Maths 3 Mark Question

Product of two numbers = 504347
One of the two numbers = 1591
Let the number be A.
Therefore, A × 1591 = 504347

A = 5043471591 = 317

Here, in the units digit, 13 - 7 = 6In the tens digit, 9 - 8 = 1
In the hundreds place, 9 - 9 = 0
And in the thousands place, 10 - 6 = 4.
Addend difference = 4844016.
So, in order to get the addend, we will subtract 4844016 from 5001003.

1. 9 × 9 + 7 =88
2. 98 × 9 + 6 = 888
3. 987 × 9 + 5 = 8888
4. 9876 × 9 + 4 = 88888
5. 98765 × 9 + 3 = 888888
6. 987654 × 9 + 2 = 8888888
7. 9876543 × 9 + 1 = 88888888

The complete subtraction is shown below:
Thus, the the digits replaced are circled as below:

1 + 3 = 2 × 2
1 + 3 + 5 = 3 × 3
1 + 3 + 5 + 7 = 4 × 4
1 + 3 + 5 + 7 + 9 = 5 × 5
By observing the above pattern, find:

1. 1 + 3 + 5 + 7 + 9 + 11

= 6 × 6

= 36

2. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15

= 8 × 8

= 64

3. 21 + 23 + 25 + … + 51

= (21 + 23 + 25 + __ + 51) can also be written as

(1 + 3 + 5 + 7 + __ + 49 + 51) -(1 + 3 + 5 + __ + 17 + 19)

(1+ 3 + 5 + 7 + __ + 49 + 51)= 26 × 26 = 676

and, (1 + 3 + 5 + __ + 17 + 19 ) = 10 × 10 = 100

Now,

( 21 + 23 + 25 + __ + 51 )= 676 - 100 = 576

Thus sum 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48 has to be evaluated using rearrangement.
We observe that,
2 + 48 = 50
3 + 47 = 50
4 + 46 = 50
5 + 45 = 50
Therefore 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48
= (5 + 45) (4 + 46) + (3 + 47) + (2 + 48)
= 50 + 50 + 50 + 50
= 200
Hence, 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48 = 200.

Cost of 1 color television set = Rs. 19820
Therefore,
Cost of 125 color television sets = Rs. (19820 × 125)
= Rs. 19820 × (100 + 25)
= Rs. (19820 × 100) + (19820 × 25)
= Rs. 1982000 + 495500
= Rs. 2477500

Here, it is clear that in the units place, 9 - 4 = 5
And in the tens place, 8 - 3 = 5.
We can now easily find out the other missing blanks by subtracting 3455 from 8989. Addend (difference) = 3455
Thus, the correct answer is:

Here, we can we see that in the units digit, 6 - * = 7, which means that the value of * is 9, as 1 gets carried from 7 at tens place to 6 at unit place and 6 at unit digit becomes 16 then 16 - 9 = 7
Now, when 7 gives 1 to 6, it becomes 6, so 6 - 3 = 3.
Also, it can be easily deduced that in (8 - * = 6), the value of * is 2

In magic square the numbers in each vertical, horizontal, and diagonal row add up to the same value. Sum of diagonal elements = 2 + 12 + 7 + 17 = 38 Now, Missing element in the first column = 38 - (2 + 9 + 14) = 38 - 25 = 13 Missing element in the first row = 38 - (2 + 15 + 16) = 38 - 33 = 5 Missing element in the second row and fourth column = 38 - (5 + 10 + 17) = 38 - 32 = 6 Missing element in the second row and third column = 38 - (9 + 12 + 6) = 38 - 27 = 11 Missing element in the fourth row and third column = 38 - (16 + 11 + 7) = 38 - 34 = 4 Missing element in the third row and third column = 38 - (13 + 7 + 10) = 38 - 30 = 8 Missing element in the fourth row and second column = 38 - (14 + 4 + 17) = 38 - 35 = 3 Hence, the complete magic square is

Let us divide 57086 by 247 using long division method.

Here, divisor = 247, dividend = 57086, quotient = 231 and remainder = 29.
Now,
Dividend = divisor × quotient + remainder
= 247 × 231 + 29
= 57057 + 29
= 57086

It is clear from the units place that 11 - 9 = 2
Addend difference = 54322
To get the other addend, we will subtract 54322 from 111111

Thus, the other addend is 56789.
The correct answer is:

It can be seen that diagonally, 20 + 19 + 18 + 17 + 16 = 90.
Thus,
Number in the second cell of the first row = 90 - (22 + 6 + 13 + 20) = 29
Number in the first cell of the second row = 90 - (22 + 9 + 15 + 16) = 28
Number in the fifth cell of the second row = 90 - (28 + 10 + 12 + 19) = 21
Number in the fifth cell of the third row = 90 - (9 + 11 + 18 + 25) = 27
Number in the fifth cell of the fourth row = 90 - (15 + 17 + 24 + 26) = 8
Number in the second cell of the fifth row = 90 - (29 + 10 + 11 + 17) = 23
Number in the third cell of the fifth row = 90 - (6 + 12 + 18 + 24) = 30

22	29	6	13	20
28	10	12	19	21
9	11	18	25	27
15	17	24	26	8
16	23	30	7	14

Number of large buildings = 22
Number of small buildings = 15
Number of floors in 1 large building = 10
Number of apartments on 1 floor = 2
Therefore, Total apartments in 1 large building = 10 × 2 = 20
Similarly, Total apartments in 1 small building = 12 × 3 = 36
Therefore,
Total apartments in the entire housing complex = (22 × 20) + (15 × 36)
= 440 + 540
= 980

Here, in the units digit, 17 - 8 = 9
In the tens digit, 9 - 7 = 2
In the hundreds place, 10 - 9 = 1
And in the thousands place, 9 - 8 = 1.
Addend difference = 5061129.
So, in order to get the addend, we will subtract 5061129 from 6000107.

Thus, the correct answer is:

1 + 2 + 3 + 4 + 1996 + 1997 + 1998 + 1999
Therefore,
99 + 1 = 100
98 + 2 = 100
97 + 3 = 100
And,
96 + 4 = 100
Therefore,
(1 + 1999) + (2 + 1998) + (3 + 1997) + (4 + 1996)
= 2000 + 2000 + 2000 + 2000 = 8000

The largest five - digit number = 9999
The largest number of three digits = 999
Therefore,
Product of the largest three - digit number and the largest five - digit number
= 9999 × 999
= 9999 × (1000 - 1)
= (9999 × 1000) - (9999 × 1)
= 9999000 - 9999
= 9989001

Dividend = 59761
Quotient = 189
Remainder = 37
Divisor = A
Now, Dividend = Divisor × Quotient + Remainder
59761 = A × 189 + 37
59761 - 37 = A × 189
59724 = A × 18
Therefore, A = 59724189
= 316

10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20
10 + 20 = 30
1 + 9 = 10
2 + 8 = 10
3 + 7 = 10
And,
4 + 6 = 10
Therefore,
(10 + 20) + (11 + 19) + (12 + 18) + (13 + 17) + (14 + 16)
= 30 + 30 + 30 + 30 + 30 + 15
= 150 + 15
= 165

Here, divisor = 299, dividend = 55390 and remainder = 75. dividend = divisor × quotient + remainder ⇒ 55390 = 299 × quotient + 75 ⇒ 299 × quotient = 55390 − 75 = 55315 ⇒ quotient. = 55315 ÷ 299 = 185
Hence, the quotient is 185.

It can be seen that diagonally, 13 + 12 + 11 = 36.
Thus,
Number in the first cell of the first row = 36 - (8 + 13) = 15
Number in the first cell of the second row = 36 - (15 + 11) = 10
Number in the third cell of the second row = 36 - (10 + 12) = 14
Number in the second cell of the third row = 36 - (8 + 12) = 16
Number in the third cell of the third row = 36 - (11 + 16) = 9

15	8	13
10	12	141
11	16	9

Dividend = 55390
Divisor = 299
Remainder = 75
Quotient = A
Dividend = Divisor × Quotient + Remainder
55390 = 299 × A + 75
55390 - 75 = A × 299
55315 = A × 299
Therefore, A = 55315299
= 185