‘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. Find the least number by which 1250 must be multiplied to make it a perfect square. Q1. Find the least number by which 1250 must be multiplied to make it a perfect square.
Q2. What is the term for a shape with five sides? Q2. What is the term for a shape with five sides?
(A) Triangle (A) Triangle
(B) Quadrilateral (B) Quadrilateral
(C) Pentagon (C) Pentagon
(D) Hexagon (D) Hexagon
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.
Q4. If the price of sugar increases by 20%, by what percentage should a household reduce its consumption of sugar so that the budget remains the same? Q4. If the price of sugar increases by 20%, by what percentage should a household reduce its consumption of sugar so that the budget remains the same?
Q7. A number is as much greater than 22 as is less than 72. Then the number is Q7. A number is as much greater than 22 as is less than 72. Then the number is
Q8. What is the term for the result of multiplying a number by itself? Q8. What is the term for the result of multiplying a number by itself?
(A) Factor (A) Factor
(B) Product (B) Product
(C) Quotient (C) Quotient
(D) Square (D) Square
Answer: (D) Square Answer: (D) Square
The result of multiplying a number by itself is called a square, such as 4 × 4 = 16, which is denoted as 42 (four squared).The result of multiplying a number by itself is called a square, such as 4 × 4 = 16, which is denoted as 42 (four squared).
Q10. What is the term for all positive and negative numbers as a whole including zero? Q10. What is the term for all positive and negative numbers as a whole including zero?