Staff Selection Commission Combined Graduate Level Exam
Question : If O is the orthocenter of a triangle ABC and $\angle$ BOC = 100$^\circ$, then the measure of $\angle$BAC is ____.
Option 1: 100$^\circ$
Option 2: 180$^\circ$
Option 3: 80$^\circ$
Option 4: 200$^\circ$
Correct Answer: 80$^\circ$
Solution : Given, triangle ABC with O as an orthocentre. And, $\angle$ BOC = 100$^\circ$ So, $\angle$ ODA = $\angle$ OEA = 90$^\circ$ (orthocentre of a triangle) And $\angle$ BOC = $\angle$ DOE = 100$^\circ$ (vertically opposite angles) In quadrilateral ADOE, $\angle$ ADO + $\angle$ DOE +
Question : " Go back to vedas " This call given by
Option 1: Ramakrishna Paramah-amsa .
Option 2: Vivekanand.
Option 3: Jyotiba Phule.
Option 4: Daynand Saraswati.
Correct Answer: Daynand Saraswati.
Solution : The correct answer is Daynand Saraswati.
"Go Back to Vedas" is the slogan that Swami Dayanand Saraswathi coined. He was a fervent follower of the Vedas and an ascetic. He believed that the Vedas were the main source of basic knowledge and socially significant
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.
These murals are typical _______ Tamil Nadu.
Option 1: for
Option 2: on
Option 3: with
Option 4: of
Correct Answer: of
Solution : The correct choice is the fourth option.
Explanation: "Typical of" is the correct phrase to use in this context. It is commonly used to indicate that something is characteristic, representative, or typical of a particular place or group. In this case, it correctly conveys that
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g., 13 – operations on to 13 such as adding/subtracting/multiplying, etc. 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 2
Option 2: 8
Option 3: 6
Option 4: 4
Correct Answer: 2
Solution : Given:
Here, the number in the second column is multiplied by 3, and then the number of the third column is added to the resultant to obtain the number of the first column.
Like, In the
Question : Kamal has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?
Option 1: 18
Option 2: 42
Option 3: 50
Option 4: 90
Correct Answer: 50
Solution : Let Kamal eat $y$ apples. According to the question, $y\times \frac{(100+40)}{100}=70$ ⇒ $y\times \frac{140}{100}=70$ ⇒ $y=50$ Hence, the correct answer is 50.
Question : Directions: Three of the following letter clusters are alike in some manner and hence form a group. Which letter cluster does not belong to that group?
Option 1: SXHP
Option 2: UZFR
Option 3: XCCU
Option 4: VCDR
Correct Answer: VCDR
Solution : Let's check the options – First option: SXHP; S and H are the opposite letters of each other; X – 8 = P Second option: UZFR; U and F are the opposite letters of each other; Z – 8 = R Third option: XCCU; X
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.
Exercise is the (1)_______ of muscles and limbs which is done to (2)_____ a specific outcome. The chief aim of doing exercise is usually (3)_____ fitness. At the end of our(4)____ day, we prefer to (5)____ in leisure activities rather than a workout.
Question:
Select the most appropriate option to fill in the blank no. 5.
Option 1: indulge
Option 2: luxuriate
Option 3: abandon
Option 4: coddle
Correct Answer: indulge
Solution : The correct choice is the first option.
In the context of the sentence, the option, indulge best captures the idea of choosing enjoyable, leisurely activities over engaging in physical exercise. It implies a deliberate choice to enjoy oneself without the rigour or effort associated
Question : In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of $\angle {AQR}$ and $\angle {BRQ}$ intersect at point O. If $\angle {QOR} = 50^{\circ}$ what is the value of $\angle {QPR}$ ?
Option 1: $50^{\circ}$
Option 2: $60^{\circ}$
Option 3: $80^{\circ}$
Option 4: $100^{\circ}$
Correct Answer: $80^{\circ}$
Solution :
In triangle PQR, the bisectors of $\angle {AQR}$ and $\angle {BRQ}$ intersect at point O. According to the Angle bisector theorem, the angles formed at the incenter by the angle bisectors are half the sum of the other two angles of the triangle. $\angle {QOR}=
Question : If $\text{a}= {\sqrt{2}+1}$ and $\text{b} = {\sqrt{2}–1}$, then the value of $\frac{1}{a+1}+\frac{1}{b+1}$ will be:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: –1
Correct Answer: 1
Solution : Given: $\text{a}= {\sqrt{2}+1}$ and $\text{b} = {\sqrt{2}–1}$ $\frac{1}{a+1}+\frac{1}{b+1}$ $= \frac{1}{(\sqrt{2}+1)+1}+\frac{1}{(\sqrt{2}–1)+1}$ $= \frac{1}{(\sqrt{2}+2)}+\frac{1}{\sqrt{2}}$ $=\frac{1}{\sqrt{2}}[\frac{1}{(1+\sqrt{2})}+1]$ $=\frac{1}{\sqrt{2}}[\frac{(1–\sqrt{2})}{(1–2)}+1]$ $=\frac{1}{\sqrt{2}}[\sqrt{2}–1+1]$ $=\frac{1}{\sqrt{2}}×\sqrt{2}$ $= 1$ Hence, the correct answer is 1.
Question : Two toys are sold for Rs. 504 each. One toy brings the dealer a gain of 12% and the other a loss of 4%. The gain, or loss percentage, from selling both toys is:
Option 1: $3\frac{5}{13}$% profit
Option 2: $4\frac{5}{13}$% profit
Option 3: $5\frac{1}{13}$% profit
Option 4: $2\frac{3}{13}$% profit
Correct Answer: $3\frac{5}{13}$% profit
Solution : For the first toy, Selling price = Rs. 504 Gain% = 12% 504 = Cost price + 12% of Cost price 504 = 1.12 × Cost price Cost price = Rs. 450 For the second toy, Selling price = Rs. 504 Loss% = 4%
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