Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $a+\frac{1}{a}=5$, then determine the value of $a^3+\frac{1}{a^3}$.
Option 1: 90
Option 2: 125
Option 3: 105
Option 4: 110
Correct Answer: 110
Solution : $a+\frac{1}{a}=5$ $⇒(a+\frac{1}{a})^3=5^3$ $⇒a^3+\frac{1}{a^3}+3×a×\frac{1}{a}(a+\frac{1}{a}) = 125$ $⇒a^3+\frac{1}{a^3} = 125 - (3×5) = 125 - 15 = 110$ Hence, the correct answer is 110.
Question : Directions: Sameer is younger than Meera. Prayas is older than Sameer but younger than Sakshi. Who is the eldest of the four?
Option 1: Meera
Option 2: Prayas
Option 3: Sameer
Option 4: Meera or Sakshi
Correct Answer: Meera or Sakshi
Solution : Given: (I) Sameer is younger than Meera. Meera > Sameer (II) Prayas is older than Sameer but younger than Sakshi. After combining all the statements the arrangement is as follows – Meera/Sakshi > Prayas > Sameer
So, either Meera or Sakshi is the
Question : Select the most appropriate 'one word' for the expression given below. One who is against religion.
Option 1: Poacher
Option 2: Lunatic
Option 3: Bandit
Option 4: Heretic
Correct Answer: Heretic
Solution : The correct choice is the fourth option.
Heretic is the most appropriate word for someone who is against religion. A heretic is a person who holds beliefs that go against the established doctrines or teachings of a particular religious system.
The meanings of the remaining
Question : Which city in India is known as the 'Detroit of India' due to its automobile industry?
Option 1: Chennai
Option 2: Mumbai
Option 3: Bengaluru
Option 4: Pune
Correct Answer: Chennai
Solution : The correct answer is Chennai.
Chennai, also known as Madras, is often referred to as the 'Detroit of India' due to its significant automobile industry. The city is a hub for the automotive sector in India, with numerous automobile manufacturers and related industries operating in
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. B can be represented by 00, 23, etc, and P can be represented by 56, 65, etc. Similarly, you have to identify the set for the word DEBRIS.
Option 1: 40, 95, 14, 59, 30, 69
Option 2: 22, 59, 42, 59, 34, 69
Option 3: 40, 95, 14, 58, 34, 69
Option 4: 22, 95, 59, 30,14, 69
Correct Answer: 40, 95, 14, 58, 34, 69
Solution : Given: DEBRIS
Number representations of each letter – D→04, 13, 22, 31, 40 E→59, 68, 77, 86, 95 B→00, 14, 23, 32, 41 R→58, 67, 76, 85, 99 I→02, 11, 20, 34, 43 S→55, 69, 78, 87, 96
First option:
Question : The dome of a residential tower is in the form of a hemisphere with a radius of 560 cm. Find the cost of painting it at the rate of Rs. 25 per m2. (Take $\pi=\frac{22}{7}$)
Option 1: Rs. 4928
Option 2: Rs. 4982
Option 3: Rs. 4298
Option 4: Rs. 4289
Correct Answer: Rs. 4928
Solution : Radius of dome (hemispherical) = 560 cm = 5.6 m $\therefore$ Area of curved surface $= 2\pi r^{2} = 2\times \frac{22}{7} \times 5.6\times 5.6$ m$^{2} = 197.12 $ m$^{2}$ Rate of painting = Rs. 25 per sq.m So, the total cost = 197.12 ×
Question : What was the Reserve Bank of India's (RBI) deadline to exchange pre-2005 currency notes of Rs. 500 and Rs. 1,000 as announced in 2015?
Option 1: January 1, 2015
Option 2: December 31, 2015
Option 3: April 1, 2015
Option 4: March 31, 2015
Correct Answer: January 1, 2015
Solution : The correct option is January 1, 2015.
The Reserve Bank of India (RBI) had set a deadline of January 1, 2015, for the exchange of pre-2005 currency notes of Rs. 500 and Rs. 1000 denominations, but later it was extended to June
Question : The largest producer of Lignite in India is:
Option 1: Kerala
Option 2: Tamil Nadu
Option 3: Rajasthan
Option 4: Gujarat
Correct Answer: Tamil Nadu
Solution : The correct answer is Tamil Nadu.
Lignite is the lowest-grade ore of coal. It is also known as Brown Coal and has the lowest concentration of carbon in it. In India, Tamil Nadu is the largest Lignite-producing state. It is also found in
Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=5 \mathrm{x}-60^{\circ}, \angle \mathrm{B}=2 \mathrm{x}+40^{\circ}, \angle \mathrm{C}=3 \mathrm{x}-80^{\circ}$. Find $\angle \mathrm{A}$.
Option 1: $75^{\circ}$
Option 2: $90^{\circ}$
Option 3: $80^{\circ}$
Option 4: $60^{\circ}$
Correct Answer: $80^{\circ}$
Solution : Given: In $\triangle \mathrm{ABC}, \angle \mathrm{A}=5 \mathrm{x}-60^{\circ}, \angle \mathrm{B}=2 \mathrm{x}+40^{\circ}, \angle \mathrm{C}=3 \mathrm{x}-80^{\circ}$. We know, the sum of the three angles of a triangle is $180^{\circ}$. According to the question, $5x-60^{\circ}+2x+40^{\circ}+3x-80^{\circ}=180^{\circ}$ $⇒10x=180^{\circ}+100^{\circ}$ $⇒x=\frac{280^{\circ}}{10}$ $\therefore x=28^{\circ}$ Now, $\angle \mathrm{A}$= $(5×28^{\circ})-60^{\circ} = 140^{\circ}-60^{\circ} = 80^{\circ}$ Hence, the
Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in
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