Question
In Fig. if QT ⊥ PR, ∠TQR = 40 ° and ∠SPR = 30
° , find x and y.         ÂSolution
In ∆ TQR, 90° + 40° + x = 180°(Angle sum property of a triangle) Therefore, x = 50° Now, y = ∠SPR + x (ext. angle equal to sum of opp. int angles) Therefore, y = 30° + 50° y = 80°
The HCF and LCM of two natural numbers are 15 and 75, respectively. What is the difference between the two numbers, if one of the numbers is 25?
Find the difference between sum of digits of LCM and HCF of 45, 60 and 75.
The HCF of two numbers is 7. Which of the following can never be their LCM?
Find out the sum of digits of largest number that leaves same remainder when it divides 12006, 6006, 5506 and 10006.Â
Find the least common multiple of (28/42), (35/49), and (14/21).
- Two numbers are in the ratio 5:12, and their least common multiple (LCM) is 1,440. Determine the sum of these two numbers.
A car moves 144 km in 4 hours. The bike goes 1.5 m/s slower than the car. What distance (in metres) does the bike cover in 6 minutes 20 seconds?
HCF of two numbers 70 and 140 can be expressed in the form of (20m – 110) whereas LCM of these two numbers can be expressed in the form of (40n – 20...
The least common multiple (LCM) of two numbers is 510, and their highest common factor (HCF) is 17. Additionally, the sum of these two numbers is 187. F...
- The product of two numbers is 4950 and their L.C.M is 225. What is the H.C.F of the two numbers?
Relevant for Exams:
