Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

21.
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.

$3 over 7$

$4 over 8$

$2 over 7$

$3 over 8$

$3 over 7$

Let the denominator of a fraction be x. Then numerator be (x - 4).
∴ Fraction is given by,
$equals space space fraction numerator straight x minus 4 over denominator straight x end fraction$
Now, According to the question,
$rightwards double arrow space space space space space left parenthesis straight x minus 4 minus 2 right parenthesis space equals space 1 over 8 left parenthesis straight x space plus space 1 right parenthesis rightwards double arrow space space space space space straight x space minus 6 space space space equals space fraction numerator straight x space plus space 1 over denominator 8 end fraction rightwards double arrow space space space space 8 straight x space minus space 48 space equals space straight x space plus space 1 rightwards double arrow space space space space 8 straight x space minus space straight x space equals space 48 space minus space 1 rightwards double arrow space space space space space space space space space space straight x space equals space 7$
∴ Required fraction
$equals space fraction numerator 7 minus 4 over denominator 7 end fraction space equals space 3 over 7$

32 Views

22.

If the number p is 5 more than q and the sum of the squares of p and q is 55, then the product of p and q is

32 Views

23.

The sum of the four number is 48. When 5 and 1 are added to the first two and 3 and 7 are subtracted from the 3rd and 4th, the numbers will be equal. The numbers are