Pirections for Questions 42 and 43: These ques-
tions are based on the following data. At Goli
Vadapav—a famous fast food centre in Andheri in
Mumbai, vadapavs are made only on an automatic
vadapav making machine. The machine continuously
makes different sorts of vadapavs by adding different
sorts of fillings on a common bread. The machine
makes the vadapavs
at the rate of 1 vadapav per
half a minute. The various fillings are added to the
vadapavs in the following manner. The 1st, 3rd, 5th,
7th,...vadapavs are filled with a chicken patty; the
1st, 5th, 9th, .....vadapavs with vegetable patty; the
1st, 8th, 17th, ..... Vadapavs with mushroom patty;
and the rest with plain cheese and tomato fillings.
The machine makes exactly 500 vadapavs per day.
42. How many vadapavs per day are made with cheese
and tomato as fillings?
43. How many vadapays are made with all three fillings
Answers
Solution :-
chicken petty vadapav :-
→ a = 1
→ d = 2
→ tn = 500
so,
→ a + (n - 1)d ≤ 500
→ 1 + (n - 1)2 ≤ 500
→ 1 + 2n - 2 ≤ 500
→ 2n - 1 ≤ 500
→ 2n ≤ 501
→ n ≤ 250.5
→ n = 250
chicken petty vadapav :-
→ a = 1
→ d = 4
→ tn = 500
so,
→ a + (n - 1)d ≤ 500
→ 1 + (n - 1)4 ≤ 500
→ 1 + 4n - 4 ≤ 500
→ 4n - 3 ≤ 500
→ 4n ≤ 503
→ n ≤ 125.75
→ n = 125
mushroom petty vadapav :- 1st, 8th, 15th, _____
→ a = 1
→ d = 7
→ tn = 500
so,
→ a + (n - 1)d ≤ 500
→ 1 + (n - 1)7 ≤ 500
→ 1 + 7n - 7 ≤ 500
→ 7n - 6 ≤ 500
→ 7n ≤ 506
→ n ≤ 72.28
→ n = 72
then,
→ cheese and tomato petty vadapav = 500 - (250 + 125 + 72) = 53 (Ans.)
now,
→ 1,3,5,7,______ 29
→ 1,5,9,13, _____ 29
→ 1,8,15,22, 29
then,
→ vadapays made with all three fillings are = 1,29,57____
so,
→ a + (n - 1)d ≤ 500
→ 1 + (n - 1)28 ≤ 500
→ 1 + 28n - 28 ≤ 500
→ 28n - 27 ≤ 500
→ 28n ≤ 527
→ n = 18 (Ans.)
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