SSC CHSL 2017 PYQs

Question 1

(cosecA - sinA)(secA - cosA)(tanA + cotA) is equals to

Accepted Answer

Convert all terms to sinA and cosA. Simplify each bracket: (1-sin²A)/sinA, (1-cos²A)/cosA, (sin²A+cos²A)/(sinAcosA). Multiply them to get (cos²A/sinA) * (sin²A/cosA) * (1/sinAcosA) = 1.

Question 2

A bag has Rs12.9 in the form of 1 rupee, 50 paise and 10  paise coins in the ratio of 3:2:3. How many 50 paise coins are there in the bag?

Accepted Answer

Convert all values to paise. Let the number of coins be 3x, 2x, 3x. Total value: 3x(100) + 2x(50) + 3x(10) = 1290. Solve for x, then find 2x.

Question 3

In the following question, a sentence has been given in  Active/Passive voice. Out of four alternatives suggested, select the one, which best expresses the same sentence in Passive/Active voice.We have finished the assignment.

Accepted Answer

The active sentence is in the present perfect tense. To convert it to passive voice, use 'has/have been' + past participle. 'The assignment' is singular, so 'has been finished' is correct.

Question 4

In a triangle the length of the side opposite the right angle is 6 cm, what is the length of the side opposite to the angle which measures 30°?

Accepted Answer

In a 30-60-90 triangle, the side opposite the 30° angle is half the hypotenuse. Given hypotenuse is 6 cm, so the side opposite 30° is 6/2 = 3 cm.

Question 5

x and y are two numbers such that their mean proportion  is 6 and third proportion is 48. What is the value of x and y?

Accepted Answer

Mean proportion of x and y is sqrt(xy) = 6, so xy = 36. Third proportion is y^2/x = 48. Substitute x = 36/y into the second equation to find y=12, then x=3.

Question 6

Which of the following equations has the sum of its roots as 11?

Accepted Answer

For a quadratic equation ax^2 + bx + c = 0, the sum of roots is -b/a. In option 1, -(-11)/1 = 11.

Question 7

Rearrange the parts of the sentence in correct orderThe truth about these P-communities is that Q-they  deserve to dieR-dysfunctional, downscale

Accepted Answer

The sentence starts with 'The truth about these'. 'R' describes the communities, so 'R' comes next. 'P' completes the subject, and 'Q' states the consequence. Thus, R-P-Q forms a coherent sentence.

Question 8

Select the synonym of splinter

Accepted Answer

A splinter is a small, sharp piece broken off from a larger object. 'Chip' also refers to a small piece broken off, making it the closest synonym.

Question 9

Improve the bracketed part of the sentence. Virat bats very well, (didn't he)?

Accepted Answer

The main verb 'bats' is in simple present tense. Therefore, the correct question tag should be 'doesn't he', matching the tense and subject.

Question 10

Select the synonym of bedevilmen

Accepted Answer

Bedevilment means to cause great and continuous trouble. 'Beset' means to trouble or threaten persistently. Thus, 'beset' is the closest synonym.

Question 11

Rearrange the parts of the sentence in correct order.The twenty-four tributesP-that could hold anything from aQ-will be imprisoned in a vast outdoor arenaR-burning desert to a frozen wastelan

Accepted Answer

The sentence starts with 'The twenty-four tributes'. 'Q' logically follows as it describes their fate: 'will be imprisoned in a vast outdoor arena'. 'P' then describes the arena: 'that could hold anything from a', and 'R' completes the description: 'burning desert to a frozen wasteland'.

Question 12

If 2x + 5 > 2 + 3x and 2x-3 ≤ 4x-5, then x can take which of the following values?

Accepted Answer

Solve the first inequality: 2x + 5 > 2 + 3x => 3 > x. Solve the second: 2x - 3 ≤ 4x - 5 => 2 ≤ 2x => 1 ≤ x. Combining, 1 ≤ x < 3. The only option in this range is 2.

Question 13

The mean of marks secured by 55 students in division-A of class X is 55, 45 students of division-B is 51 and that of 40 students of division-C is 49. What is the  mean of marks of the students of three divisions of class X?

Accepted Answer

Calculate the total marks for each division (students × mean). Sum these totals and divide by the total number of students (55+45+40 = 140) to find the combined mean.

Question 14

1/(secA + tanA) is equal to

Accepted Answer

Multiply the numerator and denominator by the conjugate (secA - tanA). Using the identity sec²A - tan²A = 1, the expression simplifies to secA - tanA.

Question 15

Improve the bracketed part of the sentence.The unfortunate old man was knocked (away by) the  rash driver.

Accepted Answer

The phrasal verb 'knocked out' means to make someone unconscious, which fits the context of an accident. 'Knocked away' is not a standard phrasal verb for this meaning.

Question 16

Rearrange the parts of the sentence in correct order.In that case,P-put together the best gender-justQ-practices from all Personal LawsR-a Uniform Civil Code would simply

Accepted Answer

The sentence starts with 'In that case, a Uniform Civil Code would simply' (R). It then logically follows with 'put together the best gender-just' (P), and concludes with 'practices from all Personal Laws' (Q). Thus, RPQ forms a coherent sentence.

Question 17

If the radius of a circle is increased by 14% its area  increases by

Accepted Answer

Let the original radius be R. New radius is 1.14R. Original area is πR². New area is π(1.14R)² = π(1.2996R²). Percentage increase = (1.2996 - 1) * 100 = 29.96%.

Question 18

What is the value ofcos2(A∕2)?

Accepted Answer

Recall the half-angle identity for cosine: cos²(x) = (1 + cos(2x))/2. Substituting x = A/2 gives cos²(A/2) = (1 + cosA)/2.

Question 19

tan(A/2) is equal to

Accepted Answer

We know that tan(A/2) = (1 - cosA) / sinA. Splitting this gives 1/sinA - cosA/sinA, which simplifies to cosecA - cotA.

Question 20

Select the antonym of outlandish

Accepted Answer

Outlandish means bizarre or unfamiliar. Therefore, 'common' which means ordinary or usual, is its direct antonym.