Staff Selection Commission Combined Higher Secondary Level Exam
Question : What is the expansion of $\left(1-\frac{1}{p}\right)^2$?
Option 1: $1+\frac{2}{p}-\frac{1}{p^2}$
Option 2: $1-\frac{2}{p}+\frac{1}{p^2}$
Option 3: $1-\frac{2}{p}-\frac{1}{p^2}$
Option 4: $1+\frac{2}{p}+\frac{1}{p^2}$
Correct Answer: $1-\frac{2}{p}+\frac{1}{p^2}$
Solution : $(1 - \frac{1}{p})^2 = 1 + \frac{1}{p^2} - \frac{2}{p}$ Hence, the correct answer is $1-\frac{2}{p}+\frac{1}{p^2}$.
Question : Select the most appropriate meaning of the given idiom.
New kid on the block.
Option 1: Nonsense or meaningless speech.
Option 2: Savings set aside for future use.
Option 3: Don't hurt anyone that helps you.
Option 4: Someone new to the group or area.
Correct Answer: Someone new to the group or area.
Solution : The correct choice is the fourth option.
Explanation:
The idiom, new kid on the block is a figurative expression that refers to someone or something recently introduced or arrived in a particular group, community, or area.
It is commonly
Question : Directions: Select the related letter cluster from the given alternatives. SNAKE : VQDNH :: CRADLE : ?
Option 1: FUDGOH
Option 2: FVDGPH
Option 3: EUDGOH
Option 4: EVFGOF
Correct Answer: FUDGOH
Solution : Given: SNAKE : VQDNH :: CRADLE : ?
Add 3 to the place value of each letter of SNAKE to obtain the required code – S + 3 = V; N + 3 = Q; A + 3 = D; K + 3 = N;
Question : The sum of the present ages of a father and his son is 94 years. 8 years ago their respective ages were in the ratio of 2 : 1. After 10 years what will be the ratio of ages of father and son?
Option 1: 35 : 22
Option 2: 14 : 13
Option 3: 25 : 18
Option 4: 16 : 15
Correct Answer: 35 : 22
Solution : Let the present age of the father be $x$ and the present age of the son be $y$. Given: $x + y = 94$.................(1) 8 yrs ago, $\frac{x-8}{y-8}=\frac{2}{1}$ ⇒ $x-8=2y-16$ ⇒ $x-2y=-8$................(2) Subtracting equation (2) from equation (1), we get: $3y=102$ ⇒ $y=34$
Question : The marked price of the book is INR 250 and it was sold at a discount of 12%. The selling price of the book is:
Option 1: INR 230
Option 2: INR 234
Option 3: INR 220
Option 4: INR 225
Correct Answer: INR 220
Solution : Given: Marked price = INR 250 Discount % = 12% So, $12 = \frac{\text{Discount}}{250}\times 100$ ⇒ $\text{Discount} = \frac{12\times250}{100}=30$ $\therefore$ Selling price = Marked price – Discount = 250 – 30 = 220 Hence, the correct answer is INR 220.
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence. P. due to the lofty hilly terrain, curves and cliffs Q. the route to Badrinath R. is one of the most arduous one S. amidst the most scenically beautiful place on the earth
Option 1: QRPS
Option 2: QSPR
Option 3: PRSQ
Option 4: PQRS
Correct Answer: QRPS
Solution : The correct option is the first option.
The logical flow of information should be as follows: Q. The route to Badrinath R. is one of the most arduous ones P. due to the lofty hilly terrain, curves, and cliffs S. amidst the most scenically beautiful
Question : Akka can bake 100 cakes in 20 hours. Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?
Option 1: 25
Option 2: 50
Option 3: 30
Option 4: 75
Correct Answer: 50
Solution : Akka can bake 100 cakes in 20 hours. $\therefore$ Cakes baked by Akka in 1 hour = $\frac{100}{20}$ = 5 Akka and Tai together can bake 75 cakes in 10 hours. $\therefore$ Cakes baked by Akka and Tai in 1 hour = $\frac{75}{10}$ = 7.5
Question : Who among the following authors wrote "The Living Mountain"?
Option 1: Amitav Ghosh
Option 2: Nitin Gokhale
Option 3: Anindya Dutta
Option 4: Kabir Bed
Correct Answer: Amitav Ghosh
Solution : The correct option is Amitav Ghosh.
The author of "The Living Mountain: A Fable of Our Times" is Amitav Ghosh. He is a renowned Indian author known for his fiction and non-fiction works that explore themes of environmentalism, colonialism, and globalisation. Amitav Ghosh
Question : Which of the following is the only volcanic peak in Antarctica?
Option 1: Mt. Blanc
Option 2: Mt. Erebus
Option 3: Mt. Elbrus
Option 4: Mt. Cook
Correct Answer: Mt. Erebus
Solution : The correct option is Mt. Erebus.
The southernmost active volcano on Earth, Mt. Erebus, is the second-highest volcano in Antarctica and the highest active volcano. It is situated on Ross Island, which is also the location of Mount Terra Nova, Mount Terror and
Question : Directions: In the following question, select the missing number from the given series. 46, 51, 76, 201, 826, ?
Option 1: 3757
Option 2: 3951
Option 3: 4853
Option 4: 3631
Correct Answer: 3951
Solution : Given: 46, 51, 76, 201, 826, ?
The pattern is as follows. 46 + 51 = 51 51 + 52 = 51 + 25 = 76 76 + 53 = 76 + 125 = 201 201 + 54 = 201 +
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