Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, from the given alternative words, select the word that cannot be formed using the letters of the given word. NIGHTWALKER
Option 1: TALKER
Option 2: TAILER
Option 3: WALLER
Option 4: WINER
Correct Answer: WALLER
Solution : Given: NIGHTWALKER
Let's compare all the option words with the word NIGHTWALKER – First option: TALKER; All the letters of TALKER are present in the word NIGHTWALKER. Second option: TAILER; All the letters of TAILER are present in the word NIGHTWALKER. Third option: WALLER; Only
Question : Identify the segment in the sentence which contains a grammatical error. If there is no error, select 'No error'.
It turned out to be the noisy park party anybody had ever attended.
Option 1: No error
Option 2: the noisy park party
Option 3: anybody had ever attended.
Option 4: It turned out to be
Correct Answer: the noisy park party
Solution : The correct choice is the second option.
The superlative form noisiest should be used in place of noisy to make the sentence grammatically accurate. A superlative adjective expresses the extreme or highest degree of quality.
Therefore, the correct sentence is: It
Question : 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 Maasais live in (1)_____ very beautiful part of Africa. They live on the wide plains in southern and northern Kenya and northern Tanzania. The area (2)____of miles of rolling grass land, on which you can find thorny bushes and rocky hills. The people move from one place to another according to the seasons, looking for grasses and other plants (3)_____ which their cattle can graze. They have no permanent home. When they want to settle in a place for some time, they build a kind of camp called a 'Manyatta', where a few families live for a (4)____ weeks or months. Then they move on again, taking their few (5)_____ with them, and burning the old 'Manyatta' to the ground.
Question
Select the most appropriate option to fill in the blank number 2.
Option 1: surrounds
Option 2: measures
Option 3: considers
Option 4: consists
Correct Answer: consists
Solution : The correct answer is the fourth option.
The word consists is the most fitting choice to describe the composition of the area. It indicates that the area is made up of miles of rolling grassland, providing a sense of what the region comprises.
Therefore, the
Question : As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and returns to the starting point at 75 km/h. The average speed of the person throughout the journey is:
Option 1: 63.46 km/h
Option 2: 58.74 km/h
Option 3: 68.15 km/h
Option 4: 49.58 km/h
Correct Answer: 63.46 km/h
Solution : Time taken for the first journey $= \frac{120}{80} = \frac{3}{2}$ hr Time taken for the second journey $= \frac{100}{40} = \frac{5}{2}$ hr Distance covered in first and second journeys = 120 + 100 = 220 km While returning, the time taken $=\frac{220}{75 }= \frac{44}{15}$
Question : Comprehension: In the given passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Over the past year, Dr. Hemmings has been conducting research on the big cat phenomenon and has already 1._________ the remains of some wild animals that may have been eaten by 2._________ far larger than any of the country's known carnivores. The project has 3.___________ an analysis of twenty skeletal animal remains 4.__________ from across Gloucestershire and other nearby counties. The bones were selected because the 5.____________ of their deaths led people to believe that these animals may have been killed by a big cat.
Question: Select the most appropriate option to fill in the blank No.5
Option 1: opportunities
Option 2: potential
Option 3: affairs
Option 4: circumstances
Correct Answer: circumstances
Solution : The fourth option is the correct answer.
We can say that the implied meaning of the sentence is that the bones were selected by Dr. Hemmings because the particular condition connected with the animals' deaths suggested that a large cat may have killed them. According
Question : If $a+b+c=15$ and $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{71}{abc}$, then the value of $a^{3}+b^{3}+c^{3}-3abc$ is:
Option 1: 160
Option 2: 180
Option 3: 200
Option 4: 220
Correct Answer: 180
Solution : Given: $a+b+c=15$ $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{71}{abc}$ Taking LCM of (a, b, c), we have: ⇒ $\frac{bc+ac+ab}{abc}=\frac{71}{abc}$ ⇒ $bc+ac+ab=71$ We know that $a^{2}+b^{2}+c^{2}=(a+b+c)^{2}-2(ab+bc+ca)$ By putting the values, we have, $a^{2}+b^{2}+c^{2}=(15)^{2}-2×71$ ⇒ $a^{2}+b^{2}+c^{2}=225-142$ ⇒ $a^{2}+b^{2}+c^{2}=83$ We know that $a^{3}+b^{3}+c^{3}-3abc=(a+b+c)(a^{2}+b^{2}+c^{2}-(ab+bc+ca))$ By putting the values, we have, $a^{3}+b^{3}+c^{3}-3abc=(15)(83-71)$ Or, $a^{3}+b^{3}+c^{3}-3abc=15×12=180$ Hence, the
Question : A thief steals an item and escapes, running at a speed of 15 km/h. A policeman arrives at the spot of the crime after 4 minutes and immediately starts chasing the thief. 16 minutes after the policeman started to chase the thief, there was still a gap of 200 m between the two. At what distance from the spot of the crime will the policeman catch up with the thief and what is the speed of the policeman?
Option 1: 5.5 km; 16.5 km/h
Option 2: 6 km; 18 km/h
Option 3: 6.5 km; 19.5 km/h
Option 4: 5 km; 15 km/h
Correct Answer: 6 km; 18 km/h
Solution : Distance travelled by thief before police started chasing him = 15 × $\frac{4}{60}$ = 1 km Distance travelled by the thief in 16 minutes after police started chasing him = 15 × $\frac{16}{60}$ = 4 km In 16 minutes, the gap between
Question : ____________ measures the aggregate production of final goods and services taking place within the domestic economy during a year.
Option 1: Gross national income
Option 2: Gross domestic product
Option 3: Net national product
Option 4: National income at factor price
Correct Answer: Gross domestic product
Solution : The correct answer is Gross domestic product.
Gross Domestic Product (GDP) measures the aggregate production of final goods and services taking place within the domestic economy during a specific time, typically in a year. GDP is a key indicator of the overall
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and ÷
Option 1: 18 + 6 – 6 ÷ 3 × 3 = 6
Option 2: 18 + 2 × 6 ÷ 3 – 7 = 50
Option 3: 7 × 8 ÷ 4 + 2 – 6 = 49
Option 4: 6 × 9 + 3 – 24 ÷ 8 = 2
Correct Answer: 7 × 8 ÷ 4 + 2 – 6 = 49
Solution : Given: Interchange + and ÷
First option: 18 + 6 – 6 ÷ 3 × 3 = 6 Interchanging + and ÷, and solving the L.H.S. we get, 18 ÷ 6 – 6 + 3
Question : If $k$ is the largest possible real number such that $p^{4}+q^{4}=(p^{2}+kpq+q^{2})(p^{2}-kpq+q^{2})$, then the value of $k$ is:
Option 1: $1$
Option 2: $–\sqrt{2}$
Option 3: $2$
Option 4: $\sqrt{2}$
Correct Answer: $\sqrt{2}$
Solution : Given: $p^{4}+q^{4}=(p^{2}+kpq+q^{2})(p^{2}-kpq+q^{2})$ -----(1) $p^{4}+q^{4}$ $=(p^{2})^{2}+(q^{2})^{2}$ $=(p^{2}+q^{2})^{2}-2p^{2}q^{2}$ $=(p^{2}+q^{2})^{2}-(\sqrt{2}pq)^{2}$ $=(p^{2}+\sqrt{2}pq+q^{2})(p^{2}-\sqrt{2}pq+q^{2})$ By comparing this with equation (1), we get, $k=\sqrt{2}$ Hence, the correct answer is $\sqrt{2}$.
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