# Equations 1/3

17. A number exceeds 20% of itself by 40. The number is
a. 50
b. 60
c. 80
d. 320

18. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52.The smallest number is :
a. 20
b. 27
c. 39
d. 52
d. None of these

19. If 16% of 40% of a number is 8, then the number is
a. 200
b. 225
c. 125
d. 320

20. If 3 is added to the denominator of a fraction, it becomes $\displaystyle\frac{1}{3}$ and if 4 be added to its numerator, it becomes $\displaystyle\frac{3}{4}$ ; the fraction is :
a. $\displaystyle\frac{4}{9}$
b. $\displaystyle\frac{3}{{20}}$
c. $\displaystyle\frac{7}{{24}}$
d. $\displaystyle\frac{5}{{12}}$

21. Of the three numbers, the first is twice the second and is half of the third. If the average of three numbers is 56, then the smallest number is
a. 24
b. 36
c. 40
d. 48

22. The difference of two numbers is 8 and $\displaystyle\frac{{{1^{th}}}}{{12}}$ of the sum is 1. The numbers are
a. 10, 2
b. 18, 26
c. 10, 18
d. 26, 34

23. A number is 25 more than its $\displaystyle\frac{2}{5}{\rm{th}}$. The number is
a. 60
b. 80
c. $\displaystyle\frac{{125}}{3}$
d. $\displaystyle\frac{{125}}{7}$

24. The sum of three numbers is 68. If the ratio between first and second be 2 : 3 and that between second and third be 5 : 3, then the second number is
a. 30
b. 20
c. 58
d. 48

25. The sum of two numbers is 100 and their difference is 37. The difference of their squares is
a. 37
b. 100
c. 63
d. 3700