Staff Selection Commission Combined Graduate Level Exam
Question : Three sets of 40, 50, and 60 students appeared for an examination and the pass percentages were 100, 90, and 80, respectively. The pass percentage of the whole set is:
Option 1: $88\frac{2}{3}\%$
Option 2: $84\frac{2}{3}\%$
Option 3: $88\frac{1}{3}\%$
Option 4: $84\frac{1}{3}\%$
Correct Answer: $88\frac{2}{3}\%$
Solution : Given: Three sets of 40, 50, and 60 students appeared for an examination. Total students = 40 + 50 + 60 = 150 The pass percentages were 100, 90, and 80, respectively. So, passed students in 1st set = 40 passed students in 2nd set
Question : Directions: In the following question, select the related number from the given alternatives. 100 : 102 :: 100000 : ?
Option 1: 105
Option 2: 104
Option 3: 1003
Option 4: 1004
Correct Answer: 105
Solution : Given: 100 : 102 :: 100000 : ?
Like, 100 : 102; 102 = 100 Let's check from the options – First option: 105; 105 = 100000 Second option: 104; 104 = 10000 ≠
Question : On the tributary of which river has Rihand Dam been constructed ?
Option 1: Chambal
Option 2: Yamuna
Option 3: Son
Option 4: Periyar
Correct Answer: Son
Solution : The correct option is Son.
The Rihand Dam, also known as Govind Ballabh Pant Sagar, has been constructed on the tributary of the Son River. The Rihand River, which is dammed by the Rihand Dam, is a tributary of the Son River. The Son River
Question : Akbar's tomb is located at which of the following places?
Option 1: Sikandra
Option 2: Agra
Option 3: Fatehpur Sikri
Option 4: Allahabad
Correct Answer: Sikandra
Solution : The correct answer is Sikandra.
A significant Mughal architectural achievement, the Tomb of Akbar, was constructed in Sikandra between 1605 A.D. and 1613 A.D. The mortal remains of Akbar, the greatest Mughal Emperor, are kept there. Emperor Akbar personally began building this monument in 1600.
Question : Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is:
Option 1: 22 : 25
Option 2: 19 : 25
Option 3: 23 : 25
Option 4: 18 : 25
Correct Answer: 22 : 25
Solution : Given: Two numbers are, respectively, 10% and 25% more than the third number. Let the third number be $x$. So, the first number = $x+x×\frac{10}{100}$ = $\frac{11x}{10}$ and the second number = $x+x×\frac{25}{100}$ = $\frac{5x}{4}$ Now, the required ratio = $\frac{11x}{10}:\frac{5x}{4}$ = 22
Question : What is the value of $\sec^2 54^{\circ}-\cot 2 36^{\circ}+\frac{3}{2} \sin^2 37^{\circ} \times \sec^2 53^{\circ}+\frac{2}{\sqrt{3}} \tan 60^{\circ}$?
Option 1: $\frac{5}{2}$
Option 2: $\frac{9}{2}$
Option 3: $\frac{3}{2}$
Option 4: $\frac{7}{2}$
Correct Answer: $\frac{9}{2}$
Solution : Given: $\sec^2 54^{\circ}-\cot ^2 36^{\circ}+\frac{3}{2}\sin^2 37^{\circ}\times \sec^2 53^{\circ}+\frac{2}{\sqrt{3}}\tan60^{\circ}$ $=\sec^2 (90^{\circ}-36^{\circ})-\cot^2 36^{\circ}+\frac{3}{2}\sin^2 (90^{\circ}-53^{\circ})\times \sec^2 53^{\circ}+\frac{2}{\sqrt{3}}×\sqrt3$ $=\operatorname{cosec}^2 36^{\circ}-\cot^2 36^{\circ}+\frac{3}{2}\cos^2 53^{\circ}\times \sec^2 53^{\circ}+2$ $=1+\frac{3}{2}\cos^2 53^{\circ}\times \frac{1}{\cos^2 53^{\circ}}+2$ ($\because \operatorname{cosec}^2 \theta-\cot ^2 \theta = 1$ ) $=1+\frac{3}{2}+2$ $=\frac{2+3+4}{2}$ $=\frac{9}{2}$ Hence, the correct answer is $\frac{9}{2}$.
Question : Select the most appropriate ANTONYM of the word 'identify' from the given sentence:
My pet dog can classify and identify our family friends easily and doesn’t overlook anonymous and unknown ones.
Option 1: anonymous
Option 2: spot
Option 3: classify
Option 4: overlook
Correct Answer: overlook
Solution : The correct solution is the fourth option.
Explanation: In the given sentence, the word identify is used in the context of recognising or acknowledging family friends. The antonym, in this case, would be overlook meaning to fail to notice or acknowledge. It contrasts with
Question : Direction: If CUSTOM is written as UCTSMO, then how PARENT will be written in the same code?
Option 1: ERAPTN
Option 2: TNERAP
Option 3: RAPTNE
Option 4: APERTN
Correct Answer: APERTN
Solution : Given:
CUSTOM is written as UCTSMO.
In the given code, the letters in the word are grouped in pairs, and within each pair, the letters are reversed.
Similarly, applying the same pattern to the word PARENT, we have –
PARENT will be written as APERTN.
Question : How many of the following numbers are divisible by 3 but not by 9? 5826, 5964, 6039, 6336, 6489, 6564, 6867, and 6960
Option 1: 5
Option 2: 3
Option 3: 4
Option 4: 6
Correct Answer: 4
Solution : Given: 5826, 5964, 6039, 6336, 6489, 6564, 6867, and 6960. We know, a number is divisible by 3 if the sum of the digits of the number is divisible by 3. Also, a number is divisible by 9 if the sum of the digits of
Question : Husk of a coconut is made of ______ tissue.
Option 1: collenchyma
Option 2: xylem
Option 3: sclerenchyma
Option 4: parenchyma
Correct Answer: sclerenchyma
Solution : The correct answer is sclerenchyma.
The husk of a coconut is made primarily of a type of tissue called sclerenchyma. It is a specialised type of plant tissue known for its hardness and rigidity, which is due to the presence of thick, lignified (woody) cell
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