Staff Selection Commission Combined Graduate Level Exam
Question : Which of the following perennial rivers is 720 km long, originates in the Himalayas, and flows through the Chamba of Himachal Pradesh?
Option 1: Sarayu River
Option 2: Yamuna River
Option 3: Ravi River
Option 4: Krishna River
Correct Answer: Ravi River
Solution : The correct answer is Ravi River.
The Ravi River rises in the region of Kangra and flows through Jammu & Kashmir, Punjab, Himachal Pradesh, and the Himalayas. The main Ravi River flows past Chamba town and through the base of Dalhousie Hill. The water
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The audience has being / angry as the magician / is not performing / as expected.
Option 1: is not performing
Option 2: as expected
Option 3: The audience has being
Option 4: angry as the magician
Correct Answer: The audience has being
Solution : The correct choice is the third option.
The sentence contains an error in the segment "has being". The correction involves using the correct form of the verb "to be" in the past participle tense. Instead of "has being", it should be "has
Question : How many 100-digit positive numbers are there?
Option 1: $9×10^{99}$
Option 2: $9×10^{100}$
Option 3: $10100$
Option 4: $11×10^{98}$
Correct Answer: $9×10^{99}$
Solution : In any 100-digit number, the first digit cannot be 0. It will be a number from 1 to 9. The next digits can be any digit from 0 to 9. Number of 100-digit positive numbers = 9 × 10 × 10 × 10 ……………10 (99
Question : Who was given the title of "The Ambassador of Hindu-Muslim Unity" for being the architect and mastermind of the historic Lucknow Pact?
Option 1: Sir Syed Ahmad Khan
Option 2: Fazlul Huq
Option 3: Syed Mohammad Sharfuddin Quadri
Option 4: Muhammad Ali Jinnah
Correct Answer: Muhammad Ali Jinnah
Solution : The correct answer is Muhammad Ali Jinnah.
In December 1916, the historic Lucknow Pact was signed. The Muslim League and the Indian National Congress had an agreement. Ambika Charan Mazumdar served as Indian National Congress president during the Lucknow Pact. Muhammad Ali Jinnah,
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, follow the directions to find the next term –
Hence, the second option is correct.
Question : Direction: In each of the following question, select the missing number from the given responses.
Option 1: 63
Option 2: 24
Option 3: 52
Option 4: 12
Correct Answer: 63
Solution : Given:
In the first column, 8 x 3 = 24 → 24 + 6 = 30
In the second column, 2 x 9 = 18 → 18 + 4 = 22
In the
Question : A, B and C can work separately in 18, 36 and 54 days. They started the work together, but B and C left 5 days and 10 days, respectively, before the completion of the work. In how many days was the work finished?
Option 1: 15 days
Option 2: 13 days
Option 3: 14 days
Option 4: 12 days
Correct Answer: 13 days
Solution : A, B, and C can do work separately in 18, 36, and 54 days Let the total work = LCM (18, 36, and 54) = 108 units Efficiency = $\frac{\text{Total work}}{\text{Number of days}}$ So, Efficiency of A = $\frac{108}{16}$ = 6 Efficiency of B
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. IMPROVEMENT
Option 1: ROPE
Option 2: TRIM
Option 3: IMPORTANT
Option 4: PROVE
Correct Answer: IMPORTANT
Solution : Given: IMPROVEMENT
Let's compare all the option words with the word IMPROVEMENT – First option: ROPE; All the letters of ROPE are present in the word IMPROVEMENT. Second option: TRIM; All the letters of TRIM are present in the word IMPROVEMENT. Third option: IMPORTANT; Only
Question : If $\cos 21^{\circ}=\frac{x}{y}$, then $(\operatorname{cosec21^{\circ}}-\cos 69^{\circ})$ is equal to:
Option 1: $\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$
$\frac{y^{2}}{x\sqrt{y^{2}-x^{2}}}$
$\frac{y^{2}}{x\sqrt{x^{2}-y^{2}}}$
Option 4: $\frac{x^{2}}{y\sqrt{x^{2}-y^{2}}}$
Correct Answer: $\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$
Solution : Given: $\cos 21^{\circ}=\frac{x}{y}$ So, $\cos 69^{\circ}=\cos (90^{\circ}-21^{\circ})=\sin 21^{\circ}= \sqrt{1-\cos^2 21º}=\sqrt{1-\frac{x^2}{y^2}}=\frac{\sqrt{y^2-{x^2}}}{y}$ Also, $\operatorname{cosec21^{\circ}}=\frac{1}{\sin 21^{\circ}}=\frac{y}{\sqrt{y^2-{x^2}}}$ Now, $(\operatorname{cosec21^{\circ}}-\cos 69^{\circ})=\frac{y}{\sqrt{y^2-{x^2}}}-\frac{\sqrt{y^2-{x^2}}}{y}$ ⇒ $(\operatorname{cosec21^{\circ}}-\cos 69^{\circ})=\frac{y^2-(y^2-x^2)}{y\sqrt{y^2-{x^2}}}=\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$ Hence, the correct answer is $\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$.
Question : Select the option that can be used as a one-word substitute for the given group of words. A person having significant experience in an occupation.
Option 1: Agnostic
Option 2: Fastidious
Option 3: Veteran
Option 4: Novice
Correct Answer: Veteran
A veteran is a person who has considerable experience or has been involved in a particular activity, profession, or occupation for a long time. They are highly skilled or knowledgeable due to their extensive experience.
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