SSC CGL 2017 EXAM PAPER : Held on 09-AUG-2017 Shift-2 (Mathematics)
SSC CGL 2017 EXAM PAPER : Held on 09-AUG-2017 Shift-2
(Mathematics)
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 x3 + y3 + z3 – 3xyz?
Options:
1) 81
2) 361
3) 729
4) 6561
Correct Answer: 729
QID : 162 - If x4 + (1/x4) = 34, then what is the value of x3 – (1/x3)?
Options:
1) 0
2) 6
3) 8
4) 14
Correct Answer: 14
QID : 163 - If x = 1 – y and x2 = 2 – y2, 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 tan2 A
2) 2 sin2 A
3) sin2 A tan2 A
4) sin2 A + tan2 A
Correct Answer: sin2 A + tan2 A
QID : 170 -
Options:
1) 2cos2 A
2) 1 – sin2 A
3) sec2 A
4) secA tanA
Correct Answer: 1 – sin2 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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