SSC CHSL 2017 PYQs

Question 1

One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus?

Accepted Answer

A rhombus with a 60° angle forms two equilateral triangles with the shorter diagonal. Side length is 8 cm. The longer diagonal is 8√3 cm. Area = (1/2) * d1 * d2 = (1/2) * 8 * 8√3 = 32√3 sq cm.

Question 2

In the following question, some part of the sentence may  have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.Indian Defence forces(A)/fought the enemy(B)/till the last  soldier was standing.(C)/No error(D)

Accepted Answer

The error is in part (A). 'Indian Defence forces' should be 'The Indian Defence forces' because it refers to a specific, well-known entity.

Question 3

Improve the bracketed part of the sentence.(It is) a pleasant day, we went for a walk.

Accepted Answer

The sentence requires an absolute phrase to modify the entire clause. 'It being' correctly forms this construction, indicating the reason for going for a walk.

Question 4

Select the antonym of ingestion

Accepted Answer

Ingestion means taking food into the body. Its antonym is excretion, which means expelling waste from the body. The other options are synonyms or related to ingestion.

Question 5

The radius of a hemisphere is 21 cm, what is its volume? (Take π = 22/7)

Accepted Answer

The volume of a hemisphere is (2/3)πr³. Substitute r=21 cm and π=22/7. Calculate (2/3) * (22/7) * 21 * 21 * 21 to get 19404 cubic cms.

Question 6

Points P and Q lies on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ and triangle ABC is  9:16, then what is the ratio of AP:PB?

Accepted Answer

The correct preposition is 'on' for points lying on a side. 'Lies on side' is grammatically correct. The original sentence uses 'lies on side' which is correct.

Question 7

When a discount of 20% is given on a movie ticket, the  profit is 34%. If the discount is 15%, then the profit is

Accepted Answer

Assume MP = 100. SP1 = 80. CP = SP1 / (1 + Profit%) = 80 / 1.34 = 59.70. If discount is 15%, SP2 = 85. Profit% = (SP2 - CP) / CP * 100 = (85 - 59.70) / 59.70 * 100 = 42.375%.

Question 8

Choose the synonym of defecate

Accepted Answer

Defecate means to discharge feces from the body. Secrete means to produce and discharge a substance. Both involve expelling waste or a substance from the body.

Question 9

In the following question, sentence given with blank is to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by  selecting the appropriate option.For three months, I have had a ______________headache.

Accepted Answer

The word 'chronic' means persisting for a long time or constantly recurring, which perfectly describes a headache lasting three months. It fits the context of a prolonged medical condition.

Question 10

Rearrange the parts of the sentence in correct order.Today, however, when one in four rural IndiansP-in identifying the poor are far greaterQ-is poor, our chances of being wrongR-and one in six urban Indians

Accepted Answer

The sentence starts with 'Today, however, when one in four rural Indians'. It should be followed by 'is poor' (Q) and then 'and one in six urban Indians' (R). Finally, 'our chances of being wrong in identifying the poor are far greater' (P) completes the thought.

Question 11

Rearrange the parts of the sentence in correct order.Williamson shoveled scorn onP-the low-income white Republican voters who, Q-were  most responsible for the rise of TrumpR-as he saw it,

Accepted Answer

The sentence starts with 'Williamson shoveled scorn on'. 'P' logically follows, identifying 'the low-income white Republican voters'. 'R' then clarifies 'as he saw it', referring to Williamson's perspective. Finally, 'Q' completes the thought, explaining what those voters 'were most responsible for'.

Question 12

Select the antonym of coalesce

Accepted Answer

Coalesce means to come together and form one mass or whole. Therefore, its antonym is 'separate,' meaning to divide or disconnect.

Question 13

Improve the bracketed part of the sentence.The public vent their anger on social media to protest  (toward) police brutality.

Accepted Answer

The correct preposition to express opposition or disagreement is 'against'. People protest against something they disapprove of, making 'against' the most suitable choice here.

Question 14

Ifcot2A−cos2A=x, then value of x is

Accepted Answer

Rewrite cot²A as cos²A/sin²A. Factor out cos²A, leaving (1/sin²A - 1). Simplify to cos²A(1-sin²A)/sin²A, which is cos²A(cos²A/sin²A) or cot²Acos²A.

Question 15

Which of the following equations has the sum of its roots  as 7?

Accepted Answer

For a quadratic equation ax²+bx+c=0, the sum of roots is -b/a. In option 2, x²-7x+10=0, a=1, b=-7. So, sum of roots = -(-7)/1 = 7.

Question 16

The price of an article is cut by 7%, to restore it to its  original value, the new price must be increased by

Accepted Answer

Let original price be 100. After 7% cut, new price is 93. To restore 100 from 93, increase needed is (7/93)*100 = 7.53%.

Question 17

Select the synonym ofproximity

Accepted Answer

Proximity means nearness in space, time, or relationship. Imminent means about to happen, or close at hand. Thus, 'imminent' is the closest synonym.

Question 18

Improve the bracketed part of the sentence. Fans (queue) for the concert tickets since early morning.

Accepted Answer

The phrase 'since early morning' indicates an action that started in the past and is continuing in the present. This requires the present perfect continuous tense, which is 'have been queuing up'.

Question 19

Select the antonym of loiter

Accepted Answer

To 'loiter' means to stand or wait around idly. The antonym is 'hasten', which means to move or act quickly.

Question 20

What are the coordinates of the centroid of a triangle, whose vertices are A(-2,5), B(4,4) and C(7,-3)?

Accepted Answer

The centroid coordinates are found by averaging the x-coordinates and y-coordinates separately. Sum the x-values (-2+4+7=9) and divide by 3 (9/3=3). Sum the y-values (5+4-3=6) and divide by 3 (6/3=2). Thus, the centroid is (3,2).