Staff Selection Commission Combined Higher Secondary Level Exam
Question : What is the least number that can be multiplied by 69120 to make it a perfect cube?
Option 1: 10
Option 2: 50
Option 3: 25
Option 4: 5
Correct Answer: 25
Solution : Prime factorization of $69120 = 2^9 × 3^3 × 5$ For the number to be a perfect cube, all the exponents must be multiples of 3, thus the above number must be multiplied by $5^2=25$ Hence, the correct answer is 25.
Question : Directions: Pointing towards a photo of a lady, Bhim said, “She is the only sister of my mother’s son”. How that lady is related to Bhim?
Option 1: Paternal Grandmother
Option 2: Niece
Option 3: Daughter
Option 4: Sister
Correct Answer: Sister
Solution : Following the instructions of the question, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, the lady is the sister of Bhim. Hence, the fourth option is correct.
Question : The following pie chart shows the percentage distribution of different fruits in a market. There are $15,000 \mathrm{~kg}$ of oranges in the market. Find the quantity of musk melon and watermelon together.
Option 1: 25,000 kg
Option 2: 5,000 kg
Option 3: 20,000 kg
Option 4: 10,000 kg
Correct Answer: 25,000 kg
Solution : Given: 15% of orange = 15000 kg ⇒ 1% = 1000 kg percentage distribution of musk melon and watermelon together = (20 + 5) = 25% So, 25% = 25 × 1000 = 25000 kg Hence, the correct answer is 25000 kg.
Question : What is the sum of all two-digit numbers which are divisible by 9?
Option 1: 565
Option 2: 535
Option 3: 585
Option 4: 475
Correct Answer: 585
Solution : Sum of an arithmetic series = $\frac{n}{2} × (\text{first term + last term})$ ⇒ Two digit numbers divisible by 9: 18, 27, 36,..., 99 (Total terms = 10) So, the sum = $\frac{10}{2} × (18 + 99) = 585$ Therefore, the sum of all two-digit
Question : If $\tan \theta=\frac{8}{15}$, then the value of $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}$ is:
Option 1: $\frac{1}{5}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{4}{5}$
Correct Answer: $\frac{3}{5}$
Solution : $\tan \theta=\frac{8}{15}=\frac{\text{Perpendicular}}{\text{Base}}$ $\therefore$ Hypotenuse = $\sqrt{8^2+15^2}=\sqrt{289}= 17$ So, $\sin \theta=\frac{8}{17}$ $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}=\sqrt{\frac{1-\frac{8}{17}}{1+\frac{8}{17}}}=\sqrt{\frac{\frac{9}{17}}{\frac{25}{17}}}=\sqrt{\frac{9}{25}}=\frac{3}{5}$ Hence, the correct answer is $\frac{3}{5}$.
Question : Directions: In a certain code language, N + V means N is the daughter of V, N – V means N is the father of V, N @ V means N is the wife of V, N × V means N is the son of V. If B + R × M – P, then how is B related to M?
Option 1: Sister
Option 2: Daughter
Option 3: Daughter's daughter
Option 4: Son's daughter
Correct Answer: Son's daughter
Solution : According to the given information, the family tree will be – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above, it is clear that B is the son's daughter (granddaughter) of M. Hence,
Question : The Seventy-First Amendment to the Indian Constitution included Konkani, Manipuri, and Nepali languages in the ___ Schedule.
Option 1: Eighth
Option 2: Sixth
Option 3: Fifth
Option 4: Seventh
Correct Answer: Eighth
Solution : The correct option is the Eighth.
In 1992, the Indian Constitution was amended to include the languages of Konkani, Manipuri, and Nepali in its Eighth Schedule. This change became effective on July 1st, 1992. The Indian Constitution's Eighth Schedule enumerates the official languages of
Question : Crop rotation helps to
Option 1: lessen use of pesticides
Option 2: eliminate parasites which have selective hosts
Option 3: yield more crops
Option 4: produce a greater choice of plant products
Correct Answer: eliminate parasites which have selective hosts
Solution : The correct answer is eliminate parasites which have selective hosts.
Crop rotation is an agricultural practice of growing different crops in successive seasons. It helps to restore the nutrients in the soil and also breaks the parasites and weeds life
Question : Select the most appropriate option to fill in the blank.
The CEO's _____ disregard for his employees' well-being led to high turnover and low morale in the company.
Option 1: calous
Option 2: callus
Option 3: callous
Option 4: calus
Correct Answer: callous
Solution : The third option is the correct answer.
The term callous refers to an emotionally insensitive and unfeeling attitude that conveys the CEO's lack of empathy and concern for the welfare of employees, which is evident from the high turnover and low morale in the workplace.
Question : Directions: In the following question, the sentence is given with a blank that is to be filled in with an appropriate word. Select the correct alternative out of the four. Being linked with nature brings joy and peace as it is the___ of the laws of Nature.
Option 1: dissent
Option 2: refusal
Option 3: acknowledgement
Option 4: sustenance
Correct Answer: acknowledgement
Solution : The word "acknowledgement" in this context means recognizing or accepting the laws of Nature. It suggests that finding joy and peace in being connected to nature comes from understanding and accepting the natural laws and processes, which can lead to a sense of harmony and
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