# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 29 January 2017" Afternoon Shift (Quantitative Aptitude)

## 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) = 12x^{2} + 7xy 12y^{2}

2) (3x + 4y)(4x 3y) = 12x^{2} + 251xy 12y^{2}

3) (3x + 4y)(4x 3y) = 12x^{2} 7xy + 12y^{2}

4) (3x + 4y)(4x 3y) = 12x^{2} 251xy + 12y^{2}

**Correct Answer: ** (3x + 4y)(4x 3y) = 12x^{2} + 7xy 12y^{2}

**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 + tan^{2}A)cotA

2) (1 tan^{2}A)cotA

3) √[(1 + tan^{2}A)cotA]

4) √[(1 tan^{2}A)cotA]

**Correct Answer: ** (1 + tan^{2}A)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