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Question : Study the given graph and answer the question that follows.
By what percent were the total exports of computers, by the company, in 2013, 2014, and 2018 less than the total production of computers from 2015 to 2017 (correct to one decimal place)?
Option 1: 28.8
Option 2: 32.6
Option 3: 43.1
Option 4: 30.1
Correct Answer: 30.1
Solution : Total export during 2013, 2014, and 2018 = 140 + 240 + 270 Total export during 2013, 2014, and 2018 = 650 Total production during ;2015, 2016, and 2017 = 300 + 290 + 340 Total production during 2015, 2016, and 2017 = 930 The
Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: 1. No bed is a chair. 2. All tables are beds. 3. No cupboard is a bed. Conclusions: I. No table is a chair. II. No cupboard is a table. III. Some beds are tables.
Option 1: Only conclusions I and III follow
Option 2: Only conclusion I follows
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
Correct Answer: All of the conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: No table is a chair – Because there is a direct negative relation between bed and chair and the table is
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
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