Description : If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is (a) 4 (b) 2 (c) 1 (d) 3
Last Answer : (b) 2
Description : So, I think my mind just broke. Why is the sum of all integers -1/12?
Last Answer : answer:The video lost me about 40 seconds in then he made this leap from 1+2+3+4… to 1+ x2 + 2x squared and so on. That may be obvious to a mathematician, but to me it was a giant leap of faith. And logically it doesn’t make sense either. So I am just as confused as you are.
Description : What are the properties of the power set of the set of all integers?
Last Answer : answer:Do you know what a power set is? If not, see the definition. Basically, you are dealing with sets instead of numbers. Each element of the domain and codomain is either a set of integers or ... or not explained enough in this answer. If you need me to elaborate on anything here, let me know.
Description : The sum of three consecutive integers is 36. What is the largest of the three integers? The correct answer is 13.?
Last Answer : The sum of three consecutive integers is 36. (x - 1) + x + (x + 1) = 36 13 is the largest of the three integers.
Description : LCM of the given number ̳x‘ and ̳y‘ where y is a multiple of ̳x‘ is given by (a) x (b) y (c) xy (d) xy
Last Answer : (b) y
Description : The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, then the other number is? a) 100 b) 125 c) 250 d) 225 e) 180
Last Answer : LCM = 45× HCF LCM + HCF = 46× HCF = 1150 HCF = 25, LCM =1125. product of 2 numbers = LCM×HCF required number = (25× 1125) / 125 = 225. Answer: d)
Description : Is there any way to manipulate a sine function such that the amplitude when it is positive is larger than when it is negative?
Last Answer : Herp derp. I think I have an effective solution. Not quite what I was looking for, but. Just a slight vertical shift upwards. More of the wave will then lie above the x axis. If anyone has something better, do chime in!
Description : The values of the remainder r, when a positive integer a is divided by 3 are (a) 0, 1, 2(b) Only 1 (c) Only 0 or 1 (d) 1, 2
Last Answer : (a) 0, 1, 2
Description : The zeroes of the quadratic polynomial x 2 + 99x + 127 are (a) both positive (b) both negative (c) one positive and one negative(d) both equal
Last Answer : (b) both negative
Description : An integer is chosen at random from the first two hundred positive integers. What is the probability that the integer chosen is divisible by 6 or 8 ? -Maths 9th
Last Answer : As there are 200 integers, total number of exhaustive, mutually exclusive and equally likely cases, i.e, n(S) = 200 Let A : Event of integer chosen from 1 to 200 being divisible by 6⇒ n(A) = 33 \(\bigg(rac{200}{6}=33rac{1}{3}\ ... (rac{25}{200}\) - \(rac{8}{200}\) = \(rac{50}{200}\) = \(rac{1}{4}\).
Description : If a, b, c are distinct positive integers, then ax^(b–c) + bx^(c–a) + cx^(a–b) is -Maths 9th
Last Answer : answer:
Description : Let ABCD be a parallellogram. Let m and n be positive integers such that n < m < 2n. Let AC = 2 mn -Maths 9th
Description : Which of the following is not the same set of numbers A) counting numbers (B) positive integers (C) whole numbers (D) natural numbers?
Last Answer : C. whole numbers can be negative and don't match the other sets
Description : Which number is a counterexample for the following conjectureConjecture: All integers are either positive or negative.?
Last Answer : A+0
Description : If `21168=x^(4)xxy^(3)xxz^(2)`, find `(x+y+z)^((y+z)/(x+y))`, where `x, y` and `z` are positive integers.
Last Answer : If `21168=x^(4)xxy^(3)xxz^(2)`, find `(x+y+z)^((y+z)/(x+y))`, where `x, y` and `z` are positive integers.
Description : Consider the following statements : `1.` `Nuu(BnnZ)=(NuuB)nnZ` for any subset `B` of `R`, where `N` is the set of positive integers, `Z` is the set of
Last Answer : Consider the following statements : `1.` `Nuu(BnnZ)=(NuuB)nnZ` for any subset `B` of `R`, where `N` is the ... Both `1` and `2` D. Neither `1` nor `2`
Description : If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?
Last Answer : I think you mean the roots are prime numbers.Let the two roots be primes p and qThen the equation factorises to (x - p)(x - q) = 0 which can beexpanded to give:x² - (p + q)x + pq = 0Which comparing ... = 2(It doesn't matter if the other prime is even (2) or not as itcancels out from a - b.)
Description : Think of 5 positive integers that have a mode of 4 and 6, a median of 6 and a mean of 7.?
Last Answer : Think of 5 positive integers that have a mode of 4 and 6, a median of 6 and a mean of 7.
Description : The relation "divides" on a set of positive integers is .................. (A) Symmetric and transitive (B) Anti symmetric and transitive (C) Symmetric only (D) Transitive only
Last Answer : (B) Anti symmetric and transitive Explanation: The ‘divide’ operation is antisymmetric because if a divides b does not necessarily implies that b divides a. If a divides b and b divides c then a divides c. So, it is transitive as well.
Description : Let P(m,n) be the statement m divides n where the Universe of discourse for both the variables is the set of positive integers. Determine the truth values of the following propositions. (a) ∃m ∀n P(m,n) (b) ∀n P(1,n) ( ... -False (C) (a)-False; (b)-False; (c)-False (D) (a)-True; (b)-True; (c)-True
Last Answer : Answer: A
Description : How can two infinite sets not have one to one correspondence with each other?
Last Answer : You've missed what an infinite set means. Consider this definition: Infinite sets are the sets containing an uncountable or infinite number of elements. Infinite sets are also called uncountable sets. That is ... . Or for the set of all positive integers and the set of all negative integers .
Description : If somebody choose two digit and three digit numbers and their difference is 989.What will be their sum? a) 1000 b)1010 c) 1006?
Last Answer : None of the above. Let x be the three digit number and y be the two digit number. x - y =989. x = 989 + y. x is obviously greater than 989 and less than 1000 (since it is three digits). Since y is a two digit number ... 989 + 10 = 999. We can't go any higher, so x =999 and y=10. x+y = 999+10 = 1009
Description : How can we derive the expression for cross product of two vectors?
Last Answer : Here is a video that shows where the term cross comes from. Two vectors in a 3D space when “multiplied” by each other result in a third vector that represents how they “cross” each other.
Description : What is the probability of getting two pinks balls?
Last Answer : Wow. There are two ways of solving this question. One way uses recursive probability theory and the other way uses an elegant guess. Wrong site for mathematics questions?
Description : Is there a way to factor a matrix into two matrices with this special property? (see details)
Last Answer : My gut feeling is that this cannot be done. If it could, it would be such an extraordinary result that I am sure that I would have heard of it. I would think that in general integer matrices can not be factored as the product of integer matrices.
Description : Why don't these two identical math equations equal the same thing? (See picture.)
Last Answer : Once the gif started cutting the boxes into pieces, it’s all optical illusion. they changed the number of boxes in the rectangle with that little geometric magic.
Description : If m and n are two odd prime numbers such that m (a) an even number (b) an odd number (c) an odd prime number (d) a prime number
Last Answer : (a) an even number
Description : H.C.F of two prime numbers is (a) 1 (b) 0 (c) 3 (d) 2
Last Answer : (a) 1
Description : The decimal expansion of the rational number 23/(2 2 . 5) will terminate after (a) one decimal place (b) two decimal places (c) three decimal places (d) more than 3 decimal places
Last Answer : (b) two decimal places
Description : The sum or difference of of two irrational numbers is always (a) rational (b) irrational (c) rational or irrational (d) not determined
Last Answer : (b) irrational
Description : The sum of two irrational numbers is always (a) irrational (b) rational (c) rational or irrational (d) one
Last Answer : (a) irrational
Description : The product of two different irrational numbers is always (a) rational (b) irrational (c) both of above (d) none of above
Description : Areas of two similar triangles are 36 cm 2 and 100 cm 2 . If the length of a side of thelarger triangle is 20 cm, then the length of the corresponding side of the smaller triangle is: (a) 12cm (b) 13cm (c) 14cm (d) 15cm
Last Answer : (a) 12cm
Description : Match the column: 1. In and ÆB = ÆC PQ PR (A) AA similarity criterion = 2. In and A = = 3. In and (B) SSS similarity criterion (C) BPT ÆB = ÆC = BC PQ PR QR 4. In , DE ÆD = ÆE BD CE (D) SAS similarity ... 7. Areas of these triangles are in the ratio (a) 9 : 35 (b) 9 : 49 (c) 49 : 9 (d) 9 : 42
Last Answer : (b) 9 : 49
Description : The maximum number of zeroes that a polynomial of degree 4 can have is (a) One (b) Two (c) Three (d) Four
Last Answer : (d) Four
Description : Now it was Ravi‘s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is greater than 8? a. 1 b. 5/36 c. 1/18 d. 5/18
Last Answer : d. 5/18
Description : Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7? a. 5/9 b. 5/36 c. 1/6 d. 0
Last Answer : c. 1/6
Description : Now it was Ravi‘s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12? a. 1 b. 5/36 c. 1/18 d. 0
Last Answer : a. 1
Description : Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13? a. 1 b. 5/36 c. 1/18 d. 0
Last Answer : d. 0
Description : Two dice are thrown together. Find the probability that the sum of the numbers obtained is even a. 1/4 b. 1/6 c. 1/3 d. 1/2
Last Answer : d. 1/2
Description : If lines corresponding to given linear equations are coincident, the solutionof the given equations is: e) Unique solution f) Two solutionsg) Infintely many solutions h) No solution
Last Answer : g) Infintely many solutions
Description : The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4
Last Answer : (c) 4 : 1
Description : The 2 digit number which becomes (5/6)th of itself when its digits are reversed. The difference in the digits of the number being 1, then the two digits number is (a) 45 (b) 54 (c) 36 (d) None of these
Last Answer : (b) 54
Description : If lines corresponding to given linear equations are coincident, the solutionof the given equations is: a) Unique solution b) Two solutions c) Infintely many solutions d) No solution
Last Answer : c) Infintely many solutions
Description : . The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4
Description : Which of the following pair of linear equations represent the two parallel tracks of the railway line? a) x-2y-4=0 and 2x + 4y - 12 = 0 c) 2x + 4y -12 = 0 and x +2y-4=0 b) x +2y-4=0 and 2x + 4y +12 = 0 d) 2x + 4y + 12 = 0 and x-2y-4=0
Last Answer : c) 2x + 4y -12 = 0 and x +2y-4=0
Description : Out of the following linear equations in two variables, the two representing a pair of parallel lines graphically are: 3x - 4y = 6 3x + 4y = 6 6x + 8y = 12 6x - 8y + 6 = 0 (a) 3x - 4y = 6 and 6x + 8y = 12 (b) 3x - 4y = 6 ... 6 = 0 (c) 6x + 8y = 12 and 3x + 4y = 6 (d) 6x - 8y + 6 = 0 and 3x + 4y = 6
Last Answer : (b) 3x - 4y = 6 and 6x - 8y + 6 = 0
Description : In the following figure ABCD is a cyclic quadrilateral, the sum of degree measures of ∠A and ∠D is: (SOURCE: Fig. 3.7, Exercise 3.7, Chapter 3, PAIR of LINEAR EQUATIONS in TWO VARIABLES, NCERT, Class X) (a) 120° (b) 180° (c) 230°(d) 250°
Last Answer : (c) 230°
Description : If (x, y) is a solution of the following pair of linear equations in two variables, then the value of expression (√ is: x + 2y = 4 and 3x - y = 5 (a) 2 (b) 3 (c) 4 (d) √2
Last Answer : (a) 2