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Browse complete papersIf 0 < a < b then, for all x > 0, \(\frac{a+x}{b+x}>\)
x
\(\frac{b}{a}\)
\(\frac{a}{b}\)
\(\frac{1}{x}\)
Correct answer
x
Four students A, B, C and D are running around a circular playground in a college and they take 15 min, 25min, 35min and 20min respectively to complete one round. If a prize money of Rs. K is divided in the ratio of their speeds, then the student who receives maximum share is
A
B
C
D
Correct answer
A
The ratio among the following that will have maximum change in its value when 10 is added to both the antecedent and consequent of that ratio, is
5 ∶ 7
2 ∶ 3
4 ∶ 7
3 ∶ 4
Correct answer
5 ∶ 7
Distinct number of men, women and children have visited a park in a particular day. The number of women visitors is 7 and the number of children who visited the park is maximum among all the visitors. If the ratio between the number of men and women is the same as the ratio between the number of women and children, then the total number of visitors to the park is
49
21
57
45
Correct answer
49
If a person covers the same distance by walking, by cycling and by running with speeds in the ratio 1 ∶ 9 ∶ 3 respectively, then the ratio of the ratios of their times and speeds of the three modes of travel is
1 ∶ 1 ∶ 1
1 ∶ 81 ∶ 9
81 ∶ 1 ∶ 9
1 ∶ 9 ∶ 81
Correct answer
1 ∶ 1 ∶ 1
If the sum of the ratios equivalent to \(16 \frac{2}{3} %, 33 \frac{1}{3} %, 5 %\) and 25% is x% of 15, then x =
\(\frac{16}{3} \)
5
\(\frac{3}{4} \)
\(\frac{2}{3} \)
Correct answer
\(\frac{16}{3} \)
A student is asked to multiply a number K by 5. But he multiplies K by \(\frac{1}{5}\) and gets x% error. Next time he multiplies K by \(\frac{1}{25}\) and gets y% error. Then the percentage increase of y over x is
\(3 \frac{1}{3} %\)
\(33 \frac{1}{3} %\)
\(16 \frac{2}{3} %\)
\(24 \frac{4}{5} %\)
Correct answer
\(3 \frac{1}{3} %\)
If there is an increase of 25% and 4% successively in the sales of a car of brand X in two consecutive years, then the net increase in the sales after two years, is
\(\frac{29}{2}%\)
29%
100%
30%
Correct answer
\(\frac{29}{2}%\)
A variable x is proportional to y. If 3 values x1, x2, x3 of x are in the ratio 2 ∶ 3 ∶ 4 such that x1 + x2 + x3 = 9 and x1y1 + x2y2 + x3y3 = 29 then the ratio of the increase percentages of x1y1, x2y2, x3y3 over x1, x2, x3 respectively is
4 ∶ 9 ∶ 16
1 ∶ 3 ∶ 6
1 ∶ 2 ∶ 3
3 ∶ 4 ∶ 5
Correct answer
4 ∶ 9 ∶ 16
A fruit vendor has certain oranges with him. He sells each orange for Rs. 5. Three customers A, B, C successively bought 25%, \(33\frac{1}{3}%\), 50% of the oranges that are left over with the vendor each time. Later a fourth customer D bought 4 oranges. If A and D together paid Rs. 140/- to the vendor, then the percentage of oranges left with the vendor is
2.5
\(5\frac{2}{7}\)
\(20\frac{5}{6}\)
\(6\frac{1}{4}\)
Correct answer
2.5