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Write in ascending order: 2 ∛5 and 3 ∛2.

The given terms are 2 ∛5 and 3 ∛2.\(\begin{array}{l}2 \sqrt[3]{5}=\sqrt[3]{2 \times 2 \times 2 \times 5}=\sqrt[3]{40}\\ 3 \sqrt[3]{2}=\sqrt[3]{3 \times 3... View Article

A tank of cylindrical shape has a radius of 2.8 m and its height of 3.5 m. Complete the activity to find how many litres of water the tank will contain.

Capacity of water tank = Volume of the cylindrical tank\(\begin{array}{l}=\pi r^{2} h \\ =22 / 7 \times 2.8 \times 2.8... View Article

On one day a rickshaw puller earned Rs. 160. Out of his earnings, he spent 26 (3 / 5) on tea and snacks, Rs. 50 (1 / 2) on food and Rs. 16 (2 / 5) on repairs of the rickshaw. How much did he save on that day?

Total Earnings = Rs 160 Amount spent on tea and snacks = Rs 26 (3 / 5) Amount spent on... View Article

Simplify: 16 – 8 + 4 × 2 + 8.

16 – 8 + 8 + 8=> 16 – 8 + 16=> 32 – 8=> 24

Integrate ∫(sin³ x – cos³ x) / (sin² x cos² x) dx.

∫(sin3 x – cos3 x) / (sin2 x cos2 x) dx\(\begin{array}{l}\frac{\sin ^{3} x}{\sin ^{2} x \cos ^{2} x}-\frac{\cos ^{3} x}{\sin... View Article

The mean of eleven numbers is 47. If a number is added then the mean is increased by 2. Find the new number.

The mean of eleven numbers is 47.The sum of 11 numbers = 11 × 47 = 517Let the new number... View Article

If P (5, r) = P (6, r – 1). find r.

P (5, r) = P (6, r – 1)\(\begin{array}{l}\Rightarrow \frac{5 !}{(5-r) !}=\frac{6 !}{\{6-(r-1)\} !} \\ \Rightarrow \frac{5 !}{(5-r) !}=\frac{6 \times... View Article

Solve the following equation: cos 2x + 3 sinx = 2.

cos 2x + 3 sinx = 2Put cos 2x = 1 – 2 sin2 x\(\begin{array}{l}2 \sin ^{2} x-3 \sin x+1=0... View Article

The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon.

The sum of interior angles of a regular polygon is twice the sum of its exterior angles. The sum of... View Article

Simplify: 6 / (2√3 – √6) + √6 / (√3 + √2) – 4 √3 / (√6 – √2).

6 / (2√3 – √6) + √6 / (√3 + √2) – 4 √3 / (√6 – √2)\(\begin{array}{l}\frac{6(2 \sqrt{3}+\sqrt{6})}{12-6}+\frac{\sqrt{6}(\sqrt{3}-\sqrt{2})}{3-2}-\frac{4 \sqrt{3}(\sqrt{6}+\sqrt{2})}{6-2}... View Article

Explain Why Soft Drink Bottles Are Sealed Under High Pressure?

The solubility of the gas in a liquid is directly proportional to the pressure of the gas. Therefore, to increase... View Article

Both Chasmogamous And Cleistogamous Flowers Are Present In (A) Rosa. (B) Gossypium. (C) Commelina. (D) Helianthus.

The correct answer is (C) Commelina. Explore more such questions and answers at BYJU’S.

Lowering In Vapour Pressure Is Highest For: (A) 0.2 M Urea.(B) 0.1 M BaCl2.(C) 0.1 M MgSO4.(D) 0.1 M Glucose

The correct answer is (A) 0.2 M urea. Explore more such questions and answers at BYJU’S.

Genetic Recombination Is Due To (A) Mitosis And Meiosis. (B) Fertilization And Meiosis. (C) Fertilization And Mitosis. (D) None Of These

The correct answer is (B) Fertilization And Meiosis. Explore more such questions and answers at BYJU’S.

Kamban Translated Original Text Of Ramayana Into (A) Pali.(B) Tamil. (C) Bengali. (D) Sanskrit.

The correct answer is (B) Tamil. Kamban was a medieval Tamil poet. He translated the original text of Ramayana into... View Article

The Velocity Of Sound In Any Gas Depends Upon (A) Wavelength Of Sound Only.(B) Intensity Of Sound Waves Only. (C) Density And Elasticity Of Gas. (D) Amplitude And Frequency Of Sound.

The correct answer is (C) Density And Elasticity Of Gas. Explore more such questions and answers at BYJU’S.

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