Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Find the missing numbers from the given responses.
Option 1: 109; 111; 117
Option 2: 114; 111; 117
Option 3: 111; 114; 117
Option 4: 117; 109; 111
Correct Answer: 111; 114; 117
Solution : Let the missing numbers in a table be a; b; c.
In a given table, the sum of all the numbers in a row and in a column is equal i.e. 342.
In the first row→113 + 118 + a = 342 ⇒
Question : Which state among the following has the largest reserves of gold ore in India as of 2021?
Option 1: Jharkhand
Option 2: Rajasthan
Option 3: Bihar
Option 4: Karnataka
Correct Answer: Bihar
Solution : The correct option is Bihar.
According to a survey conducted by the Geological Survey of India, the Jamui district in Bihar holds a significant gold reserve, totaling approximately 222.88 million metric tonnes, which includes 27.6 metric tonnes of mineral-rich ore. In terms of primary gold
Question : The Aryans succeeded in their conflicts with the pre - Aryans because
Option 1: they used elephants on a large scale
Option 2: they were taller and stronger
Option 3: they were from an advanced urban culture
Option 4: they used chariots driven by horses
Correct Answer: they used chariots driven by horses
Solution : The Correct Answer is they used chariots driven by horses
Because they had superior Bronze and Iron tools and ox- and horse-drawn carts with light spoked wheels, Aryans were more successful than pre-Aryans. In order to create a new civilization,
Question : A cuboidal water tank is 12 m long, 9 m wide and 7.5 m deep. How many litres of water can it hold?
Option 1: 840000
Option 2: 805000
Option 3: 780000
Option 4: 810000
Correct Answer: 810000
Solution : Given: Length = 12 m, Breadth = 9 m, Height = 7.5 m Volume of cube = Length × Breadth × Height ⇒ Volume of cube = 12 × 9 × 7.5 = 810 m3 The amount of water held by 1 m3
Question : If $x\cos \theta -y\sin \theta =\sqrt{x^{2}+y^{2}}$ and $\frac{\cos ^2{\theta }}{a^{2}}+\frac{\sin ^{2}\theta}{b^{2}}=\frac{1}{x^{2}+y^{2}},$ then the correct relation is:
Option 1: $\frac{x^{2}}{b^{2}}-\frac{y^{2}}{a^{2}}=1$
Option 2: $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$
Option 3: $\frac{x^{2}}{b^{2}}+\frac{y^{2}}{a^{2}}=1$
Option 4: $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$
Correct Answer: $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$
Solution : $x\cos \theta -y\sin \theta =\sqrt{x^{2}+y^{2}}$ ..................................(1) $\frac{\cos ^2{\theta }}{a^{2}}+\frac{\sin ^{2}\theta }{b^{2}}=\frac{1}{x^{2}+y^{2}}$ .......................................(2) From equation (1), $\frac{x\cos \theta}{\sqrt{x^{2}+y^{2}}} -\frac{y\sin \theta}{\sqrt{x^{2}+y^{2}}} =1$ Comparing with $\cos^2 \theta + \sin^2 \theta = 1$, we get, $\sin \theta = -\frac{y}{\sqrt{x^{2}+y^{2}}}$ and $\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$ Putting in (2), $\frac{x^2}{(x^2 +
Question : The area and the length of one of the diagonals of a rhombus are 84 cm2 and 7 cm respectively. Find the length of its other diagonal (in cm).
Option 1: 12
Option 2: 24
Option 3: 48
Option 4: 36
Correct Answer: 24
Solution : Given: Area = $84\ cm^2$ 1st diagonal = 7 cm 2nd diagonal = $D_2$ We know that Area of rhombus = $\frac{1}{2}\times$(Product of the diagonals) ⇒ $84 = \frac{1}{2}\times7\times D_2$ ⇒ $D_2 = 24\ cm$ Hence, the correct answer is 24.
Question : Identify the segment in the sentence which contains a grammatical error. If there is no error, then select the option "No error".
The London-based Brodsky / Quartet, meanwhile, is one of / the world's leading string quartet.
Option 1: The London-based Brodsky
Option 2: the world's leading string quartet.
Option 3: Quartet, meanwhile, is one of
Option 4: No error
Correct Answer: the world's leading string quartet.
Solution : The error lies in the second option.
The phrase "one of" should be followed by a plural noun to maintain the agreement in the sentence. Thus, string quartet should be replaced with string quartets to make the sentence grammatically accurate, as
Question : If the density of oxygen is 16 times that of hydrogen, what will be their corresponding ratio to the velocity of sound?
Option 1: 4:1
Option 2: 2:1
Option 3: 1:16
Option 4: 1:4
Correct Answer: 1:4
Solution : The correct option is 1:4.
If the density of oxygen is 16 times that of hydrogen, the ratio of their velocities of sound will be the same as the ratio of their densities
The velocity of sound from oxygen to hydrogen is 1:4.
v=√γP/ρ.
Question : A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, and C work together, then in how many days will they complete the work?
Option 1: 10 days
Option 2: 8 days
Option 3: 4 days
Option 4: 15 days
Correct Answer: 4 days
Solution : 1 day's work of A = $\frac{1}{9}$ 1 day's work of B = $\frac{1}{12}$ 1 day's work of A = $\frac{1}{18}$ 1 day's work of (A + B + C) $=\frac{1}{9}+\frac{1}{12}+\frac{1}{18}=\frac{4+3+2}{36}=\frac{9}{36}$ $\therefore$ So they can complete the whole work in $\frac{36}{9}$ = 4 days
Question : Who among the following received the OSCAR for the best actor in a leading role in 2022?
Option 1: Benedict Cumberbatch
Option 2: Andrew Garfield
Option 3: Denzel Washington
Option 4: Will Smith
Correct Answer: Will Smith
Solution : The correct answer is Will Smith.
On March 28, 2022, the 94th Academy Awards, also known as the Oscars, were announced. The best actor went to Will Smith for "King Richard.
Jessica Chastain, however, took home the Oscar for best actress for "The Eyes
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