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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" After Noon Shift (Mathematics)

QID : 151 - If (6x - 1) - (8x - 5) = 7, then the value of x is _______ .

Options:
1) -3/2

2) 3/2

3) 11/2

4) -11/2

Correct Answer: -3/2

QID : 152 - If 7/8th of 5/4th of a number is 315, then 5/9th of that number is _____ .

Options:
1) 123

2) 81

3) 140

4) 160

Correct Answer: 160

QID : 153 - The average marks of 56 students is shown as 60. It includes a wrong entry of 92 marks instead of 29 marks. The correct average is _____ .

Options:
1) 58.875 marks

2) 61.125 marks

3) 63.375 marks

4) 56.625 marks

Correct Answer: 58.875 marks

QID : 154 - If 13x² = 17² - 9², find the value of x?

Options:
1) 16

2) 12

3) 8

4) 4

Correct Answer: 4

QID : 155 - If 2 + 2x < 3 + 5x and 3(x - 2) < 5 - x; then x can take which of the following values?

Options:
1) 1

2) 3

3) -1

4) -2

Correct Answer: 1

QID : 156 - If the radius of a circle is increased by 17% its area increases by ______.

Options:
1) 34 percent

2) 36.89 percent

3) 17 percent

4) 18.445 percent

Correct Answer: 36.89 percent

QID : 157 - A bank offers 20% compound interest per half year. A customer deposits Rs 2800 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is ______.

Options:
1) Rs 3584

2) Rs 896

3) Rs 1792

4) Rs 448

Correct Answer: Rs 1792

QID : 158 - 4 hrs after a goods train passed a station, another train travelling at a speed of 60 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

Options:
1) 40 km/hr

2) 48 km/hr

3) 60 km/hr

4) 32 km/hr

Correct Answer: 40 km/hr

QID : 159 - Ticket for an adult is Rs 1000 and a child is Rs 500. One child goes free with two adults. If a group has 17 adults and 5 children what is the discount the group gets?

Options:
1) 14.7 percent

2) 32 percent

3) 12.82 percent

4) 22 percent

Correct Answer: 12.82 percent

QID : 160 - Find the value of p if -3x - 11, x + p and 5x + 7 are in arithmetic progression.

Options:
1) 9

2) 2

3) -9

4) -2

Correct Answer: -2

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QID : 161 - The point P(-4,1) divides the segment joining the points (x,0) and (0,y) in the ratio 3:2. Find x and y?

Options:
1) x = -10; y = 5/3
2) x = -10; y = -5/3
3) x = 10; y = 5/3
4) x = 10; y = -5/3

Correct Answer: x = -10; y = 5/3

QID : 162 - A shopkeeper, sold walnuts at the rate Rs 1,190 a kg and bears a loss of 10%. Now if he decides to sell it at Rs 1,249.5 per kg, what will be the result?

Options:
1) 11 percent loss

2) 5.5 percent loss

3) 5.5 percent gain

4) 11 percent gain

Correct Answer: 5.5 percent loss

QID : 163 - What is the equation of the line if its slope is -2/5 and y-intercept is 6?

Options:
1) 2x + 5y = 6

2) 2x + 5y = 30

3) 2x - 5y = 6

4) 2x + 5y = -30

Correct Answer: 2x + 5y = 30

QID : 164 - Amal is 5 times as good a workman as Bhairav and therefore is able to finish a job in 48 days less than Bhairav. Working together, they can do it in

Options:
1) 20 days

2) 5 days

3) 25 days

4) 10 days

Correct Answer: 10 days

QID : 165 - In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 9 cm, 6 cm and 5.4 cm respectively find length of BC?

Options:
1) 3.6 cm

2) 4.8 cm

3) 11.2 cm

4) 9 cm

Correct Answer: 9 cm

QID : 166 - In an army selection process, the ratio of selected to unselected was 6:1. If 90 less had applied and 30 less selected, the ratio of selected to unselected would have been 8:1. How many candidates had applied for the process?

Options:
1) 3150
2) 6300
3) 4725
4) 1575

Correct Answer: 1575

QID : 167 - In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

Options:
1) 9 cm

2) 12√3 cm

3) (15√3)/2 cm

4) (9√3)/2 cm

Correct Answer: 12√3 cm

QID : 168 - Volume of a cylinder is 13860 cubic cm. If circumference of its base is 132 cm, find the curved surface area of the cylinder?

Options:
1) 2640 sq cm

2) 3960 sq cm

3) 1320 sq cm

4) 660 sq cm

Correct Answer: 1320 sq cm

QID : 169 - What is the value of tan 4π/3?

Options:
1) -1/2
2) √3
3) √3/2
4) -1/√2

Correct Answer: √3

QID : 170 - cot³A is equal to

Options:
1) 3cotA - cot3A(1 - 3cot²A)
2) 3cotA + cot3A(1 - 3cot²A)
3) 3cotA - cot3A(1 + 3cot²A)
4) 3cotA + cot3A(1 + 3cot²A)

Correct Answer: 3cotA - cot³A(1 - 3cot²A)

QID : 171 - sec²Acosec²A is equal to