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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 16 January 2017" Afternoon Shift (Quantitative Aptitude)

QID : 151 The ratio of present ages of Ramita and Satyajit is 9:7. After 9 years the ratio of their ages will be 5:4. What is Ramita's present age?

Options:

1) 81

2) 63

3) 56

4) 80

Correct Answer: 81

QID : 152 (secA tanA)/(cosecA + cotA) is equal to

Options:

1) (secA cotA) / (cosecA + tanA)

2) (secA cosA) / (cosecA + sinA)

3) (cosecA cotA) / (secA + tanA)

4) (secA + cosA) / (cosecA sinA)

Correct Answer: (cosecA cotA) / (secA + tanA)

QID : 153 ABCD is a kite where m angle A is 90° and m angleC is 60°. If length of AB is 6 cm, what is the length of diagonal AC?

Options:

1) 6(√2+√3) cm

2) 2(√3+√6) cm

3) 2(√2+√3) cm

4) 3(√2+√6) cm

Correct Answer: 3(√2+√6) cm

QID : 154 A trader had 9 quintals of wheat. He sold a part of it at 10% profit and the rest at 20% profit, so that he made a total profit of 14 %. How much wheat did he sell at 20% profit?

Options:

1) 540 kg

2) 360 kg

3) 180 kg

4) 720 kg

Correct Answer: 360 kg

QID : 155 Find 2 consecutive natural numbers, sum of whose squares is 25.

Options:

1) 2, 3

2) 3, 4

3) 4, 5

4) 1, 4

Correct Answer: 3, 4

QID : 156 A factory buys 7 machines. 2 MachineA, 4 MachineB and rest MachineC. Prices of the machines are Rs 56000, Rs 45000 and Rs 30000 respectively. Calculate the average cost of these machines.

Options:

1) 46000

2) 43666.66

3) 41333.33

4) 44500

Correct Answer: 46000

QID : 157 Coefficient of x² in 6x³ + 4x² + 2x + 3 is

Options:

1) 4

2) 6

3) 3

4) 2

Correct Answer: 4

QID : 158 Azhar is 4 times as good a workman as Balaraj and therefore is able to finish a job in 45 days less than Balaraj. Working together, they can do it in:

Options:

1) 6 days

2) 18 days

3) 24 days

4) 12 days

Correct Answer: 12 days

QID : 159 Find k, if the line 2x 3y = 11 is perpendicular to the line 3x + ky = 4?

Options:

1) 2

2) 1

3) 1

4) 2

Correct Answer: 2

QID : 160 On dividing 8a²b² c² by 4a², we get

Options:

1) 2b²

2) 2c²

3) 2b²c²

4) 2

Correct Answer: 2b²c²

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QID : 161 The point P (a,b) is first reflected in origin to P1 and P1 is reflected in Yaxis to (4,3). The coordinates of point P are

Options:

1) (4,3)

2) (4,3)

3) (3,4)

4) (3,4)

Correct Answer: (4,3)

QID : 162 An engineering student has to secure 25% marks to pass. He gets 45 and fails by 45 marks. Find the maximum marks.

Options:

1) 385 marks

2) 410 marks

3) 435 marks

4) 360 marks

Correct Answer: 360 marks

QID : 163 A man travels 430 kilometres in, partly by rail and partly by steamer. He spends 10 hours more time on steamer. If the velocity of the steamer is 25 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?

Options:

1) 360 km

2) 300 km

3) 450 km

4) 540 km

Correct Answer: 300 km

QID : 164 The largest 5 digit number exactly divisible by 89 is:

Options:

1) 99947

2) 99940

3) 99938

4) 99939

Correct Answer: 99947

QID : 165 √(1 + tan²A)/tanA is equal to

Options:

1) secA

2) sinA

3) cosecA

4) cosA

Correct Answer: cosecA

QID : 166 On a certain principal if the simple interest for two years is Rs 2800 and compound interest for the two years is Rs 2996, what is the rate of Interest?

Options:

1) 14 percent

2) 7 percent

3) 28 percent

4) 21 percent

Correct Answer: 14 percent

QID : 167 A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)

Options:

1) 800 cubic metres

2) 300 cubic metres

3) 480 cubic metres

4) 400 cubic metres

Correct Answer: 400 cubic metres

QID : 168 What is the value of sec 4π/3?

Options:

1) 2

2) 2

3) 2/√3

4) 2/√3

Correct Answer: 2

QID : 169 Find the radius of the circle if the area of its sector is 30.8 sq cm whose corresponding central angle is 72°?

Options:

1) 3.5 cm

2) 7 cm

3) 14 cm

4) 10.5 cm

Correct Answer: 7 cm

QID : 170 If 2x + 6y = 3xy and 10x 3y = 4xy, find x, y.

Options:

1) 3, 2

2) 2, 3

3) 4, 6

4) 6, 4

Correct Answer: 3, 2

QID : 171 If a merchant offers a discount of 10% on the list price, then she makes a loss of 25%. What % profit or % loss will she make if she sells at a discount of 20% of the list price?

Options:

1) 5 percent profit

2) 33.33 percent loss

3) 90 percent profit

4) 20 percent profit

Correct Answer: 33.33 percent loss

QID : 172 