GATE Questions

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Let assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1

Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

16 of 225 is = 

$$\begin{gathered} 16 = p × 225100 \\ p = 1600225 = 7.1111 \end{gathered}$$

Let workdone 1 boy in 1 day be b

and that of 1 girl be g

From the given data,

4(5b + 3g) = 23

20b + 12g = 23 .......(a)

2(3b + 2g) = 7

6b + 4g = 7 ........(b)

Solving (a) & (b), we get

b = 1, g = 1/4

Let number og girls required be 'p'

6(7 x 1 + p x 1/4) = 45

=> p = 2.

Hence, number of girls required = 2

Race : Fatigue :: Fast : Hunger

The first word causes the second.

From a, we conclude that Vinitha is the wife of Ragini's mother's only son i.e. Ragini's brother. Thus, Vinitha is Ragini's sister-in-law.

From b, we conclude that Vinitha is the cousin of Ragini's husband, which implies that Vinitha is Ragini's sister-in-law.

Given word is GLACIOUS has 8 letters.

=> C is fixed in one of the 8 places

Then, the remaining 7 letters can be arranged in 7! ways = 5040.

Glycolysis is the chemical process that converts glucose C₆H₁₂O₆, into Pyruvate, CH₃COCOO− + H⁺.

• It represents the first stage in the chemical oxidation of glucose by a cell.

• The free energy released in this process is used to form the high-energy molecules ATP and NADH.