Staff Selection Commission Combined Graduate Level Exam
Question :
Directions: In the following question, select the related word from the given alternatives. Electric Current : Ampere :: Weight : ?
Option 1: Scale
Option 2: Kilogram
Option 3: Commodity
Option 4: Measurement
Correct Answer: Kilogram
Solution : Given: Electric Current : Ampere :: Weight : ?
Electric current is measured in amperes. Similarly, weight is measured in kilograms.
Hence, the second option is correct.
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.
In August every year, thousands of twins descend on a town in Ohio called Twinsburg, named by identical twin brothers 1.________ two centuries ago. The Twins Days Festival is a three-day 2.________ consisting of talent shows and look-alike 3.__________ that has become one of the world's 4.___________ gatherings of twins. There have been 5.____________festivals in Nigeria, a country where 1 in 22 births to the Yoruba people 6.____________ twins, identical or fraternal, which is a much higher 7. ___________than anywhere else in the world. This has been 8.___________ to the eating of yams, but the theory is 9.__________ Biomedical researchers attend these events, regarding them as a 10.____________ opportunity to conduct surveys and experiments.
Question: Select the most appropriate option to fill in the blank No. 4.
Option 1: tallest
Option 2: largest
Option 3: heaviest
Option 4: smallest
Correct Answer: largest
Solution : The second option is the correct answer.
We can say that the implied meaning of the sentence is that the Twins Days Festival is one of the biggest twin gatherings in the entire world, which is great in size in comparison to other festivals. According
Question : Find the value of $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$.
Option 1: $\frac{1}{\sqrt{3}}$
Option 2: $\frac{1}{1-\sqrt{3}}$
Option 3: $\frac{\sqrt{3}}{2}$
Option 4: $\frac{2}{\sqrt{3}}$
Correct Answer: $\frac{\sqrt{3}}{2}$
Solution : $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$ = $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{1}$ = $\cos (2×15)^{\circ}$ (Since $\cos^2A-\sin^2A=\cos2A$) = $\cos 30^{\circ}$ = $\frac{\sqrt 3}2$ Hence, the correct answer is $\frac{\sqrt 3}2$.
Question : If $\cos (A-B)=\frac{\sqrt{3}}{2}$, and $\cos (A+B)=0$, where $A$ and $B$ are positive acute angles and $A \geq B$, then the measures of $A$ and $B$ are:
Option 1: 80° and 10°
Option 2: 60° and 30°
Option 3: 70° and 20°
Option 4: 50° and 40°
Correct Answer: 60° and 30°
Solution : Given, $\cos (A-B)=\frac{\sqrt{3}}{2}$ and $\cos (A+B)=0$ Since $A$ and $B$ are acute positive angles, $\cos (A-B)=\frac{\sqrt{3}}{2}$ ⇒ $(A-B) = \cos^{-1} \frac{\sqrt{3}}{2}$ ⇒ $(A-B) = 30°$ ------------------ (1) $\cos (A+B)=0$ ⇒ $(A+B) = \cos^{-1} 0$ ⇒ $(A+B) = 90°$ --------------------- (2) Solving (1) and
Question : The average of 5 consecutive integers starting with 'm' is n. What is the average of 6 consecutive integers starting with (m + 2)?
Option 1: $\frac{2n+5}{2}$
Option 2: $(n+2)$
Option 3: $(n+3)$
Option 4: $\frac{2n+9}{2}$
Correct Answer: $\frac{2n+5}{2}$
Solution : Average of 5 consecutive integers starting with 'm' = n Let m, m + 1, m + 2, m + 3, m + 4 be the 5 consecutive integers. Average of 5 consecutive integers = middle term $n$ = m + 2---------------------------------(i) Then 6 consecutive
Question : Select the correct passive form of the given sentence. She has learned many lessons in this camp.
Option 1: Many lessons has been learned by her in this camp.
Option 2: Many lessons are being learned by her in this camp.
Option 3: Many lessons have been learned by her in this camp.
Option 4: Many lessons were learned by her in this camp.
Correct Answer: Many lessons have been learned by her in this camp.
Solution : The third option is the correct choice.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the
Question : What is the numerical value of a physical quantity?
Option 1: Reference
Option 2: Direction
Option 3: Distance
Option 4: Magnitude
Correct Answer: Magnitude
Solution : The correct answer is Magnitude.
In physics, magnitude refers to a physical quantity's strength or intensity. It is often expressed as a numerical value and used to compare different quantities to one another. Among the physical quantities that can be measured by magnitude are
Question : The chart shows the population of the seven districts of the National Capital Territory of Delhi. If the total population of the seven districts is 150 crore, find the total population of A and D.
Option 1: 45 Crore
Option 2: 46 Crore
Option 3: 40 Crore
Option 4: 42 Crore
Correct Answer: 45 Crore
Solution : Total population = 13$x$ + 16$x$ + 8$x$ + 17$x$ + 18$x$ + 13$x$ + 15$x$ = 100$x$ Given: 100$x$ = 150 crores $\therefore x$ = 1.5 crores Population of A = 13$x$ = 13 × 1.5 crore = 19.5 crores Population of D
Question : The Raigarh Gharana is associated with which of the following dance forms?
Option 1: Odissi
Option 2: Kathakali
Option 3: Kathak
Option 4: Manipuri
Correct Answer: Kathak
Solution : The correct option is Kathak.
The Raigarh Gharana is associated with the Kathak dance form. Kathak is a classical Indian dance form that has several arenas or schools, each with its distinct style and traditions. The Raigarh Gharana is one of these gharanas and
Question : Select the most appropriate ANTONYM of the word ‘STRANGE’ from the given sentence.
The intriguing journal took a back place once more to the more mundane events at the Ouray Inn.
Option 1: events
Option 2: intriguing
Option 3: mundane
Option 4: place
Correct Answer: mundane
Solution : The correct choice is the third option.
We know that intriguing means fascinating, captivating, or unusual, and mundane means ordinary, commonplace, or lacking interest or excitement.
The word intriguing is synonymous with strange in the context of being interesting or out of the ordinary.
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