1 A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. Find the quantity of alcohol in the given mixture. A) 9 B) 10 C) 12 D) 14 E) 16
2 Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio A) 3:4 B) 4:5 C) 5:6 D) 6:7 E) 5:7
3 What number should be subtracted from 3, 5, 6, 7 so that the resulting numbers in this order form a proportion? A) 8 B) 7 C) 9 D) 5 E) 6
4 A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1:2:3. If their total value is Rs.30, the number of 5 paise coins is: A) 50 B) 100 C) 150 D) 200 E) 250
5 If $x:y=3:4$, find $(4x+5y):(5x-2y)$. A) $\frac{32}{7}$ B) $\frac{7}{42}$ C) $\frac{33}{2}$ D) $\frac{1}{12}$ E) $\frac{2}{7}$
7 If $\frac{A}{3}=\frac{B}{4}=\frac{C}{5}$, then $A:B:C$ is : A) 3:4:5 B) 2:1:4 C) 4:5:7 D) 6:4:8 E) 5:4:2
9 The cost of diamond varies as the square of its weight. A diamond weighing 10 decigrams costs Rs.32000. Find the loss incurred when it breaks into two pieces whose weights are in the ratio 2 : 3 A) 32000 B) 15300 C) 15360 D) 15600 E) 15850
10 Divide Rs.1050 among A,B and C such that A receives as much as B and C together and B receives as much as A and C together .The shares of A,B,C is A) 250,350,450 B) 200,400,450 C) 300,315,435 D) 300,300,450 E) 350,250,450
11 Of the three numbers, the ratio of the first and the second is 8:9 and that of the second and third is 3:4. If the product of the first and third numbers is 2400, then the second number is A) 45 B) 40 C) 30 D) 55 E) 60
12 Two numbers are in the ratio 5 : 6 and if 4 is subtracted from each ,they are reduced to the ratio 4 : 5,find the smaller number A) 20 B) 16 C) 12 D) 14 E) 17
13 A vessel contains 56 litres of mixture of milk and water in the ratio 5 : 2.How much water should be mixed with it so that the ratio of milk to water may be 4 : 5? A) 16 litres B) 30 litres C) 28 litres D) 34 litres E) 45 litres
14 If Rs.91 is divided amoung A,B, and C in tha ratio $1\frac{1}{2}:3\frac{1}{3}:2\frac{3}{4}$, then B will get A) Rs.36 B) Rs.40 C) Rs.45 D) Rs.48 E) Rs.55
15 Express 60 minutes as the fraction of one day. A) $\frac{1}{12}$ B) $\frac{1}{20}$ C) $\frac{1}{24}$ D) $\frac{1}{18}$ E) $\frac{1}{36}$