SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 29 January 2017"

Afternoon Shift (Quantitative Aptitude)

QID : 151 ­ Which of the following is correct?

Options:

1) (3x + 4y)(4x ­ 3y) = 12x² + 7xy ­ 12y²

2) (3x + 4y)(4x ­ 3y) = 12x² + 251xy ­ 12y²

3) (3x + 4y)(4x ­ 3y) = 12x² ­ 7xy + 12y²

4) (3x + 4y)(4x ­ 3y) = 12x² ­ 251xy + 12y²

Correct Answer: (3x + 4y)(4x ­ 3y) = 12x² + 7xy ­ 12y²

QID : 152 ­ What is the value of (81 + 82 + 83 + ……… +130)?

Options:

1) 5275

2) 10550

3) 15825

4) 21100

Correct Answer: 5275

QID : 153 ­ The sum of the ages of husband and wife at present is 100. Ten years ago the ratio of their ages was 9:7. What is the age of the husband?

Options:

1) 45 years

2) 55 years

3) 65 years

4) 40 years

Correct Answer: 55 years

QID : 154 ­ If 3x ­ 1 < 5x + 2 and 3x + 5 < 6 ­ 4x; then x can take which of the following values?

Options:

1) ­1

2) 1

3) 2

4) ­2

Correct Answer: ­1

QID : 155 ­ In an arithmetic progression if 13 is the 3rd term, ­47 is the 13th term, then ­17 is which term?

Options:

1) 9

2) 10

3) 7

4) 8

Correct Answer: 8

QID : 156 ­ Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 506, then what is the difference between the first and the third number?

Options:

1) 759

2) 585

3) 755

4) 552

Correct Answer: 552

QID : 157 ­ What is the distance between the points (4,­8) and (­2,0)?

Options:

1) 100 units

2) 5 units

3) 25 units

4) 10 units

Correct Answer: 10 units

QID : 158 ­ For triangle PQR, find equation of altitude PS if co­ordinates of P, Q and R are (6,2), (0,3) and (­4,5) respectively?

Options:

1) 2x ­ y = 14

2) 2x + y = 10

3) 2x ­ y = 10

4) 2x + y = 14

Correct Answer: 2x ­ y = 10

QID : 159 ­ 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 4:3 and length of QR is 4.9 cm, find ST?

Options:

1) 5.6 cm

2) 7.2 cm

3) 2.8 cm

4) 3.6 cm

Correct Answer: 2.8 cm

QID : 160 ­ Makarand works 2 times as fast as Samarjit. If Samarjit can complete a job alone in 27 days, then in how many days can they together finish the job?

Options:

1) 6 days

2) 7 days

3) 5 days

4) 9 days

Correct Answer: 9 days

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QID : 161 ­ The ratio of present ages of Ramya and Saurabh is 8:7. After 10 years the ratio of their ages will be 12:11. What is Ramya's present age?

Options:

1) 20

2) 14

3) 63

4) 45

Correct Answer: 20

QID : 162 ­ Simple interest on a certain sum of money for 3 years at 16% per annum is half the compound interest on Rs. 12000 for 2 years at 10% per annum. The sum placed on simple interest is

Options:

1) Rs 5250

2) Rs 1325

3) Rs 2100

4) Rs 2625

Correct Answer: Rs 2625

QID : 163 ­ What is the altitude of an equilateral triangle whose side is 12√3 cm?

Options:

1) 12 cm

2) (15√3)/2 cm

3) (9√3)/2 cm

4) 18 cm

Correct Answer: 18 cm

QID : 164 ­ An engineering student has to secure 25% marks to pass. He gets 56 and fails by 34 marks. Find the maximum marks.

Options:

1) 385 marks

2) 360 marks

3) 410 marks

4) 435 marks

Correct Answer: 360 marks

QID : 165 ­ 30% discount is offered on an item. By applying a promo code the customer wins 20% cash back. What is the effective discount?

Options:

1) 44 percent

2) 52.8 percent

3) 50 percent

4) 26 percent

Correct Answer: 44 percent

QID : 166 ­ If curved surface area of a cylinder is 1320 sq cm and height is 10 cm, find its radius?

Options:

1) 21 cm

2) 42 cm

3) 63 cm

4) 10.5 cm

Correct Answer: 21 cm

QID : 167 ­ A wholesaler sells a watch to a retailer at a gain of 35% and the retailer sells it to a customer at a loss of 25%. If the customer pays Rs 2379.375, what had it cost the wholesaler?

Options:

1) Rs 2350

2) Rs 2409

3) Rs 2928

4) Rs 2291

Candidate Answer: Rs 2350

QID : 168 ­ What is the value of tan 7π/4?

Options:

1) √3

2) ­1/2

3) √3/2

4) ­1

Correct Answer: ­1

QID : 169 ­ A man travels 401 kilometres in, partly by rail and partly by steamer. He spends 6 hours more time on steamer. If the velocity of the steamer is 21 km/hr and the velocity of rail is 56 km/hr, how much distance does he cover by steamer?

Options:

1) 241 km

2) 302 km

3) 201 km

4) 362 km

Correct Answer: 201 km

QID : 170 ­ 2sin[(C+D)/2].cos[(C­D)/2] is equal to

Options:

1) sinC ­ sinD

2) cosC + cosD

3) cosC ­ cosD

4) sinC + sinD

Correct Answer: sinC + sinD

QID : 171 ­ tanAcosec2A is equal to tanAcosec2A ?

Options:

1) (1 + tan²A)cotA

2) (1 ­ tan²A)cotA

3) √[(1 + tan²A)cotA]

4) √[(1 ­ tan²A)cotA]

Correct Answer: (1 + tan²A)cotA

QID : 172 ­

Options:

1) 101.91

2) 1019.1

3) 133

4) 398

Correct Answer: 101.91

QID : 173 ­

Options:

1) 600

2) 3400

3) 5100

4) 2267

Correct Answer: 5100

QID : 174 ­

Options:

1) 85 cms

2) 90 cms

3) 75 cms

4) 80 cms

Correct Answer: 80 cms

QID : 175 ­

Options:

1) 5.2 hours

2) 4.7 hours

3) 3.7 hours

4) 5.7 hours

Correct Answer: 5.2 hours

Printed Study Kit for SSC CHSL (10+2) Exam

Study Material for Junior Engineer (Civil / Electrical / Mechanical Engineering) Examination

Study Kit for SSC CGL EXAM

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