Which of the following is the least part if 128 is divided into four parts proportional to 4, 7, 9 and 12.
Numbers proportional to 4, 7, 9 and 12 are 4x ,7x, 9x, 12x respectively.
4x + 7x + 9x + 12x =128
32x = 128
x = 4
4x =16
Select the number which is not prime.
201 is divisible by 3. So, it is not a prime number.
What is the value of the given expression: (125 × 5^{6}) = ?
(125 × 5^{6}) = 5^{3} × 5^{6} = 5^{3+6}
What smallest number must be added to 6036, so that the sum is completely divisible by 14?
Required number = (14 – 2) = 12
If there are two odd numbers say x and y, then which of the following expression is even?
The sum of two odd numbers is even. So, x + y is even.
What is the value of given number sentence? 144 × 36^{2} ÷ 432 =?
144 × 36^{2} ÷ 432 = 144 × 1296 ÷ 432
= 144 × 3 = 432
Solve the following:
43729 × 999 = ?
43729 × 9999 = 43729 × (1000 – 1)
= 43729 × 1000 – 43729 × 1
= 43729000 – 43729
= 436 85271
Which of the following is the smallest whole number if the number 418 * 342 is completely divisible by 3?
Sum of digits = (4 + 1 + 8 + x + 3 + 4 + 2) =
(22 + x), which must be divisible by 3.
∴ x = 2
Choose the correct number that can replace the question mark (?).
(?) – 18637 – 23994 = 9977
(?) – 18637 – 23994 = 9977
(?) = 9977 + 18637 + 23994
= 52608
Which of the following is the largest 3digit prime number?
997 is the largest 3 digit prime number.
Choose the number which is not prime number?
627 is divisible by 3. Hence it is not a prime number.
How many prime numbers exist between 400 and 500?
Prime numbers between 400 and 500 are:
401 409 419 421 431 433 439 443
449 457 461 463 467 479 487 491
499
The sum of 65 natural number is:
Sum of all the first n natural numbers
How many prime numbers are less than 40?
Prime numbers less than 40 are:
2 3 5 7 11 13 17 19 23 29 31 37
The algebraic expression 7^{3n}– 4^{2n} has a factor:
7^{3n} – 4^{2n} = (7^{3}) n – (42) n
= (343)^{n} – (16)^{n}
Thus 343 – 16 is a factor i.e. 327 is a factor of 7^{3n} – 4^{2n}
Which of the following rational numbers should be subtracted from 4/5to get 0.5?
4/5 = 0.8
Hence, required number = 0.8 – 0.50 = 0.3
The additive inverse of 7.22 is added to the additive identity of 3.6. What is the sum obtained?
Additive inverse of 7.22 = – 7.22
Additive identity of 3.6 = 0
Hence, sum of – 7.22 and 0 = – 7.22
The multiplicative inverse of is added to the additive inverse of . Find the sum.
Multiplicative inverse of
1/5 is first taken away from 1.5 and then 6/5 is added to the result. Which of the following is the new rational number obtained?
The rational number 3.78 is increased by 1/5 and then is subtracted from the result. Find the new rational number.
[{(3.78 + 1/5)  2}  1/4]
=> {(3.98)  2}  1/4
=> 1.98  1/4
=> 1.73
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