If the sum of the series 24, 20,16,…. is 60. Find the number of terms in the series.
Solution: 24, 20,16,….is an AP with a = 24, d = -4 Given sum = 60 Sum of n terms... View Article
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If a + b + c = 0, then prove that a3+ b3+ c3 = 3abc.
Solution: Given that a + b + c = 0 => a+b = -c ..(i) Cubing both sides (a+b)3= -c3... View Article
What percentage is 15 out of 50?
Solution: To convert fraction into percentage, multiply the fraction by 100. 15 out of 50 = 15/50 (15/50)×100 = 30%... View Article
The centre of a circle S = 0 lies on 2x – 2y + 9 = 0 and S = 0 cuts orthogonally the circle x2 + y2 = 4. Then the circle must pass through the point
(a) (1, 1) (b) (-1/2, 1/2) (c) (5, 5) (d) (-4, 4) Solution: Let the circle be S: x2+y2+2gx+2fy+c =... View Article
Prime factorization of 3136
Solution: We divide 3136 by the smallest prime factor. We keep dividing until it gives a non-zero remainder. 3136/2 =... View Article
What is the formula for sin3x?
Solution: sin3x = (3 sin x – sin 3 x)/4 We know sin 3x = 3 sin x – 4... View Article
Choose the number that is 1/4 of 1/2 of 1/5 of 200.
(a) 4 (b) 5 (c) 20 (d) 40 Solution: 1/5 of 200 = (1/5)×200 = 40 (1/2) of 1/5 of... View Article
Which of the following are macromolecular colloids?
(A) Soap (B) Starch (C) Cellulose (D) Both (B) and (C) The Correct Answer is (D) Both (B) and (C)... View Article
The carbonate of metal is isomorphous with MgCO3 and contains 6.091% of carbon. The atomic weight of the metal is :
(A) 48 (B) 68 (C) 120 (D) 137 The Correct Answer is (D) 137 Explore more such questions and answers... View Article
Which of the following mentioned property is more for nitrogen as compared to oxygen
(A) Electron affinity (B) Ionisation energy (C) Both (A) and (B) (D) None Of These The Correct Answer is (B)... View Article
Which of the given set of compounds have a higher boiling point?
(A) 1-chloropropane (B) 1-chlorobutane (C) Isopropyl chloride (D) None Of These The Correct Answer is (B) 1-chlorobutane Solution: 1-chlorobutane has... View Article
HCF of 16 and 24 is
(A) 4 (B) 6 (C) 8 (D) 10 The Correct Answer is (C) 8 Solution: HCF of 16 The factors... View Article
A solid XY has a bcc structure. If the distance of closest approach between the two atoms is 173 pm, the edge length of the cell is :
(A) \(\begin{array}{l} \sqrt{2} pm\end{array} \) (B) 142.2 pm (C) 200 pm (D) \(\begin{array}{l}\frac{\sqrt{3}}{\sqrt{2}}\end{array} \) The Correct Answer is (C) 200... View Article
On heating, 4.90 g of Potassium chlorate(KClO3) shows a weight loss of 0.384g. What will be the percentage of the original decomposed Potassium chlorate(KClO3)?
(A) 10 % (B) 15 % (C) 20 % (D) 30 % The Correct Answer is (C) 20 % Solution:... View Article
The spin only magnetic moment of Mn4+ is:
(A) 3 BM (B) 4 BM (C) 5 BM (D) 6 BM The Correct Answer is (B) 4 BM Solution:... View Article
In which of the following conjugated double bond is present?
(A) 1,2−Butadiene (B) 1,3−Butadiene (C) 1,3−Pentadience (D) Both (B) and (C) The Correct Answer is (D) Both (B) and (C)... View Article
Assertion: KCN reacts with methyl chloride to give methyl isocyanide.Reason: CN-$$ is an ambident nucleophile.
(A) Assertion is true, but Reason is false. (B) Assertion is false, but Reason is the correct statement. (C) Both... View Article
BrO3- ion reacts with Br- to form Br2 in an acid medium. The equivalent mass of Br2 in this reaction is:
(A)\(\begin{array}{l} \frac{3M.w.}{5} \end{array} \) (B)\(\begin{array}{l} \frac{4M.w.}{6} \end{array} \) (C)\(\begin{array}{l} \frac{5M.w.}{3} \end{array} \) (D)\(\begin{array}{l} \frac{5M.w.}{8} \end{array} \) The Correct Answer is... View Article
Among KO2, AlO-2 BaO2 and NO+2 unpaired electron are present in:
(A) KO2 (B) BaO2 (C) NO+2 and BaO2 (D) KO2 and AlO–2 The Correct Answer is (A) KO2 Solution: KO2 contain... View Article
Which of the following can be the nth term of an AP?
(A) n3 + 1 (B) 4n + 3 (C) 3n2 + 5 (D) None OfThese The Correct Answer is (B)... View Article
