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A radioactive nucleus (initial mass number A and atomic number Z) emits 3 $α$-paticles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be

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Let $f:R⃗→R$ be a function defined by $f(x)=M∈{x+1,∣x∣+1}$ . Then which of the following is true?

The correct decreasing order of priority for the functional groups of organic compounds in the IUPAC system of nomenclature is

Which one of the following is the correct statement ?

Suppose the cube $x_{3}px+q$has three distinct real roots where $p>0$and $q>0$. Then which one of the following holds?

The alkene that exhibits geometrical isomerism is :

Consider a family of circles which are passing through the point $(−1,1)$and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval

Copper crystallizes in fcc with a unit cell length of 361pm. What is the radius of copper atom ?

The solution for x of the equation $∫_{2}tt_{2}−1 dt =2π $ is:(A) 2 (B) $π$ (C) $23 $ (D) $22 $