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  • Question
  • Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?


  • Options
  • A. Rs. 4, Rs. 23
  • B. Rs. 13, Rs. 17
  • C. Rs. 15, Rs. 14
  • D. Rs. 17, Rs. 13

  • Correct Answer
  • Rs. 13, Rs. 17 

    Explanation

    Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

    Then, 2x + 3y = 77 ...(i) and

    3x + 2y = 73 ...(ii)

    Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

    Putting y = 17 in (i), we get: x = 13.


  • Arithmetic Reasoning problems


    Search Results


    • 1. If you write down all the numbers from 1 to 100, then how many times do you write 3 ?

    • Options
    • A. 11
    • B. 18
    • C. 20
    • D. 21
    • Discuss
    • 2. The government is set to launch the most ambitious bets to ward off cybercrime in its Rs 1,000-crore National Cyber Coordination Centre project slated to begin operations by the end of this month. According to government officials, the Centre is meant to monitor the cyber traffic in the country and prevent possible large-scale cyber attacks by analyzing the traffic. It will begin with tracking the networks of a handful of Internet Service Providers (ISPs) and data centers. Which of the following statements most strongly supports the argument?

    • Options
    • A. The government seems to be fast-tracking its efforts to strengthen cyber security especially after the unprecedented rise in the digital transactions in the country since demonetization.
    • B. In the wake of large-scale cyber attacks in the country recently, the government has taken several measures to contain the spread of cybercrime.
    • C. The Centre will monitor the flow of traffic and analyze upcoming attacks and take action in real time.
    • D. None of these
    • Discuss
    • 3. Six persons A, B, C, D, E and F lives on 6 different floors of a same building. Bottommost floor is first, the floor above it is second and so on till topmost floor which is sixth. A lives on odd numbered floor. C lives immediately below A. Two floors gap between floors of C and F. D lives immediately above F. B lives above E, who lives below F. How many persons live below E?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 4. Beautiful beaches attract people, no doubt about it. Just look at this city's beautiful beaches, which are among the most overcrowded beaches in the state. Which of the following exhibits a pattern of reasoning most similar to the one exhibited in the argument above?

    • Options
    • A. Moose and bear usually appear at the same drinking ...........hole at the same time of day. Therefore, moose and ...........bear must grow thirsty at about the same time.
    • B. During warm weather my dog suffers from fleas ...........more so than during cooler weather. Therefore, ...........fleas must thrive in a warm environment.
    • C. Both A and B
    • D. None
    • Discuss
    • 5. Lycopene, glutathione, and glutamine are powerful antioxidants that neutralize the free radicals that are produced in the body as a result of routine bodily processes. An excess of these free radicals in your system causes rapid aging because they accelerate the rate of cellular damage. Aging is simply the result of this damage. Thus, to slow down aging it is necessary to supplement your diet with these antioxidants on a daily basis. Which of the following, if true, most seriously undermines the author's contention?

    • Options
    • A. Most persons aren't concerned with the effects of aging ...........until it is too late to do anything
    • B. Exercise associated with normal daily activities effectively ...........neutralizes and dissipates the free radicals that are ...........produced as a result of routine bodily processes.
    • C. Both A and B
    • D. None
    • Discuss
    • 6. A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?

    • Options
    • A. 32 rolls
    • B. 54 rolls
    • C. 108 rolls
    • D. 120 rolls
    • Discuss
    • 7. Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

    • Options
    • A. 20 years
    • B. 22 years
    • C. 25 years
    • D. 27 years
    • Discuss
    • 8. Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?

    • Options
    • A. 23 years
    • B. 25 years
    • C. 33 years
    • D. 35 years
    • Discuss
    • 9. In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

    • Options
    • A. 18
    • B. 36
    • C. 45
    • D. None of these
    • Discuss
    • 10. In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?

    • Options
    • A. 20
    • B. 25
    • C. 30
    • D. Data inadequate
    • Discuss


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