1. What is the next number of the following sequence
125102550(?)
Answer: 125
Explanation:Consider the series as 1 2 5 10 25 50 ____
1*2 = 2
2*2.5 = 5
5*2 = 10
10*2.5 = 25
25*2 = 50
50*2.5 = 125
Workspace
Syntel Inc.
2. What is the next number of the following sequence
1.5, 3, 9, 18, 54, 108,...?
Answer: 324
Explanation:5*2=3
3*3=9
9*2=18
18*3=54
54*2=108
108*3=324
Workspace
Syntel Inc.
3. what is the next number following sequence
49216256498(?)
Answer: 1
Explanation:49 216 25 64 9 8(?)
7^2 6^3 5^2 4^3 3^2 2^3 (1^2)
Workspace
Syntel Inc.
4. What is the next number following sequence
272267202607(?)
Answer: 1822
Explanation:2 7 22 67 202 607 ?
2*3+1=7
7*3+1=22
22*3+1=67
67*3+1=202
202*3+1=607
607*3+1=1822
Workspace
Syntel Inc.
5. If the value of the numerator is increased by 20% and that of the denominator is decreased by 25% the fraction becomes unity the numerator of original fraction is:
Answer: 5
Explanation:120n/75d=1
n/d=75/120=5/8
Workspace
Syntel Inc.
6. A started business investing Rs. 60,000.Exactly six months later,B joined him investing Rs. 90,000.If they make a profit of Rs. 1,26,000 at the end of the year. How much should B's share in it?
Answer: Rs 54,000,
Explanation:A investment for 12 months = 60,000*12 = 720000
B investment for 6 months = 90000 * 6 = 540000
A & B investment ratio = 72/54 => 4/3
So, B' share = 126000 * 3/7= 54000
Workspace
Syntel Inc.
7. B's monthly salary is less by 10% than that of A's.C's monthly salary is less by 25% than that of A's.By what percent of B's salary more than that of C's?
Answer: 20%
Explanation:Lets consider c's salary = Rs. 100
B's will be 90
C's will be 100(1-25/100)=100*(75/100)=75
[(90-75)/75]*100=(15/75)*100=20%
Workspace
Syntel Inc.
8. Sand and cement were mixed in the ratio 3 : 1 to make up 1 tonne. How much sand must be added to make the ratio 6 : 1 ?
Answer: 750 kg.
Explanation:Let amount of sand and cement as 3x and x
3x+x = 1000kg
x = 250
Sand : cement => 750 : 250
(750+y)/250 = 6/1
=> y = 750 kg.
Workspace
Syntel Inc.
9. Five years ago the average age of a family of six members was 20 years. A baby is born and now the average age is 22 years. How old is the baby at present ?
Answer: 4 years
Explanation:Lets assume the age of all the 6 people = 20 years.
After 5 years i.e. now their ages will be 25 years.
Total age of all the 6 will be = 25*6 = 150
Including baby's age, avg is 22 years
Let x be the age of baby.
(150+x)/7 = 22
=> x = 4 years.
Workspace
Syntel Inc.
10. Two trains 246 m and 304 m long are travelling towards one another at 114 km/hr and 66 km/hr respectively. How long do the trains take to pass one another?
Answer: 11 sec
Explanation:114 km/h => 114*5/18 m/s => 95/3 m/s
66km/h => 66*5/18 m/s => 55/3 m/s
Time taken = (246+304)/(55/3 + 95/3) => 11 sec
Workspace
Syntel Inc.
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