The speed of a motor - boat is that of the current of water
The speed of a motor - boat is that of the current of water as 36 : 5.The boat goes along with the current in 5 h 10 min. It will come back in -
The speed of a motor - boat is that of the current of water as 36 : 5.The boat goes along with the current in 5 h 10 min. It will come back in -
Nithin K ? Nov 20 '2016 at 19:45
Answer is : 6 h 50 min
Explanation:
Let the speed of the motor boat = 36 kmph and
speed of current stream= 5 kmph.
The boat goes along with the current in 5 hours 10 minutes = \(\frac{31}{6} hour\)First We Need To Calculate upstream and downstream for above condition
Speed downstream = (36x+5x) = 41x kmph
Since distance = speed × time, we have
distance = \(41x \times \frac{31}{6} \) km. ..................(i)Speed upstream =(36x-5x) = 31x kmph
speed = 31x kmph .........................................(ii)Hence, time taken to come back
\(Time = \frac{distance}{speed}\)
\(= \frac{equation (i) }{ equation (ii)}\)
\(= \frac{41x \times \frac{31}{6}}{31x}\)
\(= \frac{41}{6} hours\)= 6 hours 50 minutes.
In an examination, 60% of the candidates passed in English and 70% of the can- didates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidates passed in both the subjects, the number of candidates that appeared at the examination was-
Nithin K ? Nov 20 '2016 at 19:36
Answer is : 5000
Explanation:
Students passed in English = 60%
Students failed in both subjects = 20%
therefore Students passed only Mathematics is 20%Students passed in Mathematics= 70%
Students failed in both subjects = 20%
therefore Students passed only English is 10%Total Appeared In Exam = all fail + only English pass + only Mathematics pass + both English and Mathematics pass.
Total Appeared In Exam (100%) = 20% + 10% + 20% + both English and Mathematics pass.
Total Appeared In Exam(100%) = 50% + both English and Mathematics pass.
Total Appeared In Exam (100%) = 50% + 2500
Total Appeared In Exam (100%) = 2500 + 2500
= 5000
(45 + 46 + 47 + ....... + 113 + 114 + 115) is equal to-
A rationalising factor of is -!doctype>?xml>
After measuring 120 m of a rope, it was discovered that the measuring metre rod was there centimetres longer. The true length of the rope measured is-
Nithin K ? Nov 20 '2016 at 19:30
Answer is : 123 m 60 cm
Explanation:
Geven Data,
The length of the rod = 3 cm
To measure 120 m , Rod is apply by 120 times .
Therefore, total length that is measure by longer part = 120 x 3
= 360 cm = 3.60 m (∵ 100cm = 1m)
Then, the actual length of rope = 120m + 3.6m
= 123 m 60 cm
Hence, the answer is 123 m 60 cm.
A 2-digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. The sum of digits of the number is-
Nithin K ? Nov 20 '2016 at 19:27
Answer is : 9
Explanation:
A 2-digit number is 3 times the sum of its digits.
10y + x = 3(x + y)
10y + x = 3x + 3y
2x - 7y = 0 .........................(i)If 45 is added to the number, its digits are interchanged.
10y + x + 45 = 10x + y
9x - 9y = 45 .......................(ii)On Solving equation (i) and (ii)
x= 7
y= 2
number = 27
sum of the digits =(x+y)=(7+2)= 9
64329 is divided by a certain number. While dividing the numbers 175, 114 and 213 appear as three successive remainders. The divisor is-
Nithin K ? Nov 20 '2016 at 19:24
Answer is : 234
Explanation:
There are 3 remainders and they are 3 digit numbers so it is evident that the divisor is also 3 digit number.
We have three remainders, means the number comprising of the first digits i.e. 643 was divided first and we got 175 as the remainder.
Now according to DIVIDEND = DIVISOR x QUOTIENT + REMAINDER
=> DIVISOR x QUOTIENT = DIVIDEND – REMAINDER
=> DIVISOR x QUOTIENT = 643 – 175 = 468Now Take The Options One by one
468 is not divisible by 184
468 is not divisible by 224
468 is not divisible by 296
We see that 468 is divisible by 234 only among all the answer options; so 234 is the divisor we need.