Question
Show that the following pairs are co-primes:512, 945
✓
Answer
Given numbers are 512 and 945.$\begin{array}{c|c}2&512\\\hline2&256\\\hline2&128\\\hline2&64\\\hline2&32\\\hline2&16\\\hline2&8\\\hline2&4\\\hline2&2\\\hline&1\end{array}$
$\begin{array}{c|c}3&315\\\hline3&105\\\hline5&35\\\hline7&7\\\hline&1\end{array}$
Now, $512=2\times2\times2\times2\times2\times2\times2\times2\times2=2^9$
$945=3\times3\times3\times5\times7=3^3\times5\times7$
Thus, the HCF of 512 and 945 is 1.
$\therefore$ 512 and 945 are co-primes.
$\begin{array}{c|c}3&315\\\hline3&105\\\hline5&35\\\hline7&7\\\hline&1\end{array}$
Now, $512=2\times2\times2\times2\times2\times2\times2\times2\times2=2^9$
$945=3\times3\times3\times5\times7=3^3\times5\times7$
Thus, the HCF of 512 and 945 is 1.
$\therefore$ 512 and 945 are co-primes.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Draw a line AB and take two points C and E on opposite sides of AB. Through C, draw $\text{CD}\perp\text{AB}$ and through E draw $\text{EF}\perp\text{AB}.$ ruler and set-squares.
→Draw a line segment AB = 5.6cm. Draw the perpendicular bisector of AB.
The following table shows the daily production of T.V. sets in an industry for 7 days of a week:
Represent the above information by a pictograph.
|
Day
|
Mon
|
Tue
|
Wed
|
Thurs
|
Fri
|
Sat
|
Sun
|
|
Number of T.V. Sets
|
300
|
400
|
150
|
250
|
100
|
350
|
200
|
The following data gives the amount of mature (in thousand tones) manufactured by a company during some years:
|
Year
|
1992
|
1993
|
1994
|
1995
|
1996
|
1997
|
|
Manure (in thousand tonnes)
|
15
|
35
|
45
|
30
|
40
|
20
|
- Represent the above data with the help of a bar graph.
- Indicate will the help of the bar graph the year in which the amount of manure manufactured by the company was maximum.
- Choose the correct alternative.
- 1994 and 1995
- 1992 and 1993
- 1996 and 1997
- 1995 and 1996
i. $3 \frac{1}{3}-1 \frac{1}{4}$
ii. $5 \frac{1}{2}-3 \frac{1}{3}$
iii. $7 \frac{1}{8}-6 \frac{1}{10}$
iv. $7 \frac{1}{2}-3 \frac{1}{5}$
→ii. $5 \frac{1}{2}-3 \frac{1}{3}$
iii. $7 \frac{1}{8}-6 \frac{1}{10}$
iv. $7 \frac{1}{2}-3 \frac{1}{5}$
Carry out the following Divisions:
i. $\frac{2}{3} \div \frac{1}{4}$
ii. $\frac{5}{9} \div \frac{3}{2}$
iii. $\frac{3}{7} \div \frac{5}{11}$
iv. $\frac{11}{12} \div \frac{4}{7}$
→i. $\frac{2}{3} \div \frac{1}{4}$
ii. $\frac{5}{9} \div \frac{3}{2}$
iii. $\frac{3}{7} \div \frac{5}{11}$
iv. $\frac{11}{12} \div \frac{4}{7}$
Construct the following angles with the help of a protractor:
$45^\circ, 67^\circ, 38^\circ, 110^\circ, 179^\circ, 98^\circ, 84^\circ$
→$45^\circ, 67^\circ, 38^\circ, 110^\circ, 179^\circ, 98^\circ, 84^\circ$
Find the HCF of the numbers in the following using the division method:391, 425, 527
Nandu went to a shop to buy a pen, notebook, eraser and a paint box. The shopkeeper told him the prices. A pen costs four and a half rupees, an eraser one and a half, a notebook six and a half and a paintbox twenty-five rupees and fifty paise. Nandu bought one of each article. Prepare his bill.
If Nandu gave a 100 rupee note, how much money does he get back?
If Nandu gave a 100 rupee note, how much money does he get back?
Nandu will get __ rupees back.
Define (i) FACTOR, (ii) MULTIPLE. Give five example of each.