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

## 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) = 20x^{2} + 9xy - 20y^{2}**2**) (4x + 5y)(5x - 4y) = 20x^{2} + 41xy - 20y^{2}**3**) (4x + 5y)(5x - 4y) = 20x^{2} - 9xy + 20y^{2}**4**) (4x + 5y)(5x - 4y) = 20x^{2} - 41xy + 20y^{2}

**Correct Answer:** (4x + 5y)(5x - 4y) = 20x^{2} + 9xy - 20y^{2}

**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 **- tan^{2}Asin^{2}A is equal to

**Options:****1**) tan^{2}A - sin^{2}A**2**) tan^{2}A + sin^{2}A**3**) cot^{2}A - sin^{2}A**4**) cot^{2}A + sin^{2}A

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

**QID : 72 **-

**Options:****1**) 3680001**2**) 153333**3**) 408889**4**) 244000

**Correct Answer:** 408889

**QID : 73 **-

**Options:****1**) 2011 & 2013**2**) 2013 & 2015**3**) 2011 & 2012**4**) 2014 & 2015

**Correct Answer:** 2014 & 2015

**QID : 74 **-

**Options:****1**) Loss of Rs 55 crores**2**) Loss of Rs 45 crores**3**) Profit of Rs 45 crores**4**) Profit of Rs 55 crores

**Correct Answer:** Loss of Rs 45 crores

**QID : 75 **-

**Options:****1**) 30.85 percent**2**) 28.35 percent**3**) 25.85 percent**4**) 23.35 percent

**Correct Answer:** 25.85 percent