Question Detail

Find the largest number of four digits which is exactly divisible by 27,18,12,15

9700
9710
9720
9730

Answer: Option C

Explanation:

LCM of 27-18-12-15 is 540.
After dividing 9999 by 540 we get 279 remainder.
So answer will be 9999-279 = 9720

1. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is

16cm
25cm
15cm
35cm

Answer: Option D

Explanation:

So by now, you must be knowing this is a question of HCF, right.
H.C.F. of (700 cm, 385 cm, 1295 cm) = 35 cm.

2. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

Answer: Option B

Explanation:

Answer will be HCF of (400-9, 435-10, 541-14)

HCF of (391, 425, 527) = 17

3. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

Answer: Option B

Explanation:

In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (1661 - 10) and (2045 -13)
= HCF (1651, 2032) = 127

4. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

$\begin{aligned} \frac{2}{27} \end{aligned}$
$\begin{aligned} \frac{8}{3} \end{aligned}$
$\begin{aligned} \frac{2}{3} \end{aligned}$
$\begin{aligned} \frac{8}{27} \end{aligned}$

Answer: Option A

Explanation:

Whenever we have to solve this sort of question, remember the formula.
HCF = $\begin{aligned} \frac{HCF of Numerators}{LCM of Denominators} \end{aligned}$
So answers will be option 1

5. Reduce $\begin{aligned} \frac{803}{876} \end{aligned}$ to the lowest terms.

$\begin{aligned} \frac{11}{12} \end{aligned}$
$\begin{aligned} \frac{23}{24} \end{aligned}$
$\begin{aligned} \frac{26}{27} \end{aligned}$
$\begin{aligned} \frac{4}{7} \end{aligned}$

Answer: Option A

Explanation:

HCF of 803 and 876 is 73, Divide both by 73, We get the answer 11/12

Question Detail

Find the largest number of four digits which is exactly divisible by 27,18,12,15

1. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is

2. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

3. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

4. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

5. Reduce $\begin{aligned} \frac{803}{876} \end{aligned}$ to the lowest terms.

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Question Detail

Find the largest number of four digits which is exactly divisible by 27,18,12,15

1. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is

2. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

3. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

4. Find the HCF of 23,46,827\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}

5. Reduce 803876\begin{aligned} \frac{803}{876} \end{aligned} to the lowest terms.

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4. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

5. Reduce $\begin{aligned} \frac{803}{876} \end{aligned}$ to the lowest terms.