CAT Practice Question and Answer
8Q: 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 05b5cc767e4d2b4197774fe2c
5b5cc767e4d2b4197774fe2c- 18 monthstrue
- 26 monthsfalse
- 37 monthsfalse
- 49 monthsfalse
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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 05b5cc6cae4d2b4197774e09f
5b5cc6cae4d2b4197774e09f- 1a >= bfalse
- 2a <= bfalse
- 3a < bfalse
- 4a > btrue
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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 05b5cc6cfe4d2b4197774e337
5b5cc6cfe4d2b4197774e337- Show AnswerHide Answer
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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 05b5cc6e1e4d2b4197774ebfc
5b5cc6e1e4d2b4197774ebfc- 115 yearstrue
- 216 yearsfalse
- 318 yearsfalse
- 421 yearsfalse
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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 05b5cc6dbe4d2b4197774e92d
5b5cc6dbe4d2b4197774e92d- 1Kameng Riverfalse
- 2Lohit Rivertrue
- 3Subansiri Riverfalse
- 4Manas Riverfalse
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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 05b5cc6f8e4d2b4197774f04a
5b5cc6f8e4d2b4197774f04a- 1Tokyo Sky Treefalse
- 2BREN Towerfalse
- 3Burj Khalifafalse
- 4Infinity Towertrue
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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 05b5cc6b7e4d2b4197774d5f7
5b5cc6b7e4d2b4197774d5f7- 1India and Tibetfalse
- 2Pakistan and Bangladeshfalse
- 3India and Bangladeshfalse
- 4India and Pakistantrue
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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 05b5cc6cfe4d2b4197774e2dc
5b5cc6cfe4d2b4197774e2dc- 185 km/hrfalse
- 295 km/hrfalse
- 3105 km/hrfalse
- 4120 km/hrtrue
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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

