Virtusa – 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 1. All Cats are Mammals. 2. Some Mammals can Fly. 3. Cats can Fly. If the first two statements are true, the third statement is
Check Solution
Ans: C
Since the statements only say some mammals can fly, and cats are mammals, we cannot conclude whether or not cats can fly.
Q.2 If we code COMPUTER as ‘COM’ and TABLET as ‘TAB’. What should TELEPHONE be coded as?
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Ans: A
The pattern is taking the first three letters of the word.
Q.3 Rohan cycles 10 km north, then turns left and cycles 20 km. He then turns left again and cycles 10 km. Finally, he turns left and cycles 10 km. How far is he from his starting point?
Check Solution
Ans: C
Rohan cycles 10 km North, then 20 km West, 10 km South, and 10 km East. This forms a rectangle with sides 20 km and 0 km (10 km North – 10 km South = 0 km East/West movement). Therefore, he is 20 km from his starting point.
Q.4 David has more money than Susan. Michael has less money than Kevin. Kevin has more money than David. If the information above is true, which of the following must also be true?
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Ans: B
Kevin > David > Susan and Michael < Kevin. Therefore Michael has less money than Susan.
Q.5 The marks scored by five students in a test are 45, 50, 55, 60, and 65 respectively. Find the average marks of the five students.
Check Solution
Ans: B
Average = (45 + 50 + 55 + 60 + 65) / 5 = 275 / 5 = 55
Q.6 A train travels at a speed of 60 kmph. In 15 minutes, it covers 10% of the total distance. What is the total distance the train needs to cover?
Check Solution
Ans: A
First convert 15 minutes to hours: 15 minutes = 15/60 = 0.25 hours. Distance covered in 0.25 hours = speed * time = 60 kmph * 0.25 h = 15 km. Since 15 km represents 10% of the total distance, the total distance is 15 km / 0.10 = 150 km. The total distance is 150 km / 0.1 = 150. Multiply that by 100 to get 100%. So 15/0.1 = 150km. Multiply by 10 to obtain 1500/10 = 150km, which is incorrect. Using the equation 15km/0.10 is 150km, meaning the total distnance is 150km/0.1 which results in 150. This is incorrect. The correct approach is to understand the problem and apply correct math. The train travels 10% in 15 minutes (0.25 hours). 10% of the total distance is covered in 15 km. We can calculate 100% based off of this info. If 10% = 15km, then 100% (the total) is 15 km * 10 = 150 km. Since our options don’t contain 150 km, let’s try a different approach: 15/60*60/10=15 km, the dist covered. Since 10% of the total dist is 15 km, then the total dist = 15/.1 = 150km
Q.7 10 men can complete a work in 12 days. After 6 days of work, 4 more men joined them. In how many days will the remaining work be completed?
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Ans: A
10 men can do the entire work in 12 days. So, the total work = 10 * 12 = 120 man-days. In 6 days, 10 men completed 10 * 6 = 60 man-days of work. Remaining work = 120 – 60 = 60 man-days. Now, the total number of men = 10 + 4 = 14. Days required to complete the remaining work = 60 / 14 = 30/7 days (approximately 4.28 days). Approximating towards the closest option, but looking at the calculation.
Q.8 A shopkeeper buys a shirt for $40 and marks it up by 50%. He then offers a discount of 10% on the marked price. What is the selling price of the shirt?
Check Solution
Ans: D
Marked price = 40 + (50/100)*40 = $60. Selling price = 60 – (10/100)*60 = $54
Q.9 A retailer offers a “buy two, get one half price” promotion on all t-shirts. If a customer purchases three t-shirts, what is the effective discount percentage?
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Ans: A
Let the price of each t-shirt be $x$. The customer pays for two t-shirts ($2x$) and gets the third for half price ($0.5x$). Total cost is $2x + 0.5x = 2.5x$. The original cost would have been $3x$. Discount = $3x – 2.5x = 0.5x$. Discount percentage = $(0.5x / 3x) * 100 = 16.67%$.
Q.10 A shopkeeper marks the price of a shirt 40% above the cost price. If he offers a discount of 20% on the marked price, what is his profit percentage?
Check Solution
Ans: A
Let the cost price be 100. Marked price = 100 + 40 = 140. Selling price = 140 – (20/100)*140 = 140 – 28 = 112. Profit = 112 – 100 = 12. Profit percentage = (12/100)*100 = 12%
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