Veto q&a 7 Month22 (1)

Q & A
@hangout
nuMBer BecoMeS MaGic
totaL 2018
June
pLuS
Syam ayyampara
Q Three different containers contain 496 litres, 403
litres and 713 litres of mixtures of milk and water
respectively. What biggest measure can measure all
the different quantities exactly?
a) 1 litre b) 7 litres
c) 31 litres d) 41 litres
ans: c) 31 litres
Required measurement = HCF of 496, 403, 713 litres
31 496, 403, 713
16, 13, 23 = 31 Litres
Q
Q
A train of length 100 m runs at a speed of 120 km/hr
from North to South. Another train of length 150 m
travels with a speed of 80 km/hr from South to North.
What is the time required to cross each other
a) 3.6 sec b) 4 sec
c) 4.5 sec d) 5.2 sec
ans:
c) 4.5 sec
Length of first train = 100 m
Length of second train = 150 m
Total length = 250 m
Speed of first train = 120 km/h
Speed of second train = 80 km/h
Since the trains are moving opposit direction
Net speed = 120 + 80 = 200 km/h
250 18
Time required = × Sec
200 5
18 9
= = = 4.5 sec
4 2
The batting average for 40 innings of a cricket player is
50 runs. His highest score exceeds his lowest score
by 172 runs. If these two innings are excluded, the
average of the remaining 38 innings is 48 runs. The
highest score of the player is:
a) 170 b) 174 c) 180 d) 185
ans: b) 174
Total runs from 40 innings = 40 x 50 = 2000
Total runs from 38 innings = 38 x 48 = 1824
Highest score + lowest score = 2000 - 1824 = 176
Let highest score be x, lowest score = x - 172
x + (x-172) = 176
2x - 172 = 176
2x = 176 + 172
176 + 172
x = = 174
2
Q Present ages of Arsha and Arun are in the ratio of 5
: 4 respectively. Three years hence, the ratio of their
ages will become 11 : 9 respectively. What is Arun’s
present age in years?
a) 24 b) 27
c) cannot be determined d) none of these
Q
ans: a) 24 years
Let the present ages of Arsha and Arun be 5x and 4x
respectively.
5x
+ 3 11
Then =
4x
+ 3 9
9 (5x+3) = 11(4x+3)
45x + 27 = 44x +33
x = 33 - 27 = 6
Arun’s age = 4x = 4 x 6 = 24
A machine P can print one lakh books in 8 hours,
machine Q can print the same number of books in 10
hours while machine R can print them in 12 hours. All
the machines are started at 9 am. While machine P
is closed at 11 am and the remaining two machines
complete the work. Approximately at what time will
the work be finished?
a) 11:30 am b) 12 noon
c) 12:30 pm d) 1 pm
ans: d) 1 pm
⎛1 1 1 ⎞ 37
(P+Q+R)’s 1 hours work = ⎜ + + ⎟=
⎝8 10 12 ⎠ 120
37 37
P, Q, R work done in 2 hr = × 2 =
120 60
37 23
Remaining work = 1− = 60 60
Q&A Bonus
Partition of Bengal was repealed by Lord HardingeII in the year - 1911
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