Factorise 2x square -3x + 1.
Given, 2x square -3x + 1 This can be written as 2x2 – 3x + 1 Let us factorise this... View Article
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If two positive integers a and b are written as a = x3y2 and b = xy3 where x, y are prime numbers, then find HCF of a and b.
Given, a = x3y2 = (x) × (x) × (x) × (y) × (y) b = xy3 = (x) ×... View Article
Convert 40° 20′ into radian measure.
We know that, 1 degree = 60 min or 1° = 60′40° 20′ = 40° + 20′= 40° + (20°/60°)=... View Article
How many sides does a triangle have?
A triangle has 3 sides. It is a three-sided closed two-dimensional figure. Thus, a triangle contains 3 sides and 3... View Article
If x = 2, then (x – 1)(2x – 3) =
Given,x = 2Substituting the given value in (x – 1)(2x – 3),(2 – 1)[2(2) – 3]= 1(4 – 3)= 1Therefore,... View Article
The representation of octal number (532.2)8 in decimal is
To convert an octal number to decimal number, multiply each digit of the given octal with the reducing power of... View Article
The value of (8-25 – 8-26) is
(A) 7 × 8-25 (B) 7 × 8-26 (C) 8 × 8-26 (D) None of the above Correct option: (B)... View Article
For any set A, (A’)’ is equal to
(a) A’(b) A(c) Φ(d) None of theseCorrect option: (b) AFor any set A, (A’)’ is equal to A.
Which of the following are not perfect cubes?
(i) 216 (ii) 128 (iii) 1000Let us verify the given numbers using prime factors.(i) 216Prime factorisation of 216 = 2... View Article
The identity element of subtraction is
The identity element of subtraction is not defined. However, as we know, that identity element is a number that, when... View Article
(-5) + (-8) = (-8) + (____)
LHS = (-5) + (-8)= -5 – 8 = -13LHS = RHS -13 = (-8) + (____)-13 + 8 =... View Article
The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in metre square.
Given,Length of the roller (h) = 120 cm Diameter of the roller (d) = 84 cmThus, the radius of the... View Article
If 27x = 9/3x, find x.
Given, 27x = 9/3x (33)x = 9/3x 33x = 32/3x 33x = 32 – x Bases are equal, so equate... View Article
Reduce in standard form 36/-24.
The reduced form will be obtained when there is no negative sign in denominator and fractors are simplified.Let us find... View Article
What is the degree of a quadratic equation?
The quadratic equation is also called a polynomial equation as it contains only powers of x that are non-negative integers.... View Article
By what number should -33/16 be divided to get -22/8?
Let x be the number by which -33/16 is divided.(-33/16) ÷ x = -22/8x = (-33/16) × (-8/22)x = (3/2)... View Article
Choose the correct option. On an average, a content developer can develop 6 questions in an hour. Resource manager wants to complete the project of 2400 questions in 20 hours. How many developers should he take in his team?
(a) 30(b) 20(c) 40(d) 10Correct option: (b) 20Given,1 person – 1 hour – 6 questionsx persons – 20 hours –... View Article
The distance between two towns is 300 km. Two cars start simultaneously from these towns and move towards each other. The speed of one car is more than the other by 7km per hour. If the distance between the cars after 2 hours in 34km, find the speed of the cars.
Let’s assume the speed of the slower car to be x km/hr Then, the speed of the faster car will... View Article
If there are 150 babies born every minute, how many babies share the same birth date world wide? (a)2,24,000 (b) 2,16,000 (c) 2,25,000 (d) 2,18,000
Answer: (b) 2,16,000 There are 60 minutes in an hour and 24 hours in a day. So, 24 × 60... View Article
What is the remainder when 2000 power 1000 is divided by 13?
When 2000 is divided by 13, we get remainder 11Now, 111000 = 121500Also, 121/13 gives remainder 4. And, we have... View Article
