If total votes =x, then valid votes= 90% of x = 0.9x
Winner`s vote=70% of valid votes=0.7 $\times$ 0.9x=0.63x
So, loser`s vote=30% of valid vote=0.3 $\times$ 0.9x=0.27x
As difference in votes of these candidates=majority,
So, 0.63x -0.27x = 900
=> x = 900/0.36 = 2500.
Given ratio: 3:2:5
Total units=3+2+5=10
A`s amount=33
Let the total amount = x
So according to the question,
=> (3/10) $\times$ x= 33
=> x= (33 $\times$ 10)/3
=> x=110.
Let Suresh age be `S` years and his father`s age be `F` yrs.
Then, according to the question,
=> S + F = 46 ............(i)
=> F - 3 = 4(S-3) ..........(ii)
Solving both the equations, we get
S=11, F=35.
Hence, the present age of Suresh is 11 years.
The given word `ORANGE` has 6 letters and three vowels,
The number of ways in which vowel would be together i.e. (OAE)RNG = 3! $\times$ 4! = 144.
So, the number of ways to arrange letters in which vowels are not together = 6! - 144 = 720 - 144 = 576.
According to the question,
=> 8x+5x=39.
=> 13x=39
=> x=39/13=3
Thus, ages of A and B is 24 and 15 respectively.
After 9 yr., ages of A and B will be 33 and 24.
So, A: B::11:8.
Total number of students who passed in atleast one exam=65+70-50=85
students who failed in both=100-85=15%.
Let the number of ticket at the beginning be X.
Then, (X-20 $\times$ X)/100=1392
=> X =1740. (IN LAST WEEK)
Then, (X+16 $\times$ X)/100=1740 =>X=1500. (IN 3RD WEEK)
Also, (X+20 $\times$ X)/100=1500 =>X=1250. (IN 2ND WEEK).
So, total 1250 tickets sold at beginning.
If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are a, b, c, d & e respectively, then
=> a+b+c+d=58 $\times$ 4=232 ----(i)
=> b+c+d+e=60 $\times$ 4=240 ----(ii)
Subtracting (i) from (ii), we get:
=> e-a = 8 ---(iii)
Given, a/e=7/8 ---(iv)
So from (iii) & (iv), a=56, e=64.
Let the number be x.
Then, x + $x^2$ = 1406
=> $x^2$ + x-1406 = 0
=> x = -1 + $-\sqrt(1-4 \times 1406)$/2
=> x = -1 + -75/2
=> x = -38 or x=37.
According to the question,
If the label price = 115 then CP = 100.
So, label price = 1024 then the cost price is (100/115) $\times$ 1024 = 890.4347.
Now C.P(cost price) = 890.4347.
He allows 51.20 discount on S.P(selling price).
So, Original S. P= (1024 - 51.20) = 972.8.
So, Percentage Profit
=> [(S.P - C.P) $\times$ 100]/C. P
=> (972.8 - 890.4347)/890.4347 = 9.25%.
Google Logical Reasoning Test
Syllogism:Statements: Some Poets are poems. No poem is song.
Conclusions:
(I) Some Poems are not songs.
(II) Some songs are poems.
Thermometer: Temperature :: Glucometer : ?
Pointing to a lady a person said, "The son of her only brother is the brother of my wife." How is the lady related to the person?
In a certain code language, `it pit sit` means `I am boy`, `it nit sit` means `I am girl`, which of the following means `girl`?
We have,
`it pit sit` => I am boy.
`it nit sit` => I am girl.
Here, `it sit` is common in both the messages and `I am` is common in both codes.
Hence, code for girl will be `nit`.
A is 40 m South west of B. C is 40m South east of B. Then, C is in which direction of A?
Statement:
I can take you quickly from Kanpur to Lucknow by my cab but then you must pay double charges.
Assumptions:
(I) Normally, it will take more time to reach there.
(II) People want to reach quickly without paying extra money for it.
AZ, GT, MN, ?, YB
The first letter of each term is moved six steps forward while the second letter is moved six steps backward to obtain the corresponding letter of the next term.
Statement: Should education be given by the government free of charge?
Arguments:
(I) Yes, it will help in universalization of education in the country.
(II) No, there will be budgetary deficit creating some new problems.
Statement: Rapid growth of urban population has led to a severe shortage of living space resulting in a drop in living conditions.
Courses of Action:
(I) The Government should draw plans for urban re planning and development.
(II) All village to town migrations should be stopped.
(III) The Government should demolish the five-star hotels and build peoples cottages there.
I is a positive step towards the solution of the problem. III is rather harsh and undemocratic. II too is an extreme action. Both II & III would violate the Fundamental Rights of the Indian Constitution.
In all numbers except 386, the middle digit is the sum of other two digits.