SSC CHSL 2017 PYQs

Question 1

Find the radius of the circle if the length of its arc is 33 cm whose corresponding central angle is 90° ?

Accepted Answer

The arc length formula is (θ/360) * 2πr. Substitute the given values: 33 = (90/360) * 2 * (22/7) * r. Simplify to find r = 21 cm.

Question 2

A vendor buys chikoos at 15 for Rs 8 and then sells at 10 for Rs 6. What will be the result?

Accepted Answer

Equate the number of chikoos. CP of 30 chikoos = Rs 16. SP of 30 chikoos = Rs 18. Profit = Rs 2. Profit percentage = (2/16)*100 = 12.5%.

Question 3

The point P(5,-2) divides the segment joining the points  (x,0) and (0,y) in the ratio 2:5. What is the value of x and y?

Accepted Answer

Apply the section formula. For x-coordinate: 5 = (2*0 + 5*x) / (2+5) => 35 = 5x => x=7. For y-coordinate: -2 = (2*y + 5*0) / (2+5) => -14 = 2y => y=-7.

Question 4

A square is inscribed in a circle. If the side of the square is 14 cm, what is the area (in sq.cm) of the circle?

Accepted Answer

The diagonal of the square is the diameter of the circle. Diagonal = side * √2 = 14√2 cm. Radius = 7√2 cm. Area = πr² = π(7√2)² = 98π sq.cm.

Question 5

4*(-0.1(5.5 + 8.5)) of 0.5 = ?

Accepted Answer

First, solve the innermost parenthesis: 5.5 + 8.5 = 14. Then multiply by -0.1 to get -1.4. Finally, multiply by 4 and 0.5: 4 * (-1.4) * 0.5 = -2.8.

Question 6

What is the value of tan(−5π6)

Accepted Answer

Use tan(-θ) = -tan(θ) and tan(π - θ) = -tan(θ). So, tan(-5π/6) = -tan(5π/6) = -tan(π - π/6) = -(-tan(π/6)) = tan(π/6) = 1/√3.

Question 7

If 2x+ 4(x - 3) < -2 - x < 2x - 1, then find the value of x.

Accepted Answer

Solve the compound inequality by splitting it into two parts: 2x + 4(x - 3) < -2 - x and -2 - x < 2x - 1. Solve each inequality for x and find the intersection of the solution sets. The only integer satisfying both is 2.

Question 8

A cylindrical vessel of radius 6 cm is partially filled with  water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this  water? (Take π = 22/7)

Accepted Answer

The volume of water displaced equals the sphere's volume (4/3πr³). This displaced volume forms a cylinder (πR²h) in the vessel. Equate volumes to find the rise in water level (h).

Question 9

Point Q(b,-1) is the midpoint of segment EF. Co-ordinates of point E are (-4,a) and point F are (2,0). What isthe value of a and b?

Accepted Answer

Use the midpoint formula: (x1+x2)/2 = x_mid and (y1+y2)/2 = y_mid. Substitute the given coordinates to find a and b. (-4+2)/2 = b => b = -1. (a+0)/2 = -1 => a = -2.

Question 10

Two students appeared for an examination. One of them secured 20 marks more than the other and his marks were 55% of the sum of their marks. The marks  obtained by them are

Accepted Answer

Let marks be x and x+20. Sum is 2x+20. (x+20) = 0.55(2x+20). Solving this equation gives x=90. So marks are 90 and 110.

Question 11

A wooden bowl is in shape of a hollow hemisphere of  internal radius 7 cm and thickness 1 cm. What is the total surface area (in sq.cm) of the bowl? (Take: π = 22/7)

Accepted Answer

Internal radius r = 7 cm, thickness t = 1 cm. External radius R = r + t = 8 cm. Total surface area = 2πR² + 2πr² + π(R² - r²) = π(3R² + r²). Substitute values to get 757.43 sq.cm.

Question 12

Refer the below data table and answer the following Question.Weight (kg)Height (m)Archita671.63Arpana671.51Arpita571.56Arundhati731.59Who has the least weight to height ratio?

Accepted Answer

Calculate the weight-to-height ratio for each person. Archita: 67/1.63 ≈ 41.1. Arpana: 67/1.51 ≈ 44.37. Arpita: 57/1.56 ≈ 36.54. Arundhati: 73/1.59 ≈ 45.91. Arpita has the least ratio.

Question 13

Refer the below data table and answer the following questionNumber of employeesAnnual salary  (in lakhs)Bonus as percent of annual salaryManager14840%Executive61620%Trainee2220%What is the average bonus received by each employee   (employee includes all - Manager, Executive, and Trainee)?

Accepted Answer

Calculate total bonus for each category: Manager (1*48L*40%), Executive (6*16L*20%), Trainee (2*2L*20%). Sum these bonuses and divide by total employees (1+6+2=9) to find the average bonus.

Question 14

Refer the below data table and answer the following QuestionWeight (kg)Height in MeterAnju681.74Ankita721.54Anupama691.77Anuradha681.71Who has the least weight to height ratio?

Accepted Answer

Calculate the weight-to-height ratio for each person. Anju: 68/1.74 ≈ 39.08. Ankita: 72/1.54 ≈ 46.75. Anupama: 69/1.77 ≈ 38.98. Anuradha: 68/1.71 ≈ 39.76. Anupama has the least ratio.

Question 15

Refer the below data table and answer the following Question.Division/StandardBoysGirlsDivisionA/Standard53025Division B/Standard 51525Division C/Standard54025Division A/Standard 62040Division B/Standard 61020Division C/Standard 63040What is the ratio of boys to girls?

Accepted Answer

Sum all boys: 30+15+40+20+10+30 = 145. Sum all girls: 25+25+25+40+20+40 = 175. The ratio of boys to girls is 145:175, which simplifies to 29:35.

Question 16

Refer the below data table and answer the following question.Weight in (kg)Height (M)Ali501.52Alok591.67Amit731.8Amol641.72Who has the least weight to height ratio ?

Accepted Answer

Calculate the weight-to-height ratio for each person. Ali: 50/1.52 ≈ 32.89. Alok: 59/1.67 ≈ 35.33. Amit: 73/1.8 ≈ 40.56. Amol: 64/1.72 ≈ 37.21. Ali has the least ratio.

Question 17

Refer the below data table and answer the following Question.Weight ( kg )Height (m )Ananya591.63Anchal671.74Anchita661.66Anisha721.68Who has the least weight to height ratio?

Accepted Answer

Calculate the weight-to-height ratio for each person by dividing weight by height. Ananya's ratio (59/1.63 ≈ 36.19) is the lowest among all, making her the correct answer.

Question 18

Refer the below data table and answer the following Question.YearCompany's % Profit20115201210201315201410201515What was the revenue of the company if its expenditure  was Rs 550 crore in the year when its % profit was the least?

Accepted Answer

The least profit is 5% in 2011. Profit = Revenue - Expenditure. Profit % = (Profit / Expenditure) * 100. So, 5 = ((Revenue - 550) / 550) * 100. Solving this gives Revenue = 577.5 crore.

Question 19

Refer the below data table and answer the following question.20112012201320142015Company A40003000300010002000Company C10001000100050004000Company C10001000400020001000For which of the following pairs of years the total exports from the three Companies together are equal?(Note: Figures given are in lakh rupees)

Accepted Answer

Calculate total exports for each year: 2011=6000, 2012=5000, 2013=8000, 2014=8000, 2015=7000. Years 2013 and 2014 both have total exports of 8000.

Question 20

Refer the below data table and answer the following Question.YearCompany's % profit201115201215201325201420201510What was the Revenue of the company if its Expenditure  was Rs 475 crore in the year when its % profit was the least?

Accepted Answer

The least profit percentage is 10% in 2015. Profit % = (Revenue - Expenditure) / Expenditure * 100. Substitute values: 10 = (Revenue - 475) / 475 * 100. Solving for Revenue gives 522.5 crore.