TANCET 2012 Quant - Percents - Q42

This question appeared in the Quant section of the TANCET 2012 Paper. An easy percents question.

Question

If S is 150 percent of T, then T is what percent of S + T?
1. 33.33%
2. 40%
3. 75%
4. 80%
5. 85%

Correct Answer: Choice 2. 40%

Explanatory Answer

The easiest way to solve this question is by assuming a value of T.

Take T to be 100.

Therefore, S = 150% of T = 150% of 100 = 150.

So, S + T = 150 + 100 = 250.

We need to find out T as a percent of S + T

i.e., (100 / 250)* 100 = 40%

For additional TANCET Percentage practice questions, click here

TANCET 2008 Quant Qn 9 - Geometry, Mensuration

Question 9 : Geometry - Right Triangles : If the shaded area is one half the area of triangle ABC and angle ABC is right angle, then the length of line segment AD is

1. 
2. c
3. 
4. 
5. 

Speed Distance Time : TANCET Quant

Speed Distance Time is one of the topics from which you should expect a question either in the quantitative reasoning section or in the data sufficiency section of the TANCET MBA.

Here is a relatively easy quantitative reasoning question from this topic

Question

It takes Kiran 50 minutes lesser to cover a distance if she travels three times as fast as she does now. How long will she take to cover the distance if she travels twice as fast as she does now?
1. 50 minutes
2. 75 minutes
3. 150 minutes
4. 100 minutes
5. 37.5 minutes

Correct Answer : Choice 5. 37.5 minutes

Explanatory Answer

Let Kiran's present speed be S km/min. And let her take t minutes to reach her destination.

If Kiran travels three times as fast as she does now i.e., at 3S, she will cover the same distance in 1/3 of the time i.e., in t/3 minutes.

So, she is saving (t - t/3) minutes = 2t/3 minutes.
The question states that she is saving 50 minutes.
Therefore, 2t/3 = 50
or t = 75 minutes.

If she travels at S km/min, she will reach her destination in 75 minutes.

So, if she travels at 2S km/min, she will take half that time = 75/2 minutes = 37.5 minutes.

Word problems : Linear Equations

You should anticipate a question that expects you to convert information presented in words into an equation and solve it.

They are commonly referred to as "word problems". The key to getting those questions right is to try and decode the information in the sentence and frame equations accordingly.

Here is a question that will give you an idea of how to frame a linear equation from the information given in the question statement.

If the result of seven more than four times a number is tripled, the resultant number is three more than fifteen times the number. What is the number?
1. 6
2. 7
3. 4
4. 15
5. 12

TANCET Math prep question - Linear Equations

Linear Equations is one of the fundamental topics from which you could expect one or two questions in the TANCET test.

A Linear Equation is one in which the power or the exponent of the variable is 1. An equation of the form 3x + 2y = 17 is a linear equation.

A linear equation in two variables x and y represents a straight line when plotted on a x - y plane. The equation of the x-axis is y = 0 and that of the y-axis is x = 0.

The following question is a word problem in linear equation. You will be presented some information as a statement and you will be expected to fram linear equation based on the information provided there and solve the linear equation to get the answer.

Question
QuestionRam's father is thrice as old as Ram. 6 years hence, his father will be 24 years older than Ram. How old is Ram?
1. 24 years
2. 18 years
3. 12 years
4. 36 years
5. 42 years

Correct Answer and Explanation
Let Ram's present age be R.
So, his father's present age is 3R.

6 years hence, Ram will be (R + 6) years old
6 years hence, Ram's father will be 3R + 6 years old.
The question states that 6 years hence, Ram's father is 24 years older than Ram.
i.e., 3R + 6 = (R + 6) + 24

Or 3R + 6 = R + 30
or 2R = 24 or R = 12.
Ram's present age is therefore 12 years.

Shortcut Approach
You should actually solve this question by going back from the answer choices. That way, you will save a lot of time. Anyone who is serious about cracking the TANCET should commence your preparation for the TANCET exam not later than the day your fifth semester exams are over if you are in a 3-year degree program or after your seventh semester exam gets over if you are in a 4-year degree program.

Weekly Math prep question for TANCET MBA

I will periodically post interesting questions similar to those that are tested in the TANCET MBA and TANCET MCA tests.

As you are aware a fifth (i.e.,) 20 questions out of the 100 questions in the TANCET MBA paper is the math or the quant section. And about 60 questions out of the 100 questions in TANCET MCA paper is the math or the quant section.

The math that is tested in both the TANCET MBA and TANCET MCA sections are 10th standard level math.

Be assured that you will not see any of the 12th standard level math questions such as Calculus, Matrices, Vectors etc., as this exam is open to even students who would not have taken math in class 12.

In effect, what TANCET math tests is Arithmetic, Basic Algebra, Geometry topics. For good measure get yourself acquainted with Modern math topics such as Permutation Combination and Probability and Set theory if you want to score high in this section.

TANCET Exam is conducted in the second or third week of May every year. If you are keen on cracking the test, then you should start your TANCET Preparation about 3 to 6 months before the test date.