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The percentage weight of Zn in white vitriol [ZnSO₄.7H₂O] is approximately equal to. (at.mass o fZn = 65,S = 32,0 = 16 and H = 1).

A. 33.65 B. 32.56 C. 23.65 D. 22.65 Solution: (D) The molecular weight of white vitriol ZnSO4.7H2O = 65 + 32 + (4 × 16) + 7(2... View Article

In an experiment it showed that 10 mL of 0.05 M solution of chloride required 10 mL of 0.1 M solution of AgNO₃, which of the following will be the formula of the chloride (X stands for the symbol of the element other than chlorine):

A. X2Cl B. X2Cl2 C. XCl2 D. XCL4 Solution: (C) Millimoles of solution of chloride = 0.05 x 10 = 0.5 Millimoles of AgNO3 solution... View Article

Kamlang Tiger Reserve

Tiger Reserves are statutorily designated areas aimed at conserving tigers and ensuring their viable population. The Tiger Reserves in India are... View Article

National Sports Awards List 2022

There are multiple National Sports Awards in India which are awarded to sportspersons for their contribution and bringing pride to the country at... View Article

What is Air Bubble Agreement?

Transportation bubbles or air travel arrangements were temporary arrangements between two countries meant to resume commercial passenger... View Article

The equation (a² + b²)x² – 2b (a + c)x + (b² + c²) = 0 has equal roots. Which one of the following is correct about a, b, and c?

(a) They are in AP (b) They are in GP (c) They are in HP (d) They are neither in AP, nor in GP, nor in HP Solution: (a2 + b2)x2 - 2b (a... View Article

[latex]sum_{k=1}^{n}k(1 + frac{1}{n})^{k-1}[/latex]

(a) n(n - 1) (b) n(n + 1) (c) n2 (d) (n + 1)2 Solution: Sn = 1(1+ 1/n)0 + 2(1 + 1/n)1 + 3(1 + 1/n)2 + …n(1+1/n)n-1... View Article

If log_e 5, log_e (5^x – 1) and log_e (5^x – 11/5) are in A.P then the values of x are

(a) log5 4 and log5 3 (b) log3 4 and log4 3 (c) log3 4 and log3 5 (d) log5 6 and log5 7 Solution: Given that loge 5, loge... View Article

If t_ndenotes the n^th term of a G.P. whose common ratio is r, then the progression whose n^th term is 1/(t_n² + t_n+1²) is

(a) A.P. (b) G.P. (c) H.P. (d) None of these Solution: The nth term of G.P = arn-1, where a is the first term and r is the... View Article

The perimeter of a triangle whose sides are in A.P. is 21 cm and the product of lengths of the shortest side and the longest side exceeds the length of the other side by 6 cm. The longest side of the triangle is

(a) 1 cm (b) 7 cm (c) 13 cm (d) none Solution: Let a-d, a, a+d be the sides of the triangle. Given that perimeter =... View Article

An A.P. whose first term is unity and in which the sum of first half of any even number of terms to that of the second half of the same number of terms is a constant ratio, then the common difference is:

(a) 2 (b) 1 (c) 3 (d) None of these Solution: Given first term, a = 1 Let Sn denote the sum of n terms of an A.P.... View Article

The 100th term of the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4,… is

(a) 12 (b) 13 (c) 14 (d) 15 Solution: Given series 1, 2, 2, 3, 3, 3, 4, 4, 4, 4,... 1st term = 1 2nd term = 2... View Article

The 20th terms of the series 2 + 3 + 5 + 9 + 16 +…….is

(a) 950 (b) 975 (c) 990 (d) 1010 Solution: Let S1 = 2 + 3 + 5 + 9 + 16 +...............xn (i) S1 = 2 + 3 + 5 + 9 +... View Article

If a, b, c are the sides of a triangle, then the minimum value of [a/(b+c-a)] + [b/(c+a-b)] + [c/(a+b-c)] is equal to

(a) 3 (b) 6 (c) 9 (d) 12 Solution: a, b, c > 0 Let A = [a/(b+c-a)] + [b/(c+a-b)] + [c/(a+b-c)] Multiply... View Article

a, b, c are three distinct real numbers and they are in a G.P. if a + b + c = xb, then

(a) x ≤ -1 or x ≥ 3 (b) x < -1 or x > 3 (c) x ≤ -1 or x > 3 (d) x < -3 or x > 2 Solution: Let b =... View Article

A series is such that its every even term is ‘a’ times the term before it and every odd term is c times the term before it. The sum of 2n term of the series is (the first term is unity)

(a) (1 - cn)(1 - an)/(1 - ac) (b) (1 + a)(1 - cnan)/(1 - ac) (c) (1 + cn)(1 + an)/(1 - ac) (d) (1 + a)(1 + cnan)/(1 + ac) Solution: The... View Article

The wavelength of the first spectral line of sodium is 5896 A. The first excitation potential of sodium atom will be (h = 6.63 × 10^-34 Js)

1) 4.2 V 2) 3.5 V 3) 2.1 V 4) None of these Answer: 3) 2.1 V Solution: The energy of first excitation of sodium is... View Article