# Placement Questions & Answers :: Syntel Inc.

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11. How many prime factors are there in the expression (6)23 x (4)10 x (5)10 ?

**Answer:**** Option D **

**Explanation:**

(6)23 x (4)10 x (5)10

2*3*23*2*2*2*5*5*2*5

=> 2^5 * 3^1 * 5^3

=> 5+1+3 = 9

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12. As per scheme a car loan of Rs. 4 lakh at 12.5 p.c.p. rate of simple interest can be borrowed on a repayment term of lump sum amount at the end of 3 years.

As per scheme (b), the amount can be repaid at the end of 2 years, but compound interest (compounded annually) would be charged at the same rate. What would be the difference in amount of interest between the two schemes?

**Answer:**** Option B **

**Explanation:**

Scheme ,

p=400000

r=12.5%

n=3

SI = 400000*3*12.5/100

SI = 150000

Total Sum = 550000

Scheme (b)

Amount = 400000[1 + 12.5/100]^2

=> 400000*[9/8 * 9/8]

Amount = 506250

Difference is 550000 - 506250 = Rs. 43750

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13. A stock of rice is enough for 100 men for 60 days. How long will the same stocks of rice last for 500 men:

**Answer:**** Option E **

**Explanation:**

Men Days

----------------------

100 (u) 60 (d)

500 x

100/500 = x/60

=> x = (100/500) * 60 = 12 days.

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14. Two pipes A and B can fill a tank in 4 hours and 5 hours respectively. If they are turned up alternatively for one hour each,then time taken to fill the tank is:

**Answer:**** Option B **

**Explanation:**

L.C.M of 4hr and 5hr will be 20units. (tank size)

Given. pipe A and B fill a tank in 4 hrs and 5 hrs res.

So, A can fill 5u in 1hr and B can fill 4u in 1hr.

(5u+4u)+(5u+4u)=18u in 4hr (alternatively opend)

Remaining 2u will be filled by pipe A

5u will take=60mins

Hence 1u =60/5min=12mins

Hence 2u will take 12*2=24mins.

Total time required = 4 hrs. + 24 min.

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15. At a garden site, 16 Mango trees,24 banyan trees and 28 Guava trees are to be planted in certain no of rows in such a way that each row has equal no of trees of the same species. what is the minimum number of rows that are required for this purpose

**Answer:**** Option A **

**Explanation:**

4 mango trees in 4 rows

4 banyan trees in 6 rows

4 guava trees in 7 rows

Total = 4+6+7=17

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16. If (x-4)/7 + (7-2x)/6 = (8-x)/2 , then x= ?

**Answer:**** Option C **

**Explanation:**

(x-4)/7 + (7-2x)/6 = (8-x)/2

(6x-24+49-14x)/42 = (8-x)/2

=> 50-16x = 336-42x

=> 26x = 286

=> x = 11

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17. 0.0002 / 0.004 + 0.0002 = ?

**Answer:**** Option D **

**Explanation:**

Here is no explanation for this answer

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18. (0.645 * 0.645 - 0.355 * 0.645 + 0.355*0.355)/(0.645 * 0.645*0.645 + 0.355 * 0.355*0.355) = ?

**Answer:**** Option E **

**Explanation:**

a^3+b^3 = (a+b) (a^2 - ab +b^2)

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19. What should come in place of both question marks?

2.5/? = ?/1.6

**Answer:**** Option C **

**Explanation:**

Here is no explanation for this answer

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20. The arithmetic mean of three numbers is 55. if the largest number is 2.5 times the smallest number and the remaining number is twice the smallest number, what is te largest of the three numbers.

**Answer:**** Option D **

**Explanation:**

Here is no explanation for this answer

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Here is the list of questions asked in Syntel Inc. Aptitude Test Question with Answers Syntel Inc. Mock Test page 2. Practice Syntel Inc. Written Test Papers with Solutions and take Q4Interview Syntel Inc. Online Test Questions to crack Syntel Inc. written round test. Overall the level of the Syntel Inc. Online Assessment Test is moderate. Only those candidates who clear the written exam will qualify for the next round, so practic all the questions here and take all the free tests before going for final selection process of Syntel Inc.