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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 24 January 2017" Morning Shift (Quantitative Aptitude)

QID : 51 - Which of the following is correct?

Options:
1) (4x + 5y)(5x - 4y) = 20x² + 9xy - 20y²
2) (4x + 5y)(5x - 4y) = 20x² + 41xy - 20y²
3) (4x + 5y)(5x - 4y) = 20x² - 9xy + 20y²
4) (4x + 5y)(5x - 4y) = 20x² - 41xy + 20y²

Correct Answer: (4x + 5y)(5x - 4y) = 20x² + 9xy - 20y²

QID : 52 - Ticket for an adult is Rs 1200 and a child is Rs 800 respectively. One child goes free with two adults. If a group has 25 adults and 5 children what is the discount the group gets?

Options:
1) 17.24 percent
2) 24. percent
3) 24.41 percent
4) 11.76 percent

Correct Answer: 11.76 percent

QID : 53 - When 0.363636.....is converted into a fraction, then the result is _____.

Options:
1) 7/11
2) 4/11
3) 14/33
4) 8/33

Correct Answer: 4/11

QID : 54 - Rajan sells a machine for Rs 52 lakhs at a loss. Had he sold it for Rs 62 lakh, his gain would have been 9 times the former loss. What is the cost price of the machine?

Options:
1) Rs 61 lakhs
2) Rs 53 lakhs
3) Rs 67.77 lakhs
4) Rs 45 lakhs

Correct Answer: Rs 53 lakhs

QID : 55 - If 25% of an electricity bill is deducted, Rs 1788 is still to be paid. How much was the bill?

Options:
1) Rs 1430
2) Rs 2420
3) Rs 1466
4) Rs 2384

Correct Answer: Rs 2384

QID : 56 - The sum of the ages of husband and wife at present is 60. Four years ago the ratio of their ages was 7:6. What is the age of the husband?

Options:
1) 28 years
2) 32 years
3) 42 years
4) 38 years

Correct Answer: 32 years

QID : 57 - If 5x - 1 < 3x + 2 and 5x + 5 > 6 - 2x; then x can take which of the following values?

Options:
1) 0
2) 1
3) -1
4) 2

Correct Answer: 1

QID : 58 - In an arithmetic progression, if 9 is the 5th term, -26 is the 12th term, then -6 is which term?

Options:
1) 11
2) 8
3) 10
4) 7

Correct Answer: 8

QID : 59 - What is the distance between the points (11,-5) and (-1,0)?

Options:
1) 169 units
2) 12 units
3) 13 units
4) 144 units

Correct Answer: 13 units

QID : 60 - What is the equation of the line if its slope is 4/3 and it passes through the point (-7 , 2)?

Options:
1) 4x - 3y = -22
2) 4x + 3y = -34
3) 4x + 3y = -22
4) 4x - 3y = -34

Correct Answer: 4x - 3y = -34

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QID : 61 - In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 1:5 and length of QR is 15 cm, find ST?

Options:
1) 2.4 cm
2) 3.6 cm
3) 2.5 cm
4) 5.6 cm

Correct Answer: 2.5 cm

QID : 62 - If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 16854, and Rs 17865.24 respectively, what is the rate of interest?

Options:
1) 3 percent
2) 12 percent
3) 6 percent
4) 10 percent

Correct Answer: 6 percent

QID : 63 - Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

Options:
1) 9 hours
2) 6 hours
3) 12 hours
4) 18 hours

Correct Answer: 18 hours

QID : 64 - The average revenues of 11 consecutive years of a company is Rs 77 lakhs. If the average of first 6 years is Rs 72 lakhs and that of last 6 years is Rs 84 lakhs, What is the revenue for the Sixth year.

Options:
1) Rs 91 lakhs
2) Rs 87 lakhs
3) Rs 85 lakhs
4) Rs 89 lakhs

Correct Answer: Rs 89 lakhs

QID : 65 - In Δ ABC, the median AD is 8 cm and CB is 16 cm, measure of angle CAB is_____ .

Options:
1) 90°
2) 30°
3) 60°
4) 120°

Correct Answer: 90°

QID : 66 - The third proportional of two numbers 12 and 48 is

Options:
1) 84
2) 96
3) 192
4) 144

Correct Answer: 192

QID : 67 - If curved surface area of a cylinder is 616 sq cm and height is 14 cm, find its radius?

Options:
1) 14 cm
2) 7 cm
3) 21 cm
4) 3.5 cm

Correct Answer: 7 cm

QID : 68 - Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.

Options:
1) 121 and 99
2) 43 and 21
3) 58 and 36
4) 86 and 64

Correct Answer: 121 and 99

QID : 69 - What is the value of cot 11π/6?

Options:
1) -√3
2) -1
3) √3
4) -1/2

Correct Answer: -√3

QID : 70 - 2cos[(C+D)/2]sin[(C-D)/2] is equal to

Options:
1) sinC + sinD
2) sinC - sinD
3) cosC - cosD
4) cosC + cosD

Correct Answer: sinC - sinD

QID : 71 - tan²Asin²A is equal to

Options:
1) tan²A - sin²A
2) tan²A + sin²A
3) cot²A - sin²A
4) cot²A + sin²A