 # Sample Aptitude Questions of Tech Mahindra

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DIRECTIONS for the questions 1 to 10: Solve the following question and mark the best possible option
1. Two years ago the average age of a family of 8 members was 18 years. After the addition of a baby, the average age of family remains the same today. What is the age of the baby ?
1. 1 year
2. 2 years
3. 4 years
4. 3.5 years 2. An article when sold at a gain of 5% yields Rs. 15 more than when sold at a loss of 5%. The cost price of the article is:
1. Rs. 200
2. Rs. 150
3. Rs. 80
4. Rs. 64

10/100 × x = 15 ⇒ x=150
As the loss and profit both are earned on the cost price.
3. If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 740 will be:
1. Rs. 300
2. Rs. 200
3. Rs. 240
4. Rs. 350

Z share = Z,
Y = 1.2Z
X = 1.25×1.2Z,
X+Y+Z =740
(1.25× 1.2+1.2+1)Z=740
3.7Z=740, Z=200
1. In a mixture of 35 litres the ratio of milk and water is 4 : 1. If 7 litres of water is added to the mixture, the ratio of milk to water in the resultant mixture will become :
1. 2 : 3
2. 3 : 2
3. 2 : 1
4. 1 : 2

Mixture = 35L, Milk = 4/5 × 35 =28L
Water = 1/5 × 35 =7L
New 28/7+7 = M/W
⇒ 28/14 = M/W =2/1
2. What will be the income tax payable by a person getting a taxable income of Rs. 30,000 during the year if the first Rs. 18000 is not taxable and the tax rates are 25% of the next Rs. 12000 ?
1. Rs. 3000
2. Rs. 3250
3. Rs. 3500
4. Rs. 3750

T.I.=30,000, N.T.I.=18000
Taxable 12000, Income Tax = 25% of Taxable Income
= 1/4 ×: 12000 = RS.3000
3. 10 men can finish a piece of work in 10 days whereas it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work, how many days will they take to complete the work?
1. 2
2. 4
3. 5
4. 11

10 men = 10 days, 1 men 1 day = 1/100 work
12 women = 12 days, 1 women 1 day = 1/120
15 men + 6 women, 15 × 1/100 + 6 × 1/120
3/20 +1/20= 4/20 =1/5 work= 5 days
4. A merchant marks his wares 40% more than the real price and allows 20% discount. His profit is:
1. 20%
2. 18%
3. 16%
4. 12%

Let the CP = 100 Rs.
Mark Price = 140
Discount = 20%
Selling price 80/100 × 140 = 112
Hence profit = 12%
5. A train 280 metres long is moving at 60 kms per hour. The time taken by the train to cross a platform 220 metres long is:
1. 20 seconds
2. 25 seconds
3. 30 seconds
4. 35 seconds 6. A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
1. 4000
2. 6000
3. 8000
4. 10000