CBSE Class 8 Mathematics A Square and A Cube MCQs Set J

Question. Taxicab numbers are expressed as sum of two cubes in.
(a) 1 way
(b) 2 different ways
(c) 3 ways
(d) 4 ways

Answer: B

Question. If y = x3, then x is the.
(a) square root
(b) cube root
(c) factor
(d) power

Answer: B

Question. Another Sanskrit word for root is.
(a) varga
(b) pada
(c) ghana
(d) krti

Answer: B

Question. Cube of any odd number is always.
(a) even
(b) odd
(c) zero
(d) square

Answer: B

Question. Looking at cubes pattern, 3 + 5 is equal to.
(a) 23
(b) 33
(c) 13
(d) 82

Answer: A

Question. Prime factors of 3375 can be put into.
(a) 2 groups
(b) 3 identical groups
(c) 4 groups
(d) no groups

Answer: B

Question. Is 500 a perfect cube?
(a) yes
(b) no
(c) maybe
(d) yes, 50x10

Answer: B

Question. What is the nᵗʰ odd number?
(a) n²
(b) 2n
(c) 2n – 1
(d) n + 1

Answer: C

Question. The smallest number, which when added to the difference of the squares of 17 and 13 gives a perfect square, is
(a) 1
(b) 2
(c) 4
(d) 5

Answer: A

Question. Brahmagupta was a famous mathematician in.
(a) 499 CE
(b) 628 CE
(c) 1700 BCE
(d) 1900 CE

Answer: B

Question. Sanskrit word for root of a plant is.
(a) pada
(b) mula
(c) varga
(d) krti

Answer: B

Question. "Ghana-mula" means.
(a) square root
(b) cube root
(c) solid cube
(d) root of tree

Answer: B

Question. Aryabhata wrote about varga in the year.
(a) 1700 BCE
(b) 499 CE
(c) 628 CE
(d) 2024

Answer: B

Question. Each prime factor of a cube appears.
(a) one time
(b) two times
(c) three times
(d) four times

Answer: C

Question. Ancient clay tablets with squares were made by.
(a) Indians
(b) Greeks
(c) Babylonians
(d) Romans

Answer: C

Question. The fourth power was called.
(a) varga
(b) ghana
(c) varga-varga
(d) mula

Answer: C

Question. In Sanskrit, "ghana" means.
(a) square
(b) cube
(c) root
(d) zero

Answer: B

Question. How is a number like 3375 determined to be a perfect cube using prime factorization?
(a) Its prime factors are all odd numbers.
(b) Its prime factors can be split into three identical groups.
(c) Its prime factors include only 3 and 5.
(d) Its prime factors can be split into two identical groups.

Answer: B

Question. What is a "taxicab number"?
(a) A number that can be expressed as the sum of two cubes in two different ways
(b) A number that is a perfect cube
(c) A number that ends with 1720
(d) A number that is a perfect square

Answer: A

Question. Can a perfect cube end with 8?
(a) yes
(b) no
(c) never
(d) only for squares

Answer: A