The ages of two brothers are in the ratio of 8:5. If the elder brother is 4 yrs 8 months old,then what is the age of the younger one?
The age of the younger one =
= 2 years 11 months
Given question below consists of a question and two statements numbered I and II.
You have to decide whether the data provided in the statements are sufficient to answer the question.
How many minutes does the clock lose a day?
Statements:
I. The clock reads 6 : 00 when it is really 5 : 48
II. The clock is 40 seconds fast each hour.
Statement I: Clock is fast by 12 minutes each hour
Statement II: Clock is fast by 2/3 of a minutes i.e. 40 second
Hence, the question can be answered by using either of the statements
If α and β are the roots of the euqation x^{2} − 4x + 3 = 0 find the equation whose roots are 3 α and 3 β
If sin 2θ = cos 3θ and θ is an acute angle then θ =
The expression sin 89º + tan 89º, when expressed in terms of angles between 0º and 45º, can be written as
For how long should a force of 100 N act on a body of 20 kg so that it acquires a velocity of 100 m/s?
F = ma, 100 = 20 × a, a = 5 ms^{2} v = 0, v = 100
v = u + at, 100 = 0 + 5 × t, t = 20 s
Each angle of a regular pentagon will be :
A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:
Hence, required number = 214
In questions below, equations have become wrong due to wrong orders of signs. Choose the correct order of signs from the alternative given.
82÷7=11
A tap can fill a tank in one hour. A second tap empty it in 30 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?
In one minute 1/60 + 1/30 = 1/20 of the tank will be empty
5004 ÷ 139  6 = ?
5004 ÷ 139  6 = ?
⇒ 36  6 = 30
Ramesh is twice as good workman as Sunil and finished a piece of work in 3 hrs less than Sunil. In how many hrs, they together could finish that piece of work?
Let's assume Sunil finishes the job in x hours
Then, Ramesh will finish the job in x 2 hours
Given x  x/2 = 3
⇒ x = 6
∴ Sunil finishes a job in 6 hours and Ramesh does it in 3 hours
Work done by both of them in 1 hour 1/6 + 1/3 = 1/2
∴ They together could finish a piece of work in 2 hours
An industrial electrician attaches exactly seven components— designated S, T, V, W, X, Y, and Z—to a circuit board in exactly seven consecutive steps; exactly one component is attached per step. Each component is attached exactly once, and each is attached either by hand or by machine, but not both.
X is the fourth component attached.
Exactly two components are attached by hand at some time before X is attached.
No component is attached by hand before T is attached.
W is attached at some time before T.
Y is attached at some time after both Z and S.
The sixth component attached is attached by hand.
Which one of the following could be an accurate list, in order, of the first three components attached?
An industrial electrician attaches exactly seven components— designated S, T, V, W, X, Y, and Z—to a circuit board in exactly seven consecutive steps; exactly one component is attached per step. Each component is attached exactly once, and each is attached either by hand or by machine, but not both.
X is the fourth component attached.
Exactly two components are attached by hand at some time before X is attached.
No component is attached by hand before T is attached.
W is attached at some time before T.
Y is attached at some time after both Z and S.
The sixth component attached is attached by hand.
Which one of the following components must be attached by machine?
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