MCA Entrance Previous Year Question Bank

There were a total of 10 bicyles and tricycles. If the total number of wheels was 24, how many tricycles were there?

If $a+b+c\ne 0$, then the system of equations

$(b+c)(y+z)-ax=b-c$

$(c+a)(z+x)-by=c-a$

$(a+b)(x+y)-cz=a-b$ has:

In an examination there are 100 questions divided into 3 parts A, B and C and each part should contain atleast one question. Each question in parts A, B and C carry 1, 2 and 3 marks respectively. Part A is for atleast 60% of the total marks and part B should contain 23 questions. How many questions must be set in part C?

In a club, there are certain number of males and females. If 15 females are absent, then number of males will be half of females. If 45 males are absent, then female strength will be 5 times that of males. Number of males actually present is

The number of values of $k$ for which the system of equations $(k+1)x+8y=4k$ and $kx+(k+3)y=3k-1$ has infinitely many solutions, is:

Directions : Read the information given below and answer the questions that follow : Four persons A, B, C and D play a cards game. They put Rs. 500 as stake money. When the game is over ‘C’ receives Rs. 19 more than ‘D’ and ‘B’ receives Rs. 21 less than ‘A’ whose amount was Rs. 2 less than the quarter of Rs. 500

Who get highest amount?

Directions : Read the information given below and answer the questions that follow : Four persons A, B, C and D play a cards game. They put Rs. 500 as stake money. When the game is over ‘C’ receives Rs. 19 more than ‘D’ and ‘B’ receives Rs. 21 less than ‘A’ whose amount was Rs. 2 less than the quarter of Rs. 500

How much money did ‘B’ get ?

Directions: Read the information given below and answer the questions that follow : Four persons A, B, C and D play a cards game. They put Rs. 500 as stake money. When the game is over ‘C’ receives Rs. 19 more than ‘D’ and ‘B’ receives Rs. 21 less than ‘A’ whose amount was Rs. 2 less than the quarter of Rs. 500

How much money did ‘C’ get ?

Consider the system of linear equations:

$3x_1+7x_2+x_3=2$

$x_1+2x_2+x_3=3$

$2x_1+3x_2+4x_3=13$

The system has:

The system of the equations x + y + 2z = a x + z = b 2x + y + 3z = c has a solution if