SSC CHSL 2022 PYQs

Question 1

If α is an acute angle, which of the following options will NOT necessarily be equal to the value of cosec α?

Accepted Answer

Cosec α is defined as 1/sin α. Also, 1 + cot²α = cosec²α, so √1+cot²α = cosec α. And cot α / cos α simplifies to (cos α / sin α) / cos α = 1/sin α = cosec α. Thus, 1/cos α is the only option not equal to cosec α.

Question 2

A and B share a few marbles in the ratio 4 ∶ 5. If B gets 10 marbles more than A, then what is A's share?

Accepted Answer

The ratio difference (5-4=1) corresponds to 10 marbles. So, 1 unit = 10 marbles. A's share is 4 units, which is 4 * 10 = 40 marbles.

Question 3

Madhuri spends 80% of her salary and Sushma spends 95% of her salary. But the savings of both are equal. Find the income of Sushma, if the sum of their incomes is Rs. 10,000.

Accepted Answer

Let Madhuri's income be M and Sushma's be S. Madhuri saves 20% of M, Sushma saves 5% of S. Since savings are equal, 0.20M = 0.05S, so M = S/4. Given M+S = 10000. Substitute M: S/4 + S = 10000 => 5S/4 = 10000 => S = 8000.

Question 4

By what percent the new price of the article must be increased to restore its former value, if the cost of the article is cut by 25% in the past?

Accepted Answer

Let original price be 100. After 25% cut, new price is 75. To restore 100 from 75, increase needed is 25. Percentage increase = (25/75) * 100 = 33.33%.

Question 5

If x + y + z = 0, then find the value of x3+ y3+ z3- 3xyz.

Accepted Answer

Recall the algebraic identity: if x + y + z = 0, then x³ + y³ + z³ - 3xyz = 0. This directly gives the answer.

Question 6

In a ΔABC, right angled at B, if tan A =‌1√3, then sin A . cos C + cos A . sin C = ______.

Accepted Answer

The expression sin A cos C + cos A sin C is the expansion of sin(A+C). Since ΔABC is right-angled at B, A+C = 90°. Thus, sin(A+C) = sin(90°) = 1.

Question 7

In a school, a survey is taken on sports loving children as given in the following table. Any student who loves one sport is understood to dislike the other sport.What is the difference between the number of boys and the number of girls in the school?CricketSoccerBoys542438Girls358372

Accepted Answer

Total boys = 542 + 438 = 980. Total girls = 358 + 372 = 730. Difference = 980 - 730 = 250.

Question 8

A number is increased by 10% and then the increased number is decreased by 20%. The net increase or decrease is:

Accepted Answer

Assume the number is 100. Increased by 10% makes it 110. Decreased by 20% (of 110) means 110 - 22 = 88. The net change is 100 - 88 = 12% decrease.

Question 9

What is the value of 1980 ÷ 9 +[−77+{−1980+(‌14‌‌of‌‌7920)}]?

Accepted Answer

First, calculate 1/4 of 7920, which is 1980. Then, solve inside the brackets: -1980 + 1980 = 0. Next, -77 + 0 = -77. Finally, 1980 ÷ 9 = 220, so 220 + (-77) = 143.

Question 10

The bar graph below gives the number of boys and girls in four different classes of a school.As per the information provided in the bar graph, among all the four classes, which class has the least number of students, boys and girls taken together

Accepted Answer

Sum the number of boys and girls for each class. Class VI has 30 boys + 30 girls = 60 students, which is the lowest total among all classes.

Question 11

Study the given table carefully to answer the question that follows.The following table gives the information about the population of five different cities in the year 2020.CityTotal Population% of Men% of Women% of ChildrenP4680045%35%20%Q4540035%50%15%R4200048%42%10%S3925042%42%16%T4620040%45%15%The number of children in city S is:

Accepted Answer

To find the number of children in city S, multiply the total population of city S (39250) by the percentage of children (16%). So, 39250 * 0.16 = 6280.

Question 12

Which of the following options is NOT divisible by 18?

Accepted Answer

A number is divisible by 18 if it's divisible by both 2 and 9. Check divisibility by 2 (even number) and then by 9 (sum of digits divisible by 9). Option 3 is not divisible by 9.

Question 13

Find the total surface area of a cylinder with diameter of base 28 cm and height 70 cm. (Take π = 22/7)

Accepted Answer

The total surface area of a cylinder is 2πr(h+r). Given diameter is 28 cm, so radius r = 14 cm. Height h = 70 cm. Substitute values: 2 * (22/7) * 14 * (70+14) = 2 * 22 * 2 * 84 = 7392 cm².

Question 14

Which river basin covers an area of 8,60,000 km2and is spread across 11 Indian states?

Accepted Answer

The Ganga basin is the largest river basin in India, covering approximately 8,60,000 km² and extending across 11 states.

Question 15

Thetakudi Harihara Vinayakram, an Indian percussionist, is known for popularising which of the following musical instruments?

Accepted Answer

Thetakudi Harihara Vinayakram is a renowned Indian percussionist famous for popularising the Ghatam, a clay pot instrument, in Carnatic music.

Question 16

Who wrote the autobiography entitled ‘I am No Messiah’?

Accepted Answer

The autobiography 'I am No Messiah' was written by actor and philanthropist Sonu Sood. This is a direct factual recall question.

Question 17

Who among the following personalities has written the National Song ‘Vande Mataram’?

Accepted Answer

Bankim Chandra Chattopadhyay wrote 'Vande Mataram'. It is India's national song, first published in his novel 'Anandamath'.

Question 18

Who among the following is the author of the book ‘Fasting, Feasting’?

Accepted Answer

Anita Desai is the acclaimed author of 'Fasting, Feasting'. This is a direct recall question about famous literary works and their creators.

Question 19

Gaddam Padmaja Reddy was awarded the Padma Shri in 2022 for her contributions to which of the following dance forms?

Accepted Answer

Gaddam Padmaja Reddy received the Padma Shri in 2022 for her significant contributions to Kuchipudi, a classical Indian dance form from Andhra Pradesh.

Question 20

Who among the following cricketers won the orange cap in IPL 2021?

Accepted Answer

Ruturaj Gaikwad won the Orange Cap in IPL 2021 for scoring the most runs. This is a direct factual recall question.