‘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
An equilateral triangle is a triangle with three equal sides and angles, a regular polygon with three sides.An equilateral triangle is a triangle with three equal sides and angles, a regular polygon with three sides.
Q2. What is the sum of the interior angles of a triangle? Q2. What is the sum of the interior angles of a triangle?
(A) 180 degrees (A) 180 degrees
(B) 270 degrees (B) 270 degrees
(C) 360 degrees (C) 360 degrees
(D) 450 degrees (D) 450 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.
Q3. The count of prime numbers between 80 and 100 is Q3. The count of prime numbers between 80 and 100 is
(A) 2 (A) 2
(B) 5 (B) 5
(C) 3 (C) 3
(D) 4 (D) 4
Answer: (C) 3 Answer: (C) 3
Prime numbers are numbers that are only divisible by 1 and themselves. Between 80 and 100, the prime numbers are 83, 89, and 97. Therefore, there are 3 prime numbers in this range.Prime numbers are numbers that are only divisible by 1 and themselves. Between 80 and 100, the prime numbers are 83, 89, and 97. Therefore, there are 3 prime numbers in this range.
Q4. If 20% of a is b, then b% of 20 is the same as : Q4. If 20% of a is b, then b% of 20 is the same as :
(A) 4% of a (A) 4% of a
(B) 8% of a (B) 8% of a
(C) 6% of a (C) 6% of a
(D) 10% of a (D) 10% of a
Answer: (A) 4% of a Answer: (A) 4% of a
20% of a is b
Hence b = 20% of a = 20a/100
b% of 20
= 20% of b
= (20/100) * 20a/100
= (20*20*a)/(100*100)
= 4a/100
= (4/100) * a
= 4% of a20% of a is b
Hence b = 20% of a = 20a/100
b% of 20
= 20% of b
= (20/100) * 20a/100
= (20*20*a)/(100*100)
= 4a/100
= (4/100) * a
= 4% of a
Q6. Two numbers are in the ratio 2 : 3 and the product of their HCF and LCM is 96. The sum of the two numbers is Q6. Two numbers are in the ratio 2 : 3 and the product of their HCF and LCM is 96. The sum of the two numbers is
Q7. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is Q7. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is
Q9. 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? Q9. 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.
Q10. What is the term for a angle greater than 90 degrees but less than 180 degrees? Q10. What is the term for a angle greater than 90 degrees but less than 180 degrees?
(A) Acute angle (A) Acute angle
(B) Right angle (B) Right angle
(C) Obtuse angle (C) Obtuse angle
(D) Straight angle (D) Straight angle
Answer: (C) Obtuse angle Answer: (C) Obtuse angle
An obtuse angle is an angle greater than 90 degrees but less than 180 degrees, like the angle formed by two walls that meet at a corner.An obtuse angle is an angle greater than 90 degrees but less than 180 degrees, like the angle formed by two walls that meet at a corner.
