CAT Practice Question and Answer
8Q: Who became the fastest bowler to get to 250 wickets in the test matches ? 1613 05b5cc74fe4d2b4197774fb08
5b5cc74fe4d2b4197774fb08- 1K. Rabadafalse
- 2R. Ashwintrue
- 3T G Southeefalse
- 4Jadejafalse
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Answer : 2. "R. Ashwin"
Explanation :
Answer: B) R. Ashwin Explanation: Indian Cricket team off-spin specialist Ravichandran Ashwin has become the fastest cricketer to take 250 wickets in the Test matches. Ashwin surpassed Australian fast bowler Dennis Keith Lillee to reach the milestone of 250 Test wicket. Thus Ravichandran Ashwin has become the sixth Indian bowler to reach 250 test wickets.
Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ? 1542 05b5cc74fe4d2b4197774fafe
5b5cc74fe4d2b4197774fafe- 14false
- 21false
- 35true
- 43false
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Answer : 3. "5"
Explanation :
Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1) But (3x + 2)(2x - 5) = 6x2-11x-10........(2) so by comparing (1) & (2), we get a= 6, k= -11 , n= -10 (a - n + k) = 6 + 10 - 11 = 5.
Q: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? 1278 05b5cc74fe4d2b4197774faf4
5b5cc74fe4d2b4197774faf4- 125 mtrue
- 221 mfalse
- 322 mfalse
- 419 mfalse
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Answer : 1. "25 m"
Explanation :
Answer: A) 25 m Explanation: A:B = 200 : 169A:C = 200 : 182 CB = CA×AB 182200×200169 => 182:169 When C covers 182 m , B Covers 169 mWhen C covers 350 m , B Covers 169182×350=> 325 m So C beats B by (350 - 325) = 25 m.
Q: Fill in the blank with an appropriate word from the following options. Usually the room tariff in this hotel is higher. At present, it is low because of the------- season. 1726 05b5cc74fe4d2b4197774faf9
5b5cc74fe4d2b4197774faf9- 1Peakfalse
- 2Offtrue
- 3Downfalse
- 4Slowfalse
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Answer : 2. "Off"
Explanation :
Answer: B) Off Explanation: Season can be either at peak or off.Presently it is low, that is because of OFF season.
Q: An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ? 3754 05b5cc74fe4d2b4197774faea
5b5cc74fe4d2b4197774faea- 11124false
- 21420false
- 31345false
- 41250true
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Answer : 4. "1250"
Explanation :
Answer: D) 1250 Explanation: Let initially 'X' ticket has been sold.So now in 2nd week 20% increases, so=> X x 120/100In 3rd week 16% increases, so=> X x (120/100) x (116/100)In 4th week 20% decrease, so=> X x (120/100) x (116/100) x (80/100) = 1392X = 1250.
Q: 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ? 1064 05b5cc74fe4d2b4197774faef
5b5cc74fe4d2b4197774faef- 132.1 kmfalse
- 215.23 kmfalse
- 33.75 kmtrue
- 432.1 mfalse
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Answer : 3. "3.75 km"
Explanation :
Answer: C) 3.75 km Explanation: Let 'd' be the distance between A and BK -time = d/10 + d/9 = 19d/90 hoursL -time = 2d/12 = d/6 hoursWe know that, 10 min = 1/6 hoursThus, time difference between K and L is given as 10 minutes. => 19d/90 - d/6 = 1/6=> (19d-15d)/90 = 1/6=> 4d/90 = 1/6Thus,d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km.
Q: The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ? 2248 05b5cc74fe4d2b4197774fae5
5b5cc74fe4d2b4197774fae5- 16 mltrue
- 211 mlfalse
- 315 mlfalse
- 49 mlfalse
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Answer : 1. "6 ml"
Explanation :
Answer: A) 6 ml Explanation: Let us assume that the lotion has 50% alcohol and 50% water.ratio = 1:1As the total solution is 9mlalcohol = water = 4.5mlNow if we want the quantity of alcohol = 30%The quantity of water = 70%The new ratio = 3:7Let x ml of water be addedWe get,4.54.5+x = 37=> x=6Hence 6ml of water is added.
Q: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 20kmph and Prasanna moves southward at a speed of 30 kmph. How far will be Prasanna from Laxmi after 60 minutes ? 1293 05b5cc74fe4d2b4197774fae0
5b5cc74fe4d2b4197774fae0- 124 kmfalse
- 250 kmtrue
- 342 kmfalse
- 430 kmfalse
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Answer : 2. "50 km"
Explanation :
Answer: B) 50 km Explanation: We know 60 min = 1 hrTotal northward Laxmi's distance = 20kmph x 1hr = 20 kmTotal southward Prasanna's distance = 30kmph x 1hr = 30 kmTotal distance between Prasanna and Laxmi is = 20 + 30 = 50 km.