Direction: Five statements are given below, labelled A, B, C, D and E. Among these, four statements are in logical order and form a coherent paragraph/passage. From the given options, choose the option that does not fit into the theme of the passage.
Question 2
Direction: Five statements are given below, labelled A, B, C, D and E. Among these, four statements are in logical order and form a coherent paragraph/passage. From the given options, choose the option that does not fit into the theme of the passage.
Question 3
Direction: Five statements, labelled A, B, C, D and E are given. Among these, four statements are in a logical order and form a coherent paragraph/passage. From the given options, choose the option that does not fit into the theme of the passage.
Question 4
Direction:Five statements are given below, labelled A, B, C, D and E. Among these, four statements are in logical order and form a coherent paragraph/passage. From the given options, choose the option that does not fit into the theme of the passage.
Question 5
Direction: Five statements, labelled A, B, C, D and E are given. Among these, four statements are in a logical order and form a coherent paragraph/passage. From the given options, choose the option that does not fit into the theme of the passage.
Question 6
Direction:Read the paragraph carefully and answer the questions:
729 small cubelets are painted green on each face and then arranged together so as to form 27 identical medium-sized cubes. Each of these 27 medium-sized cubes is painted black on all the outside faces. The 27 medium-sized cubes are now arranged to form one large cube and the faces of this large cube are painted green again.
What is the number of small cubelets that have at least one face painted black?
Question 7
Direction:Read the paragraph carefully and answer the questions:
729 small cubelets are painted green on each face and then arranged together so as to form 27 identical medium-sized cubes. Each of these 27 medium-sized cubes is painted black on all the outside faces. The 27 medium-sized cubes are now arranged to form one large cube and the faces of this large cube are painted green again.
What is the number of small cubelets that have at least one face painted green?
Question 8
Direction:Read the paragraph carefully and answer the questions:
729 small cubelets are painted green on each face and then arranged together so as to form 27 identical medium-sized cubes. Each of these 27 medium-sized cubes is painted black on all the outside faces. The 27 medium-sized cubes are now arranged to form one large cube and the faces of this large cube are painted green again.
What is the number of small cubelets which have an equal number of faces painted green and black?
Question 9
Direction:Read the paragraph carefully and answer the questions:
729 small cubelets are painted green on each face and then arranged together so as to form 27 identical medium-sized cubes. Each of these 27 medium-sized cubes is painted black on all the outside faces. The 27 medium-sized cubes are now arranged to form one large cube and the faces of this large cube are painted green again.
What is the number of small cubelets that have all the faces painted green?
Question 10
Find z, if it is known that:
a. –y2 + x2 = 20,
b. y3 – 2x2 – 4z ≥ – 12 and
c. x, y and z are all positive integers
Question 11
If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals
Question 12
Rahul has just made a 3 × 3 magic square, in which, the sum of the cells along any row, column or diagonal, is the same number N. The entries in the cells are given as expressions in x, y and z. Find N.
Question 13
On a random Sunday, a shopkeeper sold 3 types of toys. Each toy of the 3 varieties is sold at Rs. 100, Rs. 50 and Rs. 25 respectively. If the total sales on that day was of Rs. 1800 and that shopkeeper sold at least one toy of each variety, then the maximum number of toys he could have sold on that Sunday is. (TITA)
Question 14
The number of solutions of the equation where both and are positive integers and is
Question 15
The system of three linear equations given below has x + 2y + 2z = 1 2x + 5y + 2z = 4 3x + 8y + 2z = 8
where both 
and 
are positive integers and 
is
