Staff Selection Commission Combined Graduate Level Exam
Question : $5^{71}+5^{72}+5^{73}+5^{74}+5^{75}$ is divisible by which of the following numbers?
Option 1: 71
Option 2: 69
Option 3: 89
Option 4: 73
Correct Answer: 71
Solution : $5^{71}+5^{72}+5^{73}+5^{74}+5^{75}$ $=5^{71}(1+5+5^{2}+5^{3}+5^{4})$ $=5^{71}(1+5+25+125+625)$ $=5^{71}\times 781$ $=5^{71}\times 11\times 71$ (781 is divisible by 11) It is clearly, that $5^{71}+5^{72}+5^{73}+5^{74}+5^{75}$ is divisible by 71. Hence, the correct answer is 71.
Question : Directions: A # B means A is the brother of B, A @ B means A is the daughter of B, A & B means A is the husband of B, and A % B means A is the wife of B. If G % M # L @ P & C @ B, then how is L related to B?
Option 1: Daughter
Option 2: Granddaughter
Option 3: Sister
Option 4: Daughter-in-law
Correct Answer: Granddaughter
Solution : Given: A # B means A is the brother of B. A @ B means A is the daughter of B. A & B means A is the husband of B. A % B means A is the wife of B.
As per the given
Question : Ashoka appointed ______ to solve the social problems in his region.
Option 1: Samaharta
Option 2: Nyayadhish
Option 3: Amatya
Option 4: Dhamma Mahamatta
Correct Answer: Dhamma Mahamatta
Solution : The correct answer is Dhamma Mahamatta.
Ashoka appointed the dhamma mahamatta between 268 and 232 BCE. He proclaimed Buddhism to be the official religion in or about 260 BC. He instituted a body of officials called the Dhamma Mahamattas, whose duties included informing the
Question : A cricketer whose bowling average was 12.4 runs per wicket takes 5 wickets for 22 runs in a match, thereby decreasing his average by 0.4. The number of wickets taken by him before this match was:
Option 1: 78
Option 2: 87
Option 3: 95
Option 4: 105
Correct Answer: 95
Solution : Given: Bowling average is 12.4. Let the number of wickets taken by him before the match be $x$. The total runs = $12.4x$ The runs scored including this match are given by $12.4x + 22$ with an average of 12. According to the question, ⇒
Question : If the cost price of 20 books is the same as the selling price of 25 books, then the loss percentage is:
Option 1: 20%
Option 2: 25%
Option 3: 22%
Option 4: 24%
Correct Answer: 20%
Solution : Let each book's cost price (CP) be Rs. $x$. Selling price (SP) of 25 books = CP of 20 books = Rs. 20$x$ CP of 25 books = Rs. 25$x$ ⇒ Loss on 25 books = 25$x$ – 20$x$ = Rs. 5$x$ So, loss %
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. They will go to bed / early since they / have to get up / at five on the morning.
Option 1: have to get up
Option 2: at five on the morning
Option 3: They will go to bed
Option 4: early since they
Correct Answer: at five on the morning
Solution : The correct option is the second option.
The phrase "at five on the morning" contains a grammatical error. The correct expression is "at five in the morning." The preposition "in" is used to indicate the time within a specific part of
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Why (1) / on earth (2) has he not come? (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
This is an interrogative sentence that uses the expression on earth to emphasise the question. The sentence is grammatically correct and conveys the intended meaning without any errors.
Question : Human Development Index (HDI) is an aggregate measure of progress in which of the three dimensions?
Option 1: Health, Education, Income
Option 2: Food security, Employment, Income
Option 3: Agriculture, Industry, Services
Option 4: Height, weight, colour
Correct Answer: Health, Education, Income
Solution : The correct answer is Health, Education and Income.
The Human Development Index (HDI) is a composite measure of progress that considers three characteristics of Human well-being. These aspects are as follows: Health, Education, and living standards.
Question : International Non-Violence Day is observed on:
Option 1: 15 August
Option 2: 31 October
Option 3: 2 October
Option 4: 14 November
Correct Answer: 2 October
Solution : The correct answer is 2 October.
On October 2, the birthday of Mahatma Gandhi, the leader of the Indian freedom movement and the creator of the non-violent philosophy and tactic, is honoured as the International Day of Non-Violence.
Question : With which of the following states is the folk dance Tarangmel associated?
Option 1: Goa
Option 2: Madhya Pradesh
Option 3: Tamil Nadu
Option 4: Kerala
Correct Answer: Goa
Solution : The correct option is Goa.
Tarangmel is Goa's vibrant and youthful dance. The Tarangmel dance is typically performed during the Dussehra and Holi festivities. Young girls and boys flood the streets, waving flags and streamers. This gathering of young people invites everyone else to
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