Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction? [#1132]
Q1. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction? Q1. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction?
(A) 120 sec (A) 120 sec
(B) 100 sec (B) 100 sec
(C) 60 sec (C) 60 sec
(D) 50 sec (D) 50 sec
Answer: (D) 50 sec Answer: (D) 50 sec
The difference of speed = 22m/s - 20m/s = 2m/s
As the train with speed 22m/s will cross the other, hence this train have to go the smallest length of the trains distance ahead of the other to cross completely.
Hence This train will be ahead of 100m with a speed of 2m/s.
Hence The time to cross each other will take = 100m / (2m/s)
= 50 secThe difference of speed = 22m/s - 20m/s = 2m/s
As the train with speed 22m/s will cross the other, hence this train have to go the smallest length of the trains distance ahead of the other to cross completely.
Hence This train will be ahead of 100m with a speed of 2m/s.
Hence The time to cross each other will take = 100m / (2m/s)
= 50 sec
Q1. What is the term for a number that can be divided by 2? Q1. 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.
Q2. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is Q2. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is
Q3. Shyam stored Rs 35 in the form of 1 rupee coin and 50 paise coins in the ratio 2 : 3. The number of 50 paise coins are Q3. Shyam stored Rs 35 in the form of 1 rupee coin and 50 paise coins in the ratio 2 : 3. The number of 50 paise coins are
Q4. What is the term for the distance around a shape? Q4. What is the term for the distance around a shape?
(A) Area (A) Area
(B) Perimeter (B) Perimeter
(C) Volume (C) Volume
(D) Surface area (D) Surface area
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.
Q6. What is the term for a line that divides a shape into two equal parts? Q6. 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).
Q7. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is Q7. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
(A) 13 (A) 13
(B) 11 (B) 11
(C) 16 (C) 16
(D) 9 (D) 9
Answer: (A) 13 Answer: (A) 13
The smallest number amongst them is 13
=> X + (X+2) + (X+4) + (X+6) = 64
=> 4X + 12 = 64
=> 4X = 64 - 12
=> 4X = 52
=> X = 13The smallest number amongst them is 13
=> X + (X+2) + (X+4) + (X+6) = 64
=> 4X + 12 = 64
=> 4X = 64 - 12
=> 4X = 52
=> X = 13
Q9. Find the least number by which 1250 must be multiplied to make it a perfect square. Q9. Find the least number by which 1250 must be multiplied to make it a perfect square.