Question
Find the smallest perfect square that is divisible by 10,
14, 18, and 21. What is the remainder when it is divided by 85?Solution
ATQ,
LCM of 10, 14, 18 and 21 = 630
Since, 630 = (2 × 3 × 3 × 5 × 7)
To make it a perfect square, multiply by (2 × 5 × 7) = 70
So, required number = 630 × 70 = 44100
44100 ÷ 85 = 518 × 85 + 30
So, desired remainder = 30
₹ 9200 is divided between L, M and N in the ratio of 6: 8: 9. If 'L' and 'M' each gave ₹ 400 to N then the new ratio of shares of L, M, and N is:
If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is:
- Find the mean proportion of 7.2 and 16.2.
A school has 600 students. The ratio of boys to girls is 3:2. If 40 new boys join the school, what will be the new ratio of boys to girls in the school?
In an alloy of three metals, ratio of the quantity of gold, silver and platinum is 5:6:4, respectively. If total quantity of silver and platinum togethe...
- Four friends ('W', 'X', 'Y', and 'Z') went to dinner and received a bill of Rs. 1,800. They agreed that 'W' would pay half of what the other three paid tog...
A total sum of Rs. 6720 was to be divided among X, Y, and Z in the ratio 10:14:16 respectively. However, it was mistakenly distributed in the ratio 9:11...
A, B and C has total 60 toffies with them. A has 25 toffies and the number of toffies with C is 5 less than that with B. How many...
If 75% of (P - Q) equals 25% of 60% of (P + Q), what is the ratio of Q to P?
- Class ‘K’ has number of girls as 90% of boys in that class. Class ‘L’ has 10% fewer boys than class ‘K’ and 35% more total students than class ...
Relevant for Exams:
