Problems on Numbers Questions

The sum of seven consecutive numbers is $175$. What is the difference between twice the largest number and thrice the smallest number?

The sum of five consecutive odd numbers is $575$. What is the sum of the next set of five consecutive odd numbers?

The sum of three consecutive odd numbers and three consecutive even numbers together is $231$. Also, the smallest odd number is $11$ less than the smallest even number. What is the sum of the largest odd number and the largest even number?

What is the sum of two consecutive even numbers, the difference of whose squares is $84$?

If the digit in the unit's place of a two-digit number is halved and the digit in the ten's place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?

The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit's place of the number?

The sum of the digits of a two-digit number is $1/5$ of the difference between the number and the number obtained by interchanging the positions of the digits. What is definitely the difference between the digits of that number?

A two-digit number becomes five-sixth of itself when its digits are reversed. The two digits differ by one. The number is

The sum of the numerator and denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $\frac{2}{3}$. The fraction is

When the numerator of a fraction increases by 4, the fraction increases by $\frac{2}{3}$. The denominator of the fraction is

A fraction is such that if the double of the numerator and the triple of the denominator is changed by $+10$ percent and $-30$ percent respectively, then we get 11 percent of $\frac{16}{21}$. Find the fraction.

Of the three numbers, the sum of the first two is 73; the sum of the second and the third is 77 and the sum of the third and thrice the first is 104. The third number is

The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is

Directions : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. What is the value of the two-digit number $ab$? I. The difference between its digits is 2. II. The sum of its digits is 4.

Directions : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. How much is four-fifths of the number? I. Three-fourths of the number is 2.5 less than its four-fifths. II. Half of the number added to it is 75.

Directions : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. What is the difference between the digits of a two-digit number? I. The sum of the digits of that number is 8. II. One-fifth of that number is 15 less than half of 44.

Directions : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. What is the value of the two-digit number? I. The product of the digits is 72 and the difference between the digits is 1. II. The digit at the unit place is greater than the other.