Staff Selection Commission Combined Graduate Level Exam
Question : A horse is grazing in a field. It is tied to a pole with a rope of length 6 m. The horse moves from point A to point B making an arch with an angle of 70°. Find the area of the sector grazed by the horse.
Option 1: 22 m$^2$
Option 2: 21 m$^2$
Option 3: 23 m$^2$
Option 4: 20 m$^2$
Correct Answer: 22 m$^2$
Solution : Given, Radius, $r$ = 6 m Central angle, $\theta$ = 70° So, the required area = $\pi\times 6^2 \times \frac{70°}{360°}$ $=\frac{22}{7}\times 36\times \frac{70°}{360°}$ $= 22\text{ m}^2$ Hence, the correct answer is 22 m$^2$.
Question : In trapezium $ABCD$, $AB \parallel CD$ and $AB = 2CD$. Its diagonals intersect at $O$. If the area of $\triangle AOB=84\;\mathrm{cm^2}$ then the area of $\triangle COD$ is equal to:
Option 1: 72 cm2
Option 2: 21 cm2
Option 3: 42 cm2
Option 4: 26 cm2
Correct Answer: 21 cm2
Solution :
In trapezium $ABCD$, $AB \parallel CD, AB = 2CD$ and area of $\Delta AOB=84\;\mathrm{cm^2}$. In $\triangle AOB$ and $\triangle COD$, $\angle AOB=\angle COD$ (Vertically opposite angles) $\angle ABO=\angle CDO$ (Alternate angles) $\angle BAO=\angle DCO$ (Alternate angles) So, $\triangle AOB\sim\triangle COD$ Using the theorem,
Question : Reserve Bank of India was nationalised in:
Option 1: 1947
Option 2: 1948
Option 3: 1949
Option 4: 1951
Correct Answer: 1949
Solution : The correct answer is 1949.
RBI was established under the Reserve Bank of India Act 1934. It was established on the recommendation of Hilton Young Commission also known as Royal Commission on Indian Currency and Finance. It was nationalised on 1st January 1949 on the
Question : Select the most appropriate synonym of the given word. INEVITABLY
Option 1: Avoidably
Option 2: Certainly
Option 3: Distantly
Option 4: Unlikely
Correct Answer: Certainly
Solution : The second option is correct.
Question : Who selects the Social Audit Committee under the MGNREGA scheme?
Option 1: Chief Minister
Option 2: Gram Sabha
Option 3: Mayor
Option 4: B.D.O
Correct Answer: Gram Sabha
Solution : The correct option is Gram Sabha.
The Gram Sabha in India chose the Social Audit Committee of the Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) program. The Social Audit Committee conducts routine social audits of MGNREGA initiatives and operations in the Gram Sabha
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. He is in debt due to his judicious tastes and habits.
Option 1: affluent
Option 2: frugal
Option 3: extravagant
Option 4: moderate
Correct Answer: extravagant
Solution : The correct choice is the third option.
Judicious typically means having or showing good judgement or wisdom in making sensible decisions. The opposite of judicious would be extravagant, which means spending money or resources in a wasteful or excessive manner.
The meanings of
Question : For any real values of $\theta, \sqrt{\frac{\sec\theta \:-\: 1}{\sec\theta \:+\: 1}}=$?
Option 1: $\cot\theta - \operatorname{cosec}\theta$
Option 2: $\sec\theta - \tan\theta$
Option 3: $\operatorname{cosec}\theta - \cot\theta$
Option 4: $\tan\theta - \sec\theta$
Correct Answer: $\operatorname{cosec}\theta - \cot\theta$
Solution : Given: $\sqrt{\frac{\sec\theta \:-\: 1}{\sec\theta \:+\: 1}}$ = $\sqrt{\frac{(\sec\theta \:-\: 1)(\sec\theta\:-\:1)}{(\sec\theta \:+\:1)(\sec\theta\:-\:1)}}$ = $\sqrt{\frac{(\sec\theta\:-\:1)^2}{\sec^2\theta\:-\:1}}$ = $\sqrt{\frac{(\sec\theta\:-\:1)^2}{\tan^2\theta}}$ = $\frac{(\sec\theta\:-\:1)}{\tan\theta}$ = $\operatorname{cosec}\theta-\cot\theta$ Hence, the correct answer is $\operatorname{cosec}\theta-\cot\theta$.
Question : Sentences of a paragraph are given below. While the first and the last sentences (S1 and S6) are in the correct order, the sentences in between are jumbled up. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. S1. In Dr. Babasaheb Ambedkar A. but also an elder statesman and national leader, B. we have not only a crusader against the caste system, C. a valiant fighter for the cause of the downtrodden in India D. whose contribution in the form of the Constitution of India S6. will be cherished forever by posterity.
Option 1: DABC
Option 2: CABD
Option 3: BACD
Option 4: ABCD
Correct Answer: BACD
Solution : The correct choice is the third option: BACD.
Explanation: Part B introduces the subject of the paragraph, highlighting Dr. Babasaheb Ambedkar's multifaceted role as a crusader against the caste system. Part A further elaborates on his character, describing him not only as a crusader
Question : What is the name of the portal launched by the Reserve Bank of India (RBI) to check illegal money collection?
Option 1: Sahyog
Option 2: Sahayata
Option 3: Sampark
Option 4: Sachet
Correct Answer: Sachet
Solution : The correct answer is sachet.
In 2016, the RBI established the Sachet platform to combat unlawful money collecting. Sachet is an integration for Sahyog Sahayata Sampark, which translates to " cooperation, assistance and contact" in Hindi. The Sachet site allows the public to learn about
Question : For a missile launched with a velocity less than the earth's escape velocity, the total energy is
Option 1: either positive of negative
Option 2: Negative
Option 3: Zero
Option 4: Positive
Correct Answer: Negative
Solution : The Correct Answer is- Negative
Kinetic and potential energy are negative when added together. This is because the missile is restrained by the earth's gravitational field at speeds below escape velocity. As a result, it has negative total energy. The minimum velocity needed for an
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
And never miss an important update
