# SSC CGL 2017 EXAM PAPER : Held on 09-AUG-2017 Shift-3 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 09-AUG-2017 Shift-3

## (Mathematics)

**QID : 251 - **How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?

**Options:**

1) 3675

2) 4018

3) 4021

4) 4025

**Correct Answer: **4025

**QID : 252 **- Sandy and Mandy do (8/13)^{th} part of a work and the rest of the work was completed by Andy. If Sandy, Mandy and Andy take the same work for Rs 2600, then what is the share (in Rs) of Andy?

**Options:**

1) 1600

2) 1400

3) 800

4) 1000 **Correct Answer: **1000

**QID : 253 **- A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted?

**Options:**

1) 48.5

2) 37.5

3) 57.8

4) 64 **Correct Answer:** 57.8

**QID : 254 **- If two successive discounts of 20% and 30% are given, then what is the net discount (in %)?

**Options:**

1) 40

2) 44

3) 56

4) 60 **Correct Answer: **44

**QID : 255** - In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?

**Options:**

1) 2 : 1

2) 2 : 3

3) 5 : 2

4) 3 : 7**Correct Answer:** 2 : 1

**QID : 256 **- Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?

**Options:**

1) 3.5

2) 7

3) 10.5

4) 14 **Correct Answer:** 14

**QID : 257 **- A trader sold an article at profit of 20%. Had he bought that article at 60% less price and sold it at Rs 90 less, then he would have gained 50%. What is the value (in Rs) of cost price?

**Options:**

1) 150

2) 200

3) 250

4) 300 **Correct Answer**: 150

**QID : 258 **- Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit?

**Options:**

1) 18000

2) 20000

3) 24000

4) 32000 **Correct Answer: **20000

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**QID : 259 - **Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

**Options:**

1) 235

2) 338.4

3) 470

4) 940 **Correct Answer: **235

**QID : 260 **- A certain sum of money amounts to Rs 918 in 2 years and Rs 969 in 3.5 years at simple interest. What is the rate of interest (in %)?

**Options:**

1) 4

2) 5

3) 6

4) 8

**Correct Answer:** 4

**QID : 261 -** If 4^{(x+y)} = 256 and (256)^{(x-y)} = 4, then what is the value of x and y?

**Options:**

1) 17/8, 15/8

2) 17/4, 15/4

3) 9/17, 15/17

4) 8/17, 8/15 **Correct Answer:** 17/8, 15/8

**QID : 262 - **If the expression px^{3} – qx^{2} – 7x – 6 is completely divisible by x^{2} – x – 6, then what is the value of p and q respectively?

**Options:**

1) 0, 1

2) 1, 0

3) 2, 1

4) 1, 2 **Correct Answer:** 1, 0 **QID : 263 - **If the expression px^{3} – 2x^{2} – qx + 18 is completely divisible by (x^{2} – 9), then what is the ratio between p and q respectively?

**Options:**

1) 1:9

2) 1:3

3) 3:1

4) 9:1 **Correct Answer:** 1:9

**QID : 264 -**

**Options:**

1) 1875

2) 2525

3) 2530

4) 3120

**Correct Answer: **2525**QID : 265 **- In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?

**Options:**

1) 30

2) 45

3) 50

4) 60 **Correct Answer:** 50

**QID : 266 - **In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

**Options:**

1) 50

2) 60

3) 80

4) 100 **Correct Answer:** 80

**QID : 267 - **

**Options:**

1) 20

2) 28

3) 33

4) 36

**Correct Answer:** 33**QID : 268 - **

**Options:**

1) 134.5

2) 148

3) 166.15

4) 180

**Correct Answer: **166.15

**QID : 269 - **

**Options:**

1) sin A

2) cos A/2

3) cos^{2} A

4) 2 sin A/2

**Correct Answer:** sin A

**QID : 270 -**

**Options:**

1) sec A + tan A

2) sin A cos A

3) (1 – sin A)/(1 + sin A)

4) (1 – cos A)/(1 + cos A)

**Correct Answer:** (1 – sin A)/(1 + sin A)

**QID : 271 - **What is the simplified value of (cosec^{4} A – cot^{2} A) – (cot^{4} A + cosec^{2} A)?

**Options:**

1) 0

2) 5

3) 6

4) 9

**Correct Answer: **0

**QID : 272 - **

What is the percentage increase in the number of audience in Screen 1 from second show to third show?

**Options:**

1) 50

2) 100

3) 120

4) 150 **Correct Answer: **100

**QID : 273 - **

For the second show the number of audience in Screen 3 is how much more than the number of audience in Screen 1 ?

**Options:**

1) 500

2) 350

3) 400

4) 450 **Correct Answer:** 400

**QID : 274 - **

What is the percentage increase in the total number of audience from second show to third show?

**Options:**

1) 20.69

2) 25.13

3) 22.24

4) 18.15

**Correct Answer:** 20.69

**QID : 275 - **

If the tickets for Screen 1, Screen 2 and Screen 3 are Rs 350, Rs 300 and Rs 250 respectively, then which screen has the maximum total revenue for three shows?

**Options:**

1) Screen 1

2) Screen 1 and Screen 3

3) Screen 2

4) Screen 3**Correct Answer: **Screen 3

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