1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
Question : If $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$, where $2 \theta$ is an acute angle, then the value of $\theta$ is:
Option 1: 18°
Option 2: 36°
Option 3: 30°
Option 4: 42°
Correct Answer: 42°
Solution : Given, $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$ ⇒ $\tan 2 \theta=\tan \left(90^{\circ}-\theta+36^{\circ}\right)$ ⇒ $2\theta=126^{\circ}-\theta$ ⇒ $3\theta=126^{\circ}$ $\therefore \theta=42^{\circ}$ Hence, the correct answer is 42°.
Question : The World Trade Organisation was formed in:
Option 1: 1991
Option 2: 1995
Option 3: 1997
Option 4: 1999
Correct Answer: 1995
Solution : The correct answer is 1995.
An intergovernmental body called the World Trade Organisation governs and promotes global trade. On April 15, 1994, 23 countries signed the Marrakesh Agreement, which established the World Trade Organisation (WTO) as of January 1, 1995. Geneva, Switzerland, the location
Question : Directions: In the following question, select the related number from the given alternatives. 42 : 56 :: 110 : ?
Option 1: 18
Option 2: 132
Option 3: 136
Option 4: 140
Correct Answer: 132
Solution : Given: 42 : 56 :: 110 : ?
7 × (7 – 1) = 7 × 6 = 42 7 × (7 + 1) = 7 × 8 = 56 Similarly, 11 × (11 – 1) = 11 × 10 = 110 11 × (11
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. Upgrading the higher education sector, especially in terms of patents filed and cutting-edge research output, is (1)______ in improving India’s global ranking. Our sustainable (2)______ development depends on human resources. A quality higher education base is essential to reap the full benefits of our demographic dividend. In higher education, the strategies of the 12th plan (3)______ on technical education, distance learning, quality research, infrastructure, faculty, and curriculum content. (4)______ efforts of the government departments and the private sector are needed to (5)______ the plan’s educational goals. Select the most appropriate option to fill in the blank number 5.
Option 1: remain
Option 2: realise
Option 3: conclude
Option 4: conduct
Correct Answer: realise
Solution : The correct choice is the second option.
Realise in this context means to achieve or make something happen. It indicates that the joint efforts of government departments and the private sector are necessary to achieve the educational goals outlined in the plan.
Explanations of the
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs except one. Find that odd number pair.
Option 1: 15 : 34
Option 2: 1 : 6
Option 3: 7 : 18
Option 4: 18 : 42
Correct Answer: 18 : 42
Solution : Let's check the options – First option: 15 : 34; 15 × 2 = 30; 30 + 4 = 34 Second option: 1 : 6; 1 × 2 = 2; 2 + 4 = 6 Third option: 7 : 18; 7 × 2
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
I left my job because I did not (agree to) the company's appraisal policies.
(1) agree about
(2) agree with
(3) agree on
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The appropriate answer is the second option because 'agree with' should be used instead of 'agree to' which means 'to accept a suggestion' and makes the sentence contextually correct.
Therefore, the correct statement should be "I left my job because I did not agree with
Question : If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers.
Option 1: 4
Option 2: 8
Option 3: 1
Option 4: 2
Solution : Given: The sum of squares of two numbers = 12 Product of the numbers = 4 Let the numbers be $a$ and $b$. ⇒ $a^2+b^2=12$ and $ab = 4$ We know, $(a-b)^2=a^2+b^2-2ab$ ⇒ $(a-b)^2=12-2\times4$ ⇒ $(a-b)^2=12-8$ ⇒ $(a-b)^2=4$ ⇒ $a-b=\sqrt4=2$ Hence, the correct answer is
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution required'.
It is reported that she has win a prize money of ten lakhs at a reality show.
Option 1: she will won
Option 2: she had win
Option 3: No substitution required
Option 4: she has won
Correct Answer: she has won
Solution : The correct choice is the fourth option.
The original sentence contains a verb-tense error. In this context, the past participle form has won should be used to indicate that she has already won the prize money.
Therefore, the correct sentence is: It is
Question :
Directions: In the following question, select the related word from the given alternatives. Jailor : Prison :: Curator : ?
Option 1: Cell
Option 2: Museum
Option 3: Warden
Option 4: Cure
Correct Answer: Museum
Solution : Given: Jailor : Prison :: Curator : ?
The jailor is the custodian of prisoners in prison. Similarly, the curator is the custodian of the collections in a museum.
Hence, the second option is correct.
Question : A shopkeeper bought a certain number of apples for Rs. 3,600. He sold one-fifth of them at a loss of 10%, one-fourth of the remaining apples at a loss of 5%, and two-thirds of the rest at a profit of 15%. At what price (in Rs.) should he sell the remaining apples to earn a profit of 27% overall?
Option 1: 1,548
Option 2: 1,584
Option 3: 1,845
Option 4: 1,864
Correct Answer: 1,584
Solution : A shopkeeper bought a certain number of apples for Rs. 3,600. He wants 27% profit overall. So, the overall selling price for the full set must be $\frac{3600 × 127}{100} = 4572$ Let's assume he has 100 apples. An apple costs $\frac{3600}{100} = 36$ He
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
