Staff Selection Commission Combined Graduate Level Exam
Question : If $\frac{3}{(x+2)(2x+1)}=\frac{a}{2x+1}+\frac{b}{x+2}$ is an identity, the value of $b$ is:
Option 1: 0
Option 2: –1
Option 3: 2
Option 4: 3
Correct Answer: –1
Solution : Given: $\frac{3}{(x+2)(2x+1)}=\frac{a}{2x+1}+\frac{b}{x+2}$ $⇒\frac{3}{(x+2)(2x+1)}=\frac{a(x+2)+b(2x+1)}{(2x+1)(x+2)}$ $⇒3=a(x+2)+b(2x+1)$ To eliminate the term '$a$' we have to put $x = -2$, $⇒3=a(–2+2)+b(2×(–2)+1)$ $⇒3=–3b$ $⇒b=–1$ Hence, the correct answer is –1.
Question : Given below are four jumbled sentences. Select the option that gives their correct order, forming a meaningful and coherent paragraph. A. He had agreed to feed him, pay him twelve rupees a month, and find him somewhere to stay. B. A month's salary was paid in advance. C. Fotik had learned to handle his job quite well in the last five days. D. Upen Babu was a good man, which had helped a lot.
Option 1: ADBC
Option 2: CDAB
Option 3: CBDA
Option 4: DACB
Correct Answer: CDAB
Solution : The second option is the correct answer.
Sentence C seems to be an introductory statement, so it should come first in order. The next sentence is Sentence D, which speaks about Upen Babu, who had helped Fotik a lot. The third sentence should be
Question : Which state government launched the Mission Bhumiputra in August 2022?
Option 1: Nagaland
Option 2: Bihar
Option 3: Sikkim
Option 4: Assam
Correct Answer: Assam
Solution : The correct answer is Assam.
"Mission Bhumiputra" was inaugurated on August 1, 2022, by Dr. Himanta Biswa Sarma, the Chief Minister of Assam. Students will receive digitalised caste certificates as part of the mission in an easy-to-use digital format.
Question : Sita sold a whiteboard marker set at 10% profit. On selling it for Rs. 20 more, she would have earned a profit of 15%. What is the cost price of the whiteboard marker set?
Option 1: Rs. 300
Option 2: Rs. 350
Option 3: Rs. 450
Option 4: Rs. 400
Correct Answer: Rs. 400
Solution : Given: Sita sold a whiteboard marker set at 10% profit. Also, selling price with 15% profit - selling price with 10 % profit = Rs. 20 Let the Cost Price of the whiteboard marker be Rs. $x$. Since, the selling price with 15% profit
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 57, 69, 88, 112, 150, 186, 243, ?
Option 1: 286
Option 2: 289
Option 3:
291
Option 4: 300
Correct Answer:
Solution : Given: 57, 69, 88, 112, 150, 186, 243, ?
The pattern followed is –
So, 291 is the missing term. Hence, the third option is correct.
Question : Directions: From the given option figures, select the one in which the question figure is embedded.
Option 1:
Option 2:
Option 4:
Solution : As there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in the given option figures. The question figure is embedded only in the second option figure.
Hence, the second option is correct.
Question : Direction: Anil is as much younger than Vivek as he is older than Tarun. If the total of the ages of Vivek and Tarun is 48 years, how old is Anil?
Option 1: 26
Option 2: 33
Option 3: 24
Option 4: 18
Correct Answer: 24
Solution : Anil is as much younger than Vivek as he is older than Tarun.
⇒ (Vivek's age) – (Anil's age) = (Anil's age) – (Tarun's age)
⇒ (Vivek's age) + (Tarun's age) = 2 x (Anil's age)
The total of the ages of Vivek and Tarun
Question : Before the rise of the modern industrial system, Indian exports consisted chiefly of manufactures like________.
Option 1: electricals
Option 2: chemicals
Option 3: light machinery
Option 4: cotton and silk fabrics
Correct Answer: cotton and silk fabrics
Solution : The correct answer is cotton and silk fabrics.
Before the dawn of machine industries, Indian silk and cotton items dominated the international textile market. Cotton of various coarsenesses was grown in numerous nations, but the finer types were frequently imported from
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 361
Option 2: 441
Option 3: 784
Option 4: 876
Correct Answer: 876
Solution : Let's check the options – First option: 361; 361 = (19)2 Second option: 441; 441 = (21)2 Third option: 784; 784 = (28)2 Fourth option: 876 is not a square of any number.
The fourth option does not follow the pattern.
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Time : Second :: Electric Current : ?
Option 1: Ampere
Option 2: Kelvin
Option 3: Candela
Option 4: Mole
Correct Answer: Ampere
Solution : Given: Time : Second :: Electric Current : ?
Like, the SI unit of time is seconds. Similarly, the SI unit of electric current is ampere.
Hence, the first option is correct.
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