Staff Selection Commission Combined Graduate Level Exam
Question : A circle is inscribed in a ΔABC having sides AB = 16 cm, BC = 20 cm, and AC = 24 cm, and sides AB, BC, and AC touch circle at D, E, and F, respectively. The measure of AD is:
Option 1: 10 cm
Option 2: 20 cm
Option 3: 6 cm
Option 4: 14 cm
Correct Answer: 10 cm
Solution :
Given: A circle is inscribed in a ΔABC having sides AB = 16 cm, BC = 20 cm, and AC = 24 cm, and sides AB, BC, and AC touch circle at D, E, and F, respectively. We know that tangents drawn from an
Question : Where does the cabbage store food ?
Option 1: Leaves
Option 2: Stem
Option 3: Fruit
Option 4: Root
Correct Answer: Leaves
Solution : The correct option is Leaves.
Cabbage, like many other green vegetables, primarily stores food in its leaves. It stores carbohydrates in the form of sugars and starches in its leaves, specifically. During the growth and development of the cabbage plant, these stored carbohydrates provide energy.
Question : If (a + b + c) = 12 and (ab + bc + ca) = 47, find the value of (a3 + b3 + c3 – 3abc).
Option 1: 24
Option 2: 36
Option 3: 48
Option 4: 42
Correct Answer: 36
Solution : Given: (a + b + c) = 12 and (ab + bc + ca) = 47. On squaring both sides of the equation, (a + b + c) = 12, we get, (a + b + c)2 = 122 ⇒ a2 +
Question : Bhakra Nangal Project is constructed across which River?
Option 1: Ganga
Option 2: Sultej
Option 3: Cauvery
Option 4: Brahmaputra
Correct Answer: Sultej
Solution : The correct answer is Sutlej.
The Bhakra dam is built on the Satluj River on the Himachal Pradesh-Punjab border near Nangal. It is intended for both irrigation and hydroelectric power generation. The Gobind Sagar reservoir, named after Guru Gobind Singh, was formed by this
Question : A and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?
Option 1: $3\frac{1}{8}$
Option 2: $5\frac{1}{8}$
Option 3: $6\frac{1}{8}$
Option 4: $\frac{2}{3}$
Correct Answer: $\frac{2}{3}$
Solution : Time taken by A alone to complete the work = 5 days Work done by A alone in a day = $\frac{1}{5}$ Time taken by B alone to complete the work = 10 days Work done by B alone in a day = $\frac{1}{10}$ Work
Question : Select the most appropriate option to fill in the blank.
The angles are equal, consequently the sides are _________.
Option 1: equal
Option 2: unequal
Option 3: larger
Option 4: smaller
Correct Answer: equal
Solution : The correct choice is the first option.
The conjunction consequently should be followed by a clause or phrase that logically results from the previous statement. In this context, the correct word to fill in the blank is an adjective that describes the relationship between the
Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word. DETERMINATION
Option 1: DETENTION
Option 2: DESTINATION
Option 3: TERMINATE
Option 4: DOMINATE
Correct Answer: DESTINATION
Solution : Given: DETERMINATION
Now, let's compare all the option words with the word DETERMINATION – First option: DETENTION; All the letters of DETENTION are present in the word DETERMINATION. Second option: DESTINATION; All the letters of DESTINATION are not present in the word DETERMINATION. S is
Question : Which of the following territories to the south and north were made part of the Chola kingdom by the successors of the ruler Vijayalaya?
Option 1: Pallava and Chera
Option 2: Pandyan and Pallava
Option 3: Rashtrakuta and Chera
Option 4: Vakataka and Satavahana
Correct Answer: Pandyan and Pallava
Solution : The correct answer is Pandyan and Pallava.
Vijayalaya's successors increased the kingdom's size and power by conquering new territory. In the past, Vijayalaya was a feudal prince who served as the head of the Pallava kingdom, which had its headquarters at Uraiyur,
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Rafeek introduced me to his (friend who is both a scientist and a musician).
(1) scientist-musician friend.
(2) friend, who is a scientist as well as musician.
(3) friend who is scientist and musician together.
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The sentence is already grammatically and structurally correct and does not need any improvement.
Question : A man bought a watch for a 12% discount. If he had bought it for a 24% discount, he would have got the watch for INR 2400 less. The marked price of the watch is:
Option 1: INR 30,000
Option 2: INR 22,500
Option 3: INR 20,000
Option 4: INR 25,000
Correct Answer: INR 20,000
Solution : Let the marked price of the watch be INR $x$. Selling price of watch with 12% discount = $\frac{100-12}{100}x$ = $\frac{88}{100}x$ Selling price of watch with 24% discount = $\frac{100-24}{100}x$ = $\frac{76}{100}x$ According to the question, $\frac{88x}{100}-\frac{76x}{100}=2400$ $⇒\frac{12x}{100}=2400$ $⇒x=20000$ Hence, the correct answer is
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