Staff Selection Commission Combined Graduate Level Exam
Question : In a school, there are 1500 students, 44% of whom are girls. The monthly fee for each boy is Rs. 540 and the fee for each girl is 25% less than that of a boy. The sum of the fees for both boys and girls is:
Option 1: Rs. 720600
Option 2: Rs. 720800
Option 3: Rs. 720900
Option 4: Rs. 721000
Correct Answer: Rs. 720900
Solution : Total number of students = 1500 44% of students are girls. Therefore, the number of girls $=\frac{44}{100} × 1500 = 660$ The number of boys = 1500 – 660 = 840 The monthly fee for each boy = Rs. 540 The monthly fee for
Question : Which of the following statements is/are correct regarding the changes made to small savings schemes by the Government of India in December 2022? A. The interest rate of a five-year National Saving Certificate has been increased to 7 per cent from 6.8 per cent. B. The interest rate on senior citizen saving schemes increased to 8 per cent from 7.6 per cent. C. The interest rate on the Public Provident Fund, Sukanya Samriddhi Account and Saving Deposit has been changed to 9% from 7.5%.
Option 1: B and C only
Option 2: A, B and C
Option 3: A and C only
Option 4: A and B only
Correct Answer: A and B only
Solution : The correct answer is A and B only.
The interest rate of a five-year National Saving Certificate has been increased to 7 per cent from 6.8 per cent. With a higher interest rate, individuals may find the National Saving Certificate more
Question : Directions: In the following question, one or two statements are given followed by two conclusions I and II. You have to consider the given statements to be true, even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions can be drawn from the given statements. Indicate your answer. Statements: 1. All boys are tall. 2. Rajiv is a boy. Conclusions: I. Rajiv is tall. II. Rajiv is not tall.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion I follows
Solution : As per the given information, let's analyse the conclusions – Conclusion I: Rajiv is tall – Based on the given statements, Rajiv is a boy, and all boys are tall. Therefore, from this, it can be concluded that Rajiv is tall. So,
Question : Directions: Study the following bar graph and answer the question. The bar graph gives the annual rates of inflation in percentage for 1975 and 1987. In the year 1987, the inflation rate in the Third World countries vis-à-vis the world jumped approximately by:
Option 1: 135%
Option 2: 126%
Option 3: 122%
Option 4: 200%
Correct Answer: 126%
Solution : As per the given graph: In the year 1987, The rate of inflation in the Third World = 36.2 The rate of inflation in the World = 16 The change in the rate of inflation in the year 1987 for the Third World and the
Question : -------- are a group of chemicals that influence cell division and shoot formation.
Option 1: Cytokinins
Option 2: Gibberellins
Option 3: Domins
Option 4: Auxins
Correct Answer: Cytokinins
Solution : The correct option is - cytokinins.
A group of plant hormones known as cytokinins promotes cytokinesis, or cell division, in the roots and shoots of plants. They promote apical dominance, axillary bud formation, and leaf senescence in addition to being largely involved in cell growth
Question : If $\sin \theta + \operatorname{cosec} \theta = \sqrt{5}$, the value of $\sin^3 \theta + \operatorname{cosec}^3 \theta = $?
Option 1: $0$
Option 2: $3 \sqrt{5}$
Option 3: $\frac{1}{\sqrt{5}}$
Option 4: $2 \sqrt{5}$
Correct Answer: $2 \sqrt{5}$
Solution : Given: $\sin \theta + \operatorname{cosec}\ \theta = \sqrt{5}$ Cubing both sides of the given expression, we get, ($\sin\ \theta + \operatorname{cosec} \theta)^3 = (\sqrt{5})^3$ $⇒\sin^3 \theta + \operatorname{cosec}^3 \theta + 3\sin\ \theta × \operatorname{cosec} \theta(\sin\ \theta + \operatorname{cosec} \theta) = (5\sqrt{5})$ $⇒\sin^3 \theta +
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 17 : 189 :: 13 : 69 :: 18 : ?
Option 1: 224
Option 2: 241
Option 3: 214
Option 4: 242
Correct Answer: 224
Solution : Given: 17 : 189 :: 13 : 69 :: 18 : ?
Like, 17 : 189→(172) – 100 = 289 – 100 = 189 13 : 69→(132) – 100 = 169 – 100 = 69 Similarly, for (18 : ?)→(182
Question : The term 'Gambit' is associated with which of the following sports?
Option 1: Basketball
Option 2: Chess
Option 3: Boxing
Option 4: Golf
Correct Answer: Chess
Solution : The answer is Chess.
The term gambit is related to the game of chess. The gambit is a chess opening in which a player, usually white, makes material sacrifices in the hope of gaining an advantageous position. Chess terminology includes "Gambit," "Bishop," and "Checkmate."
Question : Direction: In the given question, select the related letter from the given alternatives.
CARD : IGXJ :: POST : ?
Option 1: UTXY
Option 2: VUYZ
Option 3: UTYZ
Option 4: VUXY
Correct Answer: VUYZ
Solution : Given:
In the series, CARD → IGXJ
C + 6 = I ; A + 6 = G ; R + 6 = X : D + 6 = J
Similarly, P + 6 = V ; O
Question : If $a=\frac{1}{a - 5}(a>0)$, then the value of $a+\frac{1}{a}$ is:
Option 1: $\sqrt{29}$
Option 2: $–\sqrt{27}$
Option 3: $-\sqrt{29}$
Option 4: $\sqrt{27}$
Correct Answer: $\sqrt{29}$
Solution : Given: $a=\frac{1}{a-5}(a>0)$ ⇒ $a^{2}-5a=1$ Dividing both sides by $a$ we have, ⇒ $a - 5=\frac{1}{a}$ ⇒ $a-\frac{1}{a}=5$ We know that: $(a+\frac{1}{a})^{2}-(a-\frac{1}{a})^{2}=4$ ⇒ $(a+\frac{1}{a})^{2}-(5)^{2}=4$ ⇒ $(a+\frac{1}{a})^{2}=25+4$ $\therefore(a+\frac{1}{a})=\sqrt{29}$ Hence, the correct answer is $\sqrt{29}$.
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