The sum of the squares of two positive integers is 100 and the difference of their squares is 28. What is the sum of the number?
Maths / Direction Sense MCQs — Multiple-choice practice
- A. 24
- B. 27
- C. 14
- D. 15
Correct answer
14
Explanation
Explanation Suppose those integers are A and B and A is greater than B. Then,as per first condition ,A2+B2=100……………Equation-1. Next,as per second condition,A2 - B2=28……..Equation-2. Now,On adding the Eqn.-1 &2,we get 2 x A2=128 Hence,A2=64,So A=8. Putting this value in Eqn-1,we get B2=100–64=36,So B=6. Hence,their sum is 8+6= 14 .
Continue with Direction Sense MCQs MCQs, explore all Maths topics, or try the Direction Sense MCQs practice quiz.
More Direction Sense MCQs questions
- If Ali completes a particular work in 4 days and Hyder completes the same work in 12 days. How many days will it take if they work together?
- A farmer has 86 chickens. All but 6 died. How many are left?
- A is B's sister, C is B's mother, D is C;s father, E is D's mother. Then how is A related to D?
- The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. The father’s present age is?
- During the school assembly, 196 students are standing in 4 rows. How many students are there in 11 rows?
- A frequency distribution is given below: Classes: 10-20, 20-30, 30-40, 40-50, 50-60 Frequency: 12, 18, 10, 5, 2. The class which has minimum frequency is?
Found an error? Report a correction with this page URL and a supporting source.