Simplification
- The sum of the squares of two numbers is 386. If one of the number is 5, the other will be :
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Let the required number be x. Then,
x2 + 52 = 386
⇒ x2 = 386 – 25
⇒ x2 = 361
⇒ x = √361 =19Correct Option: B
Let the required number be x. Then,
x2 + 52 = 386
⇒ x2 = 386 – 25
⇒ x2 = 361
⇒ x = √361 =19
- The number, whose square is equal to the difference of the squares of 75.15 and 60.12, is
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Let the number be x. Then,
x2 = (75.15)2 – (60.12)2
= (75.15 + 60.12) (75.15 – 60.12)
= 135.27 × 15.03
= 2033.1081
⇒ x = √2033.1081
= 45.09Correct Option: C
Let the number be x. Then,
x2 = (75.15)2 – (60.12)2
= (75.15 + 60.12) (75.15 – 60.12)
= 135.27 × 15.03
= 2033.1081
⇒ x = √2033.1081
= 45.09
- How many positive integers less than 1000 are multiples of 11 whose square roots are whole numbers.
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Multiples of 11 whose square
root are whole number
First = 11 × 11 = 121
Second = 11 × 11 × 4 = 484Correct Option: A
Multiples of 11 whose square
root are whole number
First = 11 × 11 = 121
Second = 11 × 11 × 4 = 484
- Three fifth of the square of a certain number is 126.15. What is the number?
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Let the number be x
According to the question3 of x2 = 126.15 5 ⇒ x2 = 126.15 × 5 3
⇒ x2 = 210.25
∴ x = √210.25 = 14.5Correct Option: C
Let the number be x
According to the question3 of x2 = 126.15 5 ⇒ x2 = 126.15 × 5 3
⇒ x2 = 210.25
∴ x = √210.25 = 14.5
- One-third of the square root of which number is 0.001 ?
-
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According to question,
1 = × √x = 0.001 3
⇒ √x = 0.003 ⇒ x = 0.000009Correct Option: D
According to question,
1 = × √x = 0.001 3
⇒ √x = 0.003 ⇒ x = 0.000009
