Staff Selection Commission Combined Higher Secondary Level Exam
Question : Sanjana can row a boat at 9 km/hr in the still water. It takes her twice as long to row up a certain distance as to row down the same distance in the river. What is the rate of the stream (in km/hr)?
Option 1: 4
Option 2: 1
Option 3: 3
Option 4: 2
Correct Answer: 3
Solution : Let the speed of the stream be $x$ km/hr. Speed of boat in still water = 9 km/hr Let the distance be $d$. According to the question, $2×\frac{d}{9+x}=\frac{d}{9-x}$ ⇒ $18-2x=9+x$ ⇒ $3x=9$ ⇒ $x=3$ km/hr Hence, the correct answer is 3.
Question : Refer to the following data table and answer the question.
Expenditure on raw materials and taxes is what percent of total expenses?
Option 1: 46 percent
Option 2: 44 percent
Option 3: 52 percent
Option 4: 50 percent
Correct Answer: 50 percent
Solution : From the table, The total yearly expense is the sum of all these expenses = 12 + 8 + 6 + 2 + 4 = 32 lakhs The combined expenditure on raw materials and taxes = 12 + 4 = 16 lakhs The expenditure
Question : How much of the world's surface is covered by water?
Option 1: 55%
Option 2: 70%
Option 3: 80%
Option 4: 25%
Correct Answer: 70%
Solution : The correct option is 70%.
Water constitutes 96.5% of the Earth's total volume, covering approximately 71% of its surface. Beyond oceans, water exists in various forms—rivers, lakes, icecaps, glaciers, and water vapour in the air. Glaciers are the largest source of fresh water. This
Question : Select the option that can be used as a one-word substitute for the underlined group of words.
'A Red, Red Rose' by Robert Burns is a poem that tells a story and has a regular rhythm and rhyme scheme.
Option 1: epic
Option 2: haiku
Option 3: ballad
Option 4: sonnet
Correct Answer: ballad
Solution : The third option is the correct answer.
A ballad is a narrative poem that tells a story, often with a regular rhythm and rhyme scheme. In the context of the sentence, the term ballad accurately captures the characteristics of the poem.
The meanings of the
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
The man with the shotgun (1)_____ the guard to his knees. He handed up the shotgun to his partner and yanked the guard's wrists up behind his back and locked (2)______ together with a pair of handcuffs. He (3)______ him onto the floor with a kick between the shoulder blades. Then he took his shotgun back and (4)_____ to the security gate at the end of the counter. He was short and heavy and moved with peculiar slowness. "Buzz him (5)_____," his partner said.
Question
Select the most appropriate option to fill in the blank No. 5.
Option 1: to
Option 2: on
Option 3: with
Option 4: in
Correct Answer: in
Solution : The fourth option is correct.
Buzz him in, in this context, refers to allowing or granting access to someone by buzzing or activating something, like an electronic security gate or door, to let the person inside.
Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following signs. In a certain code language, – represents ×, ÷ represents +, + represents ÷, and × represents –. Find out the answer to the following question. 15 – 6 + 10 × 3 ÷ 2 = ?
Option 1: 24
Option 2: 9
Option 3: 2
Option 4: 8
Correct Answer: 8
Solution : Given: 15 – 6 + 10 × 3 ÷ 2 = ?
After replacing the mathematical signs as per the directions in the question, the equation becomes – 15 × 6 ÷ 10 – 3 + 2 = ? = 15 × 0.6 – 3
Question : Select the appropriate ANTONYM of the underlined word to fill in the blank.
The flow of the river is very rapid now. Let's go in when it's a little_____________.
Option 1: fast
Option 2: quick
Option 3: delayed
Option 4: slow
Correct Answer: slow
Solution : The correct choice is the fourth option.
Explanation: The word "rapid" means fast or quick. Therefore, the opposite, or antonym, is a word that represents slowness. The word "slow" accurately conveys the opposite meaning of "rapid."
So, the correct sentence would be: "The flow of
Question : If $a^{2}+b^{2}+c^{2}-ab-bc-ca=0$, then
Option 1: $a=b=c$
Option 2: $a\neq b=c$
Option 3: $a=b\neq c$
Option 4: $a\neq b\neq c$
Correct Answer: $a=b=c$
Solution : Given: $a^{2}+b^{2}+c^{2}-ab-bc-ca=0$ Multiplying the whole equation by 2, $2a^{2}+2b^{2}+2c^{2}-2ab-2bc-2ca=0$ ⇒ $(a-b)^2+(b-c)^2+(c-a)^2=0$ ⇒ $(a-b)^2=(b-c)^2=(c-a)^2=0$ [If the sum of squares of three numbers is zero, then each number will also be zero] ⇒ $a=b=c$ Hence, the correct answer is $a=b=c$.
Question : Which of the following statement(s) is/are False? A) The impact of externality is always positive. B) Real national income means national income at constant prices.
Option 1: Only B
Option 2: Only A
Option 3: Neither A nor B
Option 4: Both A and B
Correct Answer: Only A
Solution : The correct option is Only A statement.
Both positive and negative externalities are possible. They come into being when one individual or thing's deeds impact another's life and welfare. An indicator of the purchasing power of the populace is the national income at constant
Question : Directions: What will come in place of the question mark (?) in the following equation if + and – are interchanged and × and ÷ are interchanged? 11 ÷ 4 + 8 × 2 – 1 = ?
Option 1: 41
Option 2: 40
Option 3: 39
Option 4: 43
Correct Answer: 41
Solution : Given: 11 ÷ 4 + 8 × 2 – 1 = ?
After interchanging + with – and × with ÷, the equation becomes – = 11 × 4 – 8 ÷ 2 + 1 = 11 × 4 – 4 + 1 = 44
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