SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 30 January 2017" Morning Shift (Quantitative Aptitude)
SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 30 January 2017"
Morning Shift (Quantitative Aptitude)
QID : 51 - If (7x - 13) - (12x + 3) = 14, then the value of x is ______ .
Options:
1) -6
2) 6
3) 2/5
4) -2/5
Correct Answer: -6
QID : 52 - Chutki can bake 30 cakes in 15 hours. Chutki and Badki together can bake 90 cakes in 30 hours. How many cakes Badki can bake in 10 hours?
Options:
1) 75
2) 20
3) 10
4) 60
Correct Answer: 10
QID : 53 - If 3x2 = 102 - 52, find the value of x?
Options:
1) 7
2) 5
3) 9
4) 11
Correct Answer: 5
QID : 54 - The average revenues of 9 consecutive years of a company is Rs 65 lakhs. If the average of first 5 years is Rs 60 lakhs and that of last 5 years is Rs 72 lakhs, find the revenue for the 5th year.
Options:
1) Rs 77 lakhs
2) Rs 75 lakhs
3) Rs 73 lakhs
4) Rs 71 lakhs
Correct Answer: Rs 75 lakhs
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QID : 55 - What should be the missing digit so that the number 347_547 becomes exactly divisible by 11?
Options:
1) 5
2) 3
3) 9
4) 2
Correct Answer: 3
QID : 56 - Rajesh sells a machine for Rs 57 lakhs at a loss. Had he sold it for Rs 67 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.
Options:
1) Rs 58.25 lakhs
2) Rs 65.75 lakhs
3) Rs 75.14 lakhs
4) Rs 50.75 lakhs
Correct Answer: Rs 58.25 lakhs
QID : 57 - If 7 + 4x > 3 + 3x and 3x - 2 < 5 - x; then x can take which of the following values?
Options:
1) 2
2) 3
3) 1
4) -5
Correct Answer: 1
QID : 58 - If 2 pair of trouser is offered free on purchase of 3 pair of trousers priced Rs 900 each what is the effective discount on each pair of trouser?
Options:
1) 40 percent
2) 33.33 percent
3) 30 percent
4) 20 percent
Correct Answer: 40 percent
QID : 59 - Find the value of p if 3x + p, x - 10 and -x + 16 are in arithmetic progression.
Options:
1) 16
2) 36
3) -16
4) -36
Correct Answer: -36
QID : 60 - The point P(3,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?
Options:
1) x = 4; y = -8
2) x = -3; y = -8
3) x = 3; y = 8
4) x = -3; y = 8
Correct Answer: x = 4; y = -8
QID : 61 - What is the equation of the line if its slope is 1/4 and y-intercept is -3?
Options:
1) x - 4y = 12
2) x + 4y = 12
3) x - 4y = -12
4) x + 4y = -12
Correct Answer: x - 4y = 12
QID : 62 - A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over-taken?
Options:
1) 500 metres
2) 750 metres
3) 375 metres
4) 625 metres
Correct Answer: 625 metres
QID : 63 - In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?
Options:
1) 12.6 cm
2) 9.3 cm
3) 8.1 cm
4) 5.4 cm
Correct Answer: 12.6 cm
QID : 64 - In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?
Options:
1) 27 cm
2) 9 cm
3) 12√3 cm
4) (15√3)/2 cm
Correct Answer: 27 cm
QID : 65 - When a number is increased by 26, it becomes 113% of itself. What is the number?
Options:
1) 200
2) 312
3) 390
4) 234
Correct Answer: 200
QID : 66 - Volume of a cylinder is 2310 cubic cm. If circumference of its base is 44 cm, find the curved surface area of the cylinder?
Options:
1) 660 sq cm
2) 1320 sq cm
3) 1980 sq cm
4) 330 sq cm
Correct Answer: 660 sq cm
QID : 67 - A bank offers 5% compound interest per half year. A customer deposits Rs. 3200 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 976
2) Rs 244
3) Rs 488
4) Rs 122
Correct Answer: Rs 488
QID : 68 - By increasing the price of entry ticket to a fair in the ratio 11:16, the number of visitors to the fair has decreased in the ratio 19:9. In what ratio has the total collection increased or decreased?
Options:
1) decreased in the ratio 209:144
2) increased in the ratio 144:209
3) increased in the ratio 99:304
4) decreased in the ratio 304:99
Correct Answer: decreased in the ratio 209:144
QID : 69 - What is the value of cos 4π/3?
Options:
1) -1/2
2) √3/2
3) -1/√2
4) -√3/2
Correct Answer: -1/2
QID : 70 - tan3A is equal to
Options:
1) 3tanA - tan3A(1 - 3tan2A)
2) 3tanA + tan3A(1 - 3tan2A)
3) 3tanA - tan3A(1 + 3tan2A)
4) 3tanA + tan3A(1 + 3tan2A)
Correct Answer: 3tanA - tan3A(1 - 3tan2A)
QID : 71 - sinA/(1 + cos A) is equal to
Options:
1) (cosecA - cotA)
2) (cosecA + cotA)
3) √[(cosecA - cotA)]
4) √[(cosecA + cotA)]
Correct Answer: (cosecA - cotA)
QID : 72 -
Options:
1) 33.33
2) 17.39
3) 66.67
4) 50
Correct Answer: 33.33
QID : 73 -
Options:
1) 740
2) 890
3) 3310
4) 960
Correct Answer: 960
QID : 74 -
Options:
1) 1690 calories
2) 1590 calories
3) 1540 calories
4) 1640 calories
Correct Answer: 1590 calories
QID : 75 -
Options:
1) 20.34 percent
2) 13.09 percent
3) 34.84 percent
4) 27.59 percent
Correct Answer: 27.59 percent
