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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 ...

A couple produces a) Purely linear motion b) Purely rotational motion c) Linear and rotational motion d) No motion ...

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

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 ...

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A ball is thrown with some velocity from the ground and it takes 6s to return back. calculate the initial velocity a) 30m/s b) 15m/s c) 10m/s d) none ...

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 ...

A body of mass 10 kg is sliding on a frictionless surface with a velocity of 2,m{{s}^{-1}} . The force required to keep it moving with a same velocity is ...

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

A charged oil drop is to be held stationary between two plates separated by a distance of 25mm . If the mass of the drop is 5 imes {{10}^{-15}}kg and the charge on it is {{10}^{-18}}C , the potential to be applied between the ...

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. ...

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An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The coulomb force between the two is (Where ) ...

a thin half ring of radius R=20cm is uniformly charged with total charge q=0.70nC. find the magnitude of the electric field strength at the carvature centre of the half ring. ...

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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 }_{ ...

The size of colloidal solution is in the range of a) 1 – 100 nm b) 100 – 1000 nm c) 10-5 – 10-7 cm d) 107 – 109 cm ...

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

Given that a, b, and c are all positive, and that ab = 21, ac = 18, and bc = 42, find a + b + c. ...

3 metals A (270), B (80) & C (10) crystallize in simple cubic, face centered cubic and body centered cubic (bcc) phases respectively with unit cell 3, 2 and 1 Å respectively. The densities of A:B:C are in the ratio of: a) 3 ...

If f :N→N such that f(f(x))=3x; Then find f(2013) ...

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 ...

The following reaction represents the burning of wood: {{left[ {{ ext{C}}_{6}}{{ ext{H}}_{10}}{{ ext{O}}_{5}} ight]}_{ ext{n}}}+ ext{a}{{left[ {{ ext{O}}_{2}} ight]}_{ ext{n}}} ext{b}{{left[ ext{C}{{ ext{O}}_{2}} ight]}_{ ext ...

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. ...

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 ...