Frequent Mathematics Questions

Consider an equilateral triangle ABC with side length 2.1cm. Find the minimum number of equilateral triangles with side length 1cm which can be placed over ΔABC so that it is completely covered. ...

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ? a) 4 b) 10 c) 15 d) 16 ...

If f(x)=sqrt{|x-1|} and g(x)=sin x, then (fog)(x) is equal to a) sin sqrt{|x-1|} b) |sin x/2-cos x/2| c) |sin x-cos x| d) None of these ...

If for two function f and g ; gof is a bijection, then correct statement is a) Both g and f must be bijections b) g must be a bijection c) f must be a bijection d) Neither of them may be a bijection ...

If f(x) is an invertible func such that f(x) + f(-x)=2a then ∫a-xa+x f-1(t)dt equals : ...

Let n(A) = n. Then the number of all relations on A is a) {2^n} b) {2^{(n)!}} c) {2^{{n^2}}} d) None of these ...

The value of a is coming as -1 and b as 1/2. But the problem is that when they are placed in the equation the result is not zero. ...

The inverse of the function f(x)=frac{{{e}^{x}}-{{e}^{-x}}}{{{e}^{x}}+{e}^{-x}}}+2 is given by a) {{log }_{e}}{{left( frac{x-2}{x-1} ight)}^{frac{1}{2}}} b) {{log }_{e}}{{left( frac{x-1}{3-x} ight)}^{frac{1}{2}}} c) {{log }_{ ...

Let R = {(1, 3), (2, 2), (3, 2)} and S = {(2, 1), (3, 2), (2, 3)} be two relations on set A = {1, 2, 3}. Then RoS = a) {(1, 3), (2, 2), (3, 2), (2, 1), (2, 3)} b) {(3, 2), (1, 3)} c) {(2, 3), (3, 2), (2, 2)} d) {(2, 3), (3, 2 ...

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3 . Then {R^{ - 1}} is a) {(8, 11), (10, 13)} b) {(11, 18), (13, 10)} c) {(10, 13), (8, 11)} d) None of these ...

9)Which of the following nos. is between 0.1123476 and 0.1123571? a.0.112523 b.0.1123473 c.0.1123473 d.Both a and b Correct Answer c Your Score -1 How can this be possible? Please verify the option. ...

9)Which of the following nos. is between 0.1123476 and 0.1123571? a.0.112523 b.0.1123473 c.0.1123473 d.Both a and b Correct Answer c Your Score -1 How can this be possible? Please verify the option. ...

7)The fractional representation of the noa.11343/990 b.11457/1000 c.1138/999 d.11343/999 Your Answer a Correct Answer d Your Score -1 How is that possible? Please verify the answer. ...

If varphi (x) = {a^x}, then {{ varphi (p)} ^3} is equal to a) phi(3p) b) 3varphi (p) c) 6phi(p) d) 2phi(p) ...

If then f(x),f(y) - frac{1}{2}[fleft({frac{x}{y}} ight) + f(xy)] = a) frac{1}{2} b) 2 c) 0 d) 1 ...

If the HCF and LCM of 2 numbers are reciprocal of each other, then the product of the numbers equals a) 0 b) 1 c) -1 d) 2 ...

Let f(x)=(1+{{b}^{2}}){{x}^{2}}+2bx+1 and m(b) the minimum value of f(x) for a given b. As b varies, the range of m(b) is a) [0,,1] b) left( 0,left. frac{1}{2} ight] ight. c) left[ frac{1}{2},,,1 ight] d) (0,,1] ...

Which of the following nos. is between 0.1123476 and 0.1123571? 0.112523 0.1123473 0.1123473 Both a and b Your Answer Not Attempted Correct Answer c how can 0.112473 lie between the given nos.? and please give the right answe ...

Which of the following nos. is between 0.1123476 and 0.1123571? 0.112523 0.1123473 0.1123473 Both a and b Your Answer Not Attempted Correct Answer c since the option b and c are same which will the right answer?and what will ...

If x4 + 1/x4 = 322, find x3 - 1/x3 = 64 76 96 84 ...

The value of 〖(2-a)〗3+ 〖(2-b)〗3+ 〖(2-c)〗3- 3(2-a)(2-b)(2-c) when a + b + c = 6, is: 3 -3 2 0 ...

The area of a square of side (2x − ay + 3) is A(x) + a2y2 + 2y (2x + 3), where A(x) is a polynomial in the variable x. What is the value of the constant a? Plz tell how to obtain the answer ...

f(x)=cos sqrt{x}, correct statement is a) f(x) is periodic & its period =sqrt{2}pi b) f(x) is periodic & its period =4{{pi }^{2}} c) f(x) is periodic & its period =sqrt{pi } d) f(x) is not periodic ...

Y= ex+e-x/ex-e-x p.t. dy/dx=1-y2 ...

The sum of the three sides of a triangle ABC is 10 cm. Angle B = 60 degrees Angle C = 45 degrees. How can we construct it? Please respond with all steps in detail. Thanks to the person who can help me in advance. Thanks, Bye, ...

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If one root of the equation ax2+bx+c=0 is the square of the other, then a(c-b)3=cX, where X is (a) a3+b3 (b) (a-b)3 (c) a3-b3 (d) N.O.T Please show the method .. ...

1 + 1+2/1! + 1+2+3/2! + 1+2+3+4/3! + ..... ∞ = (a) 0 (b) 1 (c) 7e/2 (d) 2e Brahmastra - Exponential and logarithmic series Q No.5 ...

Σ 1/1+xa-b+xa-c =? (A) 1 (B)-1 (C) 0 (D) N.O.T. ...

If the roots of the equation x2-bx/ax-c = m-1/m+1 are equal but opposite in sign, then the value of of m will be (a) a-b/a+b (b) b-a/a+b (c) a+b/a-b (d) a+b/b-a Brahmastra, Quadratic Equations Q No. 10. ...