Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is [#1110]
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Q1. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is
Q1. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is
(A) 8
(A) 8
(A) 8
(B) 12
(B) 12
(B) 12
(C) 20
(C) 20
(C) 20
(D) 36
(D) 36
(D) 36
Answer: (C) 20
Answer: (C) 20
Answer: (C) 20
=> 2x * 3x = 96
=> 6x2 = 96
=> x2 = 96/6
=> x2 = 16
=> x = 4
2x + 3x = 5x = 5 * 4 = 20
=> 2x * 3x = 96 => 6x2 = 96 => x2 = 96/6 => x2 = 16 => x = 4 2x + 3x = 5x = 5 * 4 = 20
=> 2x * 3x = 96 => 6x2 = 96 => x2 = 96/6 => x2 = 16 => x = 4 2x + 3x = 5x = 5 * 4 = 20
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Related MCQ Quizzes
Q1. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction is
Q1. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction is
(A)
(A)
(A)
(B)
(B)
(B)
(C)
(C)
(C)
(D)
(D)
(D)
Answer: (D)
Answer: (D)
Answer: (D)
>
=
=
> = =
> = =
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Q2. The simple interest earned by 4,000 in 18 months at 12% per annum is
Q2. The simple interest earned by 4,000 in 18 months at 12% per annum is
(A) 216
(A) 216
(A) 216
(B) 720
(B) 720
(B) 720
(C) 360
(C) 360
(C) 360
(D) 960
(D) 960
(D) 960
Answer: (B) 720
Answer: (B) 720
Answer: (B) 720
720
720
720
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Q3. If A : B = 3, then 144A : 36B is
Q3. If A : B = 3, then 144A : 36B is
(A) 4
(A) 4
(A) 4
(B) 12
(B) 12
(B) 12
(C) 3
(C) 3
(C) 3
(D) 16
(D) 16
(D) 16
Answer: (B) 12
Answer: (B) 12
Answer: (B) 12
A : B = 3
=> = 3
=
= x 3
= 4 x 3
= 12
A : B = 3 => = 3 = = x 3 = 4 x 3 = 12
A : B = 3 => = 3 = = x 3 = 4 x 3 = 12
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Q4. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers is
Q4. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers is
(A) 17
(A) 17
(A) 17
(B) 21
(B) 21
(B) 21
(C) 23
(C) 23
(C) 23
(D) 19
(D) 19
(D) 19
Answer: (C) 23
Answer: (C) 23
Answer: (C) 23
X + (X+2) + (X+4) + (X+6) + (X+8) = 95
=> 5X + 20 = 95
=> 5X = 95-20
=> 5X = 75
=> X = 15
Hence (X+8) = 15+8 = 23
X + (X+2) + (X+4) + (X+6) + (X+8) = 95 => 5X + 20 = 95 => 5X = 95-20 => 5X = 75 => X = 15 Hence (X+8) = 15+8 = 23
X + (X+2) + (X+4) + (X+6) + (X+8) = 95 => 5X + 20 = 95 => 5X = 95-20 => 5X = 75 => X = 15 Hence (X+8) = 15+8 = 23
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Q5. Find the value of the following expression
Q5. Find the value of the following expression
48÷12+4×25÷5
48÷12+4×25÷5
48÷12+4×25÷5
(A) 15
(A) 15
(A) 15
(B) 24
(B) 24
(B) 24
(C) 40
(C) 40
(C) 40
(D) 25
(D) 25
(D) 25
Answer: (B) 24
Answer: (B) 24
Answer: (B) 24
24
24
24
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Q6. What is the term for a shape with five sides?
Q6. What is the term for a shape with five sides?
(A) Triangle
(A) Triangle
(A) Triangle
(B) Quadrilateral
(B) Quadrilateral
(B) Quadrilateral
(C) Pentagon
(C) Pentagon
(C) Pentagon
(D) Hexagon
(D) Hexagon
(D) Hexagon
Answer: (C) Pentagon
Answer: (C) Pentagon
Answer: (C) Pentagon
A pentagon is a polygon with five sides, like the shape of the Pentagon building in Washington, D.C.
A pentagon is a polygon with five sides, like the shape of the Pentagon building in Washington, D.C.
A pentagon is a polygon with five sides, like the shape of the Pentagon building in Washington, D.C.
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Q7. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is
Q7. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is
(A) 24
(A) 24
(A) 24
(B) 18
(B) 18
(B) 18
(C) 48
(C) 48
(C) 48
(D) 36
(D) 36
(D) 36
Answer: (A) 24
Answer: (A) 24
Answer: (A) 24
6*4 = 24
8*3 = 24
12*2 = 24
6*4 = 24 8*3 = 24 12*2 = 24
6*4 = 24 8*3 = 24 12*2 = 24
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Q8. What is the term for the distance around a shape?
Q8. What is the term for the distance around a shape?
(A) Area
(A) Area
(A) Area
(B) Perimeter
(B) Perimeter
(B) Perimeter
(C) Volume
(C) Volume
(C) Volume
(D) Surface area
(D) Surface area
(D) Surface area
Answer: (B) Perimeter
Answer: (B) Perimeter
Answer: (B) Perimeter
The perimeter is the distance around a shape, like the distance around a rectangle, triangle, or circle.
The perimeter is the distance around a shape, like the distance around a rectangle, triangle, or circle.
The perimeter is the distance around a shape, like the distance around a rectangle, triangle, or circle.
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Q9. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?
Q9. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?
(A) 64 kmph
(A) 64 kmph
(A) 64 kmph
(B) 84 kmph
(B) 84 kmph
(B) 84 kmph
(C) 48 kmph
(C) 48 kmph
(C) 48 kmph
(D) 36 kmph
(D) 36 kmph
(D) 36 kmph
Answer: (C) 48 kmph
Answer: (C) 48 kmph
Answer: (C) 48 kmph
12
---- x 60 = 48 KMPH
15
12 ---- x 60 = 48 KMPH 15
12 ---- x 60 = 48 KMPH 15
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Q10. What is the sum of the interior angles of a triangle?
Q10. What is the sum of the interior angles of a triangle?
(A) 180 degrees
(A) 180 degrees
(A) 180 degrees
(B) 270 degrees
(B) 270 degrees
(B) 270 degrees
(C) 360 degrees
(C) 360 degrees
(C) 360 degrees
(D) 450 degrees
(D) 450 degrees
(D) 450 degrees
Answer: (A) 180 degrees
Answer: (A) 180 degrees
Answer: (A) 180 degrees
The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.
The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.
The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.
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