Staff Selection Commission Combined Higher Secondary Level Exam
Question : The simplified form of $(x+3)^{2}+(x-1)^{2}$ is:
Option 1: $(x^{2}+2x+5)$
Option 2: $2(x^{2}+2x+5)$
Option 3: $(x^{2}-2x+5)$
Option 4: $2(x^{2}-2x+5)$
Correct Answer: $2(x^{2}+2x+5)$
Solution : $(x+3)^{2} = x^{2} + 6x + 9$ $(x-1)^{2} = x^{2} - 2x + 1$ Adding these two expressions together, we get, $(x+3)^{2}+(x-1)^{2}$ = $x^{2} + 6x + 9 + x^{2} - 2x + 1$ = $2x^{2} + 4x + 10 $ = $2(x^{2} + 2x
Question : Some parts of a few sentences have been jumbled up and labelled A, B, C, and D. Select the option that gives the correct sequence in which these parts can be rearranged to form a meaningful and grammatically correct sentence Our twelve years in the forest were A. Ram had lost, we would have to B. ending. Now, according to the wager C. discovered our whereabouts, we would have to endure another ten years in exile D. spend a year in hiding. If during this year Mohan
Option 1: BDCA
Option 2: CDBA
Option 3: BADC
Option 4: ACBD
Correct Answer: BADC
Solution : The correct answer is the third option.
Explanation:
The beginning of the passage is already fixed in the question.
Sentence "B" introduces a conditional clause explaining the consequences of a wager that Ram has lost. After "were," the 'v4' form of the verb is used.
Question : Directions: Select the related code from the given alternatives. ? : DDY :: BIG : CLL
Option 1: TAK
Option 2: CAT
Option 3: TAC
Option 4: TEF
Correct Answer: CAT
Solution : Given: ? : DDY :: BIG : CLL
Subtract the consecutive odd numbers from the letters of the second term to get the first term. Like, C – 1 = B; L – 3 = I; L – 5 = G Similarly, D – 1
Question : Choose the incorrectly spelt word.
Option 1: Morning
Option 2: Washing
Option 3: Calling
Option 4: Burnig
Correct Answer: Burnig
Solution : The incorrectly spelled word is the fourth option.
The correct spelling of the word, which means in a state of combustion is burning. "Burnig" contains a spelling error, as the letter "n" is missing.
Question : Directions: Which term from among the given options can replace the question mark (?) in the following series to make it logically complete? WG 12, UE 15, ?, QA 21, OY 24
Option 1: QC 19
Option 2: QD 17
Option 3: SC 18
Option 4: RD 19
Correct Answer: SC 18
Solution : Given: WG 12, UE 15, ?, QA 21, OY 24
For letter-based series – Subtract 2 from the positional value of the first letter and the second letter of the previous term of the given series. WG→W – 2 = U; G – 2
Question : The table below shows the percentage distribution of the total number of male faculties in six different schools. The number of males in any school is shown as the percentage of the total number of males in all these schools.
Total male faculties in all schools together = 8400 If the ratio of male faculties to female faculties in school A and school B is 2 : 5 and 4 : 3, then find the difference in total female faculties in school A and school B.
Option 1: 840
Option 2: 920
Option 3: 1500
Option 4: 760
Correct Answer: 840
Solution : Total male faculties in all schools together = 8400 Male faculties in school A = 10% of 8400 = 840 The ratio of male faculties to female faculties in school A = 2 : 5 Female faculties in school A = $\frac{840}{2}×5$ = 2100 Male
Question : Directions: Which of the following numbers will replace the question mark(?) in the given series? 25, 42, 61, 82, ?, 130
Option 1: 115
Option 2: 105
Option 3: 108
Option 4: 112
Correct Answer: 105
Solution : Given: 25, 42, 61, 82, ?, 130
In the above-given series, subtract consecutive odd numbers from the previous number to obtain the next number. 25 + 17 = 42; 42 + 19 = 61; 61 + 21 = 82; 82 + 23 = 105; 105
Question : Directions: What should come in place of (?) in the given series? 28, 31, 36, 39, 44, ?
Option 1: 49
Option 2: 51
Option 3: 48
Option 4: 47
Correct Answer: 47
Solution : Given: 28, 31, 36, 39, 44, ?
In the above-given series, add 3 and 5 alternatively to the numbers – 28 + 3 = 31; 31 + 5 = 36; 36 + 3 = 39; 39 + 5 = 44; 44 + 3 = 47
Question : Bailadila range of hills is famous for which of the following minerals?
Option 1: Iron ore
Option 2: Zinc
Option 3: Bauxite
Option 4: Manganese
Correct Answer: Iron ore
Solution : The correct option is Iron ore.
The Bailadila Hills are known for being one of the largest and highest-quality sources of iron ore in India. The region is estimated to contain vast reserves of high-grade iron ore. Situated in the southern part of
Question : Refer to the data table and answer the following question.
What was the revenue of the company if its Expenditure was Rs. 225 crore in the year when its % profit was the least?(in Rs. Crore)
Option 1: 270
Option 2: 247.5
Option 3: 292.5
Option 4: 225
Correct Answer: 247.5
Solution : The lowest percentage profit of the company was 10% in the year 2011. Let the expenditure as E and the revenue as R. The profit = R – E Given that the profit percentage is 10%. ⇒ R – E = E × $\frac{10}{100}$ ⇒
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