SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" Evening Shift (Quantitative Aptitude)
SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" Evening Shift (Quantitative Aptitude)
QID : 251 If (6 18x) (x 7) = 8, then the value of x is ...............
Options:
1) 5/19
2) 2/13
3) 2/13
4) 5/19
Correct Answer : 5/19
QID : 252 If the shopkeeper sells an item at Rs 450 which is marked as Rs 600, then what is the discount he is offering?
Options:
1) 33.33 percent
2) 25 percent
3) 20 percent
4) 30 percent
Correct Answer : 25 percent
QID : 253 Find the roots of the quadratic equation 27x2 + 57x 14 = 0
Options:
1) 2/9, 7/3
2) 2/9, 7/3
3) 9/2, 3/7
4) 9/2, 3/7
Correct Answer : 2/9, 7/3
QID : 254 A bank offers 20% compound interest calculated on half year basis. A customer deposits Rs 9200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is
Options:
1) Rs 11776
2) Rs 2944
3) Rs 1472
4) Rs 5888
Correct Answer : Rs 5888
QID : 255 Which of the following numbers is not a prime number?
Options:
1) 197
2) 313
3) 439
4) 391
Correct Answer : 391
QID : 256 A carpenter can build a cupboard in 64 hours. After 16 hours he takes a break. What fraction of the cupboard is yet to be built?
Options:
1) 0.6
2) 0.75
3) 0.2
4) 0.8
Correct Answer : 0.75
QID : 257 The bus fare between two cities is increased in the ratio 29:31. What is the increase in the fare, if the original fare is Rs 725
Options:
1) Rs 50
2) Rs 775
3) Rs 155
4) Rs 310
Correct Answer : Rs 50
QID : 258 Two numbers are 35% and 40% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?
Options:
1) 7.69 percent
2) 5 percent
3) 8.33 percent
4) 12.5 percent
Correct Answer : 8.33 percent
QID : 259 If 3x + 2 < 2x + 1 and x 4 ≤ 2x 1; then x can take which of the following values?
Options:
1) 2
2) 0
3) 2
4) 4
Correct Answer : 2
QID : 260 Between 50 and 150 how many numbers are divisible by 7?
Options:
1) 15
2) 16
3) 17
4) 14
Correct Answer : 14
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QID : 261 The distance between the points (11,5) and (k,0) is 13. Find k.
Options:
1) k = 1 or 23
2) k = 1 or 23
3) k = 1 or 23
4) k = 1 or 23
Correct Answer : k = 1 or 23
QID : 262 What is the equation of the line which passes through the points (3,2) and (5,3)?
Options:
1) 5x 2y = 19
2) 5x 2y = 19
3) 5x + 2y = 31
4) 5x + 2y = 31
Correct Answer : 5x 2y = 19
QID : 263 A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is overtaken?
Options:
1) 640 metres
2) 800 metres
3) 960 metres
4) 480 metres
Correct Answer : 800 metres
QID : 264 In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?
Options:
1) 4.8 cm
2) 9.8 cm
3) 7.8 cm
4) 7.2 cm
Correct Answer : 7.2 cm
QID : 265 In a triangle, the length of the side opposite the angle which measures 45° is 16 cm, what is the length of the side opposite to the angle which measures 90°?
Options:
1) 8√3 cm
2) 16√2 cm
3) 8 cm
4) 16√3 cm
Correct Answer : 16√2 cm
QID : 266 If the volume of a cylinder is 385 cubic cm and height is 10 cm, find its radius?
Options:
1) 7 cm
2) 10.5 cm
3) 3.5 cm
4) 1.75 cm
Correct Answer : 3.5 cm
QID : 267 What is the value of sec 5π/4?
Options:
1) 1/√3
2) √2
3) √3
4) 1
Correct Answer : √2
QID : 268 2sin[(C+D)/2].sin[(DC)/2] is equal to
Options:
1) cosC + cosD
2) cosC cosD
3) sinC sinD
4) sinC + sinD
Correct Answer : cosC cosD
QID : 269 The total cost of a stove with cooker was Rs 13,125. The cooker was sold at a profit of 30% and the stove at a loss of 20%. If the sale price was the same in both the items, then the cost price of the cheaper item was
Options:
1) Rs 8125
2) Rs 5000
3) Rs 6562.5
4) Rs 6175
Correct Answer : Rs 5000
QID : 270 cot2A + cos2A is equal to cot2A + cos2A
Options:
1) (cosecA sinA)2(cosecA + sinA)
2) (cosecA + sinA)(cosecA sinA)
3) (secA + sinA)(secA sinA)
4) (secA sinA)2(secA + sinA)
Correct Answer : (cosecA + sinA)(cosecA sinA)
QID : 271 The average revenues of 7 consecutive years of a company is Rs 71 lakhs. If the average of first 4 years is Rs 66 lakhs and that of last 4 years is Rs 78 lakhs. What is the revenue for the fourth year.
Options:
1) Rs 81 lakhs
2) Rs 77 lakhs
3) Rs 79 lakhs
4) Rs 75 lakhs
Correct Answer : Rs 79 lakhs
QID : 272
Options:
1) Rs 855385
2) Rs 1120005
3) Rs 220000
4) Rs 352000
Correct Answer : Rs 855385
QID : 273
Options:
1) 2012 & 2013
2) 2013 & 2015
3) 2011 & 2012
4) 2014 & 2015
Correct Answer : 2012 & 2013
QID : 274
Options:
1) Loss of Rs 45 crores
2) Profit of Rs 55 crores
3) Profit of Rs 45 crores
4) Loss of Rs 55 crores
Correct Answer : Profit of Rs 45 crores
QID : 275
Options:
1) 19.17 percent
2) 21.67 percent
3) 14.17 percent
4) 16.67 percent
Correct Answer : 16.67 percent