If \(\frac{3}{4}\) th of \(\frac{2}{7}\) th of a number is 34 then find the number?
156.22
158.67
159.32
162.53
Answer: (b) 158.67Solution: Let the number is x then $$ x \times \frac{3}{4} \times \frac{2}{7} = 34 $$ $$ \frac{3x}{14} = 34 $$ $$ x = \frac{34 \times 14}{3} $$ $$ x = \frac{476}{3} $$ $$ x = 158.67 $$
If \(\frac{2}{5}\) th of 80 is x then find the value of x?
32
23
33
22
Answer: (a) 32Solution: According to the question $$ \frac{2}{5} \times 80 = x $$ $$ x = 32 $$
If the fractions \(\frac{2}{5}\), \(\frac{3}{5}\), \(\frac{6}{7}\), and \(\frac{2}{3}\) are arranged in ascending order of their values. Which one will be in the second place?
\(\frac{2}{5}\)
\(\frac{3}{5}\)
\(\frac{6}{7}\)
\(\frac{2}{3}\)
Answer: (b) \(\frac{3}{5}\)Solution: $$ \frac{2}{5} = 0.4 $$ $$ \frac{3}{5} = 0.6 $$ $$ \frac{6}{7} = 0.857 $$ $$ \frac{2}{3} = 0.67 $$ By writing the values in ascending order $$ \frac{2}{5}, \frac{3}{5}, \frac{2}{3}, \frac{6}{7} $$ Hence \(\frac{3}{5}\) will be on second place.
If the fractions \(\frac{3}{8}\), \(\frac{2}{9}\), \(\frac{4}{7}\), and \(\frac{5}{12}\) are arranged in descending order of their values. Which one will be in the third place?
\(\frac{3}{8}\)
\(\frac{2}{9}\)
\(\frac{4}{7}\)
\(\frac{5}{12}\)
Answer: (a) \(\frac{3}{8}\)Solution: $$ \frac{3}{8} = 0.375 $$ $$ \frac{2}{9} = 0.23 $$ $$ \frac{4}{7} = 0.57 $$ $$ \frac{5}{12} = 0.4167 $$ By writing the values in descending order $$ \frac{4}{7}, \frac{5}{12}, \frac{3}{8}, \frac{2}{9} $$ Hence \(\frac{3}{8}\) will be on third place.
I have some horses and pigeons. If the total number of animal-heads is 51 and the total number of feet is 178 then find how many pigeons I have?
15
14
13
12
Answer: (c) 13Solution: Let I have x number of pigeons and y number of horses then $$ x + y = 51....(1) $$ As pigeons have two feet each and horses have four feet each then $$ 2x + 4y = 178....(2) $$ by multiplying 4 with equation (1) $$ 4x + 4y = 204....(3) $$ by subtracting equation (2) from equation (3) $$ 4x + 4y - 2x - 4y = 26 $$ $$ 2x = 26 $$ $$ x = 13 $$ Hence I have 13 pigeons.