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. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be : Q1. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :
(A) 5,420 (A) 5,420
(B) 5,580 (B) 5,580
(C) 5,620 (C) 5,620
(D) 5,780 (D) 5,780
Answer: (B) 5,580 Answer: (B) 5,580
The formula for the sum of the first n terms of an arithmetic progression is
= 15*(12+360)
= 15 * 372
= 5580The formula for the sum of the first n terms of an arithmetic progression is
= 15*(12+360)
= 15 * 372
= 5580
Q3. What is the sum of the interior angles of a triangle? Q3. 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.
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?
Q6. Find the least number by which 1250 must be multiplied to make it a perfect square. Q6. Find the least number by which 1250 must be multiplied to make it a perfect square.
Q7. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are Q7. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q8. What is the formula to calculate the area of a circle? Q8. What is the formula to calculate the area of a circle?
(A) A = πr2 (A) A = πr2
(B) A = 2πr (B) A = 2πr
(C) A = πd (C) A = πd
(D) A = 1/2πr2 (D) A = 1/2πr2
Answer: (A) A = πr2 Answer: (A) A = πr2
The formula to calculate the area of a circle is A = πr2, where A is the area and r is the radius of the circle.The formula to calculate the area of a circle is A = πr2, where A is the area and r is the radius of the circle.
Q10. What is the term for the distance around a shape? Q10. 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.
