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Aptitude - Number System Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Number System. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - What is the result of the following?

 4 + 44 + 444 + 4.44

Answer : C

Explanation

496.44

Q 2 - (568 x 568 x 568 + 432 x 432 x 432) / (568 x 568 - 568 x 432 + 432 + 432) = ?

Answer : B

Explanation

This is solved using the following formulae:
(a³ + b³) = (a + b)( a² - ab + b²)
The value of (a+b) =
(a³ + b³) / ( a² - ab + b²) =
(568 + 432) = 1000

Q 3 - If p and q are odd numbers, then which of these is even?

Answer : B

Explanation

Sum of two odd numbers is even
Example:
p = 19, q = 37
p + q = 56 i.e. even.

Q 4 - 2 + 2² + 2³ + ... + 2¹¹ = ?

Answer : A

Explanation

G.P: a = 2, r = ^2²⁄₂ = 2, n = 11
S_n = ^{a( rⁿ - 1)}⁄_{(r - 1)} = ^{2 x ( 2¹¹ - 1)}⁄_{(2 - 1)} = 2 x (2048 - 1)
Therefore, S_n = 4094

Q 5 - A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be?

Answer : C

Explanation

Lets x = 296q + 75 = (37 + 8q + 37 x 2) + 1
= 37 + (8q + 2) + 1
When the number is divided by 37, the remainder is 1.

Q 6 - 1² - 2² + 3² - 4² +..+ 9² -10²?

Answer : D

Explanation

   Using formula a² - b² = (a-b)(a+b) 1² - 2² + 3² - 4² +..+ 9² -10² = (1-2)(1+2) + (3-4)(3+4) + (5-6)(5+6) + (7-8)(7+8) + (9-10)(9+10) = (-3) + (-7) + (-11) + (-11) + (-15) + (-19) = -55

Q 7 - 5358 x 51 = y. What is y?

Answer : B

Explanation

  y =5358 x 51  =5358 x (50 + 1)  =5358 x 50 + 5358  =267900 + 5358  =273258

Q 8 - 106 x 106 - 94 x 94 = y. What is y?

Answer : A

Explanation

  y = 106 x 106 - 94 x 94     = (106)^{2^{- (94)^{2^{= (100 + 6)^{2^{- (100 - 6)^{2^{Using formulae (a+b)^{2^{= a^{2^{+ b^{2^{+ 2ab  and  (a-b)^{2^{= a^{2^{+ b^{2^{- 2ab   (a+b)^{2^{- (a-b)^{2^{= 4ab   ∴ y = 4 x 100 x 6  = 2400}}}}}}}}}}}}}}}}}}}}}}}}

Q 9 - Which of the following will be an even number if a and b are odd numbers?

Answer : A

Explanation

Sum of two odd numbers is always even.

Q 10 - 517p324 is divisible by 3. What is minimum p?

Answer : B

Explanation

    5 + 1 + 7 + p + 3 + 2 + 4  = 22 + x  which is divisible by 3  ∴ x = 2