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# Thrice the Square of a Natural Number Decreased by 4 Times the Number is Equal to 50 more than the Number. The Number is?

### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 4

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## Explanation

• Thrice the square of a natural number decreased by 4 times the number.
• Is equal to 50 more than the number.

The number can be figure out in this way.

Let suppose the number is y.

Thrice the square of â€śyâ€ť decreased by 4y

3y2 â€“ 4y

3y2 â€“ 4y is equal to 50 more than the number

3y2 â€“ 4y = y + 50 ________ (i)

Through equation (i) we can easily find out the value of y (y = 5).

Number = ?

## Solution

Let suppose

Number = y

According to the given condition

3y2 â€“ 4y = y + 50

3y2 â€“ 4y â€“ y â€“ 50 = 0

3y2 â€“ 5y â€“ 50 = 0

3y2 â€“ 15y + 10y â€“ 50 = 0

3y(y â€“ 5) + 10(y â€“ 5) = 0

(3y + 10)(y â€“ 5) = 0

3y + 10 = 0                   &                y â€“ 5 = 0

y = -10/3 (not possible)                 &                y = 5 (possible)

## Conclusion

Thrice the square of a natural number decreased by 4 times, the number is equal to 50 more than the number. The number is 5.

### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 6

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