The proteins encoded by Cry1ac and Cry2ab genes act on which of the following-
a) Nematodes b) Pinworms c) Boll worms d) Book worms Answer: c) Boll worms. Explanation: The Cry proteins (Cry1ac and... View Article
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The organism which is autotrophic but does not have the pigment is?
a) Nostoc b) Wolffia c) Yeast d) Nitrosomonas Answer : d) Nitrosomonas Explanation: Both Nitrosomonas and Nitrobacter do not undergo... View Article
The Roman number for 283 is
In Roman Numerals, 100 is denoted by C, 50 is denoted by L and 10 is denoted by X Therefore... View Article
Simplest form of 4372/5402 is
GCD(4372, 5402) = 2 So, dividing both numerator and denominator of \(\begin{array}{l}\frac{4372}{5402}\end{array} \) by 2 \(\begin{array}{l}\frac{4372}{5402} = \frac{2196}{2701}\end{array} \) GCD(2196,... View Article
Every real number is an irrational number
False, because there are many examples of real numbers which are not irrational, for example, 2, ½, 1.24 all are... View Article
What should be multiplied to 555 to get 560, 60, 550?
To get 560 we must multiply 560/555 to 555 555 × 560/555 = 560 Similarly, to get 60 we multiply... View Article
What multiplied equals 7?
Since 7 is a prime number, so the two numbers which could be multiplied to get 7 is 7 ×... View Article
Let the p.m.f (probability mass function) of a random variable x be P(x)= (4/x)(5/9)^x(4/x)^4-x when x = 0, 1, 2, 3, 4 otherwise P(x) = 0. Find E(x) and Var(x)
Given, P(x) = \(\begin{array}{l}\left(\frac{4}{x}\right)\left(\frac{5}{9}\right)^{x}\left(\frac{4}{x}\right)^{4-x} \end{array} \) for x = 0, 1, 2, 3, 4 otherwise P(x) = 0 x 0... View Article
Let m be the mid-point and l be the lower class limit of a class in a continuous frequency distribution’ the upper-class limit of the class is:
Mid point of a class=(lower limit + upper limit)/2 Then, upper limit = 2 × mid-point − lower limit Therefore,... View Article
The slope of the tangent to locus of y = cos^-1(cos x) at x = (pi)/4
Given curve y = cos<sup>-1</sup>(cos x) At x = π/4 y = cos<sup>-1</sup>(cos π/4) y = cos<sup>-1</sup>1/√2 = π/4 Thus,... View Article
Given that the divisors of n = 3^p 5^q 7^r are in the form of 4λ + 1, then
If 4λ + 1 is the divisor of n= 3<sup>p</sup>.5<sup>q</sup>.7<sup>r</sup>, then n must be a multiple of 4λ + 1... View Article
Find a range of values of c such that the lines x-y = 2 and cx+y=3 intersect in the first quadrant
In the first quadrant x>0 and y>0, so we shall find values of c for x>0 and y>0 Now, x-y... View Article
In a GP if the (2p)^th term is q^2 and (2q)^th term is p^2 where p and q ∈ N, find the (p +q)^th term
Let a be the first term of G.P. and r be the common difference. Then, T<sub>2p</sub> = ar<sup>(2p-1)</sup> =q<sup>2</sup> ………..(1)... View Article
If HCF (18,72) = 18, then LCM (18,72) is:
We know HCF(a, b) × LCM(a, b) = a × b Given HCF(18, 72) = 18 and 18 × 72... View Article
How does division work?
The which we need to divide is called the dividend and the number with which we divide the number is... View Article
How to find HCF of 430,516, and 817 by using the long division method
To find the HCF of 430, 516 and 817 by using the long division method- Step 1: Divide 516 by... View Article
Let Z1 and Z2 be two complex numbers such that (Z1−Z2)/(2−Z1 BarZ2) is unimodular and Z2 is not unimodular, find the modulus of Z1
A complex number Z is unimodular, if \(\begin{array}{l}\left| Z\right|= 1\end{array} \) Given, \(\begin{array}{l}\left|\frac{Z_{1}-2Z_{2}}{2-Z_{1}\overline{Z_{2}}}\right|= 1\end{array} \) and \(\begin{array}{l}\left| Z_{2}\right|\neq 1\end{array} \) ... View Article
Create a puzzle for kids with a number as an answer
Complete the magic square: Solution: A magic square is a square in which numbers are placed in such a way... View Article
Only the current inside the Amperian loop contributes in
a) Finding magnetic field at any point on the Ampere’s loop b) Line integral of magnetic field c) In both... View Article
A particle of mass 0.1kg executes SHM under a force F=(−10x)N. Speed of particle at mean position is 6m/s. Then amplitude of oscillations is
Solution: \(\begin{array}{l}w=\sqrt{\frac{k}{m}}\end{array} \) \(\begin{array}{l}w=\sqrt{\frac{10}{0.1}}\end{array} \) =10 \(\begin{array}{l}V_{max}=6m/s\end{array} \) \(\begin{array}{l}A=\frac{6}{10}=0.6m\end{array} \)
