Paytm – Aptitude Questions & Answers for Placement Tests
Reviewing Previous Year Questions is a good start. Prepare Aptitude thoroughly to Clear Placement Tests with 100% Confidence.
Q.1 What is the next number in the sequence: 2, 6, 12, 20, ?
Check Solution
Ans: B
The pattern is adding consecutive even numbers: 2+4=6, 6+6=12, 12+8=20, so 20+10=30
Q.2 (125 + 275 – ?) = 350
Check Solution
Ans: B
125 + 275 = 400. 400 – 350 = 50
Q.3 A train travels at a speed of 60 km/hr and crosses a pole in 30 seconds. What is the length of the train in meters?
Check Solution
Ans: B
First, convert the speed from km/hr to m/s: 60 km/hr = 60 * (5/18) m/s = 50/3 m/s. Distance = Speed * Time. Therefore, length of the train = (50/3) * 30 = 500 meters.
Q.4 A train travels at a speed of 60 km/hr. If the length of the train is 200 meters, how long will it take to cross a bridge that is 100 meters long?
Check Solution
Ans: B
Total distance = length of train + length of bridge = 200 + 100 = 300 meters. Speed = 60 km/hr = 60 * (5/18) m/s = 50/3 m/s. Time = Distance/Speed = 300 / (50/3) = 300 * 3 / 50 = 18 seconds.
Q.5 A train 150 meters long crosses a platform in 15 seconds. If the speed of the train is 48 km/hr, what is the length of the platform?
Check Solution
Ans: B
First, convert the speed from km/hr to m/s: 48 km/hr = 48 * (5/18) = 40/3 m/s. The distance covered by the train in 15 seconds is: (40/3) * 15 = 200 meters. This distance is equal to the sum of the length of the train and the length of the platform. Therefore, the length of the platform is 200 – 150 = 50 meters.
Q.6 Find the missing number in the sequence: 7, 14, 28, 56, ?
Check Solution
Ans: B
Each number is double the previous number. 56 * 2 = 112
Q.7 Working at the same constant pace, 8 identical printers can print a total of 480 pages in 12 minutes. At this rate, how many pages could 5 such printers print in 15 minutes?
Check Solution
Ans: B
First find the rate of one printer: 480 pages / (8 printers * 12 minutes) = 5 pages/printer/minute. Then calculate the total pages: 5 printers * 15 minutes * 5 pages/printer/minute = 375 pages.
Q.8 Ten years ago, the ratio of the ages of Amit and Bimal was 3 : 2. Fifteen years hence, the ratio of their ages will be 9 : 8. What is Amit’s present age?
Check Solution
Ans: C
Let Amit’s age 10 years ago be 3x and Bimal’s age be 2x. Then, Amit’s present age is 3x + 10 and Bimal’s present age is 2x + 10. In 15 years, Amit’s age will be 3x + 10 + 15 = 3x + 25 and Bimal’s age will be 2x + 10 + 15 = 2x + 25. Therefore, (3x + 25) / (2x + 25) = 9/8. Cross-multiplying gives 24x + 200 = 18x + 225. So, 6x = 25, and x = 25/6. Amit’s age 10 years ago was 3 * (25/6) = 12.5 years. Amit’s present age = 12.5 + 10 = 22.5. However, let’s rework this. 10 years ago: A/B = 3/2. Present: A=3x+10, B=2x+10. 15 years from now: A+15 = 3x+25, B+15=2x+25. So (3x+25)/(2x+25) = 9/8. 24x + 200 = 18x + 225. 6x = 25. Wrong Logic. Again: 10 yrs ago: A/B = 3/2. 15 yrs from now: A/B = 9/8. Let present ages be A and B. A-10/B-10 = 3/2 or 2A-20=3B-30 or 2A-3B=-10. Also A+15/B+15 = 9/8 or 8A+120=9B+135 or 8A-9B=15. Multiplying the first equation by 3 gives 6A-9B=-30. Subtracting this equation from 8A-9B=15, gives 2A = 45. So A = 22.5 is still wrong. Re-doing: A-10 = 3x, B-10 = 2x. A = 3x+10. B=2x+10. (3x+10+15)/(2x+10+15) = 9/8. (3x+25)/(2x+25) = 9/8. 24x+200=18x+225. 6x=25. Wrong again. Let’s say, A-10 = 3x, B-10=2x. A=3x+10, B=2x+10. (A+15)/(B+15) = 9/8 or (3x+25)/(2x+25) = 9/8. 24x+200=18x+225. 6x=25. A=3*25/6+10. Let A’s age now be a and B’s now be b. (a-10)/(b-10) = 3/2, 2a-20 = 3b-30. 2a-3b=-10. (a+15)/(b+15)=9/8. 8a+120 = 9b+135. 8a-9b=15. Multiplying 2a-3b=-10 by 3, gives 6a-9b = -30. Subtracting this from 8a-9b=15, 2a=45, a=22.5 or wrong. 2a – 3b = -10 and 8a – 9b = 15. Multiply first one by -3. -6a + 9b = 30. Add this to 8a – 9b = 15. 2a = 45. a = 22.5 is still wrong. Final Attempt. 10 years ago A:B = 3:2. Therefore A – 10 = 3x, B – 10 = 2x. So A = 3x + 10, B = 2x + 10. 15 yrs hence A+15: B+15 = 9:8. So (3x+10+15)/(2x+10+15) = 9/8. (3x+25)/(2x+25)=9/8. 24x+200=18x+225. 6x=25. X = 25/6, thus A is 3(25/6)+10 which is not one of the options. (A-10)/(B-10) = 3/2 (A+15)/(B+15)=9/8. 8A+120 = 9B+135 or 8A-9B = 15. 2A – 3B = -10. Multiply first by 3. Then subtract, 2A = 45, and A = 45/2. Still no option.
Q.9 A number A is 80 less than a number B. If the difference between B and A is 4 times A, what is the value of A?
Check Solution
Ans: A
B = A + 80. B – A = 4A. Substituting, (A + 80) – A = 4A, which simplifies to 80 = 4A. Therefore, A = 20.
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