# SSC CGL 2017 EXAM PAPER : Held on 11-AUG-2017 Shift-3 (Mathematics)

**SSC CGL 2017 EXAM PAPER : Held on 11-AUG-2017 Shift-3**

**(Mathematics)**

**QID : 251 -** If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?

**Options:**

1) 5

2) 6

3) 7

4) 8**Correct Answer**: 8

**QID : 252** - A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day?

**Options:**

1) 4

2)

3)

4)

**Correct Answer:**

**QID : 253 -**

**Options:**

1) 7

2) 14

3) 28

4) 35**Correct Answer:** 28

**QID : 254 -** A shopkeeper allows 25% discount on the marked price of an article and he suffered a loss of 15%. What will be the profit percent if the article is sold at marked price?

**Options:**

1) 11.76

2) 12.12

3) 13.33

4) 14.28**Correct Answer:** 13.33**QID : 255** - Three boxes of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of wheat A, B and C respectively. All the three boxes were emptied and the three types of wheat were thoroughly mixed and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the third box (in kg)?

**Options:**

1) 10

2) 12

3) 14

4) 16**Correct Answer:** 14

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**QID : 256** - A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

**Options:**

1) 30

2) 32

3) 40

4) 56**Correct Answer:** 40

**QID : 257 **- A man gains 15% by selling a calculator for a certain price. If he sells it at the triple the price, then what will be the profit percentage?

**Options:**

1) 125

2) 175

3) 225

4) 245**Correct Answer**: 245**QID : 258 -** In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for loosing candidate?

**Options:**

1) 38500

2) 11550

3) 26950

4) 13550**Correct Answer: **11550**QID : 259 **- A boat goes 4 km upstream and 4 km downstream in 1 hour. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of boat in still water?

**Options:**

1) 6.5

2) 7.75

3) 9

4) 10.5**Correct Answer:** 9

**QID : 260 **- Simple Interest received by a person in 10 years on a principal of Rs 9500 is 130% of the principal. What is the rate of interest (in %) per annum?

**Options:**

1) 12

2) 13

3) 15

4) 19**Correct Answer:** 13

**QID : 261 **- For what value of k, the expression x6 – 18x3 + k will be a perfect square?

**Options:**

1) – 9

2) – 81

3) + 9

4) + 81**Correct Answer**: + 81

**QID : 262 - **

**Options:**

1) 5/2

2) 25/3

3) 4

4) 3**Correct Answer: **3**QID : 263 **- If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3 + z3?

**Options:**

1) 104

2) 144

3) 196

4) 288**Correct Answer:** 288**QID : 264 -**

**Options:**

1) 0

2) 2

3) 4

4) (√a + √b)/(√a – √b)**Correct Answer:** 2

**QID : 265 -** In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circumcircle of the triangle?

**Options:**

1) 5

2) 6

3) 6.5

4) 6√2**Correct Answer**: 6.5**QID : 266 **- If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

**Options:**

1) 1 : 1

2) 2 : 1

3) 3 : 1

4) √2 : 1**Correct Answer: **1 : 1

**QID : 267** - The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

**Options:**

1) 6√3

2) 8√3

3) 9

4) 9√3**Correct Answer:** 9√3

**QID : 268 -** P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

**Options:**

1) 1.5

2) 2

3) 2.5

4) 3**Correct Answer**: 2.5

**QID : 269 -** What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

**Options:**

1) tan θ

2) cot 2θ

3) tan 2θ

4) cot θ**Correct Answer:** tan 2θ**QID : 270 -** If tan θ + cot θ = x, then what is the value of tan4 θ + cot4 θ?

**Options:**

1) (x3 – 3)2 + 2

2) (x4 – 2x) + 4

3) x(x – 4) + 2

4) x2(x2 – 4) + 2**Correct Answer**: x2(x2 – 4) + 2

**QID : 271 **- If tan2 θ + cot2 θ = 2, then what is the value of 2sec θ cosec θ?

**Options:**

1) 0

2) 1

3) 2

4) 4**Correct Answer**: 4

**QID : 272 - **

What is the percentage increase in education loan disbursed by Bank 2 from 2010 to 2014?

**Options:**

1) 85.42

2) 87.69

3) 89.21

4) 83.18**Correct Answer**: 87.69**
QID : 273 - **

Which banks show a continuous trend of increase/decrease in loan amount disbursed over 5 years?

**Options:**

1) Bank 1 and Bank 4

2) Bank 1, Bank 4 and Bank 3

3) Bank 1, Bank 4 and Bank 5

4) Bank 4 and Bank 5**Correct Answer**: Bank 1, Bank 4 and Bank 5**QID : 274 - **

What can be said about the two following ratios?

I. Loan amount disbursed by Bank 1 in 2011/ Loan amount disbursed by Bank 2 in 2014

II. Loan amount disbursed by Bank 3 in 2014/ Loan amount disbursed by Bank 4 in 2011

**Options:**

1) I > II

2) I < II

3) I = II

4) No relation**Correct Answer**: I > II**QID : 275 - **

Which of the following is the correct order of percentage increase in loan amount disbursed by the given banks from 2010 to 2014?

**Options:**

1) Bank 3 > Bank 5 > Bank 2 > Bank 1 > Bank 4

2) Bank 2 > Bank 3 > Bank 5 > Bank 1 > Bank 4

3) Bank 5 > Bank 2 > Bank 3 > Bank 4 > Bank 1

4) Bank 2 > Bank 5 > Bank 4 > Bank 3 > Bank 1

**Correct Answer**: Bank 5 > Bank 2 > Bank 3 > Bank 4 > Bank 1=

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