11. How many prime factors are there in the expression (6)23 x (4)10 x (5)10 ?
Answer: 9
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
Workspace
Syntel Inc.
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: Rs 43,750
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
Workspace
Syntel Inc.
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: 12 days
Explanation:Men Days
----------------------
100 (u) 60 (d)
500 x
100/500 = x/60
=> x = (100/500) * 60 = 12 days.
Workspace
Syntel Inc.
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: 4 hrs 24 mins
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.
Workspace
Syntel Inc.
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: 17
Explanation:4 mango trees in 4 rows
4 banyan trees in 6 rows
4 guava trees in 7 rows
Total = 4+6+7=17
Workspace
Syntel Inc.
16. If (x-4)/7 + (7-2x)/6 = (8-x)/2 , then x= ?
Answer: 11
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
Workspace
Syntel Inc.
17. 0.0002 / 0.004 + 0.0002 = ?
Answer: 0.0502
Explanation:Here is no explanation for this answer
Workspace
Syntel Inc.
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: 1
Explanation:a^3+b^3 = (a+b) (a^2 - ab +b^2)
Workspace
Syntel Inc.
19. What should come in place of both question marks?
2.5/? = ?/1.6
Answer: 2
Explanation:Here is no explanation for this answer
Workspace
Syntel Inc.
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: 75
Explanation:Here is no explanation for this answer
Workspace
Syntel Inc.
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