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If the bisector of the vertical angle of a triangle bisects the base, prove that the triangle is isosceles.

Given, in △ABC, AD is a bisector of ∠A and meets base BC at D, such that: BD = DC... View Article

If matrix A is of order 3 x 2 and matrix B is of order 2 x 2 then the matrix AB is of order:

Given, Order of matrix A = 3 x 2 Order of matrix B = 2 x 2 Order of AB = Number of rows of A x Numbers of columns of B = 3 x 2... View Article

The price of sugar is increased by 20%. As a result, a family decreases its consumption by 25%. The expenditure of the family on sugar will be decreased by:

Let the price of sugar be Rs.100 Given, the price of sugar is increased by 20%. New price = Rs.120 Family decreased the consumption of... View Article

A card is drawn from a well shuffled deck of cards. What is the probability that the card drawn is neither a king nor a queen?

Total number of cards in a deck = 52 Number of cards with King and Queen = 4 + 4 = 8 Number of cards that are neither King nor Queen = 52 - 8... View Article

If sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are:

Given, Sum of two numbers = 1215 Let the numbers be x and y. Also, HCF (x, y) = 81 So, 81 x + 81 y = 1215 x + y = 1215/81 x... View Article

The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. the other number is:

Answer: HCF - The largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest... View Article

When 1- Methylcyclohexene is treated with HCL it produces:

(A) 1-Chloro-cyclohexane (B) 1-Chloro-2-methylcyclohexane (C) 1-Chloro-1-methylcyclohexane (D) 2-Chloro-1-methylcyclohexane The Correct... View Article

An element with a molar mass of 27 g/mol forms a cubic unit cell with an edge length of 4.05 * 10-8 cm. If the density of the element is 2.7 g/cm-3. What will be the nature of a cubic unit cell?

(A) Face Centred Cubic (FCC) (B) Cubic-Close packed (CCP) (C) Body-Centred Cubic (BCC) (D) Both (A)and (B) The Correct Answer is (D) Both... View Article

Standard entropy of X2, Y2 and XY3 are 60, 40 and 50 ZJK-1 mol-1, respectively. For the reaction, 1/2X2 + 3/2Y2 → XY3 ; △h =-30kj to be at equilibrium. What will be the temperature?

(A) 500 K (B) 750 K (C) 1000 K (D) 1250 K The Correct Answer is (B) 750 K Solution: 1000 * (-60) = -80 * T Explore more such... View Article

One mole of an ideal gas expands reversibly at a constant temperature of 300 k from an initial volume of 10 lit to a final volume of 20 lit. What will be the work done in expanding the gas?

(A) 750J (B) 1500J (C) 1728J (D) 3456J The Correct Answer is (C) 1728J Solution: As given: Temperature, t =300 k Volume, V1 = 10lit... View Article

A sample of CaCO3 is 50% pure. On heating 1.12 L of CO2 (at STP) is obtained. What is the total amount of residue left (assuming non-volatile impurity)?

(A) 2.8 g (B) 3.8 g (C) 7.8 g (D) 8.9 g The Correct Answer is (C) 7.8 g Solution: The number of moles of CO2 evolved is = 0.05 moles... View Article

100 mL of 0.01M KMnO4 oxidised 100 mL H2O2 in acidic medium. The volume of same KMnO4 required in strong alkaline medium to oxidise 100 mL of same H2O2 is:

(A) 500 mL (B) (C) (D) The Correct Answer is (A) 500 mL Solution: In acidic medium, a milliequivalent of KMnO4 is equals to a... View Article

Sodium phenoxide when heated with CO2 under pressure at 125°C produces ______.

(A) Salol (B) Salicyladehyde (C) Sodium benzoate (D) Sodium Salicylate The Correct Answer is (D) Sodium Salicylate Solution: Sodium... View Article

Which of the following order is true about the flocculation power in the coagulation of negative solution?

(A) Al3+ > Ba2+ > Na+ (B) Ba2+ > Na+ > Al3+ (C) Na+ > Al3+ > Na+ (D) Na+ > Al3+ > Ba2+ The Correct Answer is (A) Al3+... View Article

In an acidic medium, H2O2 changes K2Cr2O7 to CrO5. What is the oxidation state of Cr in CrO5?

(A) +2 (B) +3 (C) +5 (D) +6 The Correct Answer is (D) +6 Solution: In an acidic medium, H2O2 changes K2Cr2O7 to CrO5, which has (−O−O−)... View Article

LPG is a mixture of n-butane & iso-butane. What is the volume of oxygen required to burn 1 kg of LPG at NTP?

(A) 500 L (B) 1000 L (C) 2240 L (D) 2690 L The Correct Answer is (D) 2690 L Solution: The reaction is The molecular weight of C4H10 is... View Article

Assertion: Alcohols are easily protonated than phenols. Reason:Alcohols undergo intermolecular hydrogen bonding due to the presence of highly electronegative oxygen.

(A) Assertion is true, but Reason is false. (B) Both Assertion and Reason are false. (C) Both Assertion and Reason are true. The reason is the... View Article

Four solutions of K2SO4 with the following concentration 0.1m, 0.01m, 0.001m and 0.0001m are available. The maximum value of van’t Hoff factor (i) corresponds to

(A) 0.1 m Solution (B) 0.01 m Solution (C) 0.001 m Solution (D) 0.0001 m Solution The Correct Answer is (D) 0.0001 m Solution Solution:... View Article

What type of chemical reactions is NH3 + HCL → NH4Cl.

(A) Combination Reaction (B) Substitution Reaction (C) Decomposition Reaction (D) Double Displacement Reaction The Correct Answer is (A)... View Article

5.0 g of sodium hydroxide (molar mass 40 g mol–1) is dissolved in little quantity of water and the solution is diluted up to 100 ml. what is the molarity of the resulting solution?

(A) 0.1 mol dm-3 (B) 1.0 mol dm-3 (C) 1.25 mol dm-3 (D) 0.125 mol dm-3 The Correct Answer is (C) 1.25 mol dm-3 Solution: Moles of solute is... View Article