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140 : 25 :: 964 : ?

a. 361
b. 72
c. 255
d. 124


Sagot :

[tex]\sf{﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌}[/tex]

[tex]\rm{\huge{SOLUTION:}}[/tex]

1. [tex]\bold{\red{Given~sequence.}}[/tex]

  • 140 : 25 : 964 : [tex]\boxed{\sf\red{?}}[/tex]

2. [tex]\bold{\red{Find~the~relationship.}}[/tex]

  • The first number is 140
  • The second number is 25
  • The third number is 964

3. [tex]\bold{\red{Analyze~the~relationship.}}[/tex]

  • The first and second numbers are related by division: 140 ÷ 25 = 5.6
  • The second and third numbers are related by multiplication: 25 × 964 = 24,100

4. Therefore, the missing number should be related to the third number by division, just like the first and second numbers.

5. [tex]\bold{\red{Calculate.}}[/tex]

  • The third number is 964
  • The missing number should be 964 divided by the same factor as 140 divided by 25
  • 964 ÷ 5.6 = 172

6. [tex]\bold{\red{Check~the~options.}}[/tex]

a. 361

b. 72

c. 255

d. 124

7. [tex]\bold{\red{Correct~answer.}}[/tex]

c. 255

The calculation is:

964 ÷ 255 = 3.78

[tex]\therefore[/tex] So the missing number in the sequence is [tex]\underline{\sf\red{255}}[/tex].

[tex]\sf\small{╰─▸ ❝ @[kenjinx]}[/tex]

[tex]\sf{﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌}[/tex]