Q.1 Average of 5 consecutive odd numbers is 27. If 2 is added in first, third and fifth number and 3 is subtracted from second and fouth number, find the new average of these five number.
(A) 32
(B) 27
(C) 23
(D) 19
(E) 25
Q.2 If the numerator of a fraction is increased by 80% and the denominator of the same fraction is decreased by 25%, the fraction becomes 3/5th of itself. Find the difference between the resultant fraction and the original fraction.
(A) 9/19
(B) 3/7
(C) 5/6
(D) 7/20
(E) None of these
Q.3 Train X is running at 72 km/h and crosses another train Y that is coming from opposite direction at 90 km/h in 18 sec. The length of train Y is double of train X, in how time would train X cross a platform which is half its length?
(A) 30 sec
(B) 25 sec
(C) 15 sec
(D) 20 sec
(E) None of these
Q.4 In how many different ways can 5 apples and 6 bananas be arranged in a row such that all the apples place together and all the bananas place toether?
(A) 172800
(B) 162580
(C) 175200
(D) 169500
(E) 185200
Q.5 10 women working for 5 hours in a day can complete 5/6th of the work in 16 days. In how many can 12 women working for 8 hours in a day complete the whole work?
(A) 12 Days
(B) 8 Days
(C) 10 Days
(D) 15 Days
(E) None of these
Answer 1. (B) 27
Explanation:
Traditional Method:
Average of 5 consecutive odd numbers = 27
Total of 5 consecutive odd numbers = 27 × 5 = 135
Let numbers = x, x+2, x+4, x+6, x+8
x + x + 2 + x + 4 + x + 6 + x + 8 = 135
5x + 20 = 135
5x = 135 − 20
5x = 115
x = 23
Numbers = 23, 25, 27, 29, 31
New numbers = 25, 22, 29, 26, 33
New Average = (25 + 22 + 29 + 26 + 33)/ 5 = 135/5 = 27
Shortcut Method:
Average of 5 consecutive odd numbers = 27
Total of 5 consecutive odd numbers = 27 × 5 = 135
New Average = (25 + 22 + 29 + 26 + 33)/ 5 = 135/5 = 27
Answer 2. (D) 7/20
Explanation:
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Answer 3. (E) None of these
Explanation:
Train X, S = 72 km/h or 20 m/s, Length = a Km
Train Y, S = 90 km/h or 25 m/s, Length = 2a Km
Because they are running in opposite direction, relative speed = 72 + 90 = 162 km/h or 45 m/s
Distance = a + 2a = 3a, time = 18 sec
S = D/ T
45 = 3a/ 18
a = 270 m
Length of Platform = 135 m
20 = (135 + 270)/ T
T = 405/ 20
T = 20.25 sec.
Answer 4. (A) 172800
Explanation:
It is given that all the apples will be place together and all the bananas will be place together.
So all the apples will be count as 1 and all the bananas will be count as 1.
Different Ways = 2! × 5! × 6!
= 2 × 5 × 4 × 3 × 2 × 6 × 5 × 4 × 3 × 2 = 172800
Answer 5. (C) 10 Days
Explanation:
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