Quantitative Aptitude Mock Test - 1 - CA Foundation MCQ

Out of 9 people, one has not to be selected.
Therefore, there are total 8 persons. We have to select 5 among them.
Total number of ways = ⁸C₅

Correct Answer :- d

Explanation : Thus, all the conditions of Rolle’s theorem are satisfied. 

Now, we have to show that, there exists a point c ∈ (π/4 , 5π/4) such that f'(c) = 0. 

⇒ e^x(sinx – cosx) + e^x(cosx + sinx) = 0

⇒ (sinx – cosx) + (cosx + sinx) = 0 

⇒ 2sinx = 0 ⇒ sinx = 0 

⇒ c = π ∈ (π/4 , 5π/4)

If a series consists only a finite number of terms it is called a Finite series.
Hence, the answer is finite series.

CEG is formed by skipping the letters in between them, the second set EGC is formed by simply putting the first letter of CEG at last to form EGC, 
Follow the same rule to get the answer. LNP and NPL.

A bounded feasible region will have both a maximum value and a minimum value for the objective function. It is bounded if it can be enclosed in any shape.
A convex polygon is a simple not self-intersecting closed shape in which no line segment between two points on the boundary ever goes outside the polygon.
Hence, the answer is convex polygon.

Quality of cloth is determined by its texture, similarly, quality of wheat is determined by grains.

If we observe the difference between two consecutive term are 5, 10, 25. It increases by 5. so the next diffrence must be 15.
So next term will be = 21 + 15 = 36

The 5th letter from A correspond to 5th from Z and therefore 9th letter 'I' from A would correspond 9th letter 'R' from Z.

Volcano causes lava to flow. Faulting or displacement of earth crust causes an earthquake. Both the natural occurrences connected with earth.

Correct Answer :- a

Explanation : Suppose we want to find the differentiation of a function of x, say f(x). We can write it as: df/dx 

Now, if f(x) is itself is not a function of x, but of another function of x, suppose g. That is, we have f[g(x)], we have to use the chain rule of differentiation.

df/dx = df/dg × dg/dx 

In the given question, it is clearly observable that

f (x)=sin(x)   and   g(x)=2sin^-1(x) 

Thus the answer is as follows:

cos(2sin^-1(x)) × 2/(√1−x²)

Correct Answer :- a

Explanation : Suppose we want to find the differentiation of a function of x, say f(x). We can write it as: df/dx 

Now, if f(x) is itself is not a function of x, but of another function of x, suppose g. That is, we have f[g(x)], we have to use the chain rule of differentiation.

df/dx = df/dg × dg/dx 

In the given question, it is clearly observable that

f (x)=sin(x)   and   g(x)=2sin^-1(x) 

Thus the answer is as follows:

cos(2sin^-1(x)) × 2/(√1−x²)

In other groups, first two letters are consecutive and between second and third there is a gap of one letter.
But in option D all the letters are consecutive.

Air and Oxygen comes under Atmosphere.
Students are divided in two categories boys and girls.
Dog and Cat comes under the category of Animal.
Man, Worker, Garden are not related category wise.
Hence, option C is different among all. 

Only  son  of  Veena's  grandfather  is  her  father. And son of her father is her brother.
Hence, that boy is Veena's brother.

582 ÷ 3 = 194
Similarly, 258 ÷ 3 = 86
Hence answer is option B

Wife of the husband means herself, Brother of her daughter means her son