Staff Selection Commission Combined Graduate Level Exam
Question : Find the HCF of 238 and 832.
Option 1: 16
Option 2: 8
Option 3: 2
Option 4: 14
Correct Answer: 2
Solution : Here, we have to find the H.C.F of 238 and 832 238 = 2 × 7 × 17 832 = 26 × 13 Common factor of 238 and 832 is 2 Hence, the H.C.F of 238 and 832 are 2. Hence, the correct answer is 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.
The child is the father of the man. Childhood is a (1)______ of what one is going to be when one (2)______ maturity. The natural instincts of a man are (3)______ in his childhood. Time modifies them but cannot (4)______ them. History contains numerous examples of great men who gave (5)______ of their future when they were children. A child’s mind is (6)______ and flexible. The mould he receives before his clay (7)______ becomes his permanent mark. The values and standards of (8)______ which will determine his life as a man (9)______ in childhood itself. There may be certain (10)______ of course. A bright morning may end in a storm!
Question:
Select the most appropriate option to fill in the blank no. 2
Option 1: secures
Option 2: completes
Option 3: scores
Option 4: attains
Correct Answer: attains
Solution : The correct choice is the fourth option.
The word attains means success in achieving something that one has worked for. It helps convey the intended meaning that childhood is the main factor of what one might become when that person achieves maturity.
Question : If $p+q=6$ and $pq=4$, then what is the value of $3(p^3+q^3)$?
Option 1: 512
Option 2: 144
Option 3: 288
Option 4: 432
Correct Answer: 432
Solution : Given, $p+q=6$ and $pq=4$ Cubing both sides, we get ⇒ $p^3+q^3+3pq(p+q)=216$ Substituting the values, we get ⇒ $p^3+q^3+3\times4(6)=216$ ⇒ $p^3+q^3=144$ ⇒ $3(p^3+q^3)=432$ Hence, the correct answer is 432.
Question : Which Grand Slam tournament was played between 17 to 30 January 2022?
Option 1: French Open
Option 2: Wimbledon open
Option 3: Australian Open
Option 4: US Open
Correct Answer: Australian Open
Solution : The correct option is the Australian Open.
The Australian Open takes place between 17 to 30 January 2022. It is the 110th edition of the event. Kia, a South Korean multinational automobile manufacturer, sponsored the tournament. The men's singles title was won by Rafael Nadal.
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is 4.
It is much too important to be made a joke of.
(1) too much important
(2) too many important
(3) very much important
(4) No improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option since the sentence is grammatically accurate and doesn't need any change. The sentence conveys the idea that the particular matter is of great significance and should not be treated lightly. Much too is an adverb that specifically explains the quality of the adjective.
Question : If $\frac{4\left[(17)^3-(7)^3\right]}{\left(17^2+7^2+p\right)}=40$, then what is the value of $p$?
Option 1: –119
Option 2: –129
Option 3: 119
Option 4: 129
Correct Answer: 119
Solution : $\frac{4\left[(17)^3-(7)^3\right]}{\left(17^2+7^2+p\right)}=40$ We know that, $(a^3-b^3)=(a-b)(a^2+ab+b^2)$ ⇒ $\frac{\left(17-7)\right(17^2+17\times 7+7^2)}{\left(17^2+7^2+p\right)}=10$ ⇒ $\frac{10(17^2+17\times 7+7^2)}{\left(17^2+7^2+p\right)}=10$ ⇒ $\frac{(17^2+17\times 7+7^2)}{\left(17^2+7^2+p\right)}=1$ ⇒ $17^2+17\times 7+7^2=17^2+7^2+p$ $\therefore p=17\times7=119$ Hence, the correct answer is 119.
Question : Masai is a tribe of which of the following country ?
Option 1: Kenya
Option 2: Germany
Option 3: Australia
Option 4: India
Correct Answer: Kenya
Solution : The correct answer is Kenya.
Masai tribe is an ethnic group found in Kenya and northern Tanzania. They inhabit the regions of Lake Turkana and nearby areas of Lower Nile river. The Maasai are worldwide recognized for their particular culture, celebrations, 'high jumping dance,' custom dress, and brave warriors.
Question : Directions: If A denotes +, B denotes –, C denotes × and D denotes ÷, then which of the following equations is true?
Option 1: 8 B 6 D 2 A 4 C 3 = 15
Option 2: 8 A 8 B 8 C 8 = – 48
Option 3: 9 C 9 B 9 D 9 A 9 = 17
Option 4: 3 A 3 B 3 C 3 A 3 D 3 = 4
Correct Answer: 8 A 8 B 8 C 8 = – 48
Solution : Let's check the options – First option: 8 B 6 D 2 A 4 C 3 = 15 On replacing the letters with mathematical signs, we get – 8 – 6 ÷ 2 + 4 × 3 = 15 On solving the L.H.S. of the equation, we get – = 8 – 6 ÷ 2 + 4 × 3 = 8 – 3 + 4 × 3 = 8 – 3 + 12 = 17 ≠ 15 Second option: 8 A 8 B 8 C 8 = – 48 On replacing the letters with mathematical signs, we get – 8 + 8 – 8 × 8 = – 48 On solving the L.H.S. of the equation, we get – = 8 + 8 – 8 × 8 = 8 + 8 – 64 = – 48 Third option: 9 C 9 B 9 D 9 A 9 = 17 On replacing the letters with mathematical signs, we get – 9 × 9 – 9 ÷ 9 + 9 = 17 On solving the L.H.S. of the equation, we get – = 9 × 9 – 9 ÷ 9 + 9 = 9 × 9 – 1 + 9 = 81 – 1 + 9 = 89 ≠ 17 Fourth option: 3 A 3 B 3 C 3 A 3 D 3 = 4 On replacing the letters with mathematical signs, we get – 3 + 3 – 3 × 3 + 3 ÷ 3 = 4 On solving the L.H.S. of the equation, we get – = 3 + 3 – 3 × 3 + 3 ÷ 3 = 3 + 3 – 3 × 3 + 1 = 3 + 3 – 9 + 1 = – 2 ≠ 4
Hence, the second option is correct.
Question : Select the option that expresses the given sentence in active voice.
The painting was not made by you.
Option 1: You should not make the painting.
Option 2: You does not make the painting.
Option 3: You did not make the painting.
Option 4: You do not make the painting.
Correct Answer: You did not make the painting.
Solution : The correct choice is the third option.
Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.
The structure of the active voice in the case of the simple past tense in a negative form is: "Subject + did + not + base form of the verb + object."
Therefore, the correct answer is: "You did not make the painting."
Question : Simplify the following expression. 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}]
Option 1: $\frac{120}{61}$
Option 2: $\frac{61}{120}$
Option 3: $3$
Option 4: $-3$
Correct Answer: $3$
Solution : 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}] = 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 + 3}] = 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {8 + 3}] = 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of 11] = 120 ÷ 15 of 4 + [11 × 4 ÷ 44] = 120 ÷ 15 of 4 + [11 × $\frac{1}{11}$] = 120 ÷ 15 of 4 + 1 = 120 ÷ 60 + 1 = 2 + 1 = 3 Hence, the correct answer is $3$.
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