Question : What is the LCM of 120 and 450?
Option 1: 2400
Option 2: 1800
Option 3: 3600
Option 4: 4800
Correct Answer: 1800
Solution : 120 = 2 × 2 × 2 × 3 × 5
450 = 2 × 3 × 3 × 5 × 5
LCM of 120 and 450 is (2 × 2 × 2 × 3 × 3 × 5 × 5) = 1800
i.e. 1800 is the least common multiple of 120 and 450.
Hence, the correct answer is 1800.
Answer laterQuestion : The Civil Disobedience Movement was launced by Mahatma Gandhi in
Option 1: 1928
Option 2: 1930
Option 3: 1931
Option 4: 1922
Correct Answer: 1930
Solution : The correct option is - 1930
The Civil Disobedience Movement was launched by Mahatma Gandhi on April 6, 1930. This movement was a nonviolent protest against the British colonial government's salt monopoly and other oppressive policies. As part of the movement, Gandhi and his followers defied the Salt Laws by marching to the Arabian Sea to make their own salt. The movement aimed to exert economic and political pressure on the British authorities and played a significant role in India's struggle for independence.
Question : Which of the following statements is true?
Option 1: A Primary key is also a candidate key.
Option 2: Each relation has at least one foreign key.
Option 3: Foreign keys can't have null values.
Option 4: A Primary key is also an alternate key.
Correct Answer: A Primary key is also a candidate key.
Solution : The correct answer is A Primary key is also a candidate key.
In a relational database, a candidate key is a set of one or more columns that can uniquely identify a row in a table. A primary key is a specific candidate key that is chosen to uniquely identify rows within a table.
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'No improvement'.
The place was not cold only and also damp.
Option 1: No improvement
Option 2: only cold not also
Option 3: not only cold but also
Option 4: not only cold and both
Correct Answer: not only cold but also
Solution : The correct choice is the third option.
Explanation: The original sentence, "The place was not cold only and also damp," is grammatically incorrect. We would use the correlative conjunctions "not only...but also" to link two similar ideas ("cold" and "damp"). This structure helps to emphasise both qualities of the place.
Therefore, the revised sentence is: "The place was not only cold but also damp."
Question : Directions: Select the option figure that is embedded in the given figure (rotation is NOT allowed).
Option 1: 
Option 2: 
Option 3: 
Option 4: 
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the second option figure is embedded in the given question figure.
Hence, the second option is correct.
Question : In $\triangle PQR, PQ=QR$ and $O$ is an interior point of $\triangle PQR$ such that $\angle OPR=\angle ORP$.
Consider the following statements:
(i) $\triangle POR$ is an isosceles triangle.
(ii) $O$ is the centroid of $\triangle PQR$.
(iii) $\triangle PQO$ is congruent to $\triangle RQO$.
Which of the above statements is/are correct?
Option 1: Only (i) and (ii)
Option 2: Only (i) and (iii)
Option 3: Only (ii) and (iii)
Option 4: Only (ii)
Correct Answer: Only (i) and (iii)
Solution : 
Given: In $\triangle PQR, PQ=QR$ and $O$ is an interior point of $\triangle PQR$ such that $\angle OPR=\angle ORP$.
Since $PQ = QR$, so $\triangle PQR$ is an isosceles triangle.
From the given data we cannot say that $O$ is the centroid of the $\triangle PQR$.
Also, $PQ=QR, OP=OR$ and $OQ=OQ$
So, $\triangle PQO$ and $\triangle RQO$ are congruent.
Hence, the correct answer is Only (i) and (iii).
Question : Direction: Study the following bar diagram carefully and answer the question. The bar graph given below shows the foreign exchange reserves of a country (in million US dollars) from 1991– 1992 to 1998– 1999.
The percentage increase in the foreign exchange reserves in 1997– 98 over 1993– 94 is:
Option 1: 100%
Option 2: 150%
Option 3: 200%
Option 4: 120%
Correct Answer: 100%
Solution : The foreign exchange reserves in 1997–1998 were $5040$ million, as seen in the bar graph.
2520 million was the amount of foreign exchange reserves in 1993–94.
Change in the number of reserves = $5040 - 2520= 2520$
Percentage increase = $\frac{\text{Difference}}{\text{The foreign exchange reserves in 1993–1994}} \times 100$.
= $\frac{2520}{2520}\times 100=100$%
Hence, the correct answer is 100%.
Question : Select the most appropriate alternative to replace the underlined segment in the given sentence.
They met yesterday, haven’t they?
Option 1: don’t they?
Option 2: isn’t it?
Option 3: didn’t they?
Option 4: did they?
Correct Answer: didn’t they?
Solution : The third option is the correct answer.
The sentence is a statement followed by a question tag. In English, when the main clause is in the past tense, the tag question should also be in the past tense. So, "didn't they?" is the correct form.
A question tag is a very short clause at the end of a statement that changes the statement into a question. A question tag is formed by inverting the subject and verb of a statement.
Therefore, the correct sentence should be: "They met yesterday, didn't they?"
Question : The Vice-President is:
Option 1: A member of Lok Sabha
Option 2: A member of Rajya Sabha
Option 3: A member of either House
Option 4: Not a member of the Parliament
Correct Answer: Not a member of the Parliament
Solution : The correct option is Not a member of the Parliament.
The Vice-President of India is not a member of either house of Parliament. The Vice-President is a separate constitutional office and does not sit in the Rajya Sabha (Council of States) or the Lok Sabha (House of People). Instead, the Vice-President's primary responsibility is to preside over the Rajya Sabha and undertake other constitutionally mandated duties. The Vice-President is chosen by an electoral college comprised of members of both houses of Parliament, as well as representatives of state and union territory legislatures. Once elected, the Vice-President's major role is to serve as the Rajya Sabha's ex-officio Chairman.
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. But he seems to have become weary when it came to the ears.
B. The result is that we spend all our hours hankering after something unattainable, namely silence.
C. God constructed the human body with a lot of forethought and solicitude.
D. He left them as the most vulnerable part of a human being.
Option 1: DABC
Option 2: CDBA
Option 3: CADB
Option 4: BCDA
Correct Answer: CADB
Solution : The correct choice is the third option.
The logical flow of sentences are as follows:
- In sentence C, the idea is introduced that God constructed the human body with forethought and solicitude.
- Sentence A then brings attention to a potential vulnerability as it mentions that the person seems to have become weary, particularly when it comes to the ears.
- Following this, sentence D explains that he left the ears as the most vulnerable part of a human being.
- Finally, sentence B provides the result or consequence of this vulnerability, stating that individuals spend their time hankering after something unattainable, namely silence.
The flow of information follows a logical sequence, starting with the construction of the human body, addressing a vulnerability, and concluding with the consequence of that vulnerability.
Therefore, the correct order is CADB.
