Here, n = 3 and (n + 1) = 4
? Two hands will coincide at 60n / 11 min past n
? 60 x 3 / 11 min past 3
? 180 /11 min past 3.
? 164/Sub>11 min past 3
New speed = 6/7 of usual speed
Now, time taken = 7/6 of usual time
(7/6 of the usual time) - (usual time) = 10 min
? 1/6 of the usual time = 10 min
? Usual time = 60 min
Square root of (1/4) x (1/49) ÷ (25/121)
= ?(1/4) x (1/49) x (121/25)
= 11 / (2 x 7 x 5)
= 11/70
74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
= (2x2) x (3x3) x (7x7) x (2x3x7)
Least number which should be multiplied to 74088 to make it a Perfect square = 2 x 3 x 7 = 42
Given 1/5 : 1/N = 1/N : 1/1.25
? 1/5 x 1/1.25 = 1/N x 1/N
? N2 = 5 x 1.25 = 6.25
? N = 2.5
Data inadequate
Let their ages be 2x and 3x years
(2x + 12) / (3x + 12) = 11 /15
? 15(2x + 12) = 11(3x + 12)
? 3x = 48
? x = 16
? age of sumit = 3x = 48 years
Given, r = 7 cm, h = 80 cm
Volume = ?r2h = (22/7) x 7 x 7 x 80
= 12320 cm3
∴ The year 700 is not a leap year.
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