Practice Questions:
Question 1:
Solve this question using options. 1/2 of the first part should equal 1/3rd of the second part and of the third part. This means that the first part should be divisible by 2, the second one by 3, and the third one by 6. Looking at the options, none of the first 3 options has its third number divisible by 6. Thus, option (d) is correct.
Question 2:
Question 3:
Question 4:
In 40 litres, milk = 32 and water = 8. We want to create 2 : 3 milk to water mixture, for this we would need: 32 milk and 48 water. (Since milk is not increasing). Thus, we need to add 40 litres of water.
Question 5:
Question 1:
Divide t` 1870 into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal.
(a) 241, 343, 245
(b) 400, 800, 670
(c) 470, 640, 1160
(d) None of these
Solve this question using options. 1/2 of the first part should equal 1/3rd of the second part and of the third part. This means that the first part should be divisible by 2, the second one by 3, and the third one by 6. Looking at the options, none of the first 3 options has its third number divisible by 6. Thus, option (d) is correct.
Question 2:
Divide t` 500 among A, B, C and D so that A and B together get thrice as much as C and D together, B gets four times of what C gets and C gets 1.5 times as much as D. Now the value of what B gets is
(A + B) = 3 (C + D) Æ A + B = 375 and C + D = 125.
Also, since C gets 1.5 times D we have C = 75 and D = 50, and
B = 4 C = 300.
Question 3:
If 4 examiners can examine a certain number of answer books in 8 days by working 5 hours a day, for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 20 days.
4 × 8 × 5 = 160 man-hours are required for ‘x’ no. of answer sheets. So, for ‘2x’ answer sheets we would require 320 man-hours = 2 × 20 × n Æ n = 8 Hours a day.
Question 4:
In a mixture of 40 litres, the ratio of milk and water is 4 : 1. How much water must be added to this mixture so that the ratio of milk and water becomes 2 : 3.
In 40 litres, milk = 32 and water = 8. We want to create 2 : 3 milk to water mixture, for this we would need: 32 milk and 48 water. (Since milk is not increasing). Thus, we need to add 40 litres of water.
Question 5:
If three numbers are in the ratio of 1 : 2 : 3 and half the sum is 18, then the ratio of squares of the numbers is:
1 : 2 : 3 Æ x, 2x and 3x add up to 36.
x + 2x + 3x = 36
6x = 36
x = 6
So the numbers are: 6, 12 and 18.
Ratio of squares = 36 : 144 : 324.
Time to Think:
The ratio between two numbers is 3 : 4 and their LCM is 180. The first number is:
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