Speed of train relative to man = 60 + 6 = 66 km/hr.
=> 66 $\times$ 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 $\times$ 3/55 = 6 sec.
Let the numbers be x and y.
Then, (x + y) = 22 and $x^2 + y^2$ = 404
Now,
=> 2xy = $(x + y) ^2 $- $(x^2 + y^2)$
=> 2xy= $22^2$ - 404 = 484 - 404 = 80.
=> xy = 40
Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20.
Part filled by C in 3 minutes = 3/10
Hence, the Required ratio = 3/10 $\times$ 20/11 = 6/11.
According to the formula,
Principal = [4913 / (1 + 25/ (4 $\times$ 100))3].
=> 4913 $\times$ 16/17 $\times$ 16/17 $\times$ 16/17 = Rs. 4096.
If C and D form a pair and A and B form a pair the difference is maximum.
Now C and D together can complete the work = 9×189+189×189+18 = 6 days.
A and B together can complete the work = 2×42 + 42×42 + 4 = 4/3 days.
Difference = 6 - 4/3 = 14/3 days.
Total number of 4 digit numbers are 9000 (between 1000 and 9999).
We find the numbers without any two in them. So total numbers are 8 x 9 x 9 x 9 = 5832
So, numbers with number two in them = 9000 - 5832 = 3168
S.P. of 1 kg mixture = Rs.23. Gain = 15%.
CP of 1 kg mixture = Rs. [(100/115) x 23] = Rs.20
Let the quantity of wheat costing Rs.24 is x kgs.
Using weighted average rule = ($x$×24+30×18.4)/ (x+30) =20
On Solving, we get x = 12.
7,14,55, 110,?
The numbers in the series are as follows: -
7 + 7 = 14, and reverse of 14 is 41.
Now, 41+14=55.
Similarly,
Reverse of 55 is 55.
Thus, 55 +55=110.
Now, reverse of 110 is 011 so the next term is 110+011=121.
Total number of ways in which 5 persons can finish is 5! = 120 (there are no ties)
Now, in half of these ways M can finish before N.
According to the question, 125% of 120% of A = 225.
=> 125/100 $\times$ 120/100 $\times$ A = 225
=> A = 225 $\times$ 2/3 = 150.
Deloitte Logical Reasoning Test
Syllogism:Statements: Some mangoes are yellow.
Some tixo are mangoes.
Conclusions:
(1) Some mangoes are green.
(2) Tixo is a yellow.
Statements: Some blue are black. Some black are grey.
All grey are red. All red are pink.
Conclusions:
(I) Some red are black.
(II) Some pink are black.
(III) Some pink are grey.
(IV) Some red are blue.
Pointing to a photograph, a lady tells Pramod, "I am the only daughter of this lady and her son is your maternal uncle." How is the speaker related to Pramod’s father?
After walking 6 km, I turned to the right and then walked 2 km. After then I turned to the left and walked 10 km. In the end, I was moving towards the North. From which direction did I start my journey?
A child went 90 m in the East to look for his father, then he turned right and went 20 m. After this he turned right and after going 30 m he reached to his uncles house. His father was not there. From there he went 100 m to his north and met his father. How far did he meet his father from the starting point?
Manisha ranked sixteenth from the top and twenty ninth from the bottom among those who passed an examination. Six boys did not participate in the competition and five failed in it. How many boys were there in the class?
Number of boys who passed = (15 + 1 + 28) = 44.
$\therefore$ Total number of boys in the class = 44 + 6 + 5 = 55.
If the numbers from 5 to 85 which are exactly divisible by 5 are arranged in descending order, which would come at the eleventh place from the bottom?
The required numbers in descending order are:
85, 80, 75, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, 15, 10, 5.
The eleventh number from the bottom is 55.
In a code, CORNER is written as GSVRIV. How can CENTRAL be written in that code?
Each letter of the word is moved four steps forward to obtain the code.
Question: Madan is elder than Kamal and Sharad is younger than Arvind. Who among them is the youngest?
Statements:
(I) Sharad is younger than Madan.
(II) Arvind is younger than Kamal.
As given, we have: M > K, A > S.
From II, K > A. Thus, we have: M > K > A > S.
So, Sharad is the youngest. From I, M > S. Thus, we have: M>K>A>S or M>A>K>S or M>A>S>K.
If in a certain code, TWENTY is written as 863985 and ELEVEN is written as 323039, how is TWELVE written in that code?
The alphabets are coded as shown:
T W E N Y L V
8 6 3 9 5 2 0
So, In TWELVE,
T is coded as 8,
W as 6,
E as 3,
L as 2,
V as 0.
Thus, the code for TWELVE is 863203.