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Quiz 4
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Q.1
Two numbers are in the ratio 17 : 45, One - third of the smaller is less than $$\frac{1}{5}$$ of the bigger by 15. The smaller number is = ?
$$25\frac{1}{2}$$
$$67\frac{1}{2}$$
$$76\frac{1}{2}$$
$$86\frac{1}{2}$$
Q.2
In a business, the ratio of the capitals of A and B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. Then the ratio of the capitals of A and D is -
9 : 20
3 : 5
5 : 3
20 : 9
Q.3
If x = $$\frac{1}{3}$$y and y = $$\frac{1}{2}$$z, then x : y : z is equal to
1 : 2 : 6
1 : 3 : 6
2 : 4 : 6
3 : 2 : 1
Q.4
There are Rs. 225 consisting of one rupee, 50 paise and 25 paise coins. The ratio of their numbers in that order is 8 : 5 : 3. The number of one - rupee coins is = ?
80
112
160
172
Q.5
An amount of money is to be distributed among P, Q ans R in the ratio of 2 : 7 : 9. The total of P's and Q's share is equal to R's share. What is the difference between the shares of P and Q ?
Rs. 5000
Rs. 7500
Rs. 9000
Information inadequate
Q.6
If x
2
+ 4y
2
= 4xy, then x : y is -
1 : 1
1 : 2
2 : 1
1 : 4
Q.7
If W
1
: W
2
= 2 : 3 and W
1
: W
3
= 1 : 2, then W
2
: W
3
is -
3 : 4
4 : 3
2 : 3
4 : 5
Q.8
If a : b = b : c, then a
4
: b
4
is equal to = ?
ac : b
2
a
2
: c
2
c
2
: a
2
b
2
: ac
Q.9
A sum of Rs. 1240 is distributed among A, B and C such that the ratio of amount received by A and B is 6 : 5 and that of B and C is 10 : 9 respectively. Find the share of C ?
Rs. 480
Rs. 360
Rs. 400
Rs. 630
Q.10
If x : 7.5 = 7 : 17.5, then the value of x is -
1
2.5
3
3.5
Q.11
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
50
100
150
200
Q.12
What is the ratio in Rs. 2.80 and 40 paise?
1 : 7
2 : 7
7 : 1
1 : 14
Q.13
The value of $$x$$ where $$x$$ : $$2\frac{1}{3}$$ :: $$21$$ : $$50$$ is -
$$1\frac{1}{{49}}$$
$$1\frac{1}{{50}}$$
$$\frac{{49}}{{50}}$$
$$\frac{{27}}{{50}}$$
Q.14
If $$\sqrt 2 $$ : $$\left( {1 + \sqrt 3 } \right)$$ :: $$\sqrt 6 $$ : $$x$$, then $$x$$ is equal to -
$$\sqrt 3 + 3$$
$$1 - \sqrt 3 $$
$$1 + \sqrt 3 $$
$$\sqrt 3 - 3$$
Q.15
A person spends Rs. 8100 in buying some tables at Rs. 1200 each and some chairs at Rs. 300 each. The ratio of the number of chairs to that of tables when the maximum possible number of tables is purchased,
1 : 2
1 : 4
2 : 1
5 : 7
Q.16
If $$x = \frac{1}{3}y$$ and $$y = \frac{1}{2}z{\text{,}}$$ then x : y : z is equal to = ?
3 : 2 : 1
1 : 2 : 6
1 : 3 : 6
2 : 4 : 6
Q.17
If x : y = 3 : 1, then x
3
- y
3
: x
3
+ y
3
= ?
13 : 14
14 : 13
10 : 11
11 : 10
Q.18
If 60% A = $$\frac{3}{4}$$ of B, then A : B is
4 : 5
5 : 4
9 : 20
20 : 9
Q.19
Which of the following represents ab = 64?
8 : a = 8 : b
a : 16 = 6 : 4
a : 8 = b : 8
32 : a = b : 2
None of these
Q.20
The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ?
148
152
156
144
Q.21
Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?
25 : 56
24 : 55
24 : 53
25 : 53
25 : 54
Q.22
A and B together have Rs. 1210. If $$\frac{4}{{15}}$$ of A's amount is equal to $$\frac{2}{{5}}$$ of B's amount, how much amount does B have?
Rs. 460
Rs. 484
Rs. 550
Rs. 664
Q.23
In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 gm of alloy, then the ratio of copper and zinc will be = ?
2 : 1
2 : 3
3 : 2
1 : 2
Q.24
The ratio of boys and girls in a club is 3 : 2. Which of the following could be the actual number of members ?
16
18
24
25
Q.25
If m : n = 3 : 2, then (4m + 5n) : (4m - 5n) is equal to = ?
4 : 9
9 : 4
11 : 1
9 : 1
Q.26
If Rs. 782 be divided into three parts, proportional to $$\frac{1}{2}$$ : $$\frac{2}{3}$$ : $$\frac{3}{4}$$ then the first part is:
Rs. 182
Rs. 190
Rs. 196
Rs. 204
Q.27
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
2 : 5
3 : 5
4 : 5
6 : 7
Q.28
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Rs. 500
Rs. 1500
Rs. 2000
None of these
Q.29
In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
20 litres
30 litres
40 litres
60 litres
Q.30
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
8 : 9
17 : 18
21 : 22
Cannot be determined
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