Quantitative Aptitude Mock Test - 4 - CA Foundation MCQ

The point in the interval [0,2π] where f(x)=e^x sin x has maximum slope, is

 3^-3log₃5= 

If f (x) is differentiable in the interval [2, 5], where f (2)=1/5  and f (5)=1/2, then there exists a number c, 2 < c < 5 for which f ' (c) is equal to  

If in a certain code, LUTE is written as MUTE and FATE is written as GATE, then how will BLUE be written in that code?

In a certain code, PRODUCTIONS is written as QQPCVEUHPMT. How is ORIENTATION written in that code?

If a,b,c are non – zero real numbers and if the equations (a-1) x = y + z, (b -1)y = z + x, (c - 1)z = x + y has a non trivial solution, then ab + bc + ca is equal to

Answer the question based on the following information.

The city K is 30 Km to the southeast of Z while Y is 50 Km to the northwest of K. Also , H is 38 Km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 Km. G also lies on this route and is exactly midway between L and Y. 

Q. A car starting from K at 9 am and running at a constant speed towards Y reaches H at 9.24 am and then reaches G at

(log₂x)²-3log₂x+2=0  

In a certain code, FAVOUR is written as EBUPTS. How is DANGER written in that code?

Answer the question based on the following information.

The city K is 30 Km to the southeast of Z while Y is 50 Km to the northwest of K. Also , H is 38 Km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 Km. G also lies on this route and is exactly midway between L and Y.

Q. The distance from G to H is

If P+√3Q+√5R+√15S=(1+√3+√5)-1, then :p=

( Where c is the constant of integeration)

Range of  is (where [x] denotes the greatest integer function)

The value of  is equal to

Let Where [x] denotes the greatest integer function. Then, the range of f is

Between any two real roots of the equation e^x sin x = 1, the equation e^x cos x = - 1 has

In a certain code language, ORIENTAL is written as MBUOFJSP. How is COWARDLY written in that code language?

These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown.

From the positions in the original figure,Bhushan and Amar move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. Chandu and Dilip move three side each anticlockwise and clockwise respectively. Where is the Amar now?

The seven coaches that are attached to a rail engine are AC-I, AC-II, AC-III, I, II, General Compartment (GC) and Ladies Compartment (LC). The coaches with prefix AC are Air conditioned coached and those without that prefix are non-AC coaches. No two AC coaches are together and no two non-AC coaches are together.
GC and LC are immediately at the front and immediately at the back of AC-II respectively and LC is not at an extreme end. 
Compartment I is the only one between the compartments AC-I and AC-I.
In the previous question, if AC-I is the fourth coach behind the engine, which is immediately in front of AC-III?

 then which of the following is definitely true if x is an integer  

The equation x log x = 3 - x has, in the interval (1, 3),

These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown. 
From the original position, Bhushan and Dilip move one and the half length of sides clockwise and anti clockwise receptively.

Q. which one of the following statement is now true?

These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown.
Amar start crossing the plot diagonally, After walking half distance, he turns right (900) , walks some distance and turns left.

Q. Which direction is A facing now?