Staff Selection Commission Combined Higher Secondary Level Exam
Question : What is the Inter Tropical Convergence Zone (ITCZ)?
Option 1: A region with a high annual rainfall.
Option 2: A low-pressure zone located at the equator.
Option 3: A zone where air tends to descend.
Option 4: A high-pressure zone located at the equator.
Correct Answer: A low-pressure zone located at the equator.
Solution : The correct option is A low-pressure zone located at the equator.
Encircling the Earth close to the equator is a belt of low pressure known as the Inter-Tropical Convergence Zone (ITCZ). The trade winds from the northern and southern
Question : Two circles touch each other externally at any point C. PQ is the direct common tangent to both the circles touching the circles at point P and point Q. If the radii of the circles are 36 cm and 16 cm, respectively, then the length of PQ is:
Option 1: 42 cm
Option 2: 24 cm
Option 3: 48 cm
Option 4: 36 cm
Correct Answer: 48 cm
Solution : $R = 36$ cm $r = 16$ cm $\therefore$ PQ = $\sqrt{d^2-(R-r)^2}$ = $\sqrt{(R+r)^2-(R-r)^2}$ = $\sqrt{(R^2+r^2+2Rr-(R^2-2Rr+r^2)}$ = $\sqrt{4Rr}$ = $\sqrt{4×36×16}$ = $48$ cm Hence, the correct answer is 48 cm.
Question : Directions: What should come in place of the question mark (?) in the given series? 48, 100, ?, 1232, 6170
Option 1: 306
Option 2: 280
Option 3: 304
Option 4: 214
Correct Answer: 306
Solution : Given: 48, 100, ?, 1232, 6170
In the given series, multiply the numbers with consecutive natural numbers from 2 onwards and add consecutive even numbers from 4 onwards to find the next term. (48 × 2) + 4 = 96 + 4 = 100; (100
Question : Some staff promised to do a job in 18 days, but 6 of them went on leave. So the remaining men took 20 days to complete the job. How many men were there originally?
Option 1: 55
Option 2: 62
Option 3: 56
Option 4: 60
Correct Answer: 60
Solution : Let the total number of men be $x$. The work is the same. So, $W_1=W_2=1$ Use the following formula to solve the question: $\frac{M_{1}\times D_{1}}{W_{1}}=\frac{M_{2}\times D_{2}}{W_{2}}$ Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done. $\frac{x×18}{1}=\frac{(x-6)20}{1}$
Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
Option 1: 161
Option 2: 162
Option 3: 163
Option 4: 164
Correct Answer: 162
Solution : Average height of 30 boys = 160 cm The average height of the remaining 20 boys = 165 cm We have to find out the average height of the whole class which is = $\frac{30\times 160 + 20\times 165}{50}$ = $\frac{4800 + 3300}{50}$ = $\frac{8100}{50}$
Question : If $(4 \sin \theta+5 \cos \theta)=3$, then the value of $(4 \cos \theta-5 \sin \theta)$ is:
Option 1: $3 \sqrt{2}$
Option 2: $4 \sqrt{2}$
Option 3: $2 \sqrt{3}$
Option 4: $2 \sqrt{5}$
Correct Answer: $4 \sqrt{2}$
Solution : $(4 \sin \theta+5 \cos \theta)=3$ Squaring both sides, we get, $⇒16 \sin^2 \theta+25 \cos^2 \theta+40\sin\theta\cos\theta=9$ $⇒16(1-\cos^2 \theta)+25(1-\sin^2 \theta) + 40\sin\theta\cos\theta= 9$ $⇒16-16\cos^2\theta+25-25\sin^2\theta+40\sin\theta\cos\theta=9$ $⇒16\cos^2\theta+25\sin^2\theta-40\sin\theta\cos\theta=16+25-9$ $⇒(4\cos\theta)^2+(5\sin\theta)^2-2\times 5\sin\theta \times 4\cos\theta=32$ $⇒(4\cos\theta - 5\sin\theta)^2 = 32$ $⇒(4\cos\theta - 5\sin\theta) = \sqrt{32}=4\sqrt{2}$ Hence, the correct answer is $4\sqrt{2}$.
Question : The Constitution (Scheduled Castes and Scheduled Tribes) Orders (Second Amendment) Bill, 2022 applies to:
Option 1: Uttar Pradesh
Option 2: Madhya Pradesh
Option 3: Rajasthan
Option 4: Bihar
Correct Answer: Uttar Pradesh
Solution : The correct option is Uttar Pradesh.
On March 28, 2022, the Constitution (Scheduled Tribes and Scheduled Castes) Orders (Second Amendment) Bill, 2022, was presented to the Lok Sabha. The purpose of the bill is to modify the Constitution (Scheduled Castes) Order, 1950 (SC
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.
Fresh pineapple, chilled watermelon, and an icy cold soft drink on a hot summer's day. What do these things have in (1)_____? They all taste so good because of the sweetness the sugar in them provides. When you think of sugar, you probably picture the white (2)_____ you put in cookies, that your parents put in their coffee, or that you (3)_____ on your cereal. Actually, this is just one kind of sugar, called sucrose, which is (4)______ from sugar cane or sugar beets. Technically, sugar is a carbohydrate that occurs (5)_____ in every fruit and vegetable.
Select the most appropriate option to fill in the blank number (2).
Option 1: rubbles
Option 2: capsules
Option 3: stones
Option 4: granules
Correct Answer: granules
Solution : The correct answer is the fourth option.
When one thinks of sugar used in cookies, coffee, or cereal, it is commonly in the form of small, individual pieces or crystals. "Granules" refer to small, often microscopic particles or crystals, making it the most appropriate choice.
Question : In the isosceles triangle ABC with BC is the unequal side of the triangle, and line AD is the median drawn from the vertex A to the side BC. If the length AC = 5 cm and the length of the median is 4 cm, then find the length of BC (in (cm).
Option 1: 5
Option 2: 3
Option 3: 4
Option 4: 6
Correct Answer: 6
Solution : Given: $\Delta ABC$ is an isosceles triangle Hence, AB = AC = 5cm From Apollonius's theory, we get, ⇒ $5^2+5^2=2(4^2+DC^2)$ ⇒ $25+25=16+DC^2$ ⇒ $DC^2=9$ ⇒ $DC = 3\ \text{cm} $ Since D is the median point on the side BC. $\therefore BD = DC =
Question : Select the most appropriate synonym of the given word.
Quell
Option 1: Invite
Option 2: Beseech
Option 3: Encourage
Option 4: Suppress
Correct Answer: Suppress
Solution : The fourth option is the correct answer.
Quell means to suppress or subdue, typically in the context of suppressing a feeling, disturbance, or uprising. In this case, "suppress" aligns with the idea of quelling, as it involves restraining or putting an end to something.
The
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