Question

(d) 18000
#. Find the smallest number by which each of the following numbers should be divided so
may be a perfect square.
(a) 98



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Answer 1

Step-by-step explanation:

The following table gives the distribution of 45 students across the different levels of IntelligentQuotient. Draw the histogram for the data.IQ 60-70 70-80 80-90 90-100 100-110 110-120 120-130No of students 2 5 6 10 9 8 5

Answer 2

꧁αղsաҽɾ꧂

ᴀ. 240 : 240 = 2 × 2 × 2 × 2 × 3 × 5

(ᴍᴜʟᴛɪᴘʟʏ 240 ᴡɪᴛʜ 15 ᴛᴏ ɢᴇᴛ ᴛʜᴇ ᴘᴇʀꜰᴇᴄᴛ ꜱQᴜᴀʀᴇ)

240 × 15 = 3600

3600 ɪꜱ ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ 60

ʙ. 432 : 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

(ᴍᴜʟᴛɪᴘʟʏ 432 ᴡɪᴛʜ 3 ᴛᴏ ɢᴇᴛ ᴛʜᴇ ᴘᴇʀꜰᴇᴄᴛ ꜱQᴜᴀʀᴇ)

432 × 3 = 1296

1296 ɪꜱ ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ 36

ᴄ. 2592 : 2592 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3

(ᴍᴜʟᴛɪᴘʟʏ 2592 ᴡɪᴛʜ 2 ᴛᴏ ɢᴇᴛ ᴛʜᴇ ᴘᴇʀꜰᴇᴄᴛ ꜱQᴜᴀʀᴇ)

2592 × 2 = 5184

5184 ɪꜱ ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ 72

ᴅ. 18000 : 18000 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5

(ᴍᴜʟᴛɪᴘʟʏ 18000 ᴡɪᴛʜ 5 ᴛᴏ ɢᴇᴛ ᴛʜᴇ ᴘᴇʀꜰᴇᴄᴛ ꜱQᴜᴀʀᴇ)

18000 × 5 = 90000

90000 ɪꜱ ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ 300

ᴇ. 21952 : 21952 = 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7

(ᴍᴜʟᴛɪᴘʟʏ 21952 ᴡɪᴛʜ 7 ᴛᴏ ɢᴇᴛ ᴛʜᴇ ᴘᴇʀꜰᴇᴄᴛ ꜱQᴜᴀʀᴇ)

21952 × 7 = 153, 664

153, 664 ɪꜱ ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ 392

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