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

QID : 51 - The bus fare between two cities is increased in the ratio 1:2. Find the increase in the fare, if the original fare is Rs. 175.

Options:

1) Rs 350

2) Rs 70

3) Rs 140

4) Rs 175

Correct Answer: Rs 175

QID : 52 - On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

Options:

1) 3507

2) 3543

3) 3489

4) 3561

Correct Answer: 3543

QID : 53 - The sum of 2xy(3x + 4y - 5z) and 5yz(2x - 3y) is

1) 6x²y - 8xy² + 15y²z

2) 6x²y + 8xy² - 15y²z

3) 6x²y + 8xy² - 15y²z - 20xyz

4) 6x²y - 8xy² + 15y²z + 20xyz

Correct Answer: 6x²y + 8xy² - 15y²z

QID : 54 - The length, breadth and height of a cuboid are 10 cm, 6 cm and 4 cm respectively. What is the total surface area?

Options:

1) 248 sq cms

2) 496 sq cms

3) 124 sq cms

4) 372 sq cms

Correct Answer: 248 sq cms

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QID : 55 - One internal angle of a rhombus of side 12 cm is 120°. What is the length of its longer diagonal?

Options:

1) 6√3 cm

2) 12√2 cm

3) 6√2 cm

4) 12√3 cm

Correct Answer: 12√3 cm

QID : 56 - There is 40% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 25000 after 3 years at the same rate?

Options:

1) Rs 6492.8

2) Rs 12985.6

3) Rs 16232

4) Rs 9739.2

Correct Answer: Rs 6492.8

QID : 57 - Suresh goes on a trip on his motor-cycle and rides for 410 kms. If he rides for 5 hours at a speed of 50 km/hr, ﬁnd at what speed he travels for the remaining 4 hours of the journey?

Options:

1) 47 km/hr

2) 40 km/hr

3) 56 km/hr

4) 48 km/hr

Correct Answer: 40 km/hr

QID : 58 - If the radius of a circle is increased by 25%, its area increases by:

Options:

1) 50 percent

2) 25 percent

3) 28.125 percent

4) 56.25 percent

Correct Answer: 56.25 percent

QID : 59 - A shopkeeper, sold cashew nuts at the rate Rs 1,260 a kg and bears a loss of 8%. Now if he decides to sell it at Rs 1,386 per kg, what will be the result?

Options:

1) 1.2 percent gain

2) 2.4 percent gain

3) 1.2 percent loss

4) 2.4 percent loss

Correct Answer: 1.2 percent gain

QID : 60 - If (1 - sinA)/(1 + sinA) = x, then x is

Options:

1) (cosecA - cotA)²

2) secA - tanA

3) (secA - tanA)²

4) cosecA - cotA

Correct Answer: (secA - tanA)²

QID : 61 - An angle is thrice its complementary angle. What is the measure of the angle?

Options:

1) 22.5°

2) 135°

3) 45°

4) 67.5°

Correct Answer: 67.5°

QID : 62 - What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

Options:

1) 6 cm

2) 24 cm

3) 12 cm

4) 18 cm

Correct Answer: 12 cm

QID : 63 - If cosπ/4c - tanπ/4c = x, then x is

Options:

1) (√3+4)/2√3

2) (2√2-1)/2

3) (1-√2)/√2

4) 5/√3

Correct Answer: (1-√2)/√2

QID : 64 - If tanA = x, then x is

Options:

1) √(cosec2A + 1)

2) √(sec2A + 1)

3) √(cosec2A - 1)

4) √(sec2A - 1)

Correct Answer: √(sec2A - 1)

QID : 65 - If the shopkeeper sells an item at Rs 1250 which is marked as Rs 1500, then what is the discount he is offering?

Options:

1) 20 percent

2) 16.67 percent

3) 25 percent

4) 10 percent

Correct Answer: 16.67 percent

QID : 66 - The slopes of two lines are 1 and √3. What is the angle between these two lines?

Options:

1) 15°

2) 30°

3) 45°

4) 60°

Correct Answer: 15°

QID : 67 - Parimal has done 1/4th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

Options:

1) 8 days

2) 24 days

3) 12 days

4) 16 days

Correct Answer: 16 days

QID : 68 - If 4x -7 < x - 2 and 5x +2/3 ≥ 3x + 1; then x can take which of the following values?

Options:

1) 2

2) -1

3) -2

4) 1

Correct Answer: 1

QID : 69 - The sum of the ages of brother and sister at present is 21. Five years ago the product of their ages was 28. What is the age of the brother and the sister?

Options:

1) 9, 12

2) 6, 15

3) 7, 14

4) 8, 13

Correct Answer: 9, 12

QID : 70 - The solution set of 4x - 3y = 47 and 3x + y = 32 is

Options:

1) {(15, 3)}

2) {(4, 12)}

3) {(11, -1)}

4) {(12, 3)}

Correct Answer: {(11, -1)}

QID : 71 - In a class of 55 students there are 34 girls. The average weight of these girls is 51 Kg and average weight of the full class is 55.2 kgs. What is the average weight of the boys of the class?

Options:

1) 62

2) 59.4

3) 56.8

4) 60

Correct Answer: 62

QID : 72 -