The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. Two cars starts from points A and B at the same time moving towards each other and meet at point C. Find the distance between points A and C. I) Distance between A and B is 150 km. II) They meet after 2 hrs. III) Ratio of their speeds is 3 ∶ 2.?

Any one
Any two
All three
Neither of them
None of the above

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : All three

Considering all three statements,

Let their speeds be ‘3x’ and ‘2x’ respectively

In 2 hrs,

Distance covered from A + Distance covered from B = 150

⇒ 2(3x) + 2(2x) = 150

⇒ x = 150/10 = 15

⇒ Distance between A and C = Distance covered from A = 6x = 6(15) = 90 km

∴ The question can be answered using all the three statements

5 views Answered 2022-09-04 04:29

Related Questions

Two cars start from 2 cities P and Q at same time. Car A which started from city P travels 25% of the distance at 75 Km/hr and next 50% distance at 45 Km/hr and remaining distance at 50 Km/h. At the same time Car B which started from city Q covered its journey in 3 equal phases of time at a speed of 30 Km/h, 60 Km/h and 90 Km/h. If the distance P and Q is 900Km, find the time after which the two cars cross each other?

1 Answers 10 Views

In the following question, three statements are given. You have to find which is/are necessary and sufficient to answer the following question. Find the ratio of speeds of the lion, dog, and fox. Statement I∶ For every 10 jumps of the lion, the dog takes 7 jumps and the fox takes 12 jumps. Statement II∶ The lion, the dog, and the fox cover distances of 4 m, 12 m, and 3 m respectively in one jump. Statement III∶ The distance covered by the dog in 5 jumps, the distance covered by the lion in 15 jumps, and the distance covered by the fox in 20 jumps are equal.?

1 Answers 6 Views

The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Suman borrowed some amount of money at compound interest for 3 years. Find the amount to be paid by her after 3 years. Statement I: Simple interest on the same sum at the same rate of interest in 5 years will be 1/4th of the principal. Statement II: The simple interest on the sum after 6 years will be Rs. 12000. Statement III: The sum borrowed is 5 times the simple interest of 4 years.?

1 Answers 5 Views

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the amount of savings done by Arun. Statement I: Ratio of incomes of Arun, Vishal and Pavan is 3 : 2 : 4. Statement II: Vishal and Pavan saves Rs. 4000 & 10000 respectively out of their respective incomes. Statement III: Ratio of expenditures of Arun, Vishal and Pavan is 10 : 8 : 15.?

1 Answers 7 Views

The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. In a cinema hall, the amount collected after selling the tickets was Rs. 37500. Find the cost of a ticket if the cost of every ticket is same. Statement I: If the price of each ticket is increased by Rs. 30, the amount collected will be Rs. 4500 more. Statement II: Ratio of number of tickets and the cost of a ticket is 3 : 5. Statement III: If the number of tickets is decreased by 30 (keeping the cost per ticket constant), the amount collected will be Rs. 7500 less.?

1 Answers 5 Views

The following question have three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. A shopkeeper sells some shirts and pants which are in the ratio 7 : 5 to a customer. Find the percentage profit earned by the shopkeeper. Statement I: Ratio of cost prices of a shirt and a pant is 3 : 5. Statement II: Total amount received by the shopkeeper while selling these items is Rs. 29000 and equal amount of profit is earned in each shirt and pant. Statement III: Total cost price of a shirt and a pant is Rs. 400.?

1 Answers 6 Views

The following question has three statements. Study the question and the statements to decide which of the statement(s) is/are necessary to answer the question. P, Q and R started a business with capital in the ratio 4 ∶ 3 ∶ 6. Find the share of Q in the profit at the end of the year. Statement I: R left after 6 months withdrawing his capital Statement II: R gets Rs. 600 from the profit as a monthly salary and his total salary turns out to be 10% of the annual profit Statement III: P invested Rs. 45000 in the business?

1 Answers 5 Views

The following question has three statements. Study the question and the statements to decide which of the statement(s) is/are necessary to answer the question. A train starts from point A towards point B, but after ‘n’ hours, its speed becomes 2/3rd of the normal speed due to some fault. Find the value of n. Statement I: The fault occurred at a distance of 800 km from the destination Statement II: Had the fault occurred 200 km further, the train would have got late by 30 min Statement III: The train got late by 40 min?

1 Answers 5 Views

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the ratio of speed of Boat in still water to the speed of the current Statement I: here are three points on the bank of the rivers namely A, B and C. Statement II: B is at the same distance to the A as it is from C the man can row from A to B downstream in 3 hours. Statement III: The man rows from A to B and returns back in 9 hours.?

1 Answers 6 Views

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the distance after which the speed of the of the stream changes. Statement I: A man rowing a boat in downstream and the speed of the boat in still water is four times the speed of the stream. Statement II: The speed of the stream is 2 kmph which is increased by 2 kmph after travelling some distance thereby reaching the destination earlier by 5 minutes. Statement III: Total distance covered by the boat is 25 km in downstream.?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)