Question
An electronic device makes a beep after every 60 seconds. Another device makes a beep after 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?
✓
Answer
Interval of beeping together = LCM (60 seconds, 62 seconds)
The prime factorization of 60 and 62:
60 = 30 × 2, 62 = 31 × 2
$\therefore$ L.C.M of 60 and 62 is 30 31 × 2 = 1860 sec = 31min
$\therefore$ electronic device will beep after every 31 minutes
After 10 a.m., it will beep at 10hrs 31 minutes
The prime factorization of 60 and 62:
60 = 30 × 2, 62 = 31 × 2
$\therefore$ L.C.M of 60 and 62 is 30 31 × 2 = 1860 sec = 31min
$\therefore$ electronic device will beep after every 31 minutes
After 10 a.m., it will beep at 10hrs 31 minutes
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A manufacturer sold electric goods for a taxable value of ₹ 40,000 to the wholeseller. Wholeseller sold it to the retailer for ₹ 48,000 (taxable value). Retailer sold it to a customer for ₹ 52,000 (taxable value). Rate of GST is 18%. Find the CGST and SGST payable at each stage of trading. Also show statement of GST payable at each stage of trading.
Find the values of a and b for which the following system of equations has infinitely many solutions:
→$(a - 1)x + 3y = 2$
$6x + (1 - 2b)y = 6$
Solve the following systems of equations graphically:
2x - 3y + 13 = 0
3x - 2y + 12 = 0
Solve the following quadratic equation.
(2x + 3)2 = 25
(2x + 3)2 = 25
Solve the following system of equations by the method of cross-multiplication:
→$a^2x + b^2y = c^2$
$b^2x + a^2 y = d^2$
Find the value of k for which the root are real and equal in the following equations:
$(4 - k)x^2 + (2k + 4)x + (8k + 1) = 0$
→$(4 - k)x^2 + (2k + 4)x + (8k + 1) = 0$
A right angled triangle with sides 3cm and 4cm is revolved around its hypotenuse. Find the volume of the double cone thus generated.
Show that A(-3, 2), B(-5, -5), C(2, -3), and D(4, 4) are the vertices of a rhombus.
A solid sphere of radius 3cm is melted and then cast into small spherical balls. each of diameter 0.6cm. Find the number of balls so obtained.