10th
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- The difference between two numbers is 16. The greater number is 1 more than twice the smaller number. Answer: The numbers are 31 and 15. Let the greater number be x and the smaller y . x - y = 16 (1) x = 2y + 1 (2) Substitute (2) in (1): 2y +... 1
- The sum of two numbers is 70. Three times the greater number is equal to four times the smaller number. Answer: The numbers are 40 and 30. Let the greater number be x and the smaller y . x + y = 70 (1) 3x = 4y ⇒ x = 4y/3 (2) Substitute (2) in (... 1
- Ina a cyclic quadrilateral ABCD, measure of angle A is double the measure of angle C. Answer: ∠A = 120°, ∠C = 60° Opposite angles of a cyclic quadrilateral are supplementary, so ∠ A + ∠ C = 180^° Given ∠ A = 2∠ C . Let ∠ C = x... 1
- The perimeter of an isosceles triangle is 27 cm and the length of the congruent sides is greater Answer: The sides are 11 cm, 11 cm and 5 cm (base). Let the base be x cm. Each congruent side is 1 cm more than twice the base: 2x + 1 cm. x... 1
- In a right – angled triangle, one of the acute angles exceeds the other by 200 Answer: The acute angles are 55° and 35°. In a right-angled triangle, the two acute angles add up to 90° (since the angle sum is 180° and on... 1
- The difference between two numbers is 5. Six times the smaller number is equal to four times the greater Answer: The numbers are 15 and 10. Let the greater number be x and the smaller y . x - y = 5 (1) 6y = 4x ⇒ 2x - 3y = 0 (2) From (1), x = y +... 1
- The perimeter of an isosceles triangle is 43cm. The length of its each congruent side is 1 cm less than twice the Answer: The sides are 17 cm, 17 cm and 9 cm (base). Let the base be x cm. Each congruent side is 1 less than twice the base: 2x - 1 cm. Peri... 1
- Cost of a table is three times the cost of a chair. One table and one chair together cost Rs. 800. Answer: The table costs Rs. 600. Let the cost of a chair be Rs. x . Then a table costs Rs. 3x . x + 3x = 800 4x = 800 ⇒ x = 200 Chair = Rs.... 1
- Ram has in all 35 coins, some of denomination 25 paise and some of 10 paise. Total amount is Rs. 6.20. Answer: 18 coins of 25 paise and 17 coins of 10 paise Let the number of 25 paise coins be x and of 10 paise coins be y . Rs. 6.20 = 620 pais... 1
- The sum of the present ages of Ram and Shyam is 36 years. Ram is elder than Shyam by 2 years. Find their present ages. Given data: The sum of the present ages of Ram and Shyam is 36 years: Ram + Shyam = 36 Ram is elder than Shyam by 2 years: Ram = Shyam + 2 W... 1
- The length of a rectangle is greater than twice its breadth by 4 cm. If the perimeter of the rectangle is 26 cm, Answer: Length = 10 cm, Breadth = 3 cm Let the breadth be x cm. The length is 4 cm more than twice the breadth, so length = 2x + 4 cm. Perim... 1
- The sum of the two numbers is 25 and the difference between them is 15. Find the two numbers. Let's solve the problem step by step: Let the two numbers be 'x' and 'y'. Given information: The sum of the two numbers is 25: x + y = 25. T... 1
- The sum of two numbers is 40 and the greater number is thrice the smaller number. Find the numbers. Let's solve the problem step by step: Let the smaller number be 'x' and the greater number be 'y'. Given information: The sum of two numbers... 1
- Suresh scored 15 marks more than Ramesh in Mathematics. If the sum of their marks in Mathematics is 275, Let the marks obtained by Ramesh in Mathematics be 'R' and the marks obtained by Suresh be 'S'. Given information: Suresh scored 15 marks mo... 1
- A boat running downstream covers a distance of 20 km in 2 hours while for covering the same distance upstream, it takes These types of questions are the real-time examples of linear equations in two variables. In water, the direction along the stream is called... 1
- Find the first negative term of an AP series 55 , 50 , 45 ,40 ,..? Here , a=55 d=55-50= -5 Let the n^th term of the given AP be the first negative term . Then , a_n<0 =( a+(n-1)d )<0 =( 55+(n-1)(-5) )<0 =( 5... 1
- Are there any similarities between brazil and india types of forest's found? Answer: Yes. Both India and Brazil lie mostly in the tropical zone, so they have several similar types of forests. Similarities Tropical eve... 1
- Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km Let the speed of the rickshaw be x km/h Let the speed of the bus be y km/h. Time taken to travel 2 km by rickshaw, t₁ = 2/x hours. Time take... 1
- The sum of two numbers is 60. The greater number is 8 more than thrice the smaller number. Find the numbers. Let assume two numbers be x and y x be the greater number and y be smaller number According to first statement in question x+y=60 ------(equ... 2
- The ratio of corresponding sides of similar triangles is 3:5 then find the ratio of their areas Let the corresponding sides of similar triangle be S1 and S2 , and Areas be A1 and A2 . we know that , S1:S2 =3:5 therefore S₁/S₂=4/5 A₁/A₂=... 1
- What is the weight on mars To find out the weights of five friends on the moon and Mars, we need to first understand how the weight of an object changes in different g... 2
- Explain the term earth gravitational force The term "Earth gravitational force" refers to the force that pulls objects towards the Earth. It's the reason things fall when you drop the... 1
- Describe the importance of himalayas Importance of Himalayas: The Himalayas acts as a barrier protecting the great Plains of India from the cold winds of Central Asia during the... 2
- Weight of the person on the mars Person on Mars would weigh 37.83% its weight on earth. 1