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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" Morning Shift (Quantitative Aptitude)

QID : 51 - Point P is the midpoint of segment AB. Co-ordinates of P are (5,-4) and A are (7,0). What will be the co-ordinates of point B?

Options:

1) (3, -8)

2) (-3, -8)

3) (3, 8)

4) (-3, 8)

Correct Answer: (3, -8)

QID : 52 - What is the value of 299996 x 300004?

Options:

1) 89999999984

2) 89999699984

3) 89999999884

4) 89999999974

Correct Answer: 89999999984

QID : 53 - The mean of marks secured by 35 students in division A of class X is 65, 45 students of division B is 61 and that of 70 students of division C is 59. What is the mean of marks of the students of three divisions of Class X?

Options:

1) 60.3

2) 59.6

3) 61

4) 62.4

Correct Answer: 61

QID : 54 - If 5(4 - x) - 4 > 5x -2 > 2x - 6, then the value of x is

Options:

1) -2

2) 2

3) -1

4) 3

Correct Answer: -1

QID : 55 - Slope of the side DA of the rectangle ABCD is 5/3. What is the slope of the side AB?

Options:

1) 3/5

2) -5/3

3) 5/3

4) -3/5

Correct Answer: -3/5

QID : 56 - If cos -225° = x, then the value of x is

Options:

1) 1/2

2) √3/2

3) -2/√3

4) -1/√2

Correct Answer: -1/√2

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QID : 57 - If 2x - 3 = 3x - 5, then the numerical value of (x - 3)2 is

Options:

1) 5

2) 1

3) -1

4) -5

Correct Answer: 1

QID : 58 - ΔABC is right angled at B. BD is the altitude. AD is 18 cm and DC is 50 cm. Find length of BD?

Options:

1) 30 cm

2) 25 cm

3) 35 cm

4) 15 cm

Correct Answer: 30 cm

QID : 59 - There is 40% increase in an amount in 10 years at simple interest. What will be the compound interest of Rs 25000 after 2 years at the same rate?

Options:

1) Rs 4080

2) Rs 5100

3) Rs 3060

4) Rs 2040

Correct Answer: Rs 2040

QID : 60 - If √(1 + cot²A)/cotA = x, then the value of x is

Options:

1) sinA

2) cosecA

3) secA

4) cosA

Correct Answer: secA

QID : 61 - What is the value of (cosecA - cotA) / (secA + tanA)?

Options:

1) (secA + tanA)/(cosecA - cotA)

2) √[(secA - tanA)/(cosecA + cotA)]

3) (secA - tanA)/(cosecA + cotA)

4) √[(secA + tanA)/(cosecA - cotA)]

Correct Answer: (secA - tanA)/(cosecA + cotA)

QID : 62 - An engineering student has to secure 45% marks to pass. He gets 54 and fails by 36 marks. Find the maximum marks.

Options:

1) 200 marks

2) 225 marks

3) 250 marks

4) 275 marks

Correct Answer: 200 marks

QID : 63 - When a discount of 25% is given on a box of popcorn, the proﬁt is 25%. If the discount is 10%, then the proﬁt is

Options:

1) 35 percent

2) 50 percent

3) 20 percent

4) 65 percent

Correct Answer: 50 percent

QID : 64 - A cylindrical vessel of height 9 cm and radius 7 cm is completely ﬁlled with sand. When this sand is poured out it forms a right circular cone of radius 10 cm what will be the height of this cone?

Options:

1) 26.46 cm

2) 39.69 cm

3) 13.23 cm

4) 52.92 cm

Correct Answer: 13.23 cm

QID : 65 - Munni can bake 70 cakes in 7 hours, Munni and Guddi together can bake 90 cakes in 6 hours. How many cakes Guddi can bake in 10 hours?

Options:

1) 100

2) 50

3) 125

4) 25

Correct Answer: 50

QID : 66 - In a rectangle ...............

Options:

1) Diagonals are perpendicular to each other

2) Diagonals are not equal

3) Diagonals bisect each other

4) Diagonals bisect opposite angles

Correct Answer: Diagonals bisect each other

QID : 67 - The bus fare between two cities is increased in the ratio 25:29. Find the increase in the fare, if the original fare is Rs. 625

Options:

1) Rs 725

2) Rs 145

3) Rs 290

4) Rs 100

Correct Answer: Rs 100

QID : 68 - If x - y = -6 and x + y = 16, then x² - y² is?

Options:

1) 96

2) -96

3) 22

4) -22

Correct Answer: -96

QID : 69 - Three consecutive natural numbers are such that the square of the greatest is greater than the product of the other two by 16. The smallest of these numbers is

Options:

1) 5

2) 6

3) 7

4) 4

Correct Answer: 4

QID : 70 - Daily local train ticket costs Rs 60 and Monthly Pass costs Rs 1566. If I buy the Monthly Pass and travel for 29 days in a month than I save?

Options:

1) 10 percent

2) 14 percent

3) 15 percent

4) 12 percent

Correct Answer: 10 percent

QID : 71 - A missile travels at 1206 km/h. How many metres does it travel in one second?

Options:

1) 355 metres

2) 318 metres

3) 302 metres

4) 335 metres