Maharashtra 11th Admission CET 2021 Sample Question Paper on Mathematics
ABCD is a rectangular sheet of paper with AB= 42 cm and AD = 25 cm. A semi circular portion with CD as diameter is cut off. Find the area of the remaining portion of the paper.
(a) 268 sq.cm
(b) 357 sq.cm
(c) 146 sq.cm
(d) 214 sq.cm
b
Equation of the plane passing through the point (2,3,4) and making equal intercepts on the axes is ______
(a) x+y+z=3
(b) x+y+z=9
(c) x+y+z+3=0
(d) x+y+z=6
b
The first 15 even numbers and the first 10 odd numbers are written separately on slip and mixed well in a box. If a slip is drawn at random. What is the probability that the number on the slip is an even number?
(a) 4/7
(b) 3/5
(c) 1/5
(d) 2/7
b
If all the permutations of the word INDIA are arranged as in a dictionary, then the 14th word is _______
(a) DAIIN
(b) DAINI
(c) DANII
(d) DNAII
b
What is the 34th term of the sequence 7, 4, 1, ……?
(a) – 88
(b) – 92
(c) – 84
(d) – 96
b
Find the coordinates of the centroid of a triangle whose vertices are (5,-1), (-3,-2) and (-1,8).
(a) (-2,1)
(b) (1/3,5/2)
(c) (2/3, 1)
(d) (2, -2/5)
b
The probability of throwing a number less than 4 with a fair dice is _____
(a) 1/3
(b) 1/2
(c) 2/3
(d) 3/4
b
The ratio in which the YZ plane divides the line segment formed by joining the points (-2,4,7) and (3,-5,8) is _____
(a) 2 : 3
(b) 3 : 2
(c) 1 : 3
(d) 2 : 1
a
A restaurant charges 14% service charge and 11% VAT on the basic price of the food items. If the total bill of your meals is Rs. 6000, what is the VAT you have paid?
(a) Rs. 110
(b) Rs. 440
(c) Rs. 528
(d) Rs. 560
c
The number of terms of the sequence 21, 18, 15, 12, …. Which must be taken to give a sum zero is _____
(a) 20
(b) 15
(c) 22
(d) 17
b
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