According to the question,
Total age increased due to substitution is:8 $\times$ 2=16.
Removed total:45+35=80;
Added total:80+16=96;
Hence the required Average:96/2=48.
If we choose 1st road, to come back we have 5 ways.
Similarly for 2nd,3rd,4th,5th road.
So, totally we have 5+5+5+5+5=25ways.
Let the ages of Kunal and sagar be x and y respectively.
According to the equation, (x-6)/(y-6) =6/5.
=> (x+4)/(y+4) =11/10.
After solving we get y=16.
The Word LOGARITHMS contain 10 letters.
To find how many 4 letter word we can find from that = 10 $\times$ 9 $\times$ 8 $\times$ 7 = 5040.
Assume P is the cost of one pen, C is cost of one Pencil & E is cost of one Eraser.
Let cost of 5 pens, 7 pencils and 4 erasers be X.
then, 5P + 7C + 4E = X ------------(i)
Rajan has bought 6 pens, 14 pencils and 8 erasers at 1.5x cost (half more than mine)
=> 6P + 14C + 8E = 1.5X ------------(ii)Multiplying Equation 1 by 2 and subtracting 2nd equation from it:
10P + 14C + 8E = 2X
6P + 14C + 8E = 1.5X
----------------------------
4P = 0.5X
=> P = 0.5X/4
Total amount paid by me for pens = 5P= 0.5X/4 $\times$ 5 = 2.5X/4
Percent of the total amount paid by me for the pens = {(2.5X/4)/X} $\times$ 100 = 62.5%.
Given, 3/p = 6 and 3/q = 15
=> p=3/6 = 1/2
=> q=3/15 = 1/5
Hence, p-q = 1/2 - 1/5 = 5 - 2/10 = 3/10.
Let the three numbers be a, b and c.
According to the given condition
=>$ a^2 + b^2 + c^2 $= 138.
ANd, ab + bc + ca = 131.
Now, we know that $(a+b+c) ^2$ =$a^2 + b^2 + c^2$ + 2(ab+bc+ca)
On taking values we get$ (a+b+c) ^2$ = 138 + 2(131) = 400
=> a + b + c = 20.
Let the distance travelled by x km.
=> x/10 - x/15 = 2
=> x=60
Time taken to travel 60 km at 10 km/hr. = 60/10 = 6hrs.
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Hence, the Required speed = 60/5 = 12kmph.
Let the tens digit be x,
Then, the unit digit is x+2
As per the condition,
=>(10x+x+2) $\times$ (2x+2) =144
=>(11x+2) $\times$ (2x+2) =144
Solving, x=2(the tens digit)
Unit digit is 4
Hence the required number is 24.
Assume first child (the youngest) get = x Rs.
According to the question ;
each son having 20 rs more than the younger one
2nd child will get = x + 20 Rs
3rd child will get = x + 20 + 20 = x + 40 Rs
4th child will get = x + 20 + 20 + 20 = x + 60 Rs
5th child will get = x + 20 + 20 + 20 + 20 = x + 80 Rs
Total amount they got = 1000 Rs
=> x + (x+20) + (x+40) + (x+60) + (x+80) = 1000
=> 5x + 200 = 1000
=> 5x = 800
=> x = 160 Rs.
So, the youngest child will get 160 Rs.
MindTree Logical Reasoning Test
Syllogism:Statements: Some phones are computers.
All computers are radios.
All radios are televisions.
Conclusion:
(I) All televisions are computers.
(II) Some radios are phone.
Some researchers are teachers.
Conclusions:
(I) No scientist is a teacher.
(II) Some teachers are scientists.
Melt: Liquid :: Freeze : ?
As on melting, liquid is formed similarly on freezing solid is formed.
If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
In a certain language, `me lo po` means `anu weds Vinay` and `pe to lo` means `Vinay comes here`, which word in that language means `come`?
Statement: The first step in treating addicts is to re-establish their lost ties, for which a continuous personal attention should be paid to the addicts under treatment.
Assumptions:
(I) Addicts under treatment respond better when shown personal interest.
(II) Addiction and strained relationships are intimately connected.
8, 9, 8, 7, 10, 9, 6, 11, 10, ?, 12
The given sequence is a combination of three series:
(I) 1st, 4th, 7th, 10th terms i.e. 8, 7, 6,?
(II) 2nd, 5th, 8th, 11th terms i.e. 9, 10, 11, 12
(III) 3rd, 6th, 9th terms i.e. 8, 9, 10 The pattern in I is - 1.
So, missing term = 6 - 1 = 5.
Statement: Should the health care services be nationalized
(I) Yes, it has been done elsewhere in the world.
(II) No, the quality of health care services will deteriorate.
Find the odd man out. 7,13,19,25,29,37,43
All given numbers except 25 are prime numbers.