Latest Syntel Aptitude Question SOLUTION: 1Which is the least number which must be subtracted from 4573, so that the remainder is a perfect square ? 53 84 61 36 2.If (x-4)/7 + (7-2x)/6 = (8-x)/2 , then x= ? 9 7

• Placement Papers
• /
• Syntel
• /
• Numerical Ability
• /
• Arithmetic

Syntel Question Papers: Syntel Interview Experience(3) SYNTEL Company Profile

(#M40037483) SYNTEL Numerical Ability question appti Keep an EYE

1Which is the least number which must be subtracted from 4573, so that the remainder is a perfect square ? 53 84 61 36
2.If (x-4)/7 + (7-2x)/6 = (8-x)/2 , then x= ? 9 7 11 2
3.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 ? 1 tonne 750 kg. 500 kg. 1.5 tonne
5.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 ? 2 years 5 years 3 years 4 years
Two trains 246m and 304m long are travelling towards one another at 114km/hr and 66km/hr respectively. How long do the trains take to pass one another? 13sec 12sec 11sec 9sec
How many prime factors are there in the expression (6)23 x (4)10 x (5)10 ? 7 76 3 9

Asked In Syntel anil patidar (9 years ago)

Solved Saraswathy Read Solution (7)

Is this Puzzle helpful?   (29)   (12) Submit Your Solution Arithmetic

Read Solution (7) :

Saraswathy  (9 years ago)

1) Check for all the nos.
4573 - 53 = 4520
4573 - 84 = 4489
4573 - 63 = 4512
4573 - 36 = 4537
No perfect squares ll end in 2 nd 7 nd 0 should also be neglected since perfect sq. has atleast 2 0's at d end...... So dont consider 1st, 3rd nd 4th case... Calculate sq. root for 2nd case... The nearest perfect square is 3600 which is square root of 60... So values result should be greater than 60...
Hence 4489 is the perfect square... 84 must be subtracted...
Ans : 84

2)(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
Ans : 11

3) Let amount of sand nd cement be 3x nd x
3x+x = 1000kg
x = 250
Sand : cement => 750 : 250
(750+y)/250 = 6/1
y = 750
Ans : 750

6)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
Ans : 11 sec

7) (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 [If 23 is not considered as d prime factor...Otherwise it ll be 10]
Ans : 9

Is this solution Helpfull? Yes (43) | No (1)  

Saraswathy  (9 years ago)

5) Let d age of all the 6 people be 20...
After 5 years i.e. now their ages ll be 25...
Total age of all the 6 now is 25*6 = 150
Including baby's age, avg is 22... Let x be the age of baby...
(150+x)/7 = 22
x = 4
Ans : 4 years

Is this solution Helpfull? Yes (19) | No (1)  

augnesh rentala  (8 years ago)

babies age is 4 years

Is this solution Helpfull? Yes (1) | No   

Priti kumari  (9 years ago)

1.ans is 36
2.ans is 11
3.ans is 1 tonne
5.ans is 5 year
13 sec
23

Is this solution Helpfull? Yes | No (14)  

nani  (8 years ago)

please explain why 3x+x=1000???? why it is not 3x+x=750

Is this solution Helpfull? Yes | No   

shirisha  (8 years ago)

because 1 tonne=1000kg, so we take 3x+x = 1000

Is this solution Helpfull? Yes | No   

Sushmitha Angalakuduru  (5 years ago)

(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

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.