Q1. (1/2) of a number is 3 more than the (1/6) of the same number?
a) 6 b) 7 c) 8 d) 9
Solution:
Let the number be x,
((1/2)*x)=3+(1/6)*x,
Then solve x
Q2. 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 21 hours, what is total duration of hours required to fill it completely?
a) 26 B) 25 c) 5 d) 27
Solution: for every hour water in tank in B is doubled, Let the duration to fill the tank B is x hours. x/32 part of water in tank of B is filled in 21 hours, Next hour it is doubled so, 2*(x/32) part i.e (x/16) part is filled in 22 hours,
Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours, (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours
So answer is 26 hours.
Q3. 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
Solution:
Probability of a boy or girl is ½
So for remaining 6 it’s – {1/2}^6= 1/64
Q4. A 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.
Q5. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?
a) 1/2 b) 1/6 c) 1/12 d) 6/10
Solution is ½.
Q6. 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
Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answer
Q7. 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
Solution: Speed of Ferrari =4*35=140,time=distance/velocity,
Q8. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?
a) 4 b) 5 c) 6 d) 7
Solution: Will be 5.
For 31p, we divide it 1,2,4,8,16.
Q9. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?
a) loss 23 b) gain 23 c) gain 54 d) Loss 54
Solution: 23 loss
as he has to pay 35 dollar to neighbor he has only 31 remaining
so 35-31=4
and cycle costs 19 dollar
so total loss=19+4=23 dollar
Q10. If there are 30 cans out of them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisened can?
A) 3 B) 2 C) 6 D) 1
Solution: 1
Because in that problem they didn't mention the details like,one mice take 2 hr or 3hr etc. They told only 24 hr to test. So 1 mice is enough rest are useless words.
Q11. 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)
Q12. On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.
Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.
Solution: 89 deg
36 hours a day mane the clk will be of 18 hours.
18 hours covrs 360 deg
Thus 1 hour covrs 20 deg
12 hours covers 12*20=240 deg
ekhon,1 hour in 90 min
thus in 90min the hour hand goes 20deg
tai, for 1min hr hand goes 2/9deg
sei jonne, for 40 min hour hnd goes (2/9)*40deg=80/9deg=9deg(approx)
thus hr hand covrs total of 240+9=249deg
now min hand covrs=40*4=160deg
(karon, 90min=360deg
1min=4deg)
hus angle betwn them 249-160=89deg
Q13. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that is not needed for the question) All of the following combinations are possible to make a perfume except:
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac
Solution: First is acceptable for perfume since balsamic and liliac are given to be present and second is also acceptable as lemon can be added with any of four, third is also acceptable as given in question left fourth is not acceptable as MI mosaic is always with woody and balsamic is always with liliac. Therefore combination of MI mosaic and liliac cant occur because woody and balsamic are never together
Q14: 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
If an integer is added to any of the above equations just add the integer to the value of the equations. For example in this case it would be 15+18=33. (don't ask me for explanations why this value comes for those equations. It took me some gruelling sessions to understand that)
Q15. Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now?
a) There is less coffee in the first tumbler than water in the second tumblers
b) There is more coffee in the firs tumbler than water in the second tumbler
c) There is as much coffee in the first tumbler as there is water in the second tumbler
d)None of the statements holds true
Solution: a
There is less coffee in the first tumbler than water
Q16. Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively, find the value of A+B
Solution:
First 100 whole nos=0 to 99.
thus A=no.of 0's=(0,10,20,30,40,50,60,70,80,90)=10
B=no. of 9's=(9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,9 6,97,98,99)=20
A+B=30
Q17. When my uncle died, he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt's maximum share if my uncle has atleast one son and one daughter?
(a) 19,80000 (b) 9,90,000 (c) 3,30,000 (d) 2,20,000 (e) 1,98,00
Solution:
1+2+6=9
1980000/9=220000
220000(mother)
440000(daughter)
1320000(brother)
Answer is 220000(d)
Q18. There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to E?
Solution:
A D B E C
right of e is c
a) 6 b) 7 c) 8 d) 9
Solution:
Let the number be x,
((1/2)*x)=3+(1/6)*x,
Then solve x
Q2. 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 21 hours, what is total duration of hours required to fill it completely?
a) 26 B) 25 c) 5 d) 27
Solution: for every hour water in tank in B is doubled, Let the duration to fill the tank B is x hours. x/32 part of water in tank of B is filled in 21 hours, Next hour it is doubled so, 2*(x/32) part i.e (x/16) part is filled in 22 hours,
Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours, (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours
So answer is 26 hours.
Q3. 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
Solution:
Probability of a boy or girl is ½
So for remaining 6 it’s – {1/2}^6= 1/64
Q4. A 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.
Q5. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?
a) 1/2 b) 1/6 c) 1/12 d) 6/10
Solution is ½.
Q6. 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
Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answer
Q7. 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
Solution: Speed of Ferrari =4*35=140,time=distance/velocity,
Q8. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?
a) 4 b) 5 c) 6 d) 7
Solution: Will be 5.
For 31p, we divide it 1,2,4,8,16.
Q9. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?
a) loss 23 b) gain 23 c) gain 54 d) Loss 54
Solution: 23 loss
as he has to pay 35 dollar to neighbor he has only 31 remaining
so 35-31=4
and cycle costs 19 dollar
so total loss=19+4=23 dollar
Q10. If there are 30 cans out of them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisened can?
A) 3 B) 2 C) 6 D) 1
Solution: 1
Because in that problem they didn't mention the details like,one mice take 2 hr or 3hr etc. They told only 24 hr to test. So 1 mice is enough rest are useless words.
Q11. 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)
Q12. On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.
Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.
Solution: 89 deg
36 hours a day mane the clk will be of 18 hours.
18 hours covrs 360 deg
Thus 1 hour covrs 20 deg
12 hours covers 12*20=240 deg
ekhon,1 hour in 90 min
thus in 90min the hour hand goes 20deg
tai, for 1min hr hand goes 2/9deg
sei jonne, for 40 min hour hnd goes (2/9)*40deg=80/9deg=9deg(approx)
thus hr hand covrs total of 240+9=249deg
now min hand covrs=40*4=160deg
(karon, 90min=360deg
1min=4deg)
hus angle betwn them 249-160=89deg
Q13. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that is not needed for the question) All of the following combinations are possible to make a perfume except:
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac
Solution: First is acceptable for perfume since balsamic and liliac are given to be present and second is also acceptable as lemon can be added with any of four, third is also acceptable as given in question left fourth is not acceptable as MI mosaic is always with woody and balsamic is always with liliac. Therefore combination of MI mosaic and liliac cant occur because woody and balsamic are never together
Q14: 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
If an integer is added to any of the above equations just add the integer to the value of the equations. For example in this case it would be 15+18=33. (don't ask me for explanations why this value comes for those equations. It took me some gruelling sessions to understand that)
Q15. Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now?
a) There is less coffee in the first tumbler than water in the second tumblers
b) There is more coffee in the firs tumbler than water in the second tumbler
c) There is as much coffee in the first tumbler as there is water in the second tumbler
d)None of the statements holds true
Solution: a
There is less coffee in the first tumbler than water
Q16. Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively, find the value of A+B
Solution:
First 100 whole nos=0 to 99.
thus A=no.of 0's=(0,10,20,30,40,50,60,70,80,90)=10
B=no. of 9's=(9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,9 6,97,98,99)=20
A+B=30
Q17. When my uncle died, he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt's maximum share if my uncle has atleast one son and one daughter?
(a) 19,80000 (b) 9,90,000 (c) 3,30,000 (d) 2,20,000 (e) 1,98,00
Solution:
1+2+6=9
1980000/9=220000
220000(mother)
440000(daughter)
1320000(brother)
Answer is 220000(d)
Q18. There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to E?
Solution:
A D B E C
right of e is c
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