CAT Practice Question and Answer
8Q: What is the missing number in 5, 14, 42, 107, 233, ? 3142 05b5cc636e4d2b4197774ba09
5b5cc636e4d2b4197774ba09- 1316false
- 2384false
- 3450true
- 4479false
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Answer : 3. "450"
Explanation :
Answer: C) 450 Explanation: Given Series is 5, 14, 42, 107, 233, _? 5, 14, 42, 107, 233, _? Differences is 9, 28, 65, 126 9 = 2^3 + 1 28 = 3^3 + 1 65 = 4^3 + 1 126 = 5^3 + 1 Now, next difference must be 6^3 + 1 = 217 Hence, next number in the given series = 233 + 217 = 450.
Q: What is 90 days from today? Hints : Today is 20th January 2017, Sunday 3141 05b5cc6b5e4d2b4197774d516
5b5cc6b5e4d2b4197774d516- 118th April, Fridayfalse
- 220th April, Saturdaytrue
- 321th April, Sundayfalse
- 419th April, Saturdayfalse
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Answer : 2. "20th April, Saturday"
Explanation :
Answer: B) 20th April, Saturday Explanation: Given Today is 20th January 2017, Sunday In january, we have 31 days February - 28 days (Non leap year) March - 31 days April - 30 days => Remaining days => 31 - 20 = 11 in Jan + 28 in Feb + 31 in Mar = 11 + 28 + 31 = 70 days More 20 days to complete 90 days => upto 20th April Therefore, after 90 days from today i.e, 20th Jan 2017 is 20th Apr 2017. Now, the day of the week will be 90/7 => Remainder '6' As the day starts with '0' on sunday 6 => Saturday. Required day is 20th April, Saturday.
Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in ? 3141 05b5cc728e4d2b4197774f714
5b5cc728e4d2b4197774f714- 117 + 4/7 daysfalse
- 213 + 1/3 daystrue
- 315 + 3/2 daysfalse
- 416 daysfalse
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Answer : 2. "13 + 1/3 days"
Explanation :
Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.
Q: Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ? 3141 05b5cc73ae4d2b4197774f8c9
5b5cc73ae4d2b4197774f8c9- 1193 : 122true
- 297 : 102false
- 3115 : 201false
- 4147 : 185false
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Answer : 1. "193 : 122"
Explanation :
Answer: A) 193 : 122 Explanation: Given the three mixtures ratio as (1:2),(2:3),(3:4) (1+2),(2+3),(3+4) Total content = 3,5,7 Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105 105/3 = 35 , 105/5 = 21 , 105/7 = 15 Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4) i.e (35,70), (42,63), (45,60) So overall mixture ratio of milk and water is 35+42+45 : 70+63+60 122:193 But in the question asked the ratio of water to milk = 193 : 122
Q: If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number? 3139 05b5cc6bde4d2b4197774d947
5b5cc6bde4d2b4197774d947- 15.65false
- 22.7false
- 33.5true
- 46.66false
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Answer : 3. "3.5"
Explanation :
Answer: C) 3.5 Explanation: Let the number is = x (89)2 + x2 = 16202 x2 = 8281 x = 91 => (1/26) of 91 = 3.5
Q: Mother’s age today is thrice as her daughter’s. After 10 years it would be just double. How old is the daughter today ? 3138 05b5cc75ee4d2b4197774fcde
5b5cc75ee4d2b4197774fcde- 18 yearsfalse
- 29 yearsfalse
- 310 yearstrue
- 411 yearsfalse
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Answer : 3. "10 years"
Explanation :
Answer: C) 10 years Explanation: Let the age of the daughter today be ‘x’ years. Mother’s age today = 3x years After 10 years, we have 3x + 10 = 2(x + 10) x = 10 years.
Q: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race ? 3131 05b5cc754e4d2b4197774fb77
5b5cc754e4d2b4197774fb77- 13 timestrue
- 24 timesfalse
- 35 timesfalse
- 42 timesfalse
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Answer : 1. "3 times"
Explanation :
Answer: A) 3 times Explanation: Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other. So totally they met 3 times in opposite direction.
Q: Sugar Bowl of the World? 3129 05b5cc6aee4d2b4197774d174
5b5cc6aee4d2b4197774d174- 1Cubafalse
- 2Braziltrue
- 3Indiafalse
- 4Australiafalse
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Answer : 2. "Brazil"
Explanation :
Answer: B) Brazil Explanation: "Cuba" is the name of the country which was commonly known as the "Sugar Bowl of the World". It is called by this name because formerly it was the largest producer of Sugar, but now Brazil is currently the largest producer of Sugar. It is an island country in the Caribbean and is officially called as the Republic of Cuba.