The sum of the squares of three numbers is 138, while the sum of their product t

Question

The sum of the squares of three numbers is 138, while the sum of their product taken two at a time is 131. Their sum is :

Options:

A . 20

B . 30

C . 40

D . None of these

Answer: Option A

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Question 1. The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers....squares is 28. The sum of the numbers is ?

Question 2. A number when multiplied by 13 is increased by 180. The number is :....

Question 3. A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is ?....

Question 4. The difference between two numbers is 1365. When the large number is divided by the smaller one, the quotient is 6 and t....and the remainder is 15. The smaller number is :

Question 5. A number of two digits has 3 for its unit's digit, and the sum of digits is $$\frac{1}{7}$$ of the itself. The number is....digits is $$\frac{1}{7}$$ of the itself. The number is :

Question 6. In a three-digit number, the digit in the unit's place is 75% of the digit in the ten's place. The digit in the ten's pl....the hundred's place is 15. What is the number ?

Question 7. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is ....185, then the difference between the two numbers is :

Question 8. The difference between $$\frac{3}{5}$$th of $$\frac{2}{3}$$rd of a number and $$\frac{2}{5}$$th of $$\frac{1}{4}$$th of ....the same number is 288. What is the number ?

Question 9. The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be :....

Question 10. The difference between two numbers is 16. If one-third of the smaller number is greater than one-seventh of the larger n....larger number by 4, then the two numbers are :

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