Staff Selection Commission Combined Graduate Level Exam
Question : If $p = 8.15,$ $q = 9.06$, and $r =-17.21$, then the value of $p^3+q^3+r^3-3 p q r$ is:
Option 1: −3.81
Option 2: −5.62
Option 3: 4.75
Option 4: 0
Correct Answer: 0
Solution : $p = 8.15,$ $q = 9.06$ and $r =-17.21$ We know that, If $a+b+c=0$, then $a^3+b^3+c^3-3abc=0$ Here, $p+q+r=8.15+9.06+(-17.21)=0$ So, $p^3+q^3+r^3-3pqr=0$ Hence, the correct answer is 0.
Question : The Ministry of Agriculture and Farmers Welfare announced the launch of ______, which is a doorstep distribution drive to deliver crop insurance policies to farmers under the Pradhan Mantri Fasal Bima Yojana (PMFBY).
Option 1: Meri Policy Mere Hath
Option 2: Saubhagya Scheme
Option 3: SEED Scheme
Option 4: Kaushal Yojana
Correct Answer: Meri Policy Mere Hath
Solution : The correct answer is Meri Policy Mere Hath.
The 'Meri Policy Mere Hath' initiative or program is part of the Pradhan Mantri Fasal Bima Yojana, and it aims to motivate all the farmers in the country to insure their crops. Under this
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. My father give up / smoking when / I was twelve / years old.
Option 1: My father give up
Option 2: smoking when
Option 3: I was twelve
Option 4: years old
Correct Answer: My father give up
Solution : The correct choice is the first option.
The error is in the verb give. When expressing an action that occurred in the past, the past-tense form of the verb should be used. The correct past tense form of give is gave.
Therefore,
Question : The pie chart given below shows the sales of 7 different companies. The total sales of all these 7 companies are 3600. The sale of a particular company is shown in terms of degree with respect to the total sales of all these 7 companies.
Which of the following statements is correct? I. The ratio of the average sales of companies P and Q to the average sales of T and U is 9 : 10. II. The difference between the total sales of companies R and S and the sales of V is 1050.
Option 1: Neither I nor II
Option 2: Only II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Only I
Solution : Total sales of 7 companies = 3600 Note that the average sale is proportional to the angle in the pie chart. Sale of company X = $\frac{\text{Angle of that company in pie chart}}{\text{Total angle that is 360°}}\times$Total sales of all companies I. Sale of
Question : As of 2023, the term of office of the Vice-President of India is
Option 1: 4 years
Option 2: 5 years
Option 3: 2 years
Option 4: 6 years
Correct Answer: 5 years
Solution : The correct answer is 5 years.
The President and Vice-President are chosen for the 5-year term. The President is chosen by the electoral college mentioned in the constitution. The Vice President is the Ex officio chairman of the Rajya Sabha and is elected by
Question : Direction: Roshan is taller than Hardik who is shorter than Susheel. Niza is taller than Harry but shorter than Hardik. Susheel is shorter than Roshan. Who is the tallest?
Option 1: Susheel
Option 2: Hardik
Option 3: Harry
Option 4: Roshan
Correct Answer: Roshan
Solution : Given:
Roshan is taller than Hardik → Roshan > Hardik
Hardik is shorter than Susheel → Susheel > Hardik
Niza is taller than Harry but shorter than Hardik → Hardik > Niza > Harry
Susheel is shorter than Roshan → Roshan > Susheel
So, from
Question : In India, which of the following bodies is constitutional in nature?
Option 1: NITI Aayog
Option 2: National Human Rights Commission
Option 3: Central Vigilance Commission
Option 4: Finance Commission
Correct Answer: Finance Commission
Solution : The correct answer is the Finance Commission.
According to Article 280 of the Indian Constitution, the Finance Commission of India is established every five years by the Indian President. It is an advisory body that deals with the distribution of tax revenues among
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and ÷, 7 and 9
Option 1: 9 – 7 × 2 + 6 ÷ 3 = 11
Option 2: 9 + 4 × 3 – 7 ÷ 1 = 40
Option 3: 8 × 3 ÷ 6 + 9 – 7 = 14
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 18
Correct Answer: 8 × 3 ÷ 6 + 9 – 7 = 14
Solution : Let's check the options – First option: 9 – 7 × 2 + 6 ÷ 3 = 11 On interchanging the given signs and numbers, the equation becomes – ⇒ 7 – 9 ÷ 2
Question : A and B are centres of two circles of radii 11 cm and 6 cm, respectively. PQ is a direct common tangent to the circles. If AB = 13 cm, then the length of PQ will be:
Option 1: 8.5 cm
Option 2: 13 cm
Option 3: 12 cm
Option 4: 17 cm
Correct Answer: 12 cm
Solution : Length of direct common tangent $PQ = \sqrt{AB^2-(r_1-r_2)^2}$ $= \sqrt{13^2-(11-6)^2}$ $= \sqrt{13^2-5^2}$ $= \sqrt{169-25}$ $= \sqrt{144}$ $=12$ cm Hence, the correct answer is 12 cm.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line PQ). So, the left side of the reflected image will appear
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