# SSC Cgl (Tier – 1)2017Morning Shift (Mathematics) Held on 09-AUG-2017 Shift-1

**QID : 151 –** How many numbers are there from 700 to 950 (including both) which are neither divisible by 3 nor by 7?

**Options:**

1) 107

2) 141

3) 144

4) 145

**Correct Answer: **144

**QID : 152 –** A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

**Options:**

1) 9

2) 12

3) 25

4) 27

**Correct Answer:** 27

**QID : 153 –** The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in m2) of the trapezium ?

**Options:**

1) 126

2) 252

3) 504

4) 1024

**Correct Answer:** 252

**QID : 154 – **If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?

**Options:**

1) 50

2) 55

3) 60

4) 65

**Correct Answer:** 55

**QID : 155 – **Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

**Options:**

1) 73 : 106

2) 73 : 116

3) 73 : 113

4) 73 : 189

**Correct Answer**: 73 : 116

**QID : 156 – **The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?

**Options:**

1) 30

2) 35

3) 50

4) 55

**Correct Answer: **55

**QID : 157 **– For an article the profit is 190% of the cost price. If the cost price increase by 10% but the selling price remains same, then profit is what percentage of selling price (approximately)?

**Options:**

1) 54

2) 62

3) 70

4) 163

**Correct Answer:** 62

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**QID : 158 **– A, B and C are three students. A got 18% more marks than B and 12% less than C. If B got 220 marks, then how much marks C has got?

**Options:**

1) 230

2) 295

3) 240

4) 290

**Correct Answer:** 295

**QID : 159 – **Two people A and B are at a distance of 260 km from each other at 9:00 a.m. A immediately starts moving towards B at a speed of 25 km/h and at 11:00 a.m. B starts moving towards A at a speed of 10 km/hr. At what time (in p.m.) will they meet each other?

**Options:**

1) 5:00

2) 6:00

3) 6:30

4) 7:00

**Correct Answer:** 5:00

**QID : 160 **– If Rs 2500 becomes to Rs 2970.25 in 2 years at compound interest compounded annually, then what is the yearly rate of interest (in %)?

**Options:**

1) 7

2) 9

3) 11

4) 13

**Correct Answer:** 9

**QID : 161 –** If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x^{3} + y^{3} + z^{3} – 3xyz?

**Options:**

1) 81

2) 361

3) 729

4) 6561

**Correct Answer: **729

**QID : 162** – If x^{4} + (1/x^{4}) = 34, then what is the value of x^{3} – (1/x^{3})?

**Options:**

1) 0

2) 6

3) 8

4) 14

**Correct Answer: **14

**QID : 163 –** If x = 1 – y and x^{2} = 2 – y^{2}, then what is the value of xy?

**Options:**

1) 1

2) 2

3) –1/2

4) –1

**Correct Answer:** –1/2

**QID : 164 –** If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?

**Options:**

1) 3√5

2) 3√5 – 7

3) 3√5 + 7

4) 8

**Correct Answer:** 3√5 – 7

**QID : 165 – **

**Options:**

1) 5/8

2) 2/3

3) 3/4

4) 5/3

**Correct Answer**: 5/8

**QID : 166** – PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?

**Options:**

1) 52

2) 77

3) 128

4) 142

**Correct Answer: **128

**QID : 167** – Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in cm2) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

**Options:**

1) 18√3

2) 27√3

3) 32√3

4) 36√3

**Correct Answer:** 27√3

**QID : 168 – **

**Options:**

1) 1

2) 1.25

3) 1.5

4) 2

**Correct Answer: **1

**QID : 169 **– What is the simplified value of (sec A + cos A)(sec A – cos A)?

**Options:**

1) 2 tan^{2} A

2) 2 sin^{2} A

3) sin^{2} A tan^{2} A

4) sin^{2} A + tan^{2} A

**Correct Answer:** sin^{2} A + tan^{2} A

**QID : 170 – **

**Options:**

1) 2cos^{2} A

2) 1 – sin^{2} A

3) sec^{2} A

4) secA tanA

**Correct Answer:** 1 – sin^{2} A

**QID : 171 – **

**Options:**

1) –1

2) 0

3) 1

4) 2

**Correct Answer: **1

**QID : 172 – **

If the total population of City 4 is 600000, then how many literate people are there in city 4?

**Options:**

1) 480000

2) 378000

3) 468000

4) 348000

**Correct Answer: **378000

QID : 173 –

Total population of City 6 is 200000 and the total population of City 2 is 220000. What is the respective ratio of literate males of City 2 and literate females of City 6?

**Options:**

1) 348 : 595

2) 255 : 199

3) 595 : 348

4) 199 : 255

**Correct Answer:** 595 : 348

**QID : 174 – **

If there are 259210 literate females in City 5, then what is the total population of City 5?

**Options:**

1) 644000

2) 354200

3) 690000

4) 483000

**Correct Answer:** 644000

**QID : 175 – **

The population of the 6 cities are 250000, 200000, 220000, 300000, 150000 and 400000 respectively. Which is the correct order of the number of literate people in these cities?

**Options:**

1) City 6 > City 1 > City 4 > City 2 > City 3 > City 5

2) City 4 > City 6 > City 1 > City 2 > City 3 > City 5

3) City 6 > City 4 > City 1 > City 3 > City 2 > City 5

4) City 6 > City 1 > City 4 > City 3 > City 2 > City 5

**Correct Answer:** City 6 > City 1 > City 4 > City 3 > City 2 > City 5

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