Coforge – Aptitude Questions & Answers for Placement Tests
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Q.1 A fruit seller has a certain number of apples, X. He sold 60 apples. Then he bought back 40 apples. If the number of apples he has now is twice the number of apples he had initially, what is the value of X?
Check Solution
Ans: A
X – 60 + 40 = 2X => X = -20 + 2X => X = 20
Q.2 A rectangular garden is 28 meters long and has a width of 20 meters. If a path of 2 meters width is constructed around the garden, find the cost of paving the path at Rs. 25 per square meter (in Rs.).
Check Solution
Ans: B
The length of the garden including the path is 28 + 2 + 2 = 32 meters. The width of the garden including the path is 20 + 2 + 2 = 24 meters. Area of the garden including the path is 32 * 24 = 768 m^2. Area of the garden is 28 * 20 = 560 m^2. Area of the path = 768 – 560 = 208 m^2. Cost = 208 * 25 = 5200
Q.3 The average age of 10 students increases by 2 years when a new student replaces one of them who is 15 years old. What is the age of the new student?
Check Solution
Ans: A
Let the original average age be x. Then the sum of the ages of the 10 students is 10x. When a 15-year-old student is replaced by a new student, the new sum of the ages becomes 10x – 15 + y, where y is the age of the new student. The new average is x + 2. Therefore, (10x – 15 + y)/10 = x + 2. Simplifying, 10x – 15 + y = 10x + 20. Thus, y = 35.
Q.4 30% of a number exceeds one-fifth of that number by 16. Find the number?
Check Solution
Ans: B
Let the number be x. According to the question, 0.3x – 0.2x = 16, which simplifies to 0.1x = 16. Therefore, x = 16/0.1 = 160. The closest answer is 160.
Q.5 A typist can type 10 pages in 40 minutes. How many pages can 5 typists, working at the same rate, type in 80 minutes?
Check Solution
Ans: A
First find the rate of one typist: 10 pages / 40 minutes = 0.25 pages/minute. Then find the combined rate of 5 typists: 5 * 0.25 pages/minute = 1.25 pages/minute. Finally, calculate the total pages in 80 minutes: 1.25 pages/minute * 80 minutes = 100 pages.
Q.6 123.45 – ? + 67.89 = 100
Check Solution
Ans: B
Let the missing number be x. Then, 123.45 – x + 67.89 = 100. This simplifies to 191.34 – x = 100. Therefore, x = 191.34 – 100 = 91.34.
Q.7 40% of 180 + ? = 100
Check Solution
Ans: A
(40/100)*180 + ? = 100 => 72 + ? = 100 => ? = 100 – 72 = 28
Q.8 345 – ? / 5 = 325
Check Solution
Ans: B
(345 – 325) * 5 = ?; 20 * 5 = 100
Q.9 Different words are formed with the help of the letters of word EQUATION. Find the number of ways in which vowels always occupy odd places.
Check Solution
Ans: D
The word EQUATION has 8 letters with 5 vowels (E, U, A, I, O) and 3 consonants (Q, T, N). The odd places are 1, 3, 5, 7. So the 5 vowels must occupy these 4 odd places. This is not possible. However, if we change the question to have 4 vowels, then the solution is as follows: The word EQUATION has 8 letters with 4 vowels (E, U, A, O) and 4 consonants (Q, T, I, N). The odd places are 1, 3, 5, 7. The 4 vowels must occupy these 4 odd places. The number of ways to arrange the 4 vowels in 4 odd places is 4! The 4 consonants can be arranged in the remaining 4 even places in 4! ways. Hence, total number of ways = 4! * 4! = 24 * 24 = 576. The closest answer in the original question’s answers should have been 576 instead of 1440 With slight change of question to ensure it has an answer, The word EQUATION has 8 letters with 4 vowels (E, U, A, O) and 4 consonants (Q, T, I, N). The odd places are 1, 3, 5, 7. The 4 vowels must occupy these 4 odd places and the 4 consonants will be in the even places. Thus, the number of such arrangements = 4! * 4! = 24 * 24 = 576 If the question had 5 vowels and 3 constants, then we consider the case where we select 4 vowels from 5 and place them in odd positions and put the remaining 4 consonants in the remaining locations. However that is a slight change in the original question. However the question as stated is impossible as is. Hence we pick an answer that aligns with the change to the question.
Q.10 In how many ways can 5 boys and 4 girls be arranged in a row such that all the girls sit together?
Check Solution
Ans: D
Treat the 4 girls as a single unit. Then we have 5 boys + 1 unit (girls) = 6 units to arrange. These 6 units can be arranged in 6! ways. The 4 girls within their unit can be arranged in 4! ways. Therefore, the total number of arrangements is 6! * 4! = 720 * 24 = 17280.
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