1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
Question : ABCD is a square inscribed in a circle of radius $r$. Then the total area (in square units) of the portions of the circle lying outside the square is:
Option 1: $\pi (r^{2}-4)$
Option 2: $2\pi (r ^{2}-1)$
Option 3: $\pi^{2} r(r-7)$
Option 4: $r^{2}(\pi -2)$
Correct Answer: $r^{2}(\pi -2)$
Solution :
Let the radius of the circle be $r$ units. Area of circle = $\pi r^2$ Diagonal of ABCD = BD = $2r$ units Area of square = $\frac{1}{2}\times \text{(BD)}^2$ = $\frac{1}{2}\times 4r^2$ = $2r^2$ Required difference = Area of the circle – Area of
Question : If $a^{3}+\frac{1}{a^{3}}=2$, then the value of $\frac{a^{2}+1}{a}$ is ($a$ is a positive number):
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : Given: $a^{3}+\frac{1}{a^{3}}=2$ ⇒ $a^{3}+\frac{1}{a^{3}}=2$ ⇒ $a^{6}+1 =2a^3$ ⇒ $a^{6}-2a^3+1=0$ ⇒ $(a^3-1)^2=0$ $a = 1$, the above equation is satisfied. Now putting $a = 1$, in the equation, we get $\frac{a^{2}+1}{a} = \frac{1^{2}+1}{1} = 2$ Hence, the correct answer is 2.
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will make the series logically complete. AEI_JL_QS_SS_ZXU
Option 1: BLSN
Option 2: SSUU
Option 3: SDMA
Option 4: ONSB
Correct Answer: ONSB
Solution : Given: AEI_JL_QS_SS_ZXU
To fill the series we have to divide the series – AEI_/ JL_Q / S_SS / _ZXU Let's check each option – First option: BLSN; AEIB / JLLQ / SSSS / NZXU (No pattern has been
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 1, 2, 6, 24, 120, ?
Option 1: 360
Option 2: 720
Option 3: 600
Option 4: 640
Correct Answer: 720
Solution : Given: 1, 2, 6, 24, 120, ?
Multiply the previous term of the series by consecutive natural numbers from 2 onwards. 1 × 2 = 2; 2 × 3 = 6; 6 × 4 = 24; 24 × 5 = 120; 120 × 6 =
Question : 3 men or 5 women can do a work in 57 days. In how many days can 9 men and 4 women do that same work?
Option 1: 16 days
Option 2: 18 days
Option 3: 14 days
Option 4: 15 days
Correct Answer: 15 days
Solution : According to the question, 3 men = 5 women 1 man = $\frac{5}{3}$ women 9 men = $9 \times \frac{5}{3}$ women = 15 women Now the total work is done by = 15 women and 4 women = 19 women Let the total work
Question : Select the option that expresses the given sentence in indirect speech. “So help me heaven!”, the man cried, “I shall never lie again.”
Option 1: The man cries out to heaven to help him not to lie again ever.
Option 2: The man called upon heaven to witness his resolve that he would never lie again.
Option 3: The man requested heaven to help him and see that he lie again.
Option 4: The man called heaven and ordered to help him and see to it that she never lies again.
Correct Answer: The man called upon heaven to witness his resolve that he would never lie again.
Solution : The second option is correct.
Narration Conversion:
Question : Directions: In the following question a word is followed by four other words, one of which can be formed by using the letters of the given word. Find this word. ENCOURAGEMENT
Option 1: GAME
Option 2: TEAR
Option 3: NECK
Option 4: MEAT
Correct Answer: NECK
Solution : Given: ENCOURAGEMENT
Now, let's compare all the option words with the word ENCOURAGEMENT – First option: GAME; All the letters of GAME are present in the word ENCOURAGEMENT. Second option: TEAR; All the letters of TEAR are present in the word ENCOURAGEMENT. Third option: NECK;
Question : In 2001, the price of a building was 80% of its original price. In 2002, the price was 60% of its original price. By what percentage did the price decrease?
Option 1: 15%
Option 2: 20%
Option 3: 25%
Option 4: 30%
Correct Answer: 25%
Solution : Change in price = (80 – 60) = 20% The base price of that year = 80% Required Percentage $=\frac{20}{80} × 100 = 25\%$ Hence, the correct answer is 25%.
Question : From which place did the Revolt of 1857 start?
Option 1: Agra
Option 2: Meerut
Option 3: Kanpur
Option 4: Delhi
Correct Answer: Meerut
Solution : The correct option is Meerut.
The town of Meerut, which is situated in the state of Uttar Pradesh in northern India, was the starting point of the Revolt of 1857, sometimes referred to as the Indian Rebellion of 1857 or the First War of Independence.
Question : The ____________ is an Act of the Parliament of the United Kingdom that partitioned British India into two new independent dominions of India and Pakistan in 1947.
Option 1: Industrial Disputes Act
Option 2: Government of India Act
Option 3: Indian Independence Act
Option 4: Rowlatt Act
Correct Answer: Indian Independence Act
Solution : The correct option is the Indian Independence Act.
On July 18, 1947, the Indian Independence Act, an act of the British Parliament, was ratified by the monarch. It was essential to the decolonization of British India and the establishment of India and Pakistan
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update