261⟩ What is the minimum number of comparisons required to find the second smallest element in a 1000 element array?
999 comparisons are required to find the second smallest element in an array.
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262⟩ An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with x sec and coming back at 2x sec. Take total time of bird traveling as 187.5s. Find the to and fro speed of the bird?
distancetravelled by the bird=2000m
time taken=187.5 sec
=375/2 sec
speed is in the ratio of 1:2
dividing the time in the ratio of 1:2
time to=375/2(2/3)=125 sec
speed=distane/time=1000/125=8 m/sec
speed in thefro direction=16m/sec
263⟩ Determine the distance between x and z intercept of the plane whose eqn is 2x+9y-3z=18?
Sqrt of ((d/a)^2+(d/c)^2)
d=18 a=2 b=9 c=-3
(d/a)^2=81 (d/c)^2=36
Sqrt(81+36)=58.5
264⟩ A man climbing a rock at 24 km/hr and downhill 36 km/hr. Determine avg speed?
2xy/xy= average speed. its very simple
265⟩ If the list price of a book is reduced by Rs. 5, then a person can buy 5 more books for Rs. 300. The original cost of the book is(1) Rs. 15(2) Rs. 20(3) Rs. 25(4) Rs. 30
Let 'x' be the no of book that we buy with 5 rupee less from the original book price and we buy 5 more books with the rest money each costing original book price.
so the no of cases arises are
Case 1:
x(15-5)+5(15)=300
Solving this equation we get the value of x =22.5 (which is a fraction value)
so this case is not possible.
Case 2:
x(20-5)+5(20)=300
Solving this equation we get the value of x =13.33 (which is a fraction value)
so this case is not possible.
Case 3:
x(25-5)+5(25)=300
Solving this equation we get the value of x =8.75 (which is a fraction value)
so this case is not possible.
Case 4:
x(30-5)+5(30)=300
Here we get the value of x =6 (which can be possibly a no. of book, so the original price of the book is 30).
266⟩ Suppose we have 10 liters of water... we have only two buckets, 1 of capacity 3liter and another of 7 liter.so how will we make combinations such that 1 bucket will have exactly 5 liters of water?
Fill the 7L bucket. Empty water from the 7L bucket into the 3L bucket, until the 3L bucket is full. Empty the 3L bucket and repeat. Now there is 1L of Water in the 7L bucket. Empty the 3L bucket and transfer the 1L of water from the 7L into it. Now fill the 7L bucket again. This time fill the 3L bucket until it is full, you will remove 2L of water from the 7L bucket because there is already 1L of water in the 3L bucket. Now you have 5L remaining in the 7L bucket.
267⟩ How to solve cube problems, like a big cube is divided into 64 smaller cubes. Some sides are painted in blue, red or green. Can you plz. guide me how to approach these types of problems?
The given question is not fully correct .
I will give u another eg ...
If a cube is painted red and cut into 64 pieces .
Approach this question as ,,
64 pieces = 4 *4* 4 so take n=4
just use this formula
1. no sided painted =(n-2)^3
2. 1 sided painted =6 * (n-2)^2
3. 2 sided painted = 12 *(n-2 )
4. 3 sided painted = always 8 (a cube has 8 corners)
268⟩ Jo, Do, and So are three persons(1) So says Jo is football player, I also football player.(2) Do says Jo is football player, I also football player.(3) Jo says Do is football player, I also football player.Find the football player among them?
All three are football players
269⟩ A certain number of men can finish a piece of work in 10 days. If however there were 10 men less it will take 10 days more for the work to be finished. How many men were there originally?(a) 110 men(b) 130 men(c) 100 men(d) none of these
We have 2 equations
n*10 = x and (n-10)*20 = x which gives n=20, where n is number of men to begin with.
270⟩ 9,18,21,25,20, What is the next number in the above Sequence?
ans= 25
bcoz, 3*3=9
3*6=18
3*7=21
5*5=25
5*4=20
so like(3*6 and 3*7 it will be 5*4 and 5*5 mens increment by 1)
271⟩ Which of the following is power of 3 a) 2345 b) 9875 c) 6504 d) 9833
It is not possible all the time, that is, A No. is divided by three is a power of three.
272⟩ With 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how much distance travels?
4/5 full tank= 12 miles
1 full tank= 12/(4/5)
1/3 full tank= 12/(4/5)*(1/3)= 5 miles
273⟩ 1/3+1/5+1/x=1/8 , find x?
1/3+1/5+1/x=1/8
solution:
1/3+1/5-1/8=1/x
40+24-15 =1/x
120
49/120=1/x
x=120/49
or
x=2 22/49 in fraction
274⟩ In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50%. How many games must the team have won in a row to attain this average?A. 12B. 20C. 24D. 30
30 games
275⟩ What is the missing number in 56 / 7 = ? - 5?
13
276⟩ A student is ranked 13th from right and 8th from left. How many students are there in totality?
20 students
277⟩ There are 3 Sections with 5 questions each. If three questions are selected from each section, then in how many ways this selection can be done?
If there are 5 questions, and only 3 question are slected, that is 10 different possible combinations. There 3 section, and with each section having 10 possible combinations, give 1000 different possible combinations.
278⟩ A solid cube is painted black on two of its opposite faces and is cut into 343 pieces. how many small pieces have no paint?
245 pieces have no color on them
98 pieces have black on one side
279⟩ Rita puts 9 pairs of black socks and 8 pairs of white socks in a drawer. She takes 3 socks. What is the probability that we get a pair of black socks?
among 3 socks she has to choose 2 black socks from 9 pair(=18) of black socks, that can be done in 18C2 ways. and the third sock can be chosen from among the remaining socks that can be done in ((8+9-1)x2 )C 1 ways i.e. in 32 ways.
ans. 32 X 18C2
280⟩ Man walks east and turns right and then from there to his left and then 45degrees to his right. In which direction did he go?
south
