CAT Practice Question and Answer

Q: A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ? 1479 0

  • 1
    8 months
    Correct
    Wrong
  • 2
    6 months
    Correct
    Wrong
  • 3
    7 months
    Correct
    Wrong
  • 4
    9 months
    Correct
    Wrong
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Answer : 1. "8 months"
Explanation :

Answer: A) 8 months Explanation: Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000×1242500×x=31  --> x = 8 months.

Q: In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1.  5a2-18a+9=0 2.  3b2+5b-2=0 1479 0

  • 1
    a >= b
    Correct
    Wrong
  • 2
    a <= b
    Correct
    Wrong
  • 3
    a < b
    Correct
    Wrong
  • 4
    a > b
    Correct
    Wrong
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Answer : 4. "a > b"
Explanation :

Answer: D) a > b Explanation: From solving 1 and 2 we get,   1. 5a(a-3)-3(a-3) = 0   (5a-3)(a-3) = 0   a = 3 or 3/5   2.    3b(b+2)-1(b+2) = 0   b = -2 or b = 1/3   Here when a = 3, a > b for b = -2 and b = 1/3   when a = 3/5. a > b for b = -2 and b = 1/3.   Hence, it is clear that a > b.

Q: Can you Solve the Problem ? 1479 0

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Answer :
Explanation :

Let the two digits be x & y From given data in the question, we get x + y = 3(x - y) x + y = 3x - 3y => 2x = 4y x/y = 2/1 For having the 2:1, numbers satisfying are 12, 21, 24, 42, 36, 63, 48, 84 From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares. Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

Q: At present, the ratio between the ages of Arun and Harish is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Harish at present ? 1478 0

  • 1
    15 years
    Correct
    Wrong
  • 2
    16 years
    Correct
    Wrong
  • 3
    18 years
    Correct
    Wrong
  • 4
    21 years
    Correct
    Wrong
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Answer : 1. "15 years"
Explanation :

Answer: A) 15 years Explanation: Let the present ages of Arun and Harish be 4x and 3x years respectively. Then, 4x + 6 = 26 => x = 5 Harish's age = 3x = 15 years.

Q: India’s longest bridge “Dhola-Sadia Bridge” has built over which tributary of the Brahmaputra River ? 1477 0

  • 1
    Kameng River
    Correct
    Wrong
  • 2
    Lohit River
    Correct
    Wrong
  • 3
    Subansiri River
    Correct
    Wrong
  • 4
    Manas River
    Correct
    Wrong
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Answer : 2. "Lohit River"
Explanation :

Answer: B) Lohit River Explanation: The Prime Minister Narendra Modi has inaugurated India’s longest bridge “Dhola-Sadia Bridge” in Assam on May 26, 2017. This three lane, 9.15 kilometre bridge has been built over river Lohit, a tributary of the Brahmaputra river. It links Dhola in Assam to Sadia. The bridge will reduce the distance from Rupai on NH- 37 in Assam to Meka-Roing on NH-52 in Arunachal Pradesh by 165 KM. The travel time between the two places will come down from the current six hours to just one hour, a total five hour reduction. This will result in saving of petrol and diesel worth Rs 10 Lakh per day. It will also cater to the strategic requirements of the country in the border areas of Arunachal Pradesh, besides facilitating numerous hydro power projects coming up in the state.

Q: The world's tallest twisted tower is ? 1477 0

  • 1
    Tokyo Sky Tree
    Correct
    Wrong
  • 2
    BREN Tower
    Correct
    Wrong
  • 3
    Burj Khalifa
    Correct
    Wrong
  • 4
    Infinity Tower
    Correct
    Wrong
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Answer : 4. "Infinity Tower"
Explanation :

Answer: D) Infinity Tower Explanation: The world's tallest twisted tower, the Infinity Tower was launched in Dubai Marina on 10 June 2013.

Q: The Indian Subcontinent was partitioned into 1477 0

  • 1
    India and Tibet
    Correct
    Wrong
  • 2
    Pakistan and Bangladesh
    Correct
    Wrong
  • 3
    India and Bangladesh
    Correct
    Wrong
  • 4
    India and Pakistan
    Correct
    Wrong
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Answer : 4. "India and Pakistan"
Explanation :

Answer: D) India and Pakistan Explanation: The partition of the Indian subcontinent into India and Pakistan after World War-II along the ''Radcliffe line'' following the Indian Independence Act of 1947 was based on religion conflicts.   Pakistan was a Muslim-majority country, while India's population consisted mostly of Hindus. Originally, Pakistan was divided into two regions, East Pakistan and West Pakistan. However, East Pakistan won its independence in 1971, and is now called Bangladesh.

Q: A bus covers its journey at the speed of 80km/hr in 10hours. If the same distance is to be covered in 4 hours, by how much the speed of bus will have to increase ? 1477 0

  • 1
    85 km/hr
    Correct
    Wrong
  • 2
    95 km/hr
    Correct
    Wrong
  • 3
    105 km/hr
    Correct
    Wrong
  • 4
    120 km/hr
    Correct
    Wrong
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Answer : 4. "120 km/hr"
Explanation :

Answer: D) 120 km/hr Explanation: Initial speed = 80km/hrTotal distance = 80 x 10 = 800kmNew speed = 800/4 =200km/hrIncrease in speed = 200 - 80 = 120km/hr

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