

QID : 272 -