MOCK MTSE questions STD V

The ratio of the ages of son and mother is 2:14. If the mother was 24 years old when the son was born, how old is the mother now 

                                                                                                                                       Answer:
Since simultaneous equation is not in the syllabus of Std. V, We will have to do it differently,
Given, S/M = 2/14
or, S/2 = M/14 = k, say

SO, S = 2k and M = 14k

Now, M - S = 24
or 14k - 2k = 24
or, 12k = 24
or k = 2
therefore, S = 4, M = 28

The ratio of the 2 supplementary angles is 5:7. What is the measure of the angles?
Answer:

180 x 5/ (5+7) = 75 deg
180 x 7 /(5 + 7) = 105 deg

Express as fraction:  24.36666666666666666666666...............



Answer:
x = 24.3666666666....
100x = 2436.666666666666666666....  (1)
10x = 243.6666666666666666... (2)

subtracting (2) from (1), we get
90x = 2193
or x = 2193/90 = 731/30 = 24 11/30



The time taken from A to B gets reduced by 3/4 th when Nanu takes the train in place of bus. What is the ratio of speed of Train to Bus.
Answer:
let A to B distance = S
S = Vb x t = Vt x (1 - 3/4)t
V is generally the connotation for speed, S for distance and t for time. it will save you a lot of time if you use standard connotations.
Therefore, Vb = Vt /4, or, Vt / Vb = 4
The sum of "n" consecutive natural numbers is 703. What is the value of "n"?


Answer:
This question is tricky for a std. V student since quadratic equations are not taught in Std V.
But there is a way to proceed


sum of n consecutive number = S = n( n+1)/2 = 703
or n(n + 1) = 1409

let us list all the factors of 1409, they are 2, 19, 37
we observe, 19 x 2 = 38, therefore n(n + 1) will be 37 x 38 = 1409
therefore, n = 37

Find the ratio of interior to exterior angle of a regular heptagon?


Answer:
one has to remember that the sum of exterior angles of a polygon is always 360 degs.
therefore for a regular heptagon ( 7 sided) the measure of exterior angle = 360 / 7

So, interior angle = 180 - 360/7 = (1260 - 360)/7 = 900/7
so, ratio of interior / exterior angle = (900/7) / (360/7) = (900 / 7) x (7/ 360) = 5/2
A boat goes 15 km with stream in 3 hours while it takes 5 hours on its return journey. find by how much speed is it it less on its return journey?

Answer:
upsteam speed = 15/5 = 3 km/h
downsteam speed = 15/3 = 5 km/hr
speed difference = 5 - 3 = 2 km/h
Nanu gets 15% more marks than Bhanu. What percentage of marks did Bhanu get less than Nanu?



Answer:

   prepare this simple box. The question is simply put if Nanu gets 100 how much does Bhanu get

Nanu ///  Bhanu

115 ////   100

100 ///   y

y = 100 x 100 / 115 = 2000/23 = 86 22/23

so, Bhanu got = 100 - 86 22/23 = 13 1/23 less than Nanu.





The sides of a rectangle are such that one side is 3times the other added by 2. The area of the rectangle is 800 sq. units. Find the perimeter of the rectangle?
. Find the value of the expression