Sum of the present ages of husband, wife and child = (27 $\times$ 3 + 3 $\times$ 3) years = 90 years.
Sum of the present ages of wife and child = (20 $\times$ 2 + 5 $\times$ 2) years = 50 years.
Therefore, Husband`s present age = (90 - 50) years = 40 years.
Speed = (45 x 5/18) m/sec = 25 m/sec.
Time = 30 sec.
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2.
=> 2(130 + x) = 750
=> x = 245 m.
L.C.M. of 2, 4, 6, 8, 10, 12 is 120.
So, the bells will toll together after every 120 seconds (2 minutes).
In 30 minutes, they will toll together 30/2 + 1 = 16 times.
Let the actual distance travelled be x km.
Then, x/10 = (x + 20)/14.
=> 14x = 10x + 200.
=> 4x = 200
=> x = 50 km.
Ratio of the initial capital of M and N = 4 : 5
Hence we can take the initial capitals of M and N as 4x and 5x respectively.
Ratio in which profit will be divided
=> (4x $\times$ 3) + (3/4) $\times$ (4x) $\times$ 7: (5x $\times$ 3) + (4/5) $\times$ (5x) $\times$ 7
=> 12+21: 15+28
=> 33: 43
Hence, Ms share = 760 $\times$ 33/76 = 330.
Let the total number of students be x.
Number passed in one or both is given by: n$\left(A\cup B\right)$ = n(A)+n(B) - n (A ^ B).
=> 60% of x + 65% of x - 40% of x.
=> (60/100 $\times$ x + 65/100 $\times$ x - 40/100 $\times$ x)
=> 85x/100 = 17x/20.
Failed in both = (x - 17x/20) = 3x/20.
=> 3x/20 = 90.
=> x = 90 $\times$ 20/3 = 600.
Speed downstream = (10 + 2) = 12 km/hr.
Speed upstream = (10 - 2) = 8 km/hr
.Let the required distance be x km.
Then, x/12 + 1/8 = 10.
=> (2x+3x)/24 = 10.
=> 5x =10 $\times$ 24.
=> x = 48 km.
Originally, let the number of seats for Maths, physics and social studies be 8x, 5x and 7x respectively.
No. of increased seats are (175% of 8x), (140% of 5x) and (150% of 7x).
=> (175 $\times$ 7x/100), (140 $\times$ 5x/100) and (150 $\times$ x/100) i.e. 14x, 7x and 21x/2.
$\therefore$ Required ratio = 14x: 7x: 21x/2 = 28x: 14x: 21x = 4: 2: 3.
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900-x).
Then,
=> x $\times$ 14 $\times$ 2/100 + (13900-x) $\times$ 11 $\times$ 2)/100 = 3508
=> 28x - 22x = 350800 - (13900 x 22)
=> 6x = 45000
=> x = 7500.
So, sum invested in Scheme B = Rs. (13900-7500) = Rs. 6400.
A and B together complete the work in 30 days.
So, work done by A and B together in 1 day = 1/30
=> Work done by A and B together in 20 days = 20/30 = 2/3
So work remaining after 20 days when B leaves = 1 - 2/3 = 1/3
Given that A completes the remaining work in 20 days
=> A completes 1/3 work in 20 days
=> A completes the work in 20 $\times$ 3 = 60 days.
Microsoft Logical Reasoning Test:
Coding/Decoding:In a certain code language, FUNNY is coded as NFYUN then how will u code the word GREEN?By analyzing the code for FUNNY, we can observe that the middle letter is placed first and then the odd place letter are grouped and then the even place letters are grouped.
F U N N Y
1 2 3 4 5
coded by the logic,
N F Y U N
3 1 5 2 4
By applying the same logic, we can code GREEN as EGNRE.
Coding/Decoding:
If JOSEPH is coded as FKOALD, then GEORGE will be coded as:Each letter of the word is moved four step back to decode it. So, GEORGE will be CAKNCA.
Distance & Direction:
I walk 30 meters in North-West direction from my house and then 30 meters in South-west direction. After this I walk 30 meters in South-East direction. Now, I turn to my house, in what direction am I going?Distance & Direction
Village Q is to the North of the village P. The village R is in the East of Village Q. The village S is to the left of the village P. In which direction is the village S with respect to village R?Blood Relationships:
Introducing Sonia, Amir says, "She is the wife of only nephew of only brother of my mother." How Sonia is related to Amir?Brother of mother means maternal uncle. Hence only nephew of Amir`s maternal uncle means Amir himself. Therefore, Sonia is the wife of Amir.
Blood Relationships:
Pointing to a boy in the photograph Reena said, "He is the only son of the only child of my grandfather." How Reena is related to that boy?The boy in the photograph is the only son of Reenas grandfathers only son; i.e., the boy is the only son of Reenas father.
Hence, the boy is the brother of Reena or Reena is the sister of the boy.
Critical Reasoning:
The cost of producing radios in Country Q is ten percent less than the cost of producing radios in Country Y. Even after transportation fees and tariff charges are added, it is still cheaper for a company to import radios from Country Q to Country Y than to produce radios in Country Y.The statements above, if true, best support which of the following assertions?
Assumptions:
(I)We will always have necessary funds in our account to settle the bills.
(II) We are capable of verifying and clearing the bills in less than three working days.
Since the statement talks of making all payments within three days, so company has funds and also bills can be cleared within said time. So both assumptions are implicit.
Statement and Conclusions:
Statement: A large majority of the work force in India is unorganized. Most of them earn either the minimum or uncertain wages while others are engaged in sundry jobs.Conclusions:(I) The workers in the organized sector get better facilities and stay longer in their jobs.
(II) Some workers in the unorganized sector of the work force have a regular and fixed income.
Statement and Conclusions:
National Aluminum Company has moved Georgia from a position of shortage to self-sufficiency in the metal.Conclusions:
(1) Previously, Georgia had to import aluminum.
(2) With this speed, it can soon become a foreign exchange earner.