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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 21 January 2017" Morning Shift (Quantitative Aptitude)

QID : 51 - If 4(4x + 5) > 2x - 1 > 4x - 3, then the value of x is

Options:

1) 2

2) 3

3) -2

4) 0

Correct Answer: 0

QID : 52 - Point Q(-2,b) is the midpoint of segment EF. Co-ordinates of E are (-7,-6) and F are (a,0). What is the value of a and b?

Options:

1) a = 3; b = -3

2) a = -3; b = -3

3) a = 3; b = 3

4) a = -3; b = 3

Correct Answer: a = 3; b = -3

QID : 53 - Find x.

693.5 - (47.23 - x) - 82.48 = 8.172.

Options:

1) -720.578

2) -555.618

3) -650.078

4) 831.382

Correct Answer: -555.618

QID : 54 - Coefﬁcient of x² in (x + 7)(5 - 3x)(3x - 6) is

Options:

1) 96

2) -30

3) 42

4) -18

Correct Answer: -30

QID : 55 - A man travels 420 kilometres in, partly by rail and partly by steamer. He spends 8 hours more time on steamer. If the velocity of the steamer is 35 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?

Options:

1) 395 km

2) 329 km

3) 494 km

4) 592 km

Correct Answer: 329 km

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QID : 56 - If cos -300° = x, then the value of x is

Options:

1) 1/2

2) -1/√2

3) -1/2

4) √3/2

Correct Answer: 1/2

QID : 57 - What is the slope of the line 4x - 8y = 3?

Options:

1) -1/2

2) 2

3) 1/2

4) -2

Correct Answer: 1/2

QID : 58 - Rajat sells a machine for Rs 53 lakhs at a loss. Had he sold it for Rs 64 lakh, his gain would have been 10 times the former loss. Find the cost price of the machine.

Options:

1) Rs 63 lakhs

2) Rs 69.3 lakhs

3) Rs 45 lakhs

4) Rs 54 lakhs

Correct Answer: Rs 54 lakhs

QID : 59 - The ratio of present ages of Rambha and Sarvesh is 8:5. After 7 years the ratio of their ages will be 5:4. What is Rambha's present age?

Options:

1) 5

2) 30

3) 8

4) 48

Correct Answer: 8

QID : 60 - ΔPQR is right angled at Q. QS is the altitude. PQ is 4√29 cm and PS is 8 cm. Find length of SR?

Options:

1) 10√29 cm

2) 8√29 cm

3) 50 cm

4) 20 cm

Correct Answer: 50 cm

QID : 61 - In a rectangle................

Options:

1) Consecutive angles are congruent as well as supplementary

2) Diagonals are perpendicular to each other

3) Diagonals bisect opposite angles

4) Diagonals are not equal

Correct Answer: Consecutive angles are congruent as well as supplementary

QID : 62 - If √(cosec²A - 1) = x, then the value of x is

Options:

1) tanA

2) sinA

3) cosA

4) cotA

Correct Answer: cotA

QID : 63 - A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then what fraction of work is left?

Options:

1) 2/9

2) 3/10

3) 5/12

4) 1/4

Correct Answer: 5/12

QID : 64 - A dishonest milkman buys milk at Rs 30 per litre and adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain?

Options:

1) 33.33 percent

2) 50 percent

3) 28 percent

4) 25 percent

Correct Answer: 28 percent

QID : 65 - If the radius of a circle is increased by 21%, then its area will increase by what percent?

Options:

1) 42 percent

2) 21 percent

3) 23.205 percent

4) 46.41 percent

Correct Answer: 46.41 percent

QID : 66 - A cylindrical capsule has hemispherical ends of the radii equal to radius of the cylindrical part. If length of the capsule is 40 m and radius 6 m, what is the total surface area of this capsule?

Options:

1) 3017.14 sq mts

2) 4525.71 sq mts

3) 1508.57 sq mts

4) 754.29 sq mts

Correct Answer: 1508.57 sq mts

QID : 67 - If 2cos²A - 1 = x, then the value of x is

Options:

1) cosec⁴A - sin⁴A

2) cos⁴A - sin⁴A

3) cos⁴A - ^tan4A

4) cosec⁴A - tan⁴A

Correct Answer: cos⁴A - sin⁴A

QID : 68 - In a class of 56 students there are 28 girls. The average weight of these girls is 46 kg and average weight of the full class is 51 kgs. What is the average weight of the boys of the class?

Options:

1) 55

2) 56

3) 53

4) 54

Correct Answer: 56

QID : 69 - The ratio of ages of father and son is 7:2. Five years ago the product of their ages was 150. What is the age of the father?

Options:

1) 30 years

2) 45 years

3) 35 years

4) 40 years

Correct Answer: 35 years

QID : 70 - Three consecutive natural numbers are such that the square of the greatest is greater than the product of the other two by 19. The smallest of these numbers is

Options:

1) 5

2) 6

3) 7

4) 4

Correct Answer: 5

QID : 71 - Deepanshu lent Rs. 8400 to Jaipal for 15 years and Rs. 5100 to Kareem for 14 years on simple interest at the same rate of interest and received Rs. 17766 in all from both of them as interest. The rate of interest per annum is

Options:

1) 9.5 percent

2) 10 percent

3) 10.5 percent

4) 9 percent

Correct Answer: 9 percent

QID : 72 -