Staff Selection Commission Combined Higher Secondary Level Exam
Question : The sides of similar triangle $\triangle ABC$ and $\triangle DEF$ are in the ratio of $\frac{\sqrt{3}}{\sqrt{5}}$. If the area of $\triangle ABC$ is $90 \text{ cm}^2$, then the area of $\triangle DFF\left(\right.$ in $\left.\text{cm}^2\right)$ is:
Option 1: 150
Option 2: 152
Option 3: 154
Option 4: 156
Correct Answer: 150
Solution : Ratio of their sides = $\frac{\sqrt3}{\sqrt5}$ $\therefore$ Ratio of their areas = $(\frac{\sqrt3}{\sqrt5})^2 = \frac{3}{5}$ Given the area of $\triangle ABC$ = $90\text{ cm}^2$ $\therefore$ Area of $\triangle DEF=90\times \frac{5}{3} = 150\text{ cm}^2$ Hence, the correct answer is 150.
Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series to make it logically complete? MY 27, KZ 64, ?, GB 216, EC 343
Option 1: JB 81
Option 2: JA 81
Option 3: IA 125
Option 4: HB 100
Correct Answer: IA 125
Solution : Given: MY 27, KZ 64, ?, GB 216, EC 343
In the above-given series, subtract 2 from the place value of the first letter, add 1 to the place value of the second letter, and the numbers are the cube of consecutive numbers. MY
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
They weren't allows to take their dog into the store.
Option 1: allowed to took
Option 2: No improvement
Option 3: allow to take
Option 4: allowed to take
Correct Answer: allowed to take
Solution : The correct answer is the fourth option.
Explanation:
The past participle form of the verb should be used after the helping verb "weren't", as the sentence is expressed in the passive voice. Thus, in place of "allows" the correct verb form that
Question : Which of the following is a feature of the Indian Constitution?
Option 1: Lengthiest written constitution
Option 2: Rigid constitution
Option 3: Presidential form of government
Option 4: Dual citizenship
Correct Answer: Lengthiest written constitution
Solution : The correct answer is the Lengthiest written constitution.
The government and the people are required to abide by a few fundamental laws. A constitution is made up of all these regulations. The constitution, which is the ultimate law of the land, establishes citizen
Question : Bangkok is the capital city of:
Option 1: Iraq
Option 2: Thailand
Option 3: China
Option 4: Russia
Correct Answer: Thailand
Solution : The correct answer is Thailand.
Bangkok is the capital city of Thailand. It is located in the delta of the Chao Phraya River. Thailand has a monarchical system of government. Bangkok is a dynamic, and cosmopolitan city, blending traditional Thai charm with modern skyscrapers,
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. This boy / is cleverest / of all / in the class.
Option 1: in the class
Option 2: This boy
Option 3: is cleverest
Option 4: of all
Correct Answer: is cleverest
Solution : The correct choice is the third option.
The correct form should be "is the cleverest". When expressing the superlative degree, we need to use the definite article "the" before the superlative adjective.
Therefore, the correct sentence would be: "This boy
Question : Evaluate $\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, given that $\sqrt{6}=2.45$.
Option 1: 7.7
Option 2: 9.9
Option 3: 8.8
Option 4: 6.6
Correct Answer: 9.9
Solution : $\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ Rationalizing the denominator, = $\frac{(\sqrt{3}+\sqrt{2})^2}{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})}$ = $\frac{(3+2+2\sqrt{6})}{(3-2)}$ = $5+2\sqrt6$ = 5 + (2 × 2.45) = 5 + 4.9 = 9.9 Hence, the correct answer is 9.9.
Question : Ram covers a distance in 8 hours and Mohan covers the same distance in 4 hours. If the speed of Mohan is 10 km/hr more than Ram, then which of the following statements is/are correct? I. The speed of Mohan is 20 km/hr. II. Sum of their speed is 30 km/hr.
Option 1: Neither I nor II
Option 2: Both I and II
Option 3: Only II
Option 4: Only I
Correct Answer: Both I and II
Solution : Let the speed of Ram be $x$ km/hr ⇒ Speed of Mohan = $(x+10)$ km/hr Distance covered by Ram in 8 hours $= x × 8 = 8x$ km Distance covered by Mohan in 4 hours $= (x + 10) × 4
Question : Directions: Select the letter cluster from among the given options that can replace the question mark (?) in the following series. IBTW, JCSV, ?, LEQT
Option 1: JCCS
Option 2: IBWP
Option 3: KDTW
Option 4: KDRU
Correct Answer: KDRU
Solution : Given: IBTW, JCSV, ?, LEQT
Here, add 1 to the place value of the first two letters and subtract 1 from the place value of the last two letters to get the next term of the series – IBTW: I + 1 = J; B
Question : Which of the field in which Ustad Bismillah Khan has distinguished himself ?
Option 1: Sitar.
Option 2: Guitar .
Option 3: Shehnai.
Option 4: Hindustani (Classical - Vocal).
Correct Answer: Shehnai.
Solution : The correct option is - shehnai
Ustad Bismillah Khan was a highly distinguished and renowned Indian musician who excelled in the field of classical music, specifically in the art of playing the shehnai. He is considered one of the greatest shehnai players in the world
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