Tech Mahindra Placement Paper
Tech Mahindra Aptitude Test
1. Present ages of Sameer and Anand are in the ratio of 5: 4 respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Anand's present age in years?
A. 33 years
B. 24 years
C. 11 years
D. 30 years
Given, the preset ratio of the ages of Sameer and Anand is 5:4
Let Age of Sameer/5 = Age of Anand/4 = x.
Present age of Sameer = 5x
Present age of Anand = 4x
After 3 years,
Age of Sameer would be 5x+3
Age of Anand would be 4x+3
So, (5x + 3)/(4x + 3) = 11/9.
=> x = 6.
Hence age of Anand will be 24 years.
2. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
A. 12 years
B. 20 years
C. 14 years
D. 6 years
Let the present age of father and son be x & y respectively.
=> x + y = 60
Six years ago, father's age was five times the age of the son.
=> x - 6 = 5(y - 6)
=> x - 6 = 5y - 30
=>x - 5y = -24
Putting x = 60 - y
=> 60 - y - 5y = -24
=> 60 - 6y = -24
=> 60+24 = 6y
=> 84 = 6y
=> y = 14
=> y = 14
Hence, after 6 years’ sons age will be 20 years.
3. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
Increase in 10 years = (262500 - 175000) = 87500.
Increase% = [87500/175000 x 100 %] = 50%.
Required average = (50/10) % = 5%.
4. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A. Rs. 15
B. Rs. 15.70
C. Rs. 19.70
D. Rs. 20
Let the amount taxable purchases be Rs. x.
Then, 6% of x = 30 / 100.
=> x = 30/ 100 x 100/6 = 5.
Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70.
5. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
A. No profit, no loss
E. None of these
C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.
SP of 56 kg rice = (56 * 30) Rs. = 1680 Rs.
Profit % = (1680−1600/1600) ∗100% = 5%.
6. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
C.P. of 6 articles = Rs. 5.
=> C.P. of 1 article = Rs. 5/6.
SP of 5 articles = Rs. 6.
=> S.P. of 1 article = Rs. 6/5.
Profit earned per article = 6/5 - 5/6 = 11/30.
% Profit = 11/30 ∗ 6/5 ∗ 100% = 44%.
7. What was the day of the week on 17th June, 1998?
17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = (5 x 3) = 1.
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years (24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March April May June
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.
8. Today is Monday. After 61 days, it will be:
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
9. Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’ share is:
Let C = a.
Then, B = 4a
and 2A = 3 x 4a = 12a.
or A = 6a.
=> A: B: C = 6a: 4a: a = 6: 4: 1.
So, B’s capital = Rs. [16500 x 4/11]
= Rs. 6000.
10. A and B entered into a partnership investing Rs.16000 and Rs.12000 respectively. After 3 months, A withdrew Rs.5000 while B invested Rs.5000 more. After 3 more months C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400
after one year, by:
Ratio of their investments = A: B:C = Rs. (16000×3 + 11000×9: 12000×3 + 17000×9 + 21000×6) = 7:9:6.
So, (B's share) -(C's share)
=> [(26400× (9/22)) −(26400× (6/22))]
=> (10800-7200) =Rs.3600.
11. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr. and the time of flight increased by 30 minutes. The duration of the flight is:
A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours
Let the duration of the flight be x hours.
Then, 600/x - 600/ (x + 1/2) = 200.
=> 600/x - 1200/(2x+1) = 200.
=> x (2x + 1) = 3
=> 2x^2 + x - 3 = 0.
=> 2x + 3) (x - 1) = 0
=> x = 1 hr. [neglecting the -ve value of x]
12. The ratio between the speeds of two trains is 7: 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A. 70 km/hr.
B. 75 km/hr.
C. 84 km/hr.
D. 87.5 km/hr.
Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = 400/4 = 100
=> x = 100/8 = 12.5.
So, the speed of first train = (7 x 12.5) km/hr. = 87.5 km/hr.
13. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
(A + B)'s 20 day's work = (1/30 x 20) = 2/3.
Remaining work = (1 - 2/3) = 1/3
Now, 1/3 work is done by A in 20 days.
Therefore, the whole work will be done by A in (20 x 3) = 60 days.
14. Seats for Mathematics, Physics and Biology in a school are in the ratio 5: 7: 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
A. 2: 3: 4
B. 6: 7: 8
C. 6: 8: 9
D. None of these
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
=> (140/100) x 5x, (150/100) x 7x and (175/100) x 8x.
The required ratio = 7x: 21x/2: 14x.
=> 14x: 21x: 28x
=> 2: 3: 4.
15. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
Let the sum be Rs. P.
Then, P (1 + 10/100) *(1 + 10/100) - P = 525
P [ (11/10) *(11/10) - 1] = 525
P = (525 x 100)/21 = 2500.
Sum = Rs. 2500.
So, S.I. = Rs. (2500 x 5 x 4)/100 = Rs. 500.
Tech Mahindra Logical Reasoning Test
16. Pick the odd man out
2, 5, 10, 17, 26, 37, 50, 64
(1*1) +1, (2*2) +1, (3*3) +1, (4*4) +1, (5*5) +1, (6*6) +1, (7*7) +1, (8*8) +1
But, 64 is out of pattern.
17. Pick the odd man out:
16, 25, 36, 72, 144, 196, 225
Each of the numbers except 72 is a perfect square.
18. Introducing Sonia, Aamir says, "She is the wife of only nephew of only brother of my mother." How Sonia is related to Aamir?
D. Data is inadequate
Brother of mother means maternal uncle. Hence only nephew of Aamir's maternal uncle means Aamir himself. Therefore, Sonia is the wife of Aamir.
19. Pointing to a person, Deepak said, "His only brother is the father of my daughter's father". How is the person related to Deepak?
Father of Deepak's daughter's father → Deepak's father.
Hence, the person in the brother of Deepak's father.
Therefore, the person is the uncle of Deepak.
20. In the series 3, 9, 15, ...... what will be the 21st term?
Clearly, 3 + 6 = 9, 9 + 6 = 15......
So, the series is an A.P. in which a = 3 and d = 6.
Therefore 21st term = a + (21 - 1) d = a + 20d = 3 + 20 x 6 = 123.
21. Find the next number of the series:
1, 5, 14, 30, 55, 91, ?
The pattern is + 4, + 9, + 16, + 25, + 36, ...... i.e. + 2^2, + 3^2, + 4^2, + 5^2, + 6^2......
So, missing term = 91 + 7^2 = 91 + 49 = 140.
22. If in a certain language KINDLE is coded as ELDNIK, how is EXOTIC coded in that code?
D. COXITEE. CXOTIE
The letters of the word are written in a reverse order to obtain the code.
23. In a certain code 'INACTIVE' is written as VITCANIE. How is 'COMPUTER' written in that code?
There are 8 letters in the word.
In the given code the fourth and the eighth letters from left have been left intact.
The first letter exchanges position with the seventh letter, the second letter with
the sixth letter and the third with the fifth letter.
24. In a certain code LEARNING is written as LGNINRAE. How will SURPRISE be written in that code?
There are 8 letters in word.
The first letter of the word has been left intact.
The order of remaining letters has been reversed.
Cassock: Priest :: ? : Graduate
A Priest wears cassock while Graduate wears gown.
Tech Mahindra Verbal Ability Test
26. By the time he gets back from his foreign vacation, the company has appointed another person.
A. By the time
B. he gets back
C. from his foreign vacation
D. the company has appointed
E. No error
It should be: the company will have appointed. We use the future perfect tense to suggest that something will have been done by a certain time in the future.
27. Not only they need clothing, but they are also short of food and water.
A. Not only they need
C. but they are also
D. short of food and water
E. No error
It should be ‘not only do they need’. When a negative expression goes at the beginning of a sentence, it should be followed by auxiliary verb + subject.
In this case, the sentence should read: Not only do they need clothing, but they are also short of food and water.
28. He is not only involved in conducting adult literacy programs but also in organizing workshops for the unemployed.
A. he is not only involved in conducting
B. adult literacy programs
C. but also in organizing
D. for the unemployed
E. No error
It should be ‘he is involved not only in conducting’. When we use a correlative conjunction like not only … but also…, the same kind of words should follow both parts. So, for example, if ‘not only’ is followed by a verb, ‘but also’, too, should be followed by a verb.
In this case, ‘not only’ is followed by a verb, and ‘but also’ is followed by a preposition. It is not possible.
The sentence should read: He is involved not only in conducting adult literacy programs, but also in organizing workshop for the unemployed.
29. Even a ________ glance will reveal the mystery.
E. None of these
30. Find the error:
If it weren’t for the children, we haven’t had anything to talk about.
A. If it weren’t
B. for the children
C. we haven’t had
D. anything to talk about
E. No error
It should be ‘we wouldn’t have’. When the verb in the if-clause is in the past simple tense, we use would + infinitive in the main clause.
31. Find the error:
If I would have realized he was in trouble, I would have done something to bail him out.
A. If I would have realized
B. he was in trouble
C. I would have done
D. to bail him out
E. No error
This part should be ‘if I had realized’. To talk about an imaginary situation in the past, we use a past perfect tense in the if-clause and would have + past participle in the main clause.
32. Find the error:
Due to some unavoidable circumstances, the meeting was postponed indefinite, but the members could not be informed.
A. due to some unavoidable circumstances
B. the meeting was postponed
D. the members could not be informed
E. No error
It should be ‘indefinitely’. Indefinite is an adjective, but we require an adverb here.
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