Given expression = (108 + 9 + 3 +1) / 108
= 121 / 108
= 1.1203
On dividing 1056 by 23, we get 21 as remainder
? Required number to be added = (23 - 21 ) = 2.
? = 127/8 x 116/5 + 19/5 x 41/8
= 14732/40 + 779/40 = 15511/40 = 387.7 ? 385
Total number of caps = 12
n(s) = 12c1 = 12
Out of ( 2 blue + 1 yellow) caps, number of ways to pick one cap n(E) = 3c1 = 3
? Required probability = p(E) = n (E) / n(s) = 3/12 = 1/4
? ax = b
? loga b = x
? by = c
? logb c = y
? cz = a
? logc a = z
? xyz = logab x logbc x logca = 1
The five letters could be arrange in 5! ways.
One of them is 'BRING'.
? Required probability = 1/5!
= 1/(5 x 4 x 3 x 2 x 1)
= 1/120
Required HCF = (HCF of numerators) / (LCM of denominators)
= (HCF of 1, 3 and 4) / (LCM of 2, 4, and 5)
= 1/20
Average speed = (100 / 10) = 10 km/hr.
Ratio of time taken at 7 km/hr to 12 km/hr = 2 : 3
Time taken at 7 km/hr = 2 (2 + 3) × 10 = 4 hrs.
Distance covered at 7 km/hr = 7 × 4 = 28 km.
Distance covered at 12 km/hr = 100 ? 28 = 72 km.
log10x = 7
? x = 107
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