‘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. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes? Q1. 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
(B) 84 kmph (B) 84 kmph
(C) 48 kmph (C) 48 kmph
(D) 36 kmph (D) 36 kmph
Answer: (C) 48 kmph Answer: (C) 48 kmph
12
---- x 60 = 48 KMPH
1512
---- x 60 = 48 KMPH
15
Q2. What is the term for a line that divides a shape into two equal parts? Q2. What is the term for a line that divides a shape into two equal parts?
(A) Axis (A) Axis
(B) Median (B) Median
(C) Vertex (C) Vertex
(D) Bisector (D) Bisector
Answer: (D) Bisector Answer: (D) Bisector
A bisector is a line that divides a shape into two equal parts, like a line that cuts a triangle into two equal areas or a line that divides a circle into two equal parts (semi-circles).A bisector is a line that divides a shape into two equal parts, like a line that cuts a triangle into two equal areas or a line that divides a circle into two equal parts (semi-circles).
Q3. If the average age of A, B and C is 22 years and the average age of B and C is 25 years, then find the age of A after 9 years from now. Q3. If the average age of A, B and C is 22 years and the average age of B and C is 25 years, then find the age of A after 9 years from now.
(A) 25 years (A) 25 years
(B) 35 years (B) 35 years
(C) 50 years (C) 50 years
(D) 45 years (D) 45 years
Answer: (A) 25 years Answer: (A) 25 years
25 years
=> A+B+C = 22*3
=> A+(B+C) = 66
=> A+(25*2) = 66
=> A = 66-50
=> A = 16
After 9 years A = 16+9 = 25 years25 years
=> A+B+C = 22*3
=> A+(B+C) = 66
=> A+(25*2) = 66
=> A = 66-50
=> A = 16
After 9 years A = 16+9 = 25 years
Q5. The angles of a quadrilateral are in the ratio of 1 : 3 : 4 : 7. The difference between the largest and the smallest angle is Q5. The angles of a quadrilateral are in the ratio of 1 : 3 : 4 : 7. The difference between the largest and the smallest angle is
Q7. What is the value of x in the equation 2x + 5 = 11? Q7. What is the value of x in the equation 2x + 5 = 11?
(A) 2 (A) 2
(B) 3 (B) 3
(C) 4 (C) 4
(D) 5 (D) 5
Answer: (B) 3 Answer: (B) 3
To solve for x, subtract 5 from both sides of the equation, resulting in 2x = 6. Then, divide both sides by 2, giving x = 3.To solve for x, subtract 5 from both sides of the equation, resulting in 2x = 6. Then, divide both sides by 2, giving x = 3.
Q8. What is the term for a angle greater than 90 degrees but less than 180 degrees? Q8. 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.
Q9. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is Q9. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is
