NMMS Exam 2018 Previous Year Question Paper with Answers And Complete Analysis With Key For Practice Test Paper

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MATHEMATICS

Q). The largest number of four digits exactly divisible by 12, 15, 18 and 27 is
A) 8648
B) 9720
C) 6782
D) 5642

View Answer
B) 9720
Explanation: LCM of LCM of 12, 15, 18, 27
LCM=540
9999/540
Required number = 9999 – 279 = 9720

Q). If a679b is a five digit number that is divisible by 72, then the value of a + b is
A) 5
B) 8
C) 7
D) 6

View Answer
A) 5
Explanation: a679b =a+6+7+9+b
= 22 + a + b ‘—– (1)
a679b ——(2)
From (1) the number is divisible by 9.
From (2) last 3 digit divisible by 8 is the number divisible by 8.
Possible values b = 2, a = 3
a + b = 5

Q). if 154/69 is expressed as a+\frac1{b\;+{\displaystyle\frac1{c+{\displaystyle\frac1d}}}} then the value of (c + d)-(a + b), when a, b, c, d are integers.
A) 4
B) 5
C) 6
D) 2

View Answer
D) 2
Explanation: a = 2, b = 4, c = 3, d – 5
∴ (c + d) -(a + b) = (3 + 5) -(2 + 4) = 2

Q. if x : y = 3 : 4, then the value of (4x – y) : (2x + 3y) is
A) 4:9
B) 8:9
C) 4:3
D) 8:3

View Answer
A) 4:9
Explanation: x/y=3/4
x = 3k, y = 4k
= 4x -y/2x + 3y
=12k – 4k/6k + 12k
8k/18k =4/9 =4:9

Q). If x + y + z = 0, then \frac{x^2}{yz}+\frac{y^2}{zx}+\frac{z^2}{xy}

View Answer
E) 3
Explanation: x + y + z = 0
\frac{x^2}{yz}+\frac{y^2}{zx}+\frac{z^2}{xy}

Q). if 2n-2n-1 =4 , then the value of nn will be
A) 1
B) 3/2
C) 2
D) 27

View Answer
D) 27
Explanation: 2n-2n-1 =4
\begin{array}{l}2^n\;-\frac{2^n}2=4\;\\2^n\left(1-\frac12\right)=4\;\\2^n=8\;,\\\;2^n=2^3,\\n=3\;,\\so\;n^n=3^3=27\end{array}

Q). The ratio (of) between diagonals of two squares is 2: 1, then the ratio between their areas will be
A) 2:1
B) 4:1
C) 3:1
D) 6:1

View Answer
B) 4:1

Q). \frac{\left(3.63\right)^2-\left(2.37\right)^2}{3.63\;+\;2.37} is simplified to
A) 6
B) 1.36
C) 2.26
D) 1.26

View Answer
D) 1.26
Explanation: \frac{(3.63)^2\;-(2,37)^2}{3.63\;+\;2.37\;}\;\\=\frac{(3.63+2,37)\;(3.63-2.37)}{(3.63\;+\;2.37)}\\=\frac{6.00x1.26}{6.00}\\=1.26

Q). Simplest form of the expression \left(x^6.y^\frac{-5}4\right)^\frac{-4}3

View Answer
B) x^{-8}.y^\frac53

Q). If (x + y) : (x – y) = 5 : 1, then the value of (x2 – y2) : (x2 + y2) will be
A) 5:13
B) 2:3
C) 3:2
D) 13:5

View Answer
A) 5:13

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