Staff Selection Commission Combined Graduate Level Exam
Question : In $\triangle A B C, P$ and $Q$ are points on $AB$ and $BC$, respectively, such that $PQ\parallel AC$. Given that $AB=26, PQ=7$ and $AC=10$, then find the value of $AP$.
Option 1: 7.1
Option 2: 7.8
Option 3: 18.2
Option 4: 16.4
Correct Answer: 7.8
Solution : In $\triangle A B C, PQ\parallel AC$. Also, $A B=26, P Q=7$ and $A C=10$ Since $PQ\parallel AC$, So, $\triangle ABC \sim \triangle PBQ$ ⇒ $\frac{AB}{BP}=\frac{AC}{PQ}$ ⇒ $\frac{26}{BP}=\frac{10}{7}$ ⇒ $BP = 26\times 0.7$ ⇒ $BP=18.2$ Now, $AB=BP+PA$ ⇒ $26=18.2+AP$ ⇒ $AP=26-18.2$ ⇒ $AP=7.8$ Hence, the
Question : A certain sum of money lent at simple interest amounts to INR 1,200 in 2 years and INR 1,600 in 4 years. The rate percentage per annum is:
Option 1: 20%
Option 2: 30%
Option 3: 25%
Option 4: 16%
Correct Answer: 25%
Solution : Interest for 2 years = Amount after 4 years - Amount after 2 years = 1600 - 1200 = INR 400 ⇒ Interest for 1 year = INR 200 Principal = Amount after 2 years - Interest for 2 years = 1200 - 400 =
Question : If $a+\frac{1}{b}=1$, $b+\frac{1}{c}=1$ , then the value of $(abc)$ is:
Option 1: $0$
Option 2: $–1$
Option 3: $1$
Option 4: $ab$
Correct Answer: $–1$
Solution : Given: $a+\frac{1}{b}=1$, $b+\frac{1}{c}=1$. $a+\frac{1}{b}=1$ $ab+1=b$ (equation 1) Also, $b+\frac{1}{c}=1$ $1–\frac{1}{c}=b$ (equation 2) Substitute the value of b in equation 1, we get $ab+1=1–\frac{1}{c}$ $ab=–\frac{1}{c}$ $abc=–1$ Hence, the correct answer is $–1$.
Question : Who was the inventor of frozen foods?
Option 1: Alfred Nobel
Option 2: Clarence Birdseye
Option 3: Frank Whittle
Option 4: Ives W. McGaffey
Correct Answer: Clarence Birdseye
Solution : The correct option is Clarence Birdseye.
Clarence Birdseye, an American businessman and inventor (born in New York on December 9, 1886), is best known for creating a method for freezing food in manageable retail-sized quantities. In frozen technology, food is stored at -180
Question : If a perfect square, not divisible by 6, is divided by 6, the remainder will be:
Option 1: 1, 3 or 5
Option 2: 1, 2 or 5
Option 3: 1, 3 or 4
Option 4: 1, 2 or 4
Correct Answer: 1, 3 or 4
Solution : Given: Perfect square numbers not divisible by 6 are 9, 16, 25, 49, 64, 81..... $⇒ \frac{9}{6}$ ⇒ Remainder = 3 $⇒ \frac{16}{6}$ ⇒ Remainder = 4 $⇒ \frac{25}{6}$ ⇒ Remainder = 1 $⇒ \frac{49}{6}$ ⇒ Remainder = 1 $⇒ \frac{64}{6}$ ⇒
Question : Which of the following is correctly matched?
Option 1: Kalbaisakhi - Autumn winds
Option 2: Trade winds - Winter snowstorm
Option 3: Loo - Hot wind
Option 4: Loo - Winter stormy winds
Correct Answer: Loo - Hot wind
Solution : The correct option is Loo - Hot Wind.
Loo refers to a strong, hot and dry wind that blows across the plains of North India during the summer season. It is known for its scorching heat and is a significant meteorological phenomenon
Question : Mohan Das Karamchand Gandhi was called as ' Mahatma' by
Option 1: Bal Gangadhar Tilak
Option 2: Motilal Nehru
Option 3: Jawaharlal Neharu
Option 4: Rabindra Nath Tagore
Correct Answer: Rabindra Nath Tagore
Solution : Correct Answer is Rabindra Nath Tagore
"Mahatma" is a title attributed to Gandhi by some authors. According to Tagore, Gandhi used this title on 6 March 1915 in South Africa. "Mahatma" literally means 'great soul'. "Father of the Nation" is another name given
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The teacher asked him where did he live.
(1) he has been living
(2) he lives
(3) he lived
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct answer is the third option.
When forming indirect questions, we don't use the auxiliary verb "do" or "did" in the subordinate clause. Instead, we use the word order of a declarative sentence The correct one is the third option, as it follows
Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.
Option 1: 448
Option 2: 576
Option 3: 480
Option 4: 512
Correct Answer: 448
Solution : Let the two numbers be $a$ and $b$ $(a+b)^{3}=1728$ ⇒ $a+b=\sqrt[3]{1728}=12$............I $ab=32$ given, Now, $(a+b)^2-(a-b)^2=4ab$ ⇒ $(a-b)^2 = 12^2-4\times 32$ ⇒ $(a-b)^2 = 16$ ⇒ $a-b=4$.................II By adding eq. I and eq. II $2a=16$ ⇒ $a=8$ Put $a=8$ in eq. I ⇒ $8 +b =12$
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bold part of the sentence. In case no improvement is needed, select "No Improvement".
Migrant workers can be seen working on many of the building places in New Delhi.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct option is the first option, as "sites" is a more precise and suitable word to describe the places where the workers are working, making the sentence clearer and more accurate.
The meanings of the other options are as follows:
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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