Numbers

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4235

Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.


46. What least number must be added to 1056, so that the sum is completely divisible by 23 ?

A. 2

B.18

C. 3

D. 21


Answer

                  Ans: Option A

       Explanation:

       No explanation


47. What will be remainder when (6767 + 67) is divided by 68?

A. 1

B. 63

C. 66

D. 67


Answer

                  Ans: Option C

       Explanation:

       (xn + 1) will be divisible by (x + 1) only when n is odd.

       (6767 + 1) will be divisible by (67 + 1)

       (6767 + 1) + 66, when divided by 68 will give 66 as remainder.


48. Eight apples are taken from a basket containing two more than four times as many apples. How many are left in the basket?

A. 34

B. 26

C. 28

D. 36


Answer

                  Ans: Option B

       Explanation:

       No explanation


49. Eight apples are taken from a basket containing two more than four times as many apples. How many are left in the basket?

A. 34

B. 26

C. 28

D. 36


Answer

                  Ans: Option B

       Explanation:

       Total no. of apples = 2+4*(8) = 34

       No. of apples left = 34-8 =26


50. What least number must be added to 1056, so that the sum is completely divisible by 23 ?

A.2

B.3

C.18

D.21


Answer

                  Ans: Option A

       Explanation:

       Explanation:

       23) 1056 (45

              92

               —

              136

              115

                —

                21

                 —  

       Required number = (23 – 21)   

                 = 2.  


51. Which of the following can be a product of two 3-digit numbers **3 and ** 8 ?

 A. 1010024

 B. 9124

 C. 991014

 D. None


Answer

                  Ans: Option C

       Explanation:

       When two 3-digit numbers are multiplied, the product must consist of 5 or 6 digits only.

       Product cannot contain 4 or 7 digits.

       So, the required number can be 991014.


52. The difference between the place value and the face value of 6 in the numeral 856973 is

A.973

B.6973

C.5994

D.None of these


Answer

                  Ans: Option C

       Explanation:

       (Place value of 6) – (Face value of 6) = (6000 – 6) = 5994


 

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