Staff Selection Commission Combined Graduate Level Exam
Question : Select the most appropriate indirect form of the given sentence. Mary says, “My younger brother wants to be a radio jockey.”
Option 1: Mary says that her younger brother wants to be a radio jockey.
Option 2: Mary says that my younger brother wanted to be a radio jockey.
Option 3: Mary said that her younger brother wanted to be a radio jockey.
Option 4: Mary says that my younger brother wants to be a radio jockey.
Correct Answer: Mary says that her younger brother wants to be a radio jockey.
Solution : The correct choice is the first option.
The indirect form of a sentence involves reporting or paraphrasing what someone else said without using their exact words. It often involves a shift in tense, pronouns,
Question : Select the most appropriate option to fill in the blank.
In all her sorrow she must weep or she will ________.
Option 1: die
Option 2: laugh
Option 3: suffer
Option 4: cry
Correct Answer: suffer
Solution : The third option is correct.
Explanation: In the context of sorrow, the verb suffer is used to convey the emotional distress or pain associated with the feeling of sorrow. The use of suffer also captures the depth and intensity of emotional distress that can
Question :
Option 1: 14
Option 2: 64
Option 3: 48
Option 4: 41
Correct Answer: 41
Solution : Given: 876= 12, 864= 81, 895= 22, 824=?
Here,
In 876: 8+7+6= 21, reversing the digits= 12
In 864: 8+6+4= 18, reversing the digits= 81
In 895: 8+9+5= 22, reversing the digits= 22
Similarly, In 824: 8+2+4= 14, reversing the digits=
Question : An item costing Rs. 200 is being sold at a 10% loss. If the price is further reduced by 5%, the selling price will be:
Option 1: Rs. 170
Option 2: Rs. 171
Option 3: Rs. 175
Option 4: Rs. 179
Correct Answer: Rs. 171
Solution : Cost price = Rs. 200 Loss = 10% Reduction = 5% Selling price = 200×$\frac{90}{100}$×$\frac{95}{100}$ = Rs. 171 Hence, the correct answer is Rs. 171.
Question : Directions: By interchanging the given two signs and numbers which of the following equations will not be correct? ÷ and ×, 1 and 3
Option 1: 6 ÷ 3 – 1 + 4 × 2 = 5
Option 2: 4 × 3 – 1 + 8 ÷ 2 = 9
Option 3: 5 – 8 × 3 + 9 ÷ 1 = 24
Option 4: 6 + 4 – 9 × 3 ÷ 1 = –17
Correct Answer: 4 × 3 – 1 + 8 ÷ 2 = 9
Solution : Given: ÷ and ×, 1 and 3
Let's check the options – First option: 6 ÷ 3 – 1 + 4 × 2 = 5 On replacing the numbers and mathematical signs, the equation becomes
Question : Simplify: $x^9 \times x^5 \times x^{-4} \times x^0 \times x^{-6}$
Option 1: $x^4$
Option 2: $x^-4$
Option 3: $x^-6$
Option 4: $x^6$
Correct Answer: $x^4$
Solution : Given: $x^9 \times x^5 \times x^{-4} \times x^0 \times x^{-6}$ $=x^{9+5-4+0-6}$ $=x^{4}$ Hence, the correct answer is $x^{4}$.
Question : The Daocheng Yading Airport is located in
Option 1: Thailand
Option 2: Philippines
Option 3: China
Option 4: Tibet
Correct Answer: Tibet
Solution : The correct answer is Tibet.
Daocheng Yading Airport is in the county of Daocheng, Garzê Tibetan Autonomous Prefecture, Sichuan Province, China. It is situated in the southeastern section of Sichuan Province, close to the Tibetan border.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Pritha will been cooking the meal of your choice before you reach home.
Option 1: reach home.
Option 2: Pritha will been cooking
Option 3: the meal of your choice
Option 4: before you
Correct Answer: Pritha will been cooking
Solution : The correct choice is the second option.
"Pritha will been cooking" should be replaced with "Pritha will have cooked," indicating the use of the future perfect tense. The future perfect tense is used for those actions that will stand as complete by
Question : If $(x^2-2x+1)=0$, then the value of $x^4+\frac{1}{x^4}$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $(x^2-2x+1)=0$ ⇒ $x^2+1=2x$ Divide the given equation by $x$ on both sides, we get, ⇒ $x+\frac{1}{x}=2$ On squaring the above equation on both sides, we get, ⇒ $x^2+\frac{1}{x^2}+2=4$ ⇒ $x^2+\frac{1}{x^2}=2$ On squaring the above equation on both sides, we get, ⇒ $(x^2+\frac{1}{x^2})^2=2^2$ ⇒ $(x^4+\frac{1}{x^4})+2=4$
Question : If $\frac{8+2 \sqrt{3}}{3 \sqrt{3}+5}=a \sqrt{3}–b$, then the value of $a + b$ is equal to:
Option 1: 18
Option 2: 15
Option 3: 24
Option 4: 16
Correct Answer: 18
Solution : Given: $\frac{8+2 \sqrt{3}}{3 \sqrt{3}+5}=a \sqrt{3}–b$ Rationalize the given fraction, $\frac{(8+2 \sqrt{3})\times(3\sqrt3–5)}{(3 \sqrt{3}+5)\times (3\sqrt3–5)}=\frac{24\sqrt3–40+18–10\sqrt3}{27–25}$ ⇒ $\frac{14\sqrt3–22}{2}=7\sqrt3–11$ Now, compare the value with the given expression $a \sqrt{3}–b$, we get, $7\sqrt3–11=a \sqrt{3}–b$ ⇒ $a=7,b=11$ The value of $a + b=7+11=18$. Hence, the correct answer is 18.
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