1. Which is the smallest no divides 2880 and gives a perfect square?
a.1 b.2 c.5 d.6
Ans: c
2880= 2*1440=20*144=4*5*144
a.1 b.2 c.5 d.6
Ans: c
2880= 2*1440=20*144=4*5*144
4 and 144 are perfect squares. As product of perfect squares is a perfect square 2880 should be either divided or multiplied by 5.
3. Man, Bear, North, South, walks. Colour of bear(Hint: North pole )
Ans: White
3. Man, Bear, North, South, walks. Colour of bear(Hint: North pole )
Ans: White
As it is North Pole, existence of only polar bears is possible. So color of the bear is WHITE.
4. A father has 7 penny s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p.he has three sons. How can he share the fruits equally?
Ans: 1 watermelon, 2chickoos, 1grape
4. A father has 7 penny s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p.he has three sons. How can he share the fruits equally?
Ans: 1 watermelon, 2chickoos, 1grape
Trial and error method
5. (1/2) of a number is 3 times more than the (1/6) of the same number?
Ans: 9
5. (1/2) of a number is 3 times more than the (1/6) of the same number?
Ans: 9
QUESTION WRONG
It should be like “(1/2) of a number is 3 more than the (1/6) of the same number”
Sol: (x/2) = 3+(x/6)
Sol: (x/2) = 3+(x/6)
6. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160 .if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?
Ans: 7 hours
First 3 hrs.. 10+20+40= 70ltrs
So, 70 ltrs = 1/16 =>Total = 1120 ltrs
10+20+40+80+160+320+… is the quantity of filling so in 7th hour the tank gets filled. (Can be done using G.M Method also)
7. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer some days one man is added and his age is 49.what is the average weight of all?
Ans: 49
7. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer some days one man is added and his age is 49.what is the average weight of all?
Ans: 49
Average age of 4 ppl now = 49yrs. If a person with same age as the average is added to the group, average age doesn change
Proof: Total age of 4 ppl now = 49*4=196
Age of new person=49
Hence total sum of ages= 245
Average= 245/5= 49
8. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots do not have atleast a single reader.
(1) 5 (2) 6 (3) 7 (4) None
At each table, 1, 2, 3, 4 ppl will be sitting respectively as per the above conditions. So 10-4 = 6 reading spots do not have atleast a single reader.
9. A person do rock climbing at an altitude of 800 m.He go up by 7 mph. and come down by 9 mph. what was his av speed.
Ans (7+9)/2=8.
10. A boy want to make a cuboid of dimension 5m, 6m, 7m. from small cubes of .03 m3. later he realized he can make same cuboid by making it hollow. Then it take some cubes less. What is the no. of these cube.
Ans. Vol of solid cuboid= 5*6*7=210 m3. Vol of its inner cuboid by removal of which the cuboid will be hollow= (5-2)*(6-2)*(7-2)=60 m3, then ans will be 60/.03
11. Two years ago A was 6 times older than B. Now he is 2 times older than B. What is the age of A.
Ans. Age of A=5, Age of B= Two and half.
Let the present ages of A and B be A and B respectively.
From 1st statement (A-2)=6(B-2)
2nd statement A=2B
Solving both will give us the solution
12. What is thew value of (78*78*78-45*45*45)/(78*78+78*45+45*45)
Ans. 78-45=33. HINT:a3-b3=(a-b)(a2+ab+b2)
13. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys
a) 1/64 b) 1/32 c) 1/128 d) 1/256
ans:probability=(1/2)^6=1/64
14. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17 b) 21.25 c) 12.25 d) 14.05
Ans:put d=7 in given equation and square both side and then find the value of t.
15.Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.
a) 20.72 b) 3.5 c) 238.25 d) 6.18
ans:Ferrari speed =4*Mercedes speed =4*35=140, t=490/140=3.5
16.1/3) of a number is 3 more than the (1/6) of the same number?
a) 6 b) 7 c) 18 d) 9
ans:x/3=3+x/6 x/3-x/6=3 x/6=3 x=18
17. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 26 hours, what is total duration of hours required to fill it completely?
a) 26 B) 31 c) 5 d) 27
ans: 1/32 in 26
2/32 in 27
4/32 in 28
8/32 in 29
16/32 in 30
32/32 in 31
18. lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
a) 50 b) 8 c) 40 d) 42
Solution:
This is the most repeated question in Tcs so prepare it well. It has no logic but it’s answer comes like this
Firstly add 2 max values i.e 20+18=38
Then add 2 to answer i.e. 38+2=40 so this is the answer.
19. There is a square. 5 circles are kept on the diagonal of the square such that the two extreme circles touch the two sides of the square.each circle has equal radius.find the ratio of side of hte squae to that of the radius.
ans: diagonal=(root 2)*a , a= side of the square.
The additon of diameters of all the circles is equal to (root2)*a
2*7*r=(root2)*a
But the two extreme circles wiil not touch at the corners so we have to find those distances.
x=distanse at on corner=r*((root2)-1)
but toal distance=2*x due to 2nd corner
hence tatladistance=2*x+2*7*r
or 2*x+2*7*r=(root2)*a
now you can find the ratio easily.
20. A Sheet of paper has statements number from 1 to 20. Statement n says "At least n of the statements on this sheet are true". Which statements are true and which are false.
a. The even no statements are true and the odd no statements are false.
b. The 1st 13 statements are false and rest are true.
c. The 1st 6 statements are true and rest are false
d. The odd no statements are true and even no. are false.
Solution: This type of question was repeated 3 times but for different case.
12. What is thew value of (78*78*78-45*45*45)/(78*78+78*45+45*45)
Ans. 78-45=33. HINT:a3-b3=(a-b)(a2+ab+b2)
13. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys
a) 1/64 b) 1/32 c) 1/128 d) 1/256
ans:probability=(1/2)^6=1/64
14. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17 b) 21.25 c) 12.25 d) 14.05
Ans:put d=7 in given equation and square both side and then find the value of t.
15.Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.
a) 20.72 b) 3.5 c) 238.25 d) 6.18
ans:Ferrari speed =4*Mercedes speed =4*35=140, t=490/140=3.5
16.1/3) of a number is 3 more than the (1/6) of the same number?
a) 6 b) 7 c) 18 d) 9
ans:x/3=3+x/6 x/3-x/6=3 x/6=3 x=18
17. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 26 hours, what is total duration of hours required to fill it completely?
a) 26 B) 31 c) 5 d) 27
ans: 1/32 in 26
2/32 in 27
4/32 in 28
8/32 in 29
16/32 in 30
32/32 in 31
18. lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
a) 50 b) 8 c) 40 d) 42
Solution:
This is the most repeated question in Tcs so prepare it well. It has no logic but it’s answer comes like this
Firstly add 2 max values i.e 20+18=38
Then add 2 to answer i.e. 38+2=40 so this is the answer.
19. There is a square. 5 circles are kept on the diagonal of the square such that the two extreme circles touch the two sides of the square.each circle has equal radius.find the ratio of side of hte squae to that of the radius.
ans: diagonal=(root 2)*a , a= side of the square.
The additon of diameters of all the circles is equal to (root2)*a
2*7*r=(root2)*a
But the two extreme circles wiil not touch at the corners so we have to find those distances.
x=distanse at on corner=r*((root2)-1)
but toal distance=2*x due to 2nd corner
hence tatladistance=2*x+2*7*r
or 2*x+2*7*r=(root2)*a
now you can find the ratio easily.
20. A Sheet of paper has statements number from 1 to 20. Statement n says "At least n of the statements on this sheet are true". Which statements are true and which are false.
a. The even no statements are true and the odd no statements are false.
b. The 1st 13 statements are false and rest are true.
c. The 1st 6 statements are true and rest are false
d. The odd no statements are true and even no. are false.
Solution: This type of question was repeated 3 times but for different case.
For this type of Questions, follow this:
At least- Ist half are true, Last half are false
Exactly- Last second one is true or (N-1)th Statement is true
Almost- All are true.
So correct answer is (C)
21.Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be?
Note: For this type of questions:
x+y-z=11
x-y-z=2
x*(y+z)=18
What should be the approach to do such type of prob?
Solution: This question was repeated 3 times for different cases
Yeah TCS has this 3 type of questions where there is
x+y-z,=11
x-y-z ==2
and x*(y+z)=18
At least- Ist half are true, Last half are false
Exactly- Last second one is true or (N-1)th Statement is true
Almost- All are true.
So correct answer is (C)
21.Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be?
Note: For this type of questions:
x+y-z=11
x-y-z=2
x*(y+z)=18
What should be the approach to do such type of prob?
Solution: This question was repeated 3 times for different cases
Yeah TCS has this 3 type of questions where there is
x+y-z,=11
x-y-z ==2
and x*(y+z)=18
thq :)
ReplyDelete2nd question is insufficient!!
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