Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 19 – 364
Option 2: 21 – 444
Option 3: 17 – 292
Option 4: 13 – 174
Correct Answer: 13 – 174
Solution : Let's check each option – First option: (19 – 364); (19)2 + 3 = 361 + 3 = 364 Second option: (21 – 444); (21)2 + 3 = 441 + 3 = 444 Third option: (17 – 292); (17)2 +
Question : If $x+\frac{1}{x}=2$, then find the value of $x^{1823}+\frac{1}{x^{1929}}$.
Option 1: 2
Option 2: 1
Option 3: 0
Option 4: –1
Correct Answer: 2
Solution : According to the question, $x+\frac{1}{x}=2$ ⇒ $\frac{x^2+1}{x} = 2$ ⇒ $x^2+1=2x$ ⇒ $x^2-2x+1=0$ ⇒ $(x-1)^2=0$ ⇒ $x=1$ $\therefore x^{1823}+\frac{1}{x^{1929}} = 1+1 = 2$ Hence, the correct answer is 2.
Question : Which of the following is the correct order of Friction?
Option 1: Static > Rolling > Sliding
Option 2: Rolling > Static > Sliding
Option 3: Static > Sliding > Rolling
Option 4: Sliding > Static > Rolling
Correct Answer: Static > Sliding > Rolling
Solution : The correct answer is Static > Sliding > Rolling.
The correct order of a Frictional Force is static > sliding > rolling. Friction is the resistance offered by the surfaces in contact with each other when they move past each
Question : The volume of a solid sphere is $4500 \pi \;cm^3$. The surface area of the solid sphere is:
Option 1: $700 \pi\; \text{cm}^2$
Option 2: $850 \pi\; \text{cm}^2$
Option 3: $900 \pi\; \text{cm}^2$
Option 4: $810 \pi\; \text{cm}^2$
Correct Answer: $900 \pi\; \text{cm}^2$
Solution : Volume of a solid sphere = $4500 \pi$ cm$^3$ $⇒\frac{4}{3}×\pi×r^3$ = $4500 \pi$ cm$^3$ $⇒r^3$ = $\frac{4500×3}{4}$ = 3375 $\therefore r$ = 15 cm The Surface area of the solid sphere = $4\pi r^2$ = 4 × $\pi$ × 15$^2$ cm$^2$ = 900$
Question : Directions: If A stands for ÷, B stands for ×, C stands for + and D stands for –, what will come in place of the question mark (?) in the following equation? 23 C 13 B 841 A 29 D 91 = ?
Option 1: 329
Option 2: 319
Option 3: 289
Option 4: 309
Correct Answer: 309
Solution : Given: 23 C 13 B 841 A 29 D 91 = ?
After replacing the letters with the mathematical signs, the equation becomes – = 23 + 13 × 841 ÷ 29 – 91 = 23 + 13 × 29 – 91 = 23 +
Question : Direction: If TODAY is coded as UQECZ, how can BEFORE be coded?
Option 1: CCBHIG
Option 2: HIJQSG
Option 3: CGGQSG
Option 4: CPSSF
Correct Answer: CGGQSG
Solution : Given:
TODAY is coded as UQECZ
Here, T + 1 = U ; O + 2 = Q ; D + 1 = E ; A + 2 = C ; Y + 1 = Z
Similarly, BEFORE will be coded as:
B + 1
Question : The following sentence has been divided into four parts. One of them contains an error. Select the part that contains the error from the given options.
The English / often / fought / French.
Option 1: French
Option 2: often
Option 3: fought
Option 4: The English
Correct Answer: French
Solution : The correct choice is the first option.
Explanation: French represents the language of France, also used in parts of Belgium, Switzerland, and Canada, in several countries of northern and western Africa and the Caribbean, and elsewhere. whereas the French points to the people of
Question : If the radii of two circles are 7 cm and 4 cm and the length of the transverse common tangent is 13 cm, then the distance between the two centres is:
Option 1: $\sqrt{290}$ cm
Option 2: $\sqrt{190}$ cm
Option 3: $\sqrt{128}$ cm
Option 4: $\sqrt{240}$ cm
Correct Answer: $\sqrt{290}$ cm
Solution : Given, $r{_1}$ = 7 cm and $r{_2}$ = 4 cm The length of the transverse common tangent = 13 cm The length of a transverse common tangent $=\sqrt{d^2−(r{_1}+r{_2})^2}$ ⇒ $13=\sqrt{d^2−(7+4)^2}$ ⇒ $13^2=d^2-11^2$ ⇒ $169=d^2-121$ ⇒ $d^2=290$ ⇒ $d=\sqrt{290}$ cm Hence, the correct answer is
Question : Macroeconomics deals with which of the following studies? I. Reasons behind the unemployment of resources. II. Determination of total output.
Option 1: Only I
Option 2: Only II
Option 3: Neither I nor II
Option 4: Both I and II
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
I. The reason behind the unemployment of resources.
II. Determination of total output.
A branch of Economics known as macroeconomics studies the composition, dynamics and behaviour of the global economy.
It focuses on
Question : Rohita offers a discount of 20% on the marked price of an object. Due to the recession of the market, she further offers a discount of 30% on its sale. What is the equivalent single discount percentage corresponding to these two successive discount offers?
Option 1: 42%
Option 2: 56%
Option 3: 40%
Option 4: 44%
Correct Answer: 44%
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. Single Discount of 20% and 30% $=20 + 30 - \frac{20\times30}{100}$ $= 50 - 6$ $= 44$% Hence, the correct answer is 44%.
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