If the number 23P62971335 is divisible by the smallest odd composite number, then what is the value of P ?

The percentage of loss when an article is sold at Rs. 500 is the same as that of the profit% when it is sold at Rs. 700. Find the percentage of profit or loss on the article.

x³ + x² + 16 is exactly divisible by x, where x is a positive integer. The number of all such possible values of x is:

A man cycles at the speed of 8 km/hrs and reaches office at 11 am and when he cycles at the speed of 12 km/hrs, he reaches office at 9 am. At what speed should he cycle so that he reaches his office at 10 am?

If one of the diagonals of a square is along the line x = 2y and one of its vertices is A (3, 0), then its side through this vertex is given by the equations:

The simple and compound interest that can be earned in two years at the same rate on a certain sum is Rs. 1000 and Rs. 1040 respectively. What is the rate (percent per annum) of interest?

Two trains for Palwal leave Kanpur at 10 am and 10:30 am and travel at the speeds of 60 km/h and 75 km/h respectively. After how many kilometers from Kanpur will the two trains be together?

A room contains 3 red, 5 green and 4 blue chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is blue?

Find the average of first three odd multiples of 9.

What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?

By selling an article for Rs. 5355, a garment dealer incurs a loss of 15%.At what price should he sell it, so that he earns a profit of 15%?

The set O of odd positive integers less than 10 can be expressed by _______.

A train x running at 74km/h crosses another train y running at 52km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of y (in m)?

If p is the length of the perpendicular from the origin on the line 

Two tangents AP and AQ, touch the circle at P and Q respectively. S is a point somewhere at the opposite bigger arc of the circle. OA is 2 times of the radius of the circle. Find the value of sin ∠PSQ.

​​​​​​​

Improve the bracketed part of the sentence.

After a long lunch-break, business (resurfaces) as usual.

Improve the bracketed part of the sentence.

It is easy to see why cities grew (on the river banks).

Improve the bracketed part of the sentence.

You must remember (meeting) the manager tomorrow.

Improve the bracketed part of the sentence.

His brother (never has) and never will be dependable.

Improve the bracketed part of the sentence.

They are (migratory) citizens from another country.

Improve the bracketed part of the sentence.

The whole country is disappointed (over) the defeat of the cricket team.

In each of the following questions a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer choices given, to make the passage complete and coherent (coherent means logically complete and sound).

India’s tax-to-GDP ratio is far lower than the 21 per cent average of its emerging market peers; its public spending-to-GDP ratio is also the lowest among BRICS nations. _________________________________. About 85 per cent of the economy is outside the tax net. Even among those who pay taxes, the number of individuals who earn more than Rs.1 crore a year or pay tax in the 30 per cent tax bracket is unrealistically low.

In each of the following questions a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer choices given, to make the passage complete and coherent (coherent means logically complete and sound).

For Ms. Merkel, walking the tightrope between her principles and maintaining a good relationship with an important ally is a challenge. Germany and the U.S. have historically shared values, but the current U.S. President has his own. At the G7 summit, six nations reaffirmed their commitment to the Paris climate pact; the U.S. refrained. Mr. Trump’s immigration order is the antithesis of Germany’s immigration policy. ____________________________. In a nutshell, Mr. Trump’s world view is everything that Ms. Merkel’s is not.

In each of the following questions a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer choices given, to make the passage complete and coherent (coherent means logically complete and sound).

After the categorical verdict of the Delhi High Court that the Capital is a Union Territory, it was quite clear that any decision made by Chief Minister Arvind Kejriwal without the Lieutenant Governor’s approval will be rendered illegal. ________________________________. The appointments, made in March 2015, suffered from multiple legal infirmities. Apart from the lack of the LG’s concurrence, it raised the question of whether it was an ‘office of profit’ under the government, something legislators are barred from holding. The penalty stipulated in the Constitution for a legislator holding an office of profit is disqualification.

In the question below, there are two statements. Each statement consists of two blanks. You have to choose the option which provides the correct set of words that fit both the blanks in both the statements appropriately and in the same order making them meaningful and grammatically correct.

A hoax is a falsehood deliberately _______ to masquerade as the ________.  The _______ claims with regard to the nature of the building destroyed in Syria have no credibility, especially since they were made only to conceal the ________.

In the question below, there are two statements. Each statement consists of two blanks. You have to choose the option which provides the correct set of words that fit both the blanks in both the statements appropriately and in the same order making them meaningful and grammatically correct.

A) Read all the documents carefully, lest your money should ____________ if you invest in one of those ____________ schemes.

B) The counterfeiters are busy devising ways to ____________ once their _____________ design effectively produces result.

In the question, the word at the top is used in different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.

COOK

In the question, the word at the top is used in different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.

PLAY

In the question, the word at the top is used in different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.

READ

In the question, the word at the top is used in different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.

SLEEP

In the question, the word at the top is used in different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.

WRITE

In the question, the word at the top is used in different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.

RUN

Choose the most appropriate phrase that fits in the blank given below.

I’m _________ you to help with the charity event.

Choose the most appropriate phrase that fits in the blank given below.

I don't understand how he could _________ his girlfriend over something so silly.

Choose the most appropriate phrase that fits in the blank given below.

Why are people crowding around? What's__________?

Choose the most appropriate phrase that fits in the blank given below.

The teacher will _______ a new chapter tomorrow.

Select the most appropriate option to complete the paragraph.

Developing a healthy lifestyle includes regular exercise and a balanced diet. A crucial element of maintaining a balanced diet is __________.

Select the most appropriate option to complete the paragraph.

Effective communication is essential for building strong relationships. One important aspect of communication is active listening, which involves __________.

Select the most appropriate option to complete the paragraph.

Building a successful career requires continuous learning and skill development. One effective approach to enhancing skills is __________.

Rearrange the following sentences (1), (2), (3) and (4) in proper sequence to from a meaningful paragraph; then answer the questions given below them.

(1) On March 28, 1854, launching the Crimean War, which was largely

(2) Of minority Christians in the Ottoman Empire

(3) About the protection of the rights

(4) France and Britain declared war on Russia

Rearrange the following sentences (1), (2), (3) and (4) in proper sequence to from a meaningful paragraph; then answer the questions given below them.

(1) The breathing unit may weigh as much as 25 kilograms

(2) Fighting a fire demands a lot of strength and endurance. The protective clothing the fire-fighter wears will weigh about 10 kilograms

(3) The fire-fighter will normally wear an oxygen mask and carry an oxygen tank

(4) Apart from these, he will have to carry the hose and other tools

Rearrange the following sentences (1), (2), (3) and (4) in proper sequence to from a meaningful paragraph; then answer the questions given below them.

(1) The Great Hunger throughout North America and Great Britain

(2) Led to 1 million deaths and

(3) From the country, landing in various cities

(4) Caused 1 million people to emigrate

Why does the author consider the native people of Greece savage?

Which of the following can be inferred from the passage?

Why did the Egyptian and Phoenician sailors set out in sail?

Why does the author consider Egyptians a civilized people?

Why, according to the author, is the beginning of Greek history like a fairy tale?

Which of the following is true according to the passage?

This follows Pakistan’s __________________________ in the wake of India revoking the special status to Jammu and Kashmir.

I. decision to discontinue the service

II. divergence towards the cut-off ties with China

III. function in the international arena without any responsibility

However, this stimulation of the economy precipitates inflation and as inflation increases, ____________________ .

I. the economy goes into reverse and eventually there is a reduction in the money supply along with an increase in the interest rates.

II. the number of donuts you can buy with the same amount of money will increase too.

III. the demand for gold increases as it has a direct relationship with inflation and it acts as an inflation hedge for investors.

Despite the State government tom-tomming waiving farm loans, the situation at the field level is different _____________.

I. with banks issuing notices to farmers seeking repayment of loans.

II. as banks are revoking their loan accounts.

III. for farmers as they have been issued notice by banks regarding repayment of loans.

The scientist was praised by leading journals for his white paper on revolutionizing cancer treatment and his work is considered _________________________ .

I. provocative and path-breaking

II. exceptional and ground-breaking

III. intentional and heart-breaking

Which of the following is a synonym of “release” in the context of the passage?

Which of the following is an antonym of “accumulate” in the context of the passage?

What is nanoparticles?

Which of the following describes the correct meaning of the phrase “pile up” in the context of the passage?

Why blood vessels cannot hold tumor?

Why is it emphasized that the cancer medicine should be released only where it is needed?

I. Because they can kill the healthy cells along with the unhealthy cells.

II. Because they make body temperature too warm.

III. Because they are more effective when used centralized.

In the following question, sentences of a paragraph have been jumbled and labeled as 1, 2, 3 and 4. You are required to rearrange the jumbled sentences of the paragraph and mark your response accordingly by selecting the correct option.

1. She understood my signs, and I could make her do as I wished.

2. My constant companion was Martha, our cook’s daughter.

3. We even helped in feeding the hens which crowded around the kitchen steps.

4. This pleased me greatly and we spent a lot of time together.

In the following question, sentences of a paragraph have been jumbled and labeled as 1, 2, 3 and 4. You are required to rearrange the jumbled sentences of the paragraph and mark your response accordingly by selecting the correct option.

1. It is one of the most popular pastimes.

2. Finding fault with others is the most common human folly.

3. But while railing at others, we hardly realize that we have the same faults in ourselves.

4. We like to sit in idle groups and rail about the shortcomings of others.