NMMS Exam 2019 Previous Year Question Paper with Answers And Complete Analysis With Key For Practice Test Paper

Q) If 0.3(4x’+ 1) = 2x-3.7, then the value of ‘x’ is
A) 2
B) 3
C) 4.3
D) 5

View Answer
D) 5
Explanation: ) 0.3 (4x + 1) = 2x- 3.7
1.2x + 0.3 = 2x-3.7
0.3 + 3.7 = 2x- 1.2x .
4 = 0.8x
4/0.8 =x
4/(8/10) =5

Q) If 75% of a number added to 75 is equal to the number itself, then the number is
A) 50
B) 60
C) 300
D) 400

View Answer
C) 300
Explanation: Let the required number = x
75% of x + 75 = x
75/100 x X + 75 = X
(¾)x+75 =x
75×4=300

Q) The sum of additive inverse and multiplicative inverse of 2 is
A) -3/2
B) 1/2
C) 3/2
D) -1/2

View Answer
A) -3/2
Explanation: Additive inverse of 2 = – 2
Multiplicative inverse of 2 = ½
Sum of A.I and M.Iof 2 = -2+ ½ =-3/2

Q) The ratio of length and breadth of a rectangle is 5 : 3. If its area is 3.75 hectares, then the length of the rectangle in meters is
A) 100
B) 150
C) 250
D) 200

View Answer
C) 250
Explanation: The ratio of length and breadth of a rectangle = 5:3
Let length (I) = 5x and Breadth (b) = 3x
A = 3.75 Hectares = 37500 m2
Area = lb = 3.75 Hectares (Given)
(5x)(3x) = 3.75 x 10,000 m2
=> 15×2 = 37500 m2 ( 1 Hectare = 10,000 m2)
X2=37500/ 15 =2500m2 = (50) m2
X=50m
Length = 5x = 5 x 50 = 250 m

Q) In the given figure, all squares are of the ‘ same size. If the toted area of the figure is .288 cm2, then its perimeter in ‘cm’ is

A) 86
B) 96
C) 106
D) 92

View Answer
B) 96
Explanation: Area of each small square =288/8 = 36 cm
Side of a small square = 6 cm
Perimeter of the given figure
= 6+ 12 + 6 + 6 + 12 + 6 + 6 + 12 + 6 + 6+12 + 6
8×6+4×12=48+48=96

Q) Simplified form of
\left(X- \frac1X\right)\left(X+\frac1X\right)\left(X^2+\frac1{X^2}\right)\left(X^4+\frac1{X^4}\right)
A) \left(X^8-\frac1{X^8}\right)
B) \left(X^6+\frac1{X^6}\right)
C) \left(X^4-\frac1{X^4}\right)
D) \left(X^6-\frac1{X^6}\right)
A) A
B) B
C) C
D) D

View Answer
Explanation: A) A

Q) Latha bought a purse for Rs.240 and sold it for Rs.220. Her loss or gain percent is
A) 6(1/3) % loss
B) 8/3 % GAIN
C) 25% GAIN
D) 8 1/3 LOSS

View Answer
D) 8 1/3 LOSS
Explanation: C.P of the purse = Rs 240
S.P of the purse = Rs 220
Loss = Rs 20 (C.P > S.P Loss)
Loss% = (loss/cp)X100 = (20/240)x100 =25/3 = 8(1/3)%

Q) If the ratio of circumferences of two circles is 4 : 9, then the ratio of their radii is
A) 4:9
B) 9:4
C) 2:3
D) 3:2

View Answer
A) 4:9
Explanation: ) Circumferences of two circles = 4:9
2Ï€r1 : 2Ï€r2 = 4 : 9
=> r1, : r2 = 4 : 9
Ratio of their radii = 4:9

Q) Identify the rational number between 1/3 AND 4/5
A) 1/4
B) 9/10
C) 17/30
D) 1 7/10

View Answer
C) 17/30
Explanation: 17/30 = 0.56…..
0.56 lie in between 0.33 and 0.8,

Q) Which of the following is a Pythagorean triplet ?
A) 16,18,20
B) 1,2,3
C) 50,51,52
D) 30,40,50

View Answer
D) 30,40,50
Explanation: 302 + 402= 900+ 1600 = 2500 = 502
302 + 402 = 502
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