Exam Paper: SSC CHSL (Tier - 1) Online Exam held on 01.02.2017 Afternoon Shift (Mathematics)

SSC CHSL (Tier - 1) Online Examination

Held on 1 February 2017 (Afternoon Shift)

(Mathematics)


QID : 151 ­ The value of x for which the expressions 15 ­ 7x and 15x + 7 become equal is                                                               .

Options:

1) ­4/11

2) 11/4

3) ­11/4

4) 4/11

Correct Answer: 4/11

QID : 152 ­ The largest 5 digit number exactly divisible by 95 is          .

1) 99936

2) 99935

3) 99940

4) 99933

Correct Answer: 99940

QID : 153 ­ If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

Options:

1) 9/14

2) 14/9

3) ­9/14

4) ­14/9

Correct Answer: ­9/14

QID : 154 ­ If 5 ­ 3x < 4 ­ x and 5(2 ­ x) > 2 ­ 2x, then x can take which of the following values?

Options:

1) 0

2) ­1

3) 1

4) 3

Correct Answer: 1

QID : 155 ­ The average revenues of 9 consecutive years of a company is Rs 76 lakhs. If the average of first 5 years is Rs 71 lakhs and that of last 5 years is Rs 83 lakhs, find the revenue for the 5th year.

1) Rs 88 lakhs

2) Rs 84 lakhs

3) Rs 86 lakhs

4) Rs 82 lakhs

Correct Answer: Rs 86 lakhs

QID : 156 ­ If 2x + 3y = 0 and 3x ­ 4y = 34, then x ­ y =         

Options:

1) 10

2) ­10

3) 2

4) ­2

Correct Answer: 10

QID : 157 ­ 5 hrs after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 9 hours. What is the speed of the goods train?

1) 45 km/hr

2) 54 km/hr

3) 67.5 km/hr

4) 36 km/hr

Correct Answer: 45 km/hr

QID : 158 ­ Marked price of an item is Rs 200. On purchase of 1 item discount is 22%, on purchase of 4 items discount is 33%. Rabia buys 5 items, what is the effective discount?

Options:

1) 35 percent

2) 30.8 percent

3) 34 percent

4) 20.4 percent

Correct Answer: 30.8 percent

QID : 159 ­ Find two numbers such that their mean proportion is 8 and third proportion is 64.

1) 4 and 8

2) 8 and 16

3) 8 and 8

4) 4 and 16

Correct Answer: 4 and 16

QID : 160 ­ Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in         .

Options:

1) 15 days

2) 60 days

3) 20 days

4) 10 days

Correct Answer: 15 days

QID : 161 ­ At what rate of compound interest per annum will a sum of Rs 20000 become Rs 23328 in 2 years?

1) 8 percent

2) 16 percent

3) 24 percent

4) 12 percent

Correct Answer: 8 percent

QID : 162 ­ ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?

Options:

1) 72 sq cm

2) 144 sq cm

3) 36 sq cm

4) 487.5 sq cm

Correct Answer: 144 sq cm

QID : 163 ­ What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

1) 5

2) 3/5

3) 5/3

4) 1/5

Correct Answer: 5

QID : 164 ­ A pentagonal prism has 15 edges. How many vertices does it have?

Options:

1) 12

2) 10

3) 15

4) 20

Correct Answer: 10

QID : 165 ­ The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 49π sq cm?

Options:

1) 196 sq cm

2) 154 sq cm

3) 124 sq cm

4) 98 sq cm

Correct Answer: 196 sq cm

QID : 166 ­ The radius of a hemisphere is 7 cm, find its volume?

Options:

1) 718.67 cubic cm

2) 1437.34 cubic cm

3) 239.56 cubic cm

4) 359.34 cubic cm

Correct Answer: 718.67 cubic cm

 

QID : 167 ­ 29 is 0.8% of?

Options:

1) 3625

2) 1450

3) 7250

4) 10875

Correct Answer: 3625

QID : 168 ­ If sin ­ 5π/3 = x, then the value of x is

Options:

1) ­√3/2

2) √3/2

3) ­2

4) ­2/√3

Correct Answer: √3/2

QID : 169 ­ If (tanA + tanB)/(1 ­ tanAtanB) = x, then the value of x is

Options:

1) tan(A + B)

2) tan(A ­ B)

3) cot(A + B)

4) cot(A ­ B)

Correct Answer: tan(A + B)

QID : 170 ­ If 1/(cosecA ­ cotA) = x, then the value of x is

Options:

1) cosecA + cotA

2) cosecA ­ cotA

3) cosec2A + cot2A

4) √[cosec2A + cot2A]

Correct Answer: cosecA + cotA

QID : 171 ­ A vendor buys oranges at the rate of 5 for Rs 6 and sells at the rate of 2 for Rs 3. What will be the result?

Options:

1) 25 percent loss

2) 25 percent gain

3) 20 percent gain

4) 20 percent loss

Correct Answer: 25 percent gain