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The value of k which makes f(x) = {(sin(1/x), x ≠ 0), (k, x = 0) continuous at x = 0 is (A) 8 (B) 1 (C) -1 (D) None of these

The value of k which makes f(x) = {(sin(1/x), x ≠ 0), (k, x = 0) continuous at x = 0 is (A) 8 (B) 1 (C) -1 (D) None of these Answer: (D)... View Article

An increase in the concentration of the reactants of reaction leads to change in (1) Heat of reaction (2) Threshold energy (3) Collision frequency (4) Activation energy

Answer: (3) Collision frequency The speed with which a reaction takes place is referred to as the rate of a reaction. For example, wood... View Article

The reciprocal of -3/4 is__________

Answer: The reciprocal of -3/4 is -4/3. In Mathematics, reciprocal means an expression which when multiplied by another expression, gives... View Article

What is odd function?

Answer: When x is replaced with -x, the odd functions return their negative inverse. This implies that f(x) is an odd function when f(-x) =... View Article

If line y−x + 2 = 0 is shifted parallel to itself towards the x-axis by a perpendicular distance of 3√2 units, then the equation of the new line may be (1) y = x + 4 (2) y = x + 1 (3) y = x – (2 + 3√2) (4) y = x – 8

If line y - x + 2 = 0 is shifted parallel to itself towards the x-axis by a perpendicular distance of 3√2 units, then the equation of the... View Article

(secA + tanA)(1− sinA)=? (1) cosA (2) sinA (3) secA (4) cotA

(secA + tanA)(1− sinA)=? (1) cosA (2) sinA (3) secA (4) cotA Answer: (1) cosA We know that, sec A= 1/cos A tan A = sin A / cos A... View Article

When petrol drops from a vehicle fall over rain water on road surface, colours are seen because of (1) Dispersion of light. (2) Interference of light. (3) Scattering of light. (4) Absorption of light.

Answer: (2) Interference of light. Petrol is a type of gasoline that is used to fuel various vehicles and generators. When a drop of petrol... View Article

If sinθ – cosθ = 0, then the value of (sin⁴θ+cos⁴θ) is (1) 1 (2) 3/4 (3) 1/2 (4) 1/4

Answer: (3) 1/2 Given sinθ - cosθ = 0 sinθ = cosθ The above condition is possible only when θ = 45o Now... View Article

The number of three digit odd numbers that can be formed with 1,2,3,4,5 is (1) 36 (2) 60 (3) 24 (4) 53

Answer: (1) 36 Odd numbers are the numbers that cannot be divided by 2 evenly. It cannot be divided into two separate integers evenly. If we... View Article

If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is (a) 2 (b) 3 (c) 4 (d) 5

If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is (a) 2 (b) 3 (c) 4 (d) 5 Answer: (c) 4 Lowest Common Multiple (LCM): The least or smallest... View Article

The root pressure is positive or negative?

Answer: Root pressure is a force or the hydrostatic pressure generated in the roots that help in driving the fluids and other ions from the soil... View Article

Let a1, a2, a3,…….,a49 be in A.P. such that [latex]sum_{k=0}^{12} a_{4k+1} = 416 ; ; and ; ; a_9 + a_{43} = 66[/latex]. If a12 + a22 + ……..+ a172 = 140 m, then m is equal to (a) 68 (b) 34 (c) 33 (d) 66

Answer: (b) 34 An arithmetic sequence or progression is defined as a sequence of numbers in which for every pair of consecutive terms, the... View Article

With what velocity should an alpha- particle travel toward the nucleus of a copper atom at a distance of 10^-13m from the nucleus of the copper atom ?

With what velocity should an alpha- particle travel toward the nucleus of a copper atom at a distance of 10<sup>-13</sup>m from the... View Article

How to convert fractions to decimals?

Answer: In Mathematics, a fraction represents a numerical value, which defines the parts of a whole. The basics of fractions explain the top and... View Article

Time of ascent is equal to (1) Time of journey (2) Time of descent (3) Both (a) and (b) above (4) None of these

Time of ascent is equal to (1) Time of journey (2) Time of descent (3) Both (a) and (b) above (4) None of these Answer:(2) Time of descent g... View Article

If 9 times the 9th term of an AP is equal to 13 times the 13th term, then the 22nd term of the AP is (1) 0 (2) 22 (3) 220 (4) 198

Answer:(1) 0 An arithmetic sequence or progression is defined as a sequence of numbers in which for every pair of consecutive terms, the second... View Article

What is the oxidation number of Mn in K₂MnO₄,MnSO₄,MnO₂ and Mn₃O₄ respectively? (1) +7,+6,+2,+4, +8/3(2) +4,+6,+2,+4, +8/3 (3) +7,+6,+2,+3, +8/3 (4) None of these

Answer: (1) +7,+6,+2,+4, +8/3 Let x be the oxidation number of Mn in MnO2.Since the overall charge on the complex is 0, the sum of oxidation... View Article

If x = t²,y = t³ then dx²/d²y= (1) 3/2 (2) 3/4t (3) 3/2t (4) 3t/2

If x = t2,y = t3 then dx2/d2y= (1) 3/2 (2) 3/4t (3) 3/2t (4) 3t/2 Answer: (2) 3/4t Given x = t2 Differentiate withrespect to t... View Article

A direct current of 5 amp is superimposed on an alternating current I=10 sin omega t flowing through a wire. The effective value of the resulting current will be________

Answer: A direct current of 5 amp is superimposed on an alternating current I=10 sinωt flowing through a wire. The effective value of the... View Article

How to get a Percentage?

Answer: In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a... View Article