Staff Selection Commission Combined Higher Secondary Level Exam
Question : The average of 13 results is 70. If the average of the first seven is 65 and that of the last seven is 75, the seventh result is:
Option 1: 67
Option 2: 70
Option 3: 68
Option 4: 70.5
Correct Answer: 70
Solution : The average of 13 results = 70 The sum of all results = 13 × 70 = 910 The average of the first seven = 65, and the average of the last seven = 75 The sum of the first seven results = 7 ×
Question : Directions: Out of the given letter clusters, three are similar in a certain manner. However, one option is NOT like the other three. Select the option which is different from the rest.
Option 1: BDF
Option 2: UWY
Option 3: IKM
Option 4: PRS
Correct Answer: PRS
Solution : Let's check the options – First option: BDF; B + 2 = D; D + 2 = F Second option: UWY; U + 2 = W; W + 2 = Y Third option: IKM; I + 2 = K; K + 2 = M Fourth
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, mark 'No Error' as your answer.
A crocodile / was swimming / in a river.
Option 1: A crocodile
Option 2: was swimming
Option 3: No Error
Option 4: in a river
Correct Answer: No Error
Solution : The third option is the correct answer.
The given sentence is correct and there is No error. The sentence simply describes the action of a crocodile swimming in a river.
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
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