SSC CHSL 2017 PYQs

Question 1

Select the synonym of rip

Accepted Answer

The word 'rip' means to tear or cut something quickly or violently. 'Gash' means a long, deep cut. Therefore, 'gash' is the closest synonym.

Question 2

Rearrange the parts of the sentence in correct order.Ironically, in spite of a decline in poverty,P-the proportion ofQ-the population receiving welfareR-benefits has risen sharply

Accepted Answer

The sentence starts with 'Ironically, in spite of a decline in poverty,'. The next logical part is 'P-the proportion of', followed by 'Q-the population receiving welfare', and finally 'R-benefits has risen sharply'. This forms a coherent sentence.

Question 3

Δ DEF and Δ GHI are similar triangles. Length of DE is 4 cm and length of the corresponding side GH is 9cm. What is the ratio of areas of Δ DEF and Δ GHI?

Accepted Answer

For similar triangles, the ratio of their areas is the square of the ratio of their corresponding sides. So, (Area of Δ DEF) / (Area of Δ GHI) = (DE/GH)^2 = (4/9)^2 = 16/81.

Question 4

The average revenues of 13 consecutive years of a  company is Rs 82 lakhs. If the average of first 7 years is Rs 77 lakhs and that of last 7 years is Rs 89 lakhs, find the revenue for the 7th year.

Accepted Answer

Total revenue for 13 years = 13 * 82 = 1066. Total for first 7 years = 7 * 77 = 539. Total for last 7 years = 7 * 89 = 623. The 7th year's revenue is (539 + 623) - 1066 = 1162 - 1066 = 96 lakhs.

Question 5

4 hrs after a goods train passed a station, another train travelling at a speed of 72 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?

Accepted Answer

Let the speed of the goods train be 'x' km/hr. The goods train travels for 4 hours before the second train starts. The second train overtakes the goods train in 8 hours. Distance covered by goods train in (4+8) = 12 hours equals distance covered by the second train in 8 hours. So, 12x = 72 * 8. Solving for x gives 48 km/hr.

Question 6

In the first 32 overs of a cricket match, the run rate was 7.2 runs/over. What is the required run rate in the remaining 18 overs to reach the target of 297 runs?

Accepted Answer

Runs scored in 32 overs = 32 * 7.2 = 230.4. Remaining runs = 297 - 230.4 = 66.6. Required run rate = 66.6 / 18 = 3.7 runs/over.

Question 7

The bus fare between two cities is increased in the ratio  11:18. What would be the increase in the fare, if the original fare is Rs 550?

Accepted Answer

The original fare is 11 parts, which is Rs 550. So, 1 part = 550/11 = Rs 50. The increase is 18 - 11 = 7 parts. Thus, increase = 7 * 50 = Rs 350.

Question 8

Two students appeared for an examination. One of them secured 13 marks more than the other and his marks were 76% of the sum of their marks. The marks  obtained by them are

Accepted Answer

Let marks be x and x+13. Sum is 2x+13. (x+13) = 0.76 * (2x+13). Solve for x. x=6, so marks are 6 and 19.

Question 9

At 22% discount the selling price of a refrigerator is Rs 26000, what is the selling price if the discount is 40%?

Accepted Answer

First, find the original marked price: 26000 / (1 - 0.22) = 26000 / 0.78 = 33333.33. Then, apply the 40% discount: 33333.33 * (1 - 0.40) = 33333.33 * 0.60 = 20000.

Question 10

Improve the bracketed part of the sentence.In the housing society where I live there is a nice house (to  let out).

Accepted Answer

The correct idiomatic expression for a house available for rent is 'to let'. 'To let out' is redundant and not standard English usage in this context.

Question 11

Rearrange the parts of the sentence in correct order.It is a truth universallyP-acknowledged that a singleQ-man in possession of a goodR-fortune must be in want of a wife

Accepted Answer

The sentence starts with 'It is a truth universally'. 'acknowledged' logically follows 'universally'. Then 'that a single man' makes sense, followed by 'in possession of a good fortune'. The correct sequence is PQR.

Question 12

To travel 816 km, an Express train takes 9 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 4 hours less than Rajdhani. What is the speed of Rajdhani?

Accepted Answer

Let Rajdhani's speed be R and Express's speed be E. Formulate equations based on time differences. Solve the system of equations to find R. The correct speed is 48 km/hr.

Question 13

Ifxy=−30andx2+y2=61then find the value of (x + y).

Accepted Answer

Use the identity (x + y)² = x² + y² + 2xy. Substitute the given values: (x + y)² = 61 + 2(-30) = 61 - 60 = 1. Therefore, x + y = ±1. Since 1 is an option, it is the answer.

Question 14

Find co-ordinates of the mid point of the segment joining  points C (3,-5) and D (-7,3).

Accepted Answer

Use the midpoint formula: ((x1+x2)/2, (y1+y2)/2). Substitute C(3,-5) and D(-7,3) to get ( (3-7)/2, (-5+3)/2 ) = (-4/2, -2/2) = (-2,-1).

Question 15

Chord AB of a circle when extended meets the tangent  to the circle at point P. PT is the tangent touching the circle at point T. If lengths of PT and PB are 6 cm and 4 cm respectively, what is the length of PA?

Accepted Answer

According to the Tangent-Secant Theorem, PT² = PA × PB. Substitute the given values: 6² = PA × 4. This simplifies to 36 = 4PA, so PA = 9 cm.

Question 16

Dodecahedron has 30 edges. How many vertices does it  have?

Accepted Answer

A dodecahedron has 12 faces. Using Euler's formula V - E + F = 2, where E=30 and F=12, we get V - 30 + 12 = 2, so V = 20.

Question 17

What least number must be added to 1039, so that the sum obtained is completely divisible by 29?

Accepted Answer

Divide 1039 by 29. The remainder is 24. To make it perfectly divisible, subtract the remainder from the divisor (29 - 24 = 5). So, 5 must be added.

Question 18

26 is 0.4% of which number?

Accepted Answer

Let the number be x. So, 0.4% of x = 26. This means (0.4/100) * x = 26. Solving for x, x = (26 * 100) / 0.4 = 2600 / 0.4 = 6500.

Question 19

Rearrange the parts of the sentence in correct order.Your absence hasP-gone through me Q-through a needle R-like thread

Accepted Answer

The idiom 'like thread through a needle' means to pass through something with difficulty. Arranging the parts as P-R-Q forms this meaningful idiom, completing the sentence correctly.

Question 20

What would be the equation of the line, which intercepts x-axis at -5 and is perpendicular to the line y = 2x + 3?

Accepted Answer

The given line has a slope of 2. A perpendicular line will have a slope of -1/2. Using the point-slope form (y - y1 = m(x - x1)) with point (-5, 0), the equation becomes y - 0 = -1/2(x - (-5)), simplifying to 2y = -x - 5, or x + 2y = -5.