- When sum and difference of two numbers (X and Y) are given, then

X = (sum + difference)/2

Y = (sum + difference)/2 - Difference between two digits of two digit number is = (Difference in original and interchanged number)/9
- Sum of first n odd numbers is n
^{2} - Sum of first n even numbers is n(n+1)
- Sum of squares of first n natural numbers is n(n+1)(2n+1)/6
- Sum of cubes of first n natural numbers is [n(n+1)/2]
^{2}

A. 8

B. 10

C. 12

D. 14

x = 75 => 7 + 5 = 12

A. 25

B. 241/5

C. 253/5

D. 125

=> [50 – {20 + 3/5 of (25) – 2} + 8] = 625/x

=> [50 – 33 + 8] = 625/x

=> x = 25

A. 120

B. 140

C. 160

D. 180

Then, x + y = 20 and x – y = 8

Now, x^2 – y^2 = (x + y) (x – y) = 20 * 8 = 160

A. 11.9

B. 12.7

C. 12.9

D. 13.7

The sum of these number will be 129 and hence the average will be 129/10 = 12.9

A. 897

B. 967

C. 977

D. 987

10 to 99 = 90 * 2 = 180

100 to 365 = 266 * 3 = 798

So, 798 + 180 + 9 = 987

A. 2/5

B. 7/9

C. 3/11

D. 8/5

The fraction will be (P – 8)/P

Adding 3 to the numerator and subtracting 3 from the denominator, (P – 8 + 3)/(P – 3) = 3/4

(P – 5)/(P – 3) = 3/4

P = 20 – 9 => P = 11

The fraction is: 3/11

A. 2700

B. 5400

C. 8100

D. 10800

A. 1/3

B. 2/5

C. 3/10

D. 5/6

=> p=3/6 = 1/2

=> q=3/15 = 1/5

Hence, p-q = 1/2 – 1/5 = 5 – 2/10 = 3/10

A. 4/7

B. 4/5

C. 6/7

D. None of these

When the numerator decreased by 25% and the denominator decreased by 20%

(x * 3/4)/(y * 4/5) = 3/4

=> x/y = 3/4 * (4/5)/(3/4) = 4/5

A. 1/12

B. 1/8

C. 1/6

D. 1/4

---- = 2/15

Y * (75/100)

X/Y = 1/12

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