‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is : [#1122]
Q1. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is : Q1. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is :
(A) 1.5 km (A) 1.5 km
(B) 1.75 km (B) 1.75 km
(C) 1.2 km (C) 1.2 km
(D) 1.25 km (D) 1.25 km
Answer: (C) 1.2 km Answer: (C) 1.2 km
A starts journey before B at a speed of 1 m/s. Hence A will be ahead of B
(10*60)s * 1m/s = 600m
Let A covers a distance of X after starting of B,
Then X + 600m = 2X
=> 2X - X = 600m
=> X = 600m
Hence B will cover a distance of 2X = 2 * 600m = 1200m = 1.2 kmA starts journey before B at a speed of 1 m/s. Hence A will be ahead of B
(10*60)s * 1m/s = 600m
Let A covers a distance of X after starting of B,
Then X + 600m = 2X
=> 2X - X = 600m
=> X = 600m
Hence B will cover a distance of 2X = 2 * 600m = 1200m = 1.2 km
Q1. What is the term for the point where two or more lines intersect? Q1. What is the term for the point where two or more lines intersect?
(A) Vertex (A) Vertex
(B) Edge (B) Edge
(C) Face (C) Face
(D) Intersection (D) Intersection
Answer: (A) Vertex Answer: (A) Vertex
In geometry, a vertex (plural: vertices) is the point where two or more lines, rays, or edges meet, like the corner of a triangle or the point where two streets intersect.In geometry, a vertex (plural: vertices) is the point where two or more lines, rays, or edges meet, like the corner of a triangle or the point where two streets intersect.
Q4. What is the term for a number that can be divided by 2? Q4. What is the term for a number that can be divided by 2?
(A) Prime number (A) Prime number
(B) Odd number (B) Odd number
(C) Even number (C) Even number
(D) Fraction (D) Fraction
Answer: (C) Even number Answer: (C) Even number
An even number is a whole number that is divisible by 2, such as 4, 6, or 8.An even number is a whole number that is divisible by 2, such as 4, 6, or 8.
Q5. What is the name of the mathematical concept that describes a value that never changes, like the ratio of a circle's circumference to its diameter? Q5. What is the name of the mathematical concept that describes a value that never changes, like the ratio of a circle's circumference to its diameter?
(A) Variable (A) Variable
(B) Constant (B) Constant
(C) Fraction (C) Fraction
(D) Decimal (D) Decimal
Answer: (B) Constant Answer: (B) Constant
A constant is a mathematical concept that represents a value that remains unchanged, like pi (π), which is approximately 3.14 and never changes.A constant is a mathematical concept that represents a value that remains unchanged, like pi (π), which is approximately 3.14 and never changes.
Q6. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is Q6. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is
Q7. In a school with 10 teachers, one retires and immediately a new teacher of age 25 years joins. As a result, the average age of the teacher reduces by 3. The age of the retired teacher is Q7. In a school with 10 teachers, one retires and immediately a new teacher of age 25 years joins. As a result, the average age of the teacher reduces by 3. The age of the retired teacher is
(A) 55 years (A) 55 years
(B) 65 years (B) 65 years
(C) 58 years (C) 58 years
(D) 60 years (D) 60 years
Answer: (A) 55 years Answer: (A) 55 years
25 years + (3*10) years = 55 years25 years + (3*10) years = 55 years
Q9. When three times of a given number is subtracted from the square of the number, the result is the number itself. The number is Q9. When three times of a given number is subtracted from the square of the number, the result is the number itself. The number is
