Exams

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

CPU speed is the central factor in a computer's performance. And this CPU speed depends on the processor in the CPU chip. In a computer, clock speed refers to the number of pulses per second generated by an oscillator that sets the tempo for the processor. Clock speed is usually measured in Hertz (Hz).

But now-a-days, a pure processor's performance is measured in MIPS (Millions of Instructions Per Second). As here in the question, how a processor's speed is measured is asked and it is Hertz. 

Hence, Processor's speed of a computer is measured in Hertz(Hz) [MHz, GHz].

Volume of the cube/volume of pyramid=a313a2×a2

Golden Rice (Oryza sativa) denotes a genetically modified rice capable of biosynthesizing and accumulating β-carotene (provitamin A) in the endosperm, yielding a characteristic yellow color in the polished grains. Golden rice was developed to help cope with vitamin A deficiency, a problem that prevails in developing countries, affecting millions (Underwood, 2000; UNICEF, 2000). Vitamin A deficiency causes mortality and growth retardation in children and frequently impairs vision, leading to blindness. It also contributes indirectly to anemia by interfering with iron bioavailability.

The endosperm of Golden Rice (Oryza sativa) is yellow due to the accumulation of β-carotene (provitamin A) and xanthophylls. The product of the two carotenoid biosynthesis transgenes used in Golden Rice results in Pale Yellow color.

First is a group of the second.

Hence, Archipelago : Islands :: Massif : Mountains.

Let the distance in one direction = k kms

Speed in still water = 4.5 kmph

Speed of river = 1.5

Hence, speed in upstream = 4.5 - 1.5 = 3 kmph

Speed in downstream = 4.5 + 1.5 = 6 kmph

Time taken by Rajesh to row upwards = k/3 hrs

Time taken by Rajesh to row downwards = k/6 hrs

Now, required Average speed =$$\begin{gathered} Total distanceTotal speed = 2kk3 + k6 \\ = 2k x 186k + 3k = 4 kmph \end{gathered}$$ 

Therefore, the average speed of the whole journey = 4kmph.

Given P = 54 and M = 80

According to the question,

Let ‘A’ years ago, M = 3P

=> M - A/P - A = 3

=> 80 - A = 3(54 - A)

=> 80 - A = 162 - 3A

=> 2A = 82

=> A = 41

Therefore, A = 41 years ago Sweety’s mother was 3 times of Sweety’s age.

Hence, at the age S = 13 and M = 39.