Staff Selection Commission Combined Graduate Level Exam
Question : The core of the earth is also known as
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The correct answer is Barysphere.
Earth is divided into four categories based on its chemical composition: lithosphere, asthenosphere, mesosphere, and barysphere. The core or barysphere is the interior layer. It has a radius of 3476 kilometers and is made primarily of iron (Fe) and nickel (Ni).
Question : The rate at which RBI gives short-term loans to commercial banks is called:
Option 1: repo rate
Option 2: reverse repo rate
Option 3: bank rate
Option 4: cash reserve rate
Correct Answer: repo rate
Solution : The correct option is the repo rate.
The repo rate is the interest rate at which the Reserve Bank of India (RBI) offers short-term loans to commercial banks. The phrase repo means a repurchase agreement. It is a tool for monetary policy that
Question : The cube of 105 is:
Option 1: 1157625
Option 2: 1175625
Option 3: 1185625
Option 4: 115826
Correct Answer: 1157625
Solution : Here, (105)3 = (100 + 5)3 = 1003 + 53 + 3 × 100 × 5 × (100 + 5) [Using the formula (a + b)3 = a3 + b3 + 3ab(a + b)] = 1000000 + 125
Question : Choose the correct meaning of the given idiom. Turn over a new leaf.
Option 1: To begin again.
Option 2: To stop finally.
Option 3: To plant a tree.
Option 4: To take a break.
Correct Answer: To begin again.
Solution : The first option is the correct choice.
The given idiomatic expression, turn over a new leaf, is often used when someone decides to change his behaviour, habits, or attitude for the better, usually after a period of difficulty, mistakes, or negative behaviour.
It
Question : Select the most appropriate collocating word to fill in the blank.
Ram was praised for his __________ leadership.
Option 1: imaginary
Option 2: visionary
Option 3: magical
Option 4: broad
Correct Answer: visionary
Solution : The correct answer is the second option.
It means having the ability to think about or plan the future with imagination or wisdom. This word fits well in the context of praising leadership that is forward-thinking, innovative, and strategic.
The meanings of the other options
Question : By interchanging the digits of a two-digit number, we get a number that is four times the original number minus 24. If the unit's digit of the original number exceeds its ten's digit by 7, then the original number is:
Option 1: 29
Option 2: 36
Option 3: 58
Option 4: 18
Correct Answer: 29
Solution : Let the original number be (10P + Q) and its reversed number be (10Q + P). By interchanging the digits of a two-digit number, we get a number that is four times the original number minus 24. (10Q + P) = 4 × (10P +
Question : What is the difference of the factors of the expression $x^2+\frac{1}{x^2}-6$?
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 4
Correct Answer: 4
Solution : $x^2+\frac{1}{x^2}-6$ = $x^2+\frac{1}{x^2}-2-4$ = $x^2+\frac{1}{x^2}-2×x^2×\frac{1}{x^2}-(2)^2$ = $(x-\frac{1}{x}^2)-(2)^2$ = $(x-\frac{1}{x}+2)(x-\frac{1}{x}-2)$ These are the two factors. So, the difference between them is $(x-\frac{1}{x}+2-x+\frac{1}{x}+2)=4$ Hence, the correct answer is 4.
Question : The perimeter of two similar triangles ABC and PQR are 36 cm and 24 cm respectively. If PQ = 10 cm. then the length of AB is:
Option 1: 18 cm
Option 2: 12 cm
Option 3: 15 cm
Option 4: 30 cm
Correct Answer: 15 cm
Solution : Since the ratio of the corresponding sides of similar triangles is the same as the ratio of their perimeters. $\triangle{ABC} \sim\triangle{PQR}$ $\Rightarrow \mathrm{\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} = \frac{36}{24}}\\$ $\Rightarrow\mathrm{\frac{AB}{PQ} = \frac{36\;\mathrm{cm}}{24\;\mathrm{cm}}}\\$ $\Rightarrow \mathrm{\frac{AB}{10\;\mathrm{cm}} = \frac{36\;\mathrm{cm}}{24\;\mathrm{cm}}}\\$ $\Rightarrow \mathrm{AB = \frac{36\;\mathrm{cm} \times 10\;\mathrm{cm}}{24\;\mathrm{cm}} = 15\;\mathrm{cm}}$
Question : Direction: Which one of the given responses would be a meaningful order of the following?
(A) Ghee
(B) Milk
(C) Curd
(D) Cow
(E) Butter
Option 1: (E), (A), (B), (D), (C)
Option 2: (D), (B), (E), (C), (A)
Option 3: (D), (B), (C), (E), (A)
Option 4: (C), (B), (E), (D), (A)
Correct Answer: (D), (B), (C), (E), (A)
Solution : Given:
Question : Piyush sold a guitar to Anuj at a 16% gain and Anuj sold it to Mayank at a 32% gain. If Mayank paid Rs.3,828 for the guitar, what amount did Piyush pay for the same?
Option 1: Rs. 2,500
Option 2: Rs. 3,200
Option 3: Rs. 1,600
Option 4: Rs. 2,800
Correct Answer: Rs. 2,500
Solution :
Piyush sold a guitar to Anuj at a 16% gain and Anuj sold it to Mayank at a 32% gain. Mayank paid Rs. 3,828 for the guitar. Final percentage change after two successive increments of A% and B% = $(A+B+\frac{AB}{100})$% The net percentage profit
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