SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 25 January 2017" Evening Shift (Quantitative Aptitude)

QID : 251 ­ If 5(4­x) ­4 < 3x ­2 > 4x ­ 6; then the value of x is

Options:

1) 3

2) 1

3) 2

4) 5

Correct Answer: 3

QID : 252 ­ Mother can bake 20 cakes in 4 hours, Mother and Dadima together can bake 60 cakes in 10 hours. How many cakes Dadima can bake in 30 hours?

Options:

1) 30

2) 75

3) 60

4) 25

Correct Answer: 30

QID : 253 ­ What is the value of 99992 x 100008?

Options:

1) 9999999936

2) 9999899936

3) 9999999836

4) 9999999926

Correct Answer: 9999999936

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QID : 254 ­ Of the 3 numbers whose average is 70, the first is 1/9 times the sum of other 2. The first number is

Options:

1) 32

2) 21

3) 14

4) 42

Correct Answer: 21

QID : 255 ­ Point P is the midpoint of seg AB. Co­ordinates of P are (­1,1) and A are (4,3). What are the co­ordinates of point B?

Options:

1) (6, 1)

2) (­6, ­1)

3) (6, ­1)

4) (­6, 1)

Correct Answer: (­6, ­1)

QID : 256 ­ If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 33708, and Rs 35730.48 respectively, what is the rate of interest?

Options:

1) 6 percent

2) 3 percent

3) 12 percent

4) 10 percent

Correct Answer: 6 percent

QID : 257 ­ Slope of the side DA of the rectangle ABCD is 1/3. What is the slope of the side AB?

Options:

1) 3

2) 1/3

3) ­1/3

4) ­3

Correct Answer: ­3

QID : 258 ­ If the radius of a circle is increased by 29% its area increases by

Options:

1) 58 percent

2) 29 percent

3) 33.205 percent

4) 66.41 percent

Correct Answer: 66.41 percent

QID : 259 ­ A shopkeeper by selling 23 Lotto shoes, earns a profit equal to the selling price of 7 Lotto shoes. His profit percentage is

Options:

1) 43.75 percent

2) 30.4 percent

3) 60.8 percent

4) 17.05 percent

Correct Answer: 43.75 percent

QID : 260 ­ If 3x ­ 7 = 5x ­ 1, then the numerical value of (x ­ 4)2 is

Options:

1) 1

2) 49

3) ­49

4) ­1

Correct Answer: 49

QID : 261 ­ If Giri's salary is 9/5 times of Hariprasad's and Shaukat's is 9/2 times of Hariprasad's, what is the ratio of Giri's salary to Shaukat's?

Options:

1) 10:81

2) 81:10

3) 5:2

4) 2:5

Correct Answer: 2:5

QID : 262 ­ If sin ­330° = x, then the value of x is

Options:

1) √3/2

2) 1/2

3) ­2/√3

4) √2

Correct Answer: 1/2

QID : 263 ­ If x ­ y = ­7 and x + y = 13, then x² ­ y² is

Options:

1) 91

2) 30

3) ­30

4) ­91

Correct Answer: ­91

QID : 264 ­ A car travels a certain distance at 34 km/h and comes back at 66 km/h. What is the average speed for total journey?

Options:

1) 50 km/hr

2) 39.76 km/hr

3) 55.12 km/hr

4) 44.88 km/hr

Correct Answer: 44.88 km/hr

QID : 265 ­ 30% discount is offered on an item. By applying a promo code the customer wins 10% cash back. What is the effective discount?

Options:

1) 40.7 percent

2) 40 percent

3) 37 percent

4) 13 percent

Correct Answer: 37 percent

1QID : 266 ­ A cylindrical vessel of height 7 cm and radius 5 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 8 cm what will be the height of this cone?

Options:

1) 8.2 cm

2) 16.4 cm

3) 24.6 cm

4) 32.8 cm

Correct Answer: 8.2 cm

QID : 267 ­ What is the value of cosecA/√(cosec²A ­ 1)?

Options:

1) sinA

2) secA

3) tanA

4) cosA

Correct Answer: secA

QID : 268 ­ ΔABC is right angled at B. BD is the altitude. AD is 8 cm and DC is 50 cm. What is the length of BD?

Options:

1) 25 cm

2) 20 cm

3) 16 cm

4) 15 cm

Correct Answer: 20 cm

QID : 269 ­ If secA ­ tanA = x, then the value of x is

Options:

1) √[(1 + sinA)/(1 ­ sinA)]

2) √[(1­sinA)/(1+sinA)]

3) (1­sinA)/(1+sinA)

4) (1 + sinA)/(1 ­ sinA)

Correct Answer: √[(1­sinA)/(1+sinA)]

QID : 270 ­ In a rectangle

Options:

1) Diagonals bisect opposite angles

2) Consecutive sides are congruent

3) All sides are congruent

4) Diagonals form two congruent triangles

Correct Answer: Diagonals form two congruent triangles

QID : 271 ­ Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

Options:

1) 6/15, ­10/3

2) 6/5, ­10/3

3) 7/2, ­8/7

4) ­10/7, 14/5

Correct Answer: 6/5, ­10/3

QID : 272 -

Options:

1) 621.5

2) 120

3) 62.15

4) 300

Correct Answer: 62.15

QID : 273 ­

Options:

1) 1700

2) 1500

3) 1417

4) 2040

Correct Answer: 2040

QID : 274 ­

Options:

1) 75 cms

2) 70 cms

3) 65 cms

4) 80 cms

Correct Answer: 70 cms

QID : 275 ­

1) 4 hours

2) 3 hours

3) 2 hours

4) 4.5 hours

Correct Answer: 4 hours

Printed Study Kit for SSC CHSL (10+2) Exam

Study Material for Junior Engineer (Civil / Electrical / Mechanical Engineering) Examination

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