Simplify : \( \large\frac{0.728 \times 0.728 - 0.272 \times 0.272}{0.456} \)


A) 0.456

B) 1

C) 0.728

D) 0.272

Correct Answer:
B) 1

Description for Correct answer:

Given sum is based on the following formula

\( a^{2} - b^{2} = \left( a + b \right) \left( a - b  \right) \)

\( a^{2} - b^{2} = \left( a + b \right) \left( a - b  \right) \)

\( \large\frac{a^{2}-b^{2}}{a - b} = a + b \)

\( \large\frac{0.728 \times 0.728 – 0.272 \times 0.272}{0.456}\)

a = 0.728; b = 0.272

a + b = 0.728 + 0.272

a + b = 1


Part of solved TNPSC Question Paper-2015 questions and answers : Exams >> TNPSC >> TNPSC Question Paper-2015








Comments

No comments available




Similar Questions
1).

If \( \large\frac{x}{y} =\frac{3}{5} \), then \( \large\frac{5x+2y}{5x - 2y}\) is equal to

A). 3
B). 5
C). \( \frac{2}{5} \)
D). \( \frac{5}{2} \)
-- View Answer
2). A person's present age is two-fifth of the age of his mother. After 8 years, he will be one half of the age of his mother. How old is the mother at present?
A). 42
B). 40
C). 45
D). 48
-- View Answer
3). Find the value of \( \large\frac{1.2 \times 1.2 \times 1.2 - 0.2 \times 0.2 \times 0.2 }{1.2 \times 1.2 + 1.2 \times 0.2 + 0.2 \times 0.2 } \)
A). 1.2
B). 1
C). 0.2
D). 1.4
-- View Answer
4). A bicycle marked at Rs. 1,500 is sold for Rs. 1,350. What is the percentage of discount?
A). 12
B). 15
C). 11
D). 10
-- View Answer
5). Which one of the following is the smallest ratio?
7:13, 17:25, 7:15, 15:23
A). 7 : 13
B). 17 : 25
C). 7 : 15
D). 15 : 23
-- View Answer


6). In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1 :2, then what is the quantity of water to be further added?
A). 20 l
B). 30 l
C). 50 l
D). 60 l
-- View Answer
7). Two numbers are in the ratio of 3 : 5. If 9 be subtracted from each, then they are in the ratio of 12 : 23. Find the second number.
A). 52
B). 53
C). 54
D). 55
-- View Answer
8).

Sum of squares of three positive numbers is 608 and they are in the ratio 2 : 3 : 5. Then, find the numbers.

A). 6, 9,15
B). 8, 12, 20
C). 10, 15,25
D). 14, 21, 35
-- View Answer
9). If 30% of A = 0.25 of B = 1/5 of C, then find the ratio of A:B:C
A). 15 : 12 : 10
B). 12 : 15 : 10
C). 10 : 12 : 15
D). 10 : 15 : 12
-- View Answer
10). What is the third proportional to 0.34 and 0.50?
A). 0.74
B). 0.75
C). 0.76
D). 0.77
-- View Answer