# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 03 February 2017" Morning Shift (Quantitative Aptitude)

## SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 03 February 2017"

## Morning Shift (Quantitative Aptitude)

**QID : 51 ** - In a class of 60 students there are 30 girls. The average weight of these girls is 58 Kg and average weight of the full class is 63 kgs. What is the average weight of the boys of the class?

**Options:**

**1**) 67

**2**) 66

**3**) 68

**4**) 65

**Correct Answer: ** 68

**QID : 52 ** - Two students appeared for an examination. One of them secured 21 marks more than the other and his marks were 80% of the sum of their marks. The marks obtained by them are

**Options:**

**1**) 88 and 67

**2**) 89 and 68

**3**) 28 and 7

**4**) 98 and 77

**Correct Answer: ** 28 and 7

**QID : 53 ** - Pannalal has done 1/3rd of a job in 20 days, Saiprasad completes the rest of the job in 10 days. In how many days can they together do the job?

**Options:**

**1**) 12 days

**2**) 6 days

**3**) 3 days

**4**) 24 days

**Correct Answer: ** 12 days

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**QID : 54 ** - If Giridhar's salary is 5/3 times of Hariraj's and Shaunak's is 2/3 times of Hariraj's, what is the ratio of Giridhar's salary to Shaunak's.

**Options:**

**1**) 9:10

**2**) 10:9

**3**) 5:2

**4**) 2:5

**Correct Answer: ** 5:2

**QID : 55 ** - If sec -7π/4 = x, then the value of x is

**Options:**

**1**) √2

**2**) -√2

**3**) -1/√3

**4**) -1

**Correct Answer: ** √2

**QID : 56 ** - What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?

**Options:**

**1**) 6

**2**) 4

**3**) 2

**4**) 3

**Correct Answer: ** 3

**QID : 57 ** - If tan(A/2) = x, then the value of x is

**Options:**

**1**) (1 - cosA)/sinA

**2**) (1 + cosA)/sinA

**3**) √[(1 - cosA)/sinA]

**4**) √[(1 + cosA)/sinA]

**Correct Answer: ** (1 - cosA)/sinA

**QID : 58 ** - If (secA - tanA)^{2} = x, then the value of x is

**Options:**

**1**) (1 + sinA)/(1 - sinA)

**2**) √[(1 - sinA)/(1 + sinA)]

**3**) (1 - sinA)/(1 + sinA)

**4**) √[(1 + sinA)/(1 - sinA)]

**Correct Answer: ** (1 - sinA)/(1 + sinA)

**QID : 59 ** - If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

**Options:**

**1**) 48 cm

**2**) 24 cm

**3**) 8 cm

**4**) 12 cm

**Correct Answer: ** 24 cm

**QID : 60 ** - Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:3, and area of Δ APQ is 8 sq cm, what is the area of trapezium PQCB?

**Options:**

**1**) 50 sq cm

**2**) 18 sq cm

**3**) 14 sq cm

**4**) 42 sq cm

**Correct Answer: ** 42 sq cm

**QID : 61 ** - Find equation of the perpendicular bisector of segment joining the points (2,-5) and (0,7)?

**Options:**

**1**) x - 6y = 5

**2**) x + 6y = -5

**3**) x - 6y = -5

**4**) x + 6y = 5

**Correct Answer: ** x - 6y = -5

**QID : 62 ** - Raghunandan sells a machine for Rs 45 lakhs at a loss. Had he sold it for Rs 55 lakh, his gain would have been 9 times the former loss. Find the cost price of the machine.

**Options:**

**1**) Rs 54 lakhs

**2**) Rs 46 lakhs

**3**) Rs 60 lakhs

**4**) Rs 38 lakhs

**Correct Answer: ** Rs 46 lakhs

**QID : 63 ** - What is the measure of an interior angle of a regular decagon?

**Options:**

**1**) 120°

**2**) 140°

**3**) 144°

**4**) 150°

**Correct Answer: ** 144°

**QID : 64 ** - The circumference of a circle is 88 cm, ﬁnd its area?

**Options:**

**1**) 616 sq cm

**2**) 308 sq cm

**3**) 154 sq cm

**4**) 77 sq cm

**Correct Answer: ** 616 sq cm

**QID : 65 ** - At 15% discount the selling price of a microwave oven is Rs 34000, what is the selling price if the discount is 37.5%?

**Options:**

**1**) Rs 25000

**2**) Rs 15625

**3**) Rs 17968.75

**4**) Rs 29218.75

**Correct Answer: ** Rs 25000

**QID : 66 ** - Coefﬁcient of x in (x + 9)(8 - 5x) is

**Options:**

**1**) 37

**2**) -53

**3**) -37

**4**) 53

**Correct Answer: ** -37

**QID : 67 ** - At what rate of compound interest per annum will a sum of Rs 10000 become Rs 12321 in 2 years?

**Options:**

**1**) 22 percent

**2**) 11 percent

**3**) 7 percent

**4**) 15 percent

**Correct Answer: ** 11 percent

**QID : 68 ** - If x - y = -9 and xy = -20, then ﬁnd x^{2} + y^{2}

**Options:**

**1**) 61

**2**) 41

**3**) 85

**4**) 113

**Correct Answer: ** 41

**QID : 69 ** - Two cars travel from city A to city B at a speed of 36 and 54 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**) 454 km

**2**) 567 km

**3**) 302 km

**4**) 378 km

**Correct Answer: ** 378 km

**QID : 70 ** - Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

**Options:**

**1**) 98

**2**) 89

**3**) 78

**4**) 87

**Correct Answer: ** 89

**QID : 71 ** - If 4x - 5(2x - 1) > 2x + 3 > 2 - 3x; then x can take which of the following values?

**Options:**

**1**) 1

**2**) 0

**3**) 2

**4**) -3

**Correct Answer: ** 0

**QID : 72 ** -

**Options:**

**1**) 862857

**2**) 6039999

**3**) 260000

**4**) 412000

**Correct Answer: ** 862857

**QID : 73 ** -

**Options:**

**1**) 2011 & 2013

**2**) 2013 & 2015

**3**) 2011 & 2012

**4**) 2014 & 2015

**Correct Answer: ** 2011 & 2012

**QID : 74 ** -

**Options:**

**1**) Proﬁt of Rs 50 crores

**2**) Loss of Rs 60 crores

**3**) Loss of Rs 50 crores

**Correct Answer: ** Loss of Rs 50 crores

**QID : 75 ** -

**Options:**

**1**) 28.64 percent

**2**) 31.14 percent

**3**) 23.64 percent

**4**) 26.14 percent

**Correct Answer: ** 26.14 percent