# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 2 February 2017" Morning Shift (Mathematics)

## SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 2 February 2017"

## Morning Shift (Mathematics)

**QID : 51 **- Which of the following is correct?

**Options:**

**1**) (4x - 5y)^{2} = 16x^{2} - 20xy + 25y^{2}

**2**) (4x - 5y)^{2} = 16x^{2} + 40xy - 25y^{2}

**3**) (4x - 5y)^{2} = 16x^{2} - 40xy + 25y^{2}

**4**) (4x - 5y)^{2} = 16x^{2} - 20xy - 25y^{2}

**Correct Answer: **(4x - 5y)^{2} = 16x^{2} - 40xy + 25y^{2}

**QID : 52 **- If the radius of a circle is increased by 15% its area increases by .

**Options:**

**1**) 30 percent

**2**) 32.25 percent

**3**) 15 percent

**4**) 16.125 percent

**Correct Answer: **32.25 percent

**QID : 53 **- Ticket for an adult is Rs 1600 and a child is Rs 600. 1 child goes free with two adults. If a group has 17 adults and 7 children what is the discount the group gets?

**Options:**

**1**) 13.37 percent

**2**) 26.02 percent

**3**) 24.41 percent

**4**) 32.2 percent

**Correct Answer: **13.37 percent

**QID : 54 **- When 0.090909.....is converted into a fraction, then the result is

**Options:**

**1**) 1/33

**2**) 1/11

**3**) 2/33

**4**) 6/11

**Correct Answer: **1/11

**QID : 55 **- The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.

**Options:**

**1**) Rs 605

**2**) Rs 121

**3**) Rs 330

**4**) Rs 242

**Correct Answer: **Rs 330

**QID : 56 **- The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 9% per annum is Rs 405. The sum is .

**Options:**

**1**) Rs 50000

**2**) Rs 100000

**3**) Rs 200000

**4**) Rs 150000

**Correct Answer: **Rs 50000

**QID : 57 **- Which of the following quadratic equations has real roots?

**Options:**

**1**) 4x^{2} - 7x + 5 = 0

**2**) 5x^{2} - 11x + 7 = 0

**3**) 5x^{2} - 11x + 8 = 0

**4**) 2x^{2} - 7x + 5 = 0

**Correct Answer: **2x^{2} - 7x + 5 = 0

**QID : 58 **- If 5x + 5 > 2 + 2x and 5x + 3 ≤ 4x + 5; then x can take which of the following values?

**1**) 3

**2**) -2

**3**) -3

**4**) 1

**Correct Answer: **1

**QID : 59 **- The 4th term of an arithmetic progression is 15, 15th term is -29, ﬁnd the 10th term?

**Options:**

**1**) -5

**2**) -13

**3**) -17

**4**) -9

**Correct Answer: **-9

**QID : 60 **- In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

**Options:**

**1**) 1:3

**2**) 3:2

**3**) 3:1

**4**) 2:3

**Correct Answer: **3:1

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**QID : 61 **- A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is

**Options:**

**1**) 13/20

**2**) 1/3

**3**) 1/6

**4**) 2/9

**Correct Answer: **13/20

**QID : 62 **- At what point does the line 4x - 3y = -6 intercept the y-axis?

**Options:**

**1**) (0,2)

**2**) (0,3/2)

**3**) (2,0)

**4**) (3/2,0)

**Correct Answer: **(0,2)

**QID : 63 **- In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, ﬁnd length of

**Options:**

**1**) 2.4 cm

**2**) 4.8 cm

**3**) 3.6 cm

**4**) 9.6 cm

**Correct Answer: **9.6 cm

**QID : 64 **- The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.

**1**) 50.3

**2**) 49.6

**3**) 51

**4**) 52.4

**Correct Answer: **51

**QID : 65 **- In a triangle the length of the side opposite the right angle is 9√3 cm, what is the length of the side opposite to the angle which measures 30 degree?

**Options:**

**1**) 9 cm

**2**) 3√3 cm

**3**) 6 cm

**4**) (9√3)/2 cm

**Correct Answer: **(9√3)/2 cm

**QID : 66 **- Two cars travel from city A to city B at a speed of 30 and 44 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

**Options:**

**1**) 330 km

**2**) 396 km

**3**) 495 km

**4**) 264 km

**Correct Answer: **330 km

**QID : 67 **- Rajeev sells a machine for Rs 55 lakhs at a loss. Had he sold it for Rs 67 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

**Options:**

**1**) Rs 65 lakhs

**2**) Rs 57 lakhs

**3**) Rs 78 lakhs

**4**) Rs 49 lakhs

**Correct Answer: **Rs 57 lakhs

**QID : 68 **- Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, ﬁnd the height of the cylinder?

**Options:**

**1**) 12 cm

**2**) 24 cm

**3**) 36 cm

**4**) 6 cm

**Correct Answer: **12 cm

**QID : 69 **- What is the value of sin 5π/3?

**1**) √3/2

**2**) 2/√3

**3**) 1/√3

**4**) -2/√3

**Correct Answer: **√3/2

**QID : 70 **- cos3A is equal to

**Options:**

**1**) cos^{3}A - 3sin^{2}cosA

**2**) cos^{3}A + 4sin^{2}cosA

**3**) cos^{3}A + 3sin^{2}cosA

**4**) cos^{3}A - 4sin^{2}cosA

**Correct Answer: **cos^{3}A + 3sin^{2}cosA

**QID : 71 **- 2 sec^{2}A is equal to

**Options:**

**1**) (1 - tanA)^{2} - (1 + tanA)^{2}

**2**) √[(1 - tanA)^{2} + (1 + tanA)^{2}]

**3**) √[(1 - tanA)^{2} - (1 + tanA)^{2}]

**4**) (1 - tanA)^{2 }+ (1 + tanA)^{2}

**Correct Answer: **(1 - tanA)^{2} + (1 + tanA)^{2}

**QID : 72 **-

**Options:**

**1**) Anita

**2**) Anjali

**3**) Anjalika

**4**) Anjana

**Correct Answer: **Anjalika

**QID : 73 **-

**Options:**

**1**) 472.5

**2**) 495

**3**) 517.5

**4**) 450

**Correct Answer: **472.5

**QID : 74 **-

**Options:**

**1**) 1.74

**2**) 1.99

**3**) 1.24

**4**) 1.49

**Correct Answer: **1.49

**Options:**

**1**) 300000 shares

**2**) 315000 shares

**3**) 330000 shares

**4**) 285000 shares

**Correct Answer: **315000 shares