Very important Maths questions for SSC CGL
Q. 250 men can finish a work in 20 days working 5 hours a day. To finish the work within 10 days working 8 hours a day, the minimum number of men required is-
a. 310
b. 300
c. 313
d. 312
Ans : Required no. of men = 250 * 5 * 20/8 * 10
=312.5
313
Q. 2 men and 5 women can do a work in 12 days. 5 men 2 women can do that work in 9 days. Only 3 women can finish the same work in-
a. 36 days
b. 21 days
c. 30 days
d. 42 days
We know that (2m + 5w) * 12 = (5m + 2w) * 9
=> 24m + 60w = 45m + 18w
=> 21m = 42w
=> 1m = 2w
We know 2m + 5w = 9w
We know required no. of days = 9 * 12/3
= 36
Q. While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be –
a. 10%
b. 20%
c. 16 2/3%
d. 16 1/3%
Ans : Let the M.P. be Rs.100.
We know S.P = (100-40) = Rs.60
and C. P. = 60 * 100/(100-30) = Rs.600/7
We know Reqd. % profit = 100-600/7 /600/7 * 100%
= (700 – 600)/7 * 600 * 100 * 7%
= 16 2/3%