CAT Practice Question and Answer
8Q: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ? 2750 05b5cc71ee4d2b4197774f57c
5b5cc71ee4d2b4197774f57c- 14/3 hrsfalse
- 22/3 hrstrue
- 33/2 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "2/3 hrs"
Explanation :
Answer: B) 2/3 hrs Explanation: Let the original speed and time is S and Tthen distance = S x TNow the speed changes to 2/3S and T is T+20As the distance is sameS x T = 2/3Sx(T+20)solving this we get t = 40 minutes =40/60 = 2/3 hour
Q: On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ? 1599 05b5cc71ee4d2b4197774f577
5b5cc71ee4d2b4197774f577- 144false
- 246false
- 348true
- 449false
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Answer : 3. "48"
Explanation :
Answer: C) 48 Explanation: No. of students will be 98 x 12 = 1176let us consider n circles then 1 + 2 + 3 + ....+ n = 1176n(n+1)/2 = 1176n = 48 circles.
Q: In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ? 2747 05b5cc71ee4d2b4197774f572
5b5cc71ee4d2b4197774f572- 148true
- 241false
- 345false
- 443false
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Answer : 1. "48"
Explanation :
Answer: A) 48 Explanation: 3X + 4y = 240by substitute through options 48 is correct
Q: Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ? 1141 05b5cc71ee4d2b4197774f56d
5b5cc71ee4d2b4197774f56d- 1991/16 %false
- 2900/19 %true
- 3874/13 %false
- 4719/17 %false
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Answer : 2. "900/19 %"
Explanation :
Answer: B) 900/19 % Explanation: First ten odd numbers form an arithmetic progression of the form1,3,5,7,9......here a = first term = 1d = common difference = 2Average of first n numbers = (2a + (n - 1)d)/2n th term of the AP = a + (n - 1)dSubstituting a = 1, d = 2 and n = 10 in the above formulas average of first 10 numbers = 1010 th term of the AP = 19Therefore average of first 10 terms is 19 - 10 = 9 greater thanthe last term. Hence the average is greater than the sum by9/19 X 100 = 900/19 %
Q: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ? 1431 05b5cc71ee4d2b4197774f568
5b5cc71ee4d2b4197774f568- 176%false
- 272%false
- 380%true
- 482%false
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Answer : 3. "80%"
Explanation :
Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr = 10 => so r = 5πvolume = π×5π2×8 = 200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.
Q: Who has become the first person to cross the Atlantic Ocean on standup paddle ? 1250 15b5cc71be4d2b4197774f563
5b5cc71be4d2b4197774f563- 1Jack Albertafalse
- 2Henary Christpherfalse
- 3Christopher Bernardfalse
- 4Chris Bertishtrue
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Answer : 4. "Chris Bertish"
Explanation :
Answer: D) Chris Bertish Explanation: South African Chris Bertish has become the first person to cross the Atlantic Ocean on standup paddle. He made the epic 4,050-mile voyage alone at sea aboard his custom-built craft.
Q: Swetha when get married to Sudeer her age was 3/4 th of her husband's age. After 12 years her age became 5/6 th of her husband's age. Then what's the age of Swetha when she got married ? 1251 05b5cc71be4d2b4197774f55e
5b5cc71be4d2b4197774f55e- 118 yearstrue
- 221 yearsfalse
- 323 yearsfalse
- 417 yearsfalse
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Answer : 1. "18 years"
Explanation :
Answer: A) 18 years Explanation: At the time of marriage, let Sudeer's age be 4x, then Swetha's age is 3x12 years after:Age of Sudeer = 4x+12Age of Swetha = 3x+12Now the equation is 3x+12=5/6(4x+12)Solving equation we get x=6Hence Swetha got married at the age of 18.
Q: 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 ? 1616 05b5cc71be4d2b4197774f559
5b5cc71be4d2b4197774f559- 125 yearstrue
- 224 yearsfalse
- 323 yearsfalse
- 422 yearsfalse
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Answer : 1. "25 years"
Explanation :
Answer: A) 25 years Explanation: Let varun's age = x yrs. From the given conditions, x+1 = 2(x-12) x = 25 years.