Staff Selection Commission Combined Graduate Level Exam
Question : Let $p, q, r$ and $s$ be positive natural numbers having three exact factors including 1 and the number itself. If $q>p$ and both are two-digit numbers, and $r>s$ and both are one-digit numbers, then the value of the expression $\frac{p-q-1}{r-s}$ is:
Option 1: – s –1
Option 2: s – 1
Option 3: 1 – s
Option 4: s + 1
Correct Answer: – s –1
Solution : Given: $q > p$ and both are two-digit numbers So, possible values = $5^2$ and $7^2$ According to the concept, $p = 5^2 = 25$ [Factors = 1, 5, 25] $q = 7^2 = 49$ [Factors = 1, 7, 49] Here, $r >
Question : Directions: Select the related letter cluster from the given alternatives. ACXZ : BDWY :: CEVX : ?
Option 1: DFUZ
Option 2: DFUW
Option 3: DGUW
Option 4: DFUV
Correct Answer: DFUW
Solution : Given: ACXZ : BDWY :: CEVX : ?
Here, add 1 to the place value of the first and second letters and subtract 1 from the place value of the third and fourth letters of the given letter cluster. Like, ACXZ : BDWY – A
Question : Select the most appropriate direct form of the given sentence. Taru asked Kavya if she would help her in setting up her new dressing table
Option 1: Taru said to Kavya, “Will you help me in setting up her new dressing table?”
Option 2: Taru said to Kavya, “Will you help me in setting up my new dressing table?”
Option 3: Taru said to Kavya, “How would you help me in setting up my new dressing table?”
Option 4: Taru said to Kavya, “Would you help her in setting up my new dressing table?”
Correct Answer: Taru said to Kavya, “Will you help me in setting up my new dressing table?”
Solution : The second option is correct.
Explanation: Direct speech, also known as quoted speech or direct discourse, refers to the representation of someone's words or statements exactly as they were spoken. Narration
Question : Directions: Three positions of a cube are shown below:
What will come on the two faces marked 1 and 2?
Option 1: θ and δ
Option 2: α and β
Option 3: θ and β
Option 4: θ and γ
Correct Answer: α and β
Solution : Taking dice positions 1 and 3 with α as the common face. So, on moving in the clockwise direction from α, the following opposite pairs of faces will be formed –
As per the properties of the dice, the opposite faces of a
Question : If $x^2-\frac{1}{x^2}=4 \sqrt{2}$, what is the value of $x^4-\frac{1}{x^4}?$
Option 1: $16 \sqrt{2}$
Option 2: $8\sqrt{2}$
Option 3: $24 \sqrt{2}$
Option 4: $32 \sqrt{2}$
Correct Answer: $24 \sqrt{2}$
Solution : $x^2-\frac{1}{x^2}=4 \sqrt{2}$ Squaring both sides, we get $x^4+\frac{1}{x^4}-2=32$ ⇒ $x^4+\frac{1}{x^4}=34$ Adding 2 on both sides, we get $x^4+\frac{1}{x^4}+2=36$ ⇒ ($x^2+\frac{1}{x^2})^2 =6^2$ ⇒ $x^2+\frac{1}{x^2}=6$ Now, $x^4-\frac{1}{x^4} = (x^2-\frac{1}{x^2} )(x^2+\frac{1}{x^2})$ $= 4 \sqrt{2}\times 6 =24\sqrt{2}$ Hence, the correct answer is $24\sqrt{2}$.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. A great fire (1)______ in London in 1666, which (2)____ the city and made around 1,00,000 people homeless. This fire is said to have begun in a pudding lane. It (3)____ through the crowded streets and wooden houses. However, after the fire, London was (4)___ with wider streets and improved water supplies. New buildings were (5)___ using bricks instead of wood. Question: Select the most appropriate option to fill in the blank no. 2.
Option 1: destroyed
Option 2: smashed
Option 3: shattered
Option 4: demolished
Correct Answer: destroyed
Solution : The correct choice is the first option.
Explanation: Destroyed is the most suitable word to convey the impact of the fire on the city. It means to cause severe damage or ruin something completely. The meanings of the other options are as follows:
Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively? + and ×, 5 and 4 I. 4 + 6 × 5 – 7 ÷ 1 II. 5 × 3 – 4 + 8 ÷ 2
Option 1: –9, –8
Option 2: 30, –13
Option 3: 20, 6
Option 4: 27, –13
Correct Answer: 27, –13
Solution : Given: I. 4 + 6 × 5 – 7 ÷ 1 II. 5 × 3 – 4 + 8 ÷ 2
After interchanging the numbers and signs in the given equations, the equations become – I. 5 × 6 + 4 – 7 ÷
Question : Who was the first Viceroy of India?
Option 1: Lord Canning
Option 2: Lord Curzon
Option 3: Lord Wavell
Option 4: Lord Mountbatten
Correct Answer: Lord Canning
Solution : The correct option is Lord Canning.
Lord Canning was a British diplomat who held the positions of Governor-General and first Viceroy of India during the 1857 Indian uprising and when the East India Company's power was transferred to Queen Victoria's throne in 1858
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. Rita promised to come but she never turned_____.
Option 1: in
Option 2: out
Option 3: down
Option 4: up
Correct Answer: up
Solution : The fourth option is the correct answer.
Turn in: Submit or hand over, typically referring to assignments or reports.
Turn out: Produce, assemble, or attend an event.
Turn down: Reject or refuse an offer or request.
Turn up: Appear or arrive, often unexpectedly.
Therefore, the
Question : Directions: Which of the following interchange of numbers and mathematical signs would make the given equation correct? 72 ÷ 8 × 9 − 36 + 20 = 80
Option 1: 20 and 80, × and +
Option 2: 9 and 36, × and ÷
Option 3: 36 and 72, ÷ and −
Option 4: 8 and 9, + and −
Correct Answer: 8 and 9, + and −
Solution : Given: 72 ÷ 8 × 9 − 36 + 20 = 80
Let's check the given options – First option: 20 and 80, × and + On interchanging the signs and numbers, we get – ⇒ 72 ÷ 8 +
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