SSC-CHSL 2024 English

Practice subject-wise previous year questions

Question 826
Comprehension

Find the value of \(3(\sec^2 A - 1)(\cos e A - 1)(\cos e A + 1) + 4(\csc^2 A - \cot^2 A)\).

A
10
B
3
C
12
D
7
Question 827
Comprehension

The weights (in kg) of 7 cousins in a family are 54, 62, 65, 70, 60, 59, 55. Find the median weight.

A
60 kg
B
61 kg
C
61.5 kg
D
70 kg
Question 828
Comprehension

If a man's age is four times the sum of the ages of his three children, and after 6 years his age will be twice the sum of the ages of his three children, what is the man's present age?

A
60 years
B
30 years
C
56 years
D
45 years
Question 829
Comprehension

Simplify \((2z - 5y)^2 + (5z + 2y)^2 - 25z^2\).

A
\(19y^2 - 4z^2\)
B
\(29y^2 - 4z^2\)
C
\(19y^2 + 4z^2\)
D
\(29y^2 + 4z^2\)
Question 830
Comprehension

The radii of two spheres are in the ratio 4:5. Their volume will be in the ratio:

A
64 : 125
B
4 : 5
C
16 : 25
D
125 : 64
Question 831
Comprehension

The numbers of Commerce, Science and Arts postgraduates working in a company are 40, 80 and 60, respectively. If these figures are represented by a pie chart, then what is the angle corresponding to Commerce postgraduates?

A
80°
B
50°
C
70°
D
60°
Question 832
Comprehension

In triangle PQR, incentre is A and \(\angle QAR = 116°\). Find \(\angle QPR\).

A
52°
B
27°
C
26°
D
54°
Question 833
Comprehension

If 88 is replaced by 93 and 41 is replaced by 47 in the observations 46, 48, 63, 76, 88, 41, 35, 55, 90, 56, 92, then what would be the difference between the new median and the previous median?

A
2
B
0
C
1
D
3
Question 834
Comprehension

The average of five integers is 48. The average of the first four integers is 50% of the 5th integer. The 5th integer is:

A
80
B
74
C
82
D
78
Question 835
Comprehension

Find the value of \(\sin^6 A + \cos^6 A + 3\sin^2 A \cos^2 A (\cos A - \sin^4 A + 1) \csc^2 A\).

A
-1
B
3
C
-3
D
0
Question 836
Comprehension

If an increase of 40% is observed on an amount in 4 years at simple interest, what will be the compound interest on ₹80,000 after 4 years at the same rate?

A
₹37,128
B
₹29,728
C
₹17,128
D
₹39,724
Question 837
Comprehension

For making a toy, a hemisphere is attached at one end of a cylinder and a cone is attached at the other end. The cylinder, the cone and the hemisphere have a common radius of 4.2 cm. The height of the cylinder and that of the cone is 7 cm. Find the volume (in cm³) of the toy. (Use \(\pi = \frac{22}{7}\))

A
672.672
B
762.255
C
863.25
D
358.8
Question 838
Comprehension

<p>The value of 5 + 24 × 8 ÷ 8 of 8 - 8 ÷ 8 × 4 of 4 is equal to:</p>  

A
-9
B
9
C
8
D
-8
Question 839
Comprehension

A number 37 is divided into two parts such that 5 times one part and 11 times the other is together equal to 227. Find the value of 9 times the smaller number.

A
63
B
60
C
61
D
62
Question 840
Comprehension

Tarun gives Hari a head-start of 60 seconds in a 2400 m race and still beats him by 40 seconds. If the speed of Hari is 6 m/s, find the speed of Tarun.

A
8.5 m/s
B
7.5 m/s
C
8 m/s
D
7 m/s
Question 841
Comprehension

Sandeep made a profit of 22% when he sold an overcoat for 8,540. Find the cost price of the overcoat.

A
Rs 7,000
B
Rs 6,000
C
Rs 7,500
D
Rs 6,500
Question 842
Comprehension

ABCD is a trapezium in which AB is parallel to CD, and E and F are the mid-points of non-parallel sides AD and BC. If EF is parallel to AB, AB = 28 cm and CD = 18 cm, then find EF (in cm).

A
23
B
46
C
5
D
10
Question 843
Comprehension

The marked price of an article is ₹2,800. It is sold at three successive discounts of 15%, 8% and 5%. Find the selling price of the article (in ₹).

A
2,080.12
B
1,890.20
C
1,997.26
D
1,923.56
Question 844
Comprehension

The average of 11 results is 60 and that of the first 10 is 59. The 11th result is?

A
70
B
60
C
69
D
59
Question 845
Comprehension

A die is cast twice and a coin is tossed thrice. Find the probability that the die will turn a 5 each time and the coin will turn a head every time.

A
\(\frac{1}{50}\)
B
\(\frac{1}{288}\)
C
\(\frac{1}{100}\)
D
\(\frac{1}{200}\)
Question 846
Comprehension

The average of 11 results is 59 and that of the first 10 is 58. The 11th result is?

A
59
B
69
C
58
D
68
Question 847
Comprehension

A sum on simple interest at the rate of 5% per annum amounts to ₹4,160 in 6 years. Find the sum.

A
₹2,900
B
₹3,200
C
₹2,800
D
₹3,100
Question 848
Comprehension

A milk vendor has 75 litres of cow milk, 45 litres of toned milk and 30 litres of full cream milk. These should be placed in different trays such that each tray contains the same quantity of milk and two kinds of milk should not be mixed in a tray. What is the least number of trays required to place all the milk?

A
25
B
20
C
15
D
10
Question 849
Comprehension

A cylinder has a radius of \(\frac{5}{7}\) cm and its volume is 448 \(cm^3\). What is the height of the cylinder (take \(\pi = \frac{22}{7}\))?

A
22 cm
B
23 cm
C
21 cm
D
24 cm
Question 850
Comprehension

A, B and C jointly started a business in which A invested ₹7,000 for 12 months, B invested ₹8,000 for 10 months and C invested ₹12,000 for 6 months. A was the working member for which he received 20% of the profits as his remuneration. The total profit earned at the end of one year was ₹14,750. What is C's share (in ₹) in the profit?

A
4,000
B
3,600
C
2,950
D
4,200