Staff Selection Commission Combined Graduate Level Exam
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 $\sqrt{29}$.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Jyoti refused to be _________ by her long illness.
Option 1: dispersed
Option 2: dispensed
Option 3: dispatched
Option 4: dispirited
Correct Answer: dispirited
Solution : The correct answer is in option four.
The correct sentence is: "Jyoti refused to be dispirited by her long illness."
Dispirited means lacking courage or enthusiasm. In this context, it means that Jyoti refused to let her illness bring her down. She remained positive and
Question : A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. They started the work together and completed the work such that B was not working in the last 2 days and A did not work in the last 3 days. In how many days (total) was the work completed?
Option 1: $\frac{82}{7}$ days
Option 2: $\frac{79}{7}$ days
Option 3: $\frac{65}{7}$ days
Option 4: $\frac{72}{7}$ days
Correct Answer: $\frac{72}{7}$ days
Solution : Given: A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. Use the formula, Total work = efficiency × time.
Question : The following table shows the marks distribution among the students in a class.
How many students scored marks between 20 and 30?
Option 1: 2
Option 2: 5
Option 3: 1
Option 4: 6
Correct Answer: 1
Solution : The number of students who scored less than 20 = 5 The number of students who scored less than 30 = 6 So, the number of students scored marks between 20 and 30 = 6 – 5 = 1 Hence, the correct answer is 1.
Question : Ramlal marks up his goods by 40% and gives a discount of 10%. What is his net profit percentage?
Option 1: 24%
Option 2: 26%
Option 3: 28%
Option 4: 32%
Correct Answer: 26%
Solution : Let the cost price be Rs. 100. Ramlal marks up his goods by 40%. So, marked price = (100 + 40) = Rs. 140 Now, he gives a discount of 10% on the marked price. So, selling price $=\frac{90 × 140}{100} = 126$ Thus, the
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