All Questions

Staff Selection Commission Combined Graduate Level Exam

Follow
Showing 5191 - 5200 out of 16717 Questions
168 Views

Question : R, S, and T can finish a work in 20,15, and 10 days, respectively. R works on all days and S and T work on alternate days with T starting the work on the first day. In how many days is the work finished?

Option 1: $\frac{61}{7}$

Option 2: $\frac{50}{7}$

Option 3: $\frac{52}{7}$

Option 4: $\frac{57}{8}$

Team Careers360 21st Jan, 2024

Correct Answer: $\frac{52}{7}$


Solution : Given: R alone can complete a task in 20 days.
T alone can complete the same task in 15 days.
S alone can complete the same task in 10 days.
Total work is LCM of 20,15 and 10 = 60 units
So, the efficiency of

20 Views

Question : If $x-\frac{1}{x}=5, x \neq 0$, then what is the value of $\frac{x^6+3 x^3-1}{x^6-8 x^3-1} ?$

Option 1: $\frac{3}{8}$

Option 2: $\frac{13}{12}$

Option 3: $\frac{4}{9}$

Option 4: $\frac{11}{13}$

Team Careers360 20th Jan, 2024

Correct Answer: $\frac{13}{12}$


Solution : Given: $x-\frac{1}{x}=5$
Cubing both sides, we get
$(x-\frac{1}{x})^3=5^3$
⇒ $x^3-\frac{1}{x^3}-3(x\times\frac{1}{x})(x-\frac{1}{x})=125$
⇒ $x^3-\frac{1}{x^3}-3\times5=125$
⇒ $x^3-\frac{1}{x^3}=140$
Thus,$\frac{x^6+3 x^3-1}{x^6-8 x^3-1}$
Taking $x^3$ as common, we get:
= $\frac{x^3+3-\frac{1}{x^3}}{x^3-8-\frac{1}{ x^3}}$
= $\frac{x^3-\frac{1}{x^3}+3}{x^3-\frac{1}{ x^3}-8}$
Putting the values, we get:
= $\frac{140+3}{140-8}$
= $\frac{143}{132}$
= $\frac{13}{12}$
Hence, the correct answer is

57 Views

Question : A sold a horse to B for Rs. 4800, losing 20%. B sells it to C at a price that would have given A a profit of 15%. B's gain is:

Option 1: Rs. 1,800

Option 2: Rs. 1,900

Option 3: Rs. 2,000

Option 4: Rs. 2,100

Team Careers360 24th Jan, 2024

Correct Answer: Rs. 2,100


Solution : Selling price by A = Rs. 4,800
Loss = 20% of Cost price
Selling price = Cost price – loss
Rs. 4,800 = 80% of Cost price
⇒ Cost price by A = $\frac{4800}{0.8}$ = Rs. 6,000
Profit = 15% of Cost price by

17 Views

Question : What is the product formed when sodium Bicarbonate is heated strongly?

Option 1: Sodium carbonate

Option 2: Sodium hydroxide

Option 3: Sodium peroxide

Option 4: Sodium monoxide

Team Careers360 18th Jan, 2024

Correct Answer: Sodium carbonate


Solution : The correct option is Sodium carbonate.

When sodium bicarbonate (baking soda) is heated to high temperatures, it undergoes a chemical reaction and decomposes into three separate compounds: sodium carbonate (soda ash), water, and, carbon dioxide gas. This reaction's chemical equation is 2NaHCO3

61 Views

Question : A thief steals a bike at 12:30 p.m. and drives it at 48 km/hr. But the theft is discovered after half an hour. The bike owner starts to chase him on another bike at 58 km/hr. The thief will be caught at ________.

Option 1: 3:40 p.m.

Option 2: 3:54 p.m.

Option 3: 3:10 p.m.

Option 4: 3:24 p.m.

Team Careers360 21st Jan, 2024

Correct Answer: 3:24 p.m.


Solution : Speed of thief = 48 km/hr
Distance travelled by him in 30 mins = $48\times \frac{30}{60}=24$ km
Owner speed = 58 km/hr
Their relative speed = 58 – 48 = 10 km/hr
Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{24}{10}=2.4\ \text{hours}$ = 2 hours 24 minutes
The

65 Views

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.

The civil service is an integral part of the government and plays a crucial role in implementing policies and programmes that benefit the public. The (1)______ of civil services is to ensure that the government is able to provide services to citizens in a timely and effective manner. Civil servants are responsible for a wide range of tasks, including (2)_______ the implementation of policies and programmes, managing budgets, and providing advice to government officials. In order to perform their duties effectively, civil servants must have a deep understanding of government processes, as well as strong (3)_______ and analytical skills. They must also be able to communicate effectively with a wide range of stakeholders, including government officials, citizens, and other organisations. To become a civil servant, individuals typically need to pass a rigorous exam and undergo extensive training. Once they are appointed, civil servants are expected to abide by a code of conduct that emphasises impartiality, integrity, and (4)_________ in carrying out their duties. Despite the challenges and demands of civil service work, it can be a highly rewarding career path, providing opportunities to make a positive impact on society and improve the lives of citizens. Whether working in a local, state, or federal government agency, civil servants play a vital role in (5)__________ democratic values and promoting the public good.
Select the most appropriate option to fill in the blank no. 1.

Option 1: mandate

Option 2: recommendation

Option 3: defunct

Option 4: function

Team Careers360 18th Jan, 2024

Correct Answer: function


Solution : The correct choice is the fourth option.

"Function" is used here to describe the purpose or role of civil services.

The correct statement is: "The function of civil services is to ensure that the government is able to provide services to citizens in a timely

18 Views

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".

Let us vie to one another in doing good.

(1) To one another

(2) Let us vie

(3) in doing good.

(4) No Error

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 22nd Jan, 2024

Correct Answer: (1)


Solution : The error lies in the first option.

The word vie means to compete eagerly with someone. To make this sentence grammatically accurate, vie should be followed by the preposition with. The term vie signifies cooperative competition, which is non-aggressive and, in this context, means friendly

The question have been saved in answer later, you can access it from your profile anytime. Access now