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
10B
3C
12D
7Question 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 kgB
61 kgC
61.5 kgD
70 kgQuestion 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 yearsB
30 yearsC
56 yearsD
45 yearsQuestion 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 : 125B
4 : 5C
16 : 25D
125 : 64Question 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
2B
0C
1D
3Question 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
80B
74C
82D
78Question 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
-1B
3C
-3D
0Question 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
₹37,128B
₹29,728C
₹17,128D
₹39,724Question 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
672.672B
762.255C
863.25D
358.8Question 838
Comprehension
<p>The value of 5 + 24 × 8 ÷ 8 of 8 - 8 ÷ 8 × 4 of 4 is equal to:</p>
A
-9B
9C
8D
-8Question 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
63B
60C
61D
62Question 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/sB
7.5 m/sC
8 m/sD
7 m/sQuestion 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 7,000B
Rs 6,000C
Rs 7,500D
Rs 6,500Question 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
23B
46C
5D
10Question 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
2,080.12B
1,890.20C
1,997.26D
1,923.56Question 844
Comprehension
The average of 11 results is 60 and that of the first 10 is 59. The 11th result is?
A
70B
60C
69D
59Question 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
59B
69C
58D
68Question 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
₹2,900B
₹3,200C
₹2,800D
₹3,100Question 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
25B
20C
15D
10Question 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 cmB
23 cmC
21 cmD
24 cmQuestion 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
4,000B
3,600C
2,950D
4,200