Math is a vast subject...
...hence each job requires a specific mathematical knowledge and offers a unique math aptitude test.
When you are applying for the situation of a computer programmer, you need not be very good at math. However, when you are going for a post of a civil engineer you can’t afford bad scoring.
On the other hand almost all of the employer organizations use math aptitude test for screening purposes in one way or the other. They may be different in subjects but most of them include questions upon the following areas:
• Algebra
• Quadratic Equations
• Probability
• Trigonometry
• Number series
• Statistics
• Permutations and Combinations
• Profit and Loss
• Geometry
This is not a professionally built mathematical test but a simple effort to exemplify it. These sample questions will help you to know general style of math aptitude tests. Foe Example...
The L.C.M. (Lowest (or Least) Common Multiple) of two numbers is 45 times to their H.C.F (Highest Common Factor). If one of the numbers is 125 and sum of L.C.M. and H.C.F. is
1150, the other number is:
a) 215
b) 220
c) 225
d) 235
Solution: Let L.C.M. be l and H.C.F. be h. Then l = 45h
l + h =1150
This gives h =25 and l = 1125
Thus the second number = (25 * 1125)/125 = 225
Six bells commence tolling together and toll at intervals 2,4,6,8,10 and 12 seconds respectively. In 30 minutes how many times they toll together.
a) 4
b) 10
c) 15
d) 16
Solution: L.C.M. of 2,4,6,8,10,12 = 120
So they toll together after every 120 seconds i.e. 2 minutes. So in 30 minutes they toll together 30/2 + 1 = 16 times
The value of (0.625 * 0.0729 * 28.9)/(0.0017 * 0.025 * 8.1) is
a) 0.3825
b) 3.825
c) 38.25
d) 382.5
Solution: The sum of decimal places in numerator and denominator being the same, decimal point can be removed
(625*729*289) / (17*25*81) = 3825
Trigonometry is the science of measuring triangles. To do well in any math aptitude test you must have good knowledge of trigonometric ratios and basic identities should be on tips. You may face a lot of questions about heights and distances like:
Find x if sin(x+36^) = cos x
Solution:
sin(x+36^) = cos x
cos(90^ - (x+36^)) = cos x
90^ - (x+36^) = x
2x = 54^
x= 27^
Linear equations are part of all math aptitude tests. They can be age related problems, upstream, downstream problems etc
I am three times as old as my son. Five years later I shall be two and a half times as old as my son. What is my age?
Solution:
Let my age be x years and age of my son be y years.
(i) x = 3y
Five years later
(ii) x+5 = 5/2(y+5)
From (i) and (ii)
y=15 and x=45
In almost all the tests questions from Volume and surface area can be expected like:
The number of coins 1.5 cm in diameter and 0.2cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm is:
a) 380
b) 450
c) 472
d) 540
Solution: Volume of 1 coin = 22/7 *(1.5)/2*(1.5)/2 * 0.2 = 99/280 cm3
Volume of large cylinder = 22/7 *(4.5)/2*(4.5)/2 * 10 = (99*45)/28cm3
Number of coins = (99*45)/28 * 280/99 = 450
The size of a wooden block is 5 * 10 * 20 cm3. How many whole such blocks you will take to construct a solid wooden cube of minimum size?
a) 6
b) 8
c) 12
d) 16
Solution: Size of each cube = 5 cm
So number of blocks = (5 * 10 * 20)/(5*5*5) = 8
Find the odd man out - 1050, 510, 242, 106, 46, 16, 3
a) 510
b) 242
c) 106
d) 46
Solution:
2nd term = (Ist term - 30) / 2 = (1050-30)/2 = 510
3rd term = (2nd term - 26) / 2 = (510-26)/2 = 242
4th term = (3rd term - 22) / 2 = (242-22)/2 = 110
So 106 is the answer.
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