Staff Selection Commission Combined Higher Secondary Level Exam
Question : Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D, and C2 in A, B respectively. If $\angle$BDC=120°, then the value of $\angle$ABP is equal to
Option 1: 60°
Option 2: 80°
Option 3: 100°
Option 4: 120°
Correct Answer: 60°
Solution : Given $\angle$BDC = 120° Then, $\angle$CDP = 180° – 120° = 60° Here, CD || AB So, $\angle$CDP = $\angle$ABP $\therefore$ $\angle$ABP = 60° Hence, the correct answer is 60°.
Question : The table given below shows the population of two states A and B in 5 years.
What is the ratio of the total population of B in years R, S, and T to the total population of A in years P, Q, and R?
Option 1: 13 : 19
Option 2: 21 : 14
Option 3: 11 : 20
Option 4: 20 : 11
Correct Answer: 11 : 20
Solution : Total population of B in years R, S, and T = 200 + 100 + 250 = 550 Total population of A in years P, Q, and R = 250 + 450 + 300 = 1000 Required ratio = 550 : 1000 =
Question : What is the height of a cylinder that has the same volume and radius as a sphere of diameter 12 cm?
Option 1: 7 cm
Option 2: 10 cm
Option 3: 9 cm
Option 4: 8 cm
Correct Answer: 8 cm
Solution : The volume of a sphere = $\frac{4}{3}\pi r_{\text{s}}^3$ Where $r_{\text{s}}$ is the radius of the sphere. The volume of a cylinder = $\pi r_{\text{c}}^2 h_{\text{c}}$ Where $r_{\text{c}}$ is the radius of the base of the cylinder and $h_{\text{c}}$ is the height of the cylinder.
Question : Lingaraja Temple is situated in which of the following states of India?
Option 1: Odisha
Option 2: Karnataka
Option 3: Maharashtra
Option 4: Tamil Nadu
Correct Answer: Odisha
Solution : The correct option is Odisha.
The Lingaraja Temple is situated in the state of Odisha, India. It is located in the capital city of Bhubaneswar. The temple is dedicated to Lord Shiva and is one of the most important and prominent temples in the region.
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: 83
Option 2: 64
Option 3: 56
Option 4: 98
Correct Answer: 64
Solution : Let's check the options – First option: 83; 83 is not the square of any number. Second option: 64; 64 is a perfect square. Third option: 56; 56 is not a perfect square. Fourth option: 98; 98 is not a perfect square.
So, the second
Question : Directions: Which number will replace the question mark (?) to complete the given series? 15, 16, 20, 29, 45, (?)
Option 1: 70
Option 2: 65
Option 3: 75
Option 4: 60
Correct Answer: 70
Solution : Given: 15, 16, 20, 29, 45, (?)
Add the squares of the consecutive natural numbers in the previous term to get the next term. 15 + 12 = 15 + 1 = 16; 16 + 22 = 16 + 4 = 20; 20
Question : Directions: In a certain code language, A & B means A is the wife of B, A + B means A is the brother of B, A × B means A is the sister of B, A – B means A is the father of B. Based on the above, how is L related to K in L + M × D – K?
Option 1: Father
Option 2: Mother's sister
Option 3: Mother
Option 4: Father's brother
Correct Answer: Father's brother
Solution : Given: L + M means L is the brother of M. M × D means M is the sister of D. D – K means D is the father of K.
According to the given information, the family tree will be –
Here, the
Question : Refer to the following data table and answer the question.
If 400 calories are burnt by jogging 5 km, how many calories were burnt in the given week?
Option 1: 1680 calories
Option 2: 1580 calories
Option 3: 1590 calories
Option 4: 2240 calories
Correct Answer: 2240 calories
Solution : From the table, The total distance jogged in the week = 28 km. Given that 400 calories are burnt by 5 km jogging. The number of calories burnt per km = $\frac{400}{5}$ = 80 calories/km The total number of calories burnt in the week
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Children learn to walk and talk naturally; (1)_____that is not the case with reading. Reading strategies are designed to help your child develop a strong reading (2)______one built with confidence, engagement, and joy. As a parent, you are most likely always looking for (3)_____that make your child want to learn. We are here to help you and your child on their journey as a (4)_____reader. Try some reading strategy suggestions below for kids (5)____are beginning to read all the way to those reading advanced chapter books.
Question: Select the most appropriate option to fill in the blank number 2.
Option 1: presumption
Option 2: foundation
Option 3: corporation
Option 4: fluctuation
Correct Answer: foundation
Solution : The correct choice is the second option.
Explanation: In the context of this paragraph, the correct option foundation refers to the basis or groundwork, and it fits well with the idea of building a strong reading base.
The meanings of the other options are as
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct. I won't bore you with the details, but I finally finish my taxes.
Option 1: final finishing
Option 2: finally finishing
Option 3: finally finished
Option 4: No improvement
Correct Answer: finally finished
Solution : The second option is correct.
The context of the sentence indicates that the speaker finally finished his taxes.
So, the past tense verb finished should be used instead of the present tense verb finish.
Therefore, the correct sentence is: "I won't bore you
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