Staff Selection Commission Combined Graduate Level Exam
Question : Simplify the given expression. $y+2 x-[(y-(y-x+y)-(x+y)+y]-2 y$
Option 1: $-y$
Option 2: $-2x$
Option 3: $y$
Option 4: $2x$
Correct Answer: $2x$
Solution : Given: $y+2x-[(y-(y-x+y)-(x+y)+y]-2 y$ = $y+2x-[(y-(2y-x)-x-y+y]-2 y$ = $y+2x-[y-2y+x-x]-2 y$ = $y+2x-y+2y-2 y$ = $2x$ Hence, the correct answer is $2x$.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. At most of the local dhabas and fast food joints, poor hygienic conditions (1)_____The (2)_____occurs due to poor quality packaging material or (3)_____storage conditions. Food cooked may not be washed or cleaned properly. It is low in (4)_____rich in oil content especially trans fats which make one (5)_____, lousy and dull. Select the most appropriate option to fill in the blank number 2.
Option 1: contamination
Option 2: perfection
Option 3: purification
Option 4: concentration
Correct Answer: contamination
Solution : The first option is the correct answer.
Contamination refers to the presence of unwanted or harmful substances, especially those that can make something impure or unfit for use. In the context of the passage, poor hygienic conditions lead to contamination, affecting the quality of food.
Question : The length of the shadow of a vertical tower on level ground increases by 10 m when the altitude of the sun changes from 45° to 30°. The height of the tower is:
Option 1: $10 \sqrt{3}$ m
Option 2: $5 \sqrt{3}$ m
Option 3: $5(\sqrt{3}+1)$ m
Option 4: $10(\sqrt{3}+1)$ m
Correct Answer: $5(\sqrt{3}+1)$ m
Solution : Let the height of the tower be $h$ meters. And $p$ is the shadow of the tower In $\triangle ABC$, ⇒ $\tan45^\circ = \frac{h}{p}$ ⇒ $p = h$....................................(equation i) In $\triangle ABD$ ⇒ $\tan30^\circ = \frac{h}{10+p}$ Putting the value $p$ from equation (i), we
Question : The Fundamental Duties were added to the Constitution of India by the ____________ Amendment.
Option 1: 73rd
Option 2: 42nd
Option 3: 34th
Option 4: 44th
Correct Answer: 42nd
Solution : The correct answer is 42nd.
The Fundamental Duties were added to the Constitution of India by the 42nd Amendment Act of 1976. This amendment, which came into effect on November 3, 1976, incorporated a list of ten fundamental duties that citizens of India are expected
Question : Which of the following statements is correct? I. The value of $100^2-99^2+98^2-97^2+96^2-95^2+$ $94^2-93^2+\ldots \ldots+22^2-21^2$ is 4840. II. The value of $\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}-\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^4-\frac{1}{\mathrm{k}^4}\right)$ is $\mathrm{k}^{16} - \frac{1}{\mathrm{k}^{16}}$.
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 : I. $100^2-99^2+98^2-97^2+96^2-95^2+$ $94^2-93^2+\ldots \ldots+22^2-21^2$ $= (100-99)(100+99) + (98-97)(98+97) + .......... + (22-21)(22+21)$ $= (1)(199) + (1)(195) + ............. + (1)(43)$ Here, $a$ = 43 and $d$ = 4 Let the number of terms be $n$. So, $a + (n-1)d = 199$ $⇒ 43 +
Question : Directions: If A × B means that A is the mother of B, A – B means that A is the father of B, and A ÷ B means that A is the sister of B, then which of the following expressions shows that P is the paternal grandmother of R?
Option 1: P ÷ R – Q
Option 2: P × Q ÷ R
Option 3: Q × P – R
Option 4: P × Q – R
Correct Answer: P × Q – R
Solution : Let's check the options – First option: P ÷ R – Q According to the given expression, the family tree will be as follows – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
Question : Which one of the following is the minimum value of the sum of two integers whose product is 24?
Option 1: 25
Option 2: 11
Option 3: 8
Option 4: 10
Correct Answer: 10
Solution : First, we need to find all the factors of 24. Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24 Integers whose product is 24: (1, 24), (2, 12), (3, 8), (4, 6) The sum of these integers = 25, 14, 11, 10
Question : Yamini Krishnamurthy is famous for which dance form?
Option 1: Manipuri
Option 2: Odissi
Option 3: Bharatanatyam
Option 4: Yakshagana
Correct Answer: Bharatanatyam
Solution : The correct option is Bharatanatyam.
Yamini Krishnamurthy is famous for her contributions to the Indian classical dance form of Bharatanatyam. She is a renowned dancer and choreographer in the field of Bharatanatyam, which is one of the most popular and traditional dance forms in
Question : Lanthanides are often called:
Option 1: Alkali metals
Option 2: Rare earth elements
Option 3: Inert gases
Option 4: D-block elements
Correct Answer: Rare earth elements
Solution : The correct answer is Rare earth elements.
Lanthanides are sometimes known as rare earth elements. These are a set of 15 chemical elements in the periodic table with atomic numbers ranging from 57 (lanthanum) to 71 (lutetium). They are dubbed "rare earth" because
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. Everything ___ carefully checked.
Option 1: has been
Option 2: have been
Option 3: are being
Option 4: is been
Correct Answer: has been
Solution : The first option is the correct answer: has been.
“Has been” is in the present perfect tense. "Everything" is a singular subject and the only option that matches the sentence is "has been.".
Therefore, the answer is "Everything
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