Let man's salary be Rs. N
Money spend on food =N/7
Money spends on clothing = (N - N/7) x 1/2 = (6N/7) x (1/2) =3N/7
Money spend on entertainment = (N - N/7 - 3N/7)/3 = (7N - 4N)/7 = N/7
Now, money left =600
⇒ N - N/7 - 3N/7 - N/7 = 600

Correct Option: C

Let man's salary be Rs. N
Money spend on food =N/7
Money spends on clothing = (N - N/7) x 1/2 = (6N/7) x (1/2) =3N/7
Money spend on entertainment = (N - N/7 - 3N/7)/3 = (7N - 4N)/7 = N/7
Now, money left =600
⇒ N - N/7 - 3N/7 - N/7 = 600
⇒ 7N - 5N/7 = 600
⇒ N = 600 x 7/2 = Rs. 2100
∴ Money spend on entertainment = 1/7 x 2100 = Rs. 300

If the required fraction be N.
Then, (N x N) / (1/N) = 18²⁶/₂₇

Correct Option: C

If the required fraction be N.
Then, (N x N) / (1/N) = 18²⁶/₂₇
⇒ N³ = 512 / 27
∴ N = 8/3 = 2²/₃

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

Correct 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

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

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