Fractions
- If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 1826/27. find the fraction ?
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If the required fraction be N.
Then, (N x N) / (1/N) = 1826/27Correct Option: C
If the required fraction be N.
Then, (N x N) / (1/N) = 1826/27
⇒ N3 = 512 / 27
∴ N = 8/3 = 22/3
- A lamppost is divided into three parts, the first part is (1/3)rd of the whole length, second (3/8)th of the first and the third is 6 m 50 cm. The length of the lamppost is ?
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Let the length of lamppost = L m
Then,first part = L/3
and second part = (3/8) x L/3 = L/8
and third part = 6 m 50 cm = 6.50 m
First part + second part + Third part = length of lamppostCorrect Option: C
Let the length of lamppost = L m
Then,first part = L/3
and second part = (3/8) x L/3 = L/8
and third part = 6 m 50 cm = 6.50 m
First part + second part + Third part = length of lamppost
⇒ L/3 + L/8 + 6.5 = L
⇒ L - L/3 - L/8 =6.5
⇒ (24L - 8L - 3L)/24 = 6.5
⇒ 13L/24 = 6.5
∴ L = (65.x 24)/13 = 12 m
- Find the value of 27 x 1.2 x 5.5262 x 0.6 .
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27 x 1.2 x 5.5262 x 0.6
= 27 x [(12 - 1) / 9] x [(55262 - 5526)/9000] x (6/9)
= (27 x 11)/9 x (49736/9000) x (6/9)Correct Option: D
27 x 1.2 x 5.5262 x 0.6
= 27 x [(12 - 1) / 9] x [(55262 - 5526)/9000] x (6/9)
= (27 x 11)/9 x (49736/9000) x (6/9)
= 1094192 / 9000
= 121.576888...
= 121.5768
- How many pieces of 13.2 cm can be cut from a 330 cm long rod ?
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Total length of the rod = 330 cm
Length of a piece = 13.2 cm.
Required number of pieces = Total length/Length of a piece ;Correct Option: A
Total length of the rod = 330 cm
Length of a piece = 13.2 cm.
Required number of pieces = Total length/Length of a piece ;
Required number of pieces = 330/13.2 = 25