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Q1. In Madras, the temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much the temperature is more or less from 4 pm to 9 pm.
ANS: At 9 pm 7.5 more
Sol) In equation first put t=9,
we will get 34.5………………………(1)
now put t=4,
we will get 27…………………………(2)
Q2. A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?
ANS: x*53-x*35=540=> x=30 therefore, 53*30=1590 Ans
Q3. How many positive integer solutions does the equation 2x+3y = 100 have?
ANS: There is a simple way to answer this kind of Q s given 2x+3y=100, take l.c.m of x co-eff and y co-eff i.e. l.c.m of 2,3 ==6 then divide 100 with 6, which turns out 16 hence answer is 16 short cut formula— constant / (l.cm of x co-eff and y co-eff)
Q4. The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 borders.
Let a = fixed cost and k = variable cost and n = number of boarders
total cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25k
total cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50k
solving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50
therefore, substituting this value of k in either of the above 2 means we get
a = 500 (a = 3000-50*50 = 500 or a = 1750 – 25*50 = 500)
so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500
so cost per head = 5500/100 = 55
Q5. Amal bought 5 pens, 7 pencils, and 4 erasers. Rajan bought 6 pens, 8 erasers, and 14 pencils for an amount that was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
d) None of these
Let, 5 pens + 7 pencils + 4 erasers = x rupees
so 10 pens + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erasers = 1.5*x rupees
so (10-6) = 4 pens = (2-1.5)x rupees
so 4 pens = 0.5 x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid abysmal)
i.e 5/8 = 500/8% = 62.5% is the answer
Q6. lost Rs.68 in two races. My second race loss is Rs.6 more than the first race. My friend lost Rs.4 more than me in the second race. What is the amount lost by my friend in the second race?
x + x+6 = rs 68
2x + 6 = 68
2x = 68-6
2x = 62
x is the amt lost in I race
x+ 6 = 31+6=37 is lost in the second race
then my friend lost 37 + 4 = 41 Rs
Q7. Ten boxes are there. Each ball weighs 100 gms. One ball is weighing 90 gms.
i) If there are 3 balls (n=3) in each box, how many times will it take to find 90 gms ball?
ii) the Same question with n=10
iii) the Same question with n=9
(i) nC1= 3C1 =3 for 10 boxes .. 10*3=30
(ii) 10C1=10 for 10 boxes ….10*10=100
(iii)9C1=9 for 10 boxes …..10*9=90
Q8. (1-1/6) (1-1/7)…. (1- (1/ (n+4))) (1-(1/ (n+5))) = ?
leaving the first numerator and last denominator, all the numerators and denominators will cancel out one another.
Q9. The face of the clock is divided into three parts. The first part hours total is equal to the sum of the second and third parts. What is the total of hours in the bigger part?
ANS: the clock normally has 12 hr
three parts x,y,z
so the largest part is 6 hrs
Q10. Low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. The Sum of the low temp and high temp is 100 c. then what is the low temp?
ANS: 40 c.
Q11. 2 oranges,3 bananas, and 4 apples cost Rs.15. 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas, and 3 apples
ANS: Rs 15.(same as above)
Q12. A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is his profit percentage?
Q13. Bhanu spends 30% of his income on petrol on scooters. ? the remaining is on house rent and the balance is on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Q14. A sporting goods store ordered an equal number of white and yellow balls. The tennis ball company delivered 45 extra white balls, making the ratio of white balls to yellow balls 1/5: 1/6. How many white tennis balls did the store originally order?
d) None of these
Q15. (1/2) of a number is 3 more than the (1/6) of the same number?
Q16. 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, and 160..in tank B. (At the end of the first hour, B has 10 liters, in the second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is the total duration of hours required to fill it?
Q17. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube look of the same shape?
Q18. A game is played between 2 players and one player is declared the winner. All the winners from the first round are played in the second round. All the winners from the second round are played in the third round and so on. If 8 rounds are played to declare only one player as the winner, how many players are played in the first round?
Q19. There are 7 friends (A1, A2, A3….A7). If A1 has to have a shake with all without repeat. How many handshakes are possible?
Q20. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called china to start growing on the rocks. China grows in the form of a circle, and the relationship between the diameter of this circle and the age of china is given by the formula d = 4*v (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 china at a particular spot as 7mm. How many years back did the solar blast occur?
Q21. 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.
Q22. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says At least n of the statements on this sheet are false. Which statements are true and which are false?
a) The even-numbered statements are true and the odd-numbered are false.
b) The odd-numbered statements are true and the even-numbered ones are false.
c) The first 35 statements are true and the last 35 are false.
d) The first 35 statements are false and the last 35 are false.
Q23. 3 persons a, b, and c were there A always says the truth lies on Monday, Tuesday,& Wednesday. but C lies on Thursday, Friday & Saturday .one day A said that B & C said to A that B said yesterday was one of the days when I lie, and C said that yesterday was one of the days when I lie too. then which day was that?
Q24. By using 1,2,3,4,5, how many 5-digit no. can be formed which is divisible by 4, repetition of no. is allowed??
Q25. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position I below the top coin (0 = i =
Q26. We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example, once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it’s a player’s turn then the player wins the game. Initially, the gold coins were the third coin from the top. Then:-
A) To win, Alices’ first move should be a 0-move.
B) To win, Alices’ first move can be a 0-move or a 1-move.
C) To win, Alices’ first move should be a 1-move.
D) Alice has no winning strategy.
Q27. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as As chance of winning. Let’s assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
Q28. Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y — Z where X, Y, and Z are variables representing single digits (0 to 9), Aloe would like to maximize N while Bhanu would like to minimize it. Towards this end, Aloe chooses a single-digit number and Bhanu substitutes this for a variable of her choice (X, Y, or Z). Aloe then chooses the next value and Bhanu, the variable to substitute the value. Finally, Aloe proposes the value for the remaining variable. Assuming both plays to their optimal strategies, the value of N at the end of the game would be
Q29. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities is true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent.
A) B only
B) Neither A nor B
C) A only
D) Both A and B
Q30. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Trump continues to lead the way in products and services in India. At Trump, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?
Q31. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is
Q32. If you type in the command Northrup sort employees > list 2 > error out & and log off, the next time you log in, the output will be
a) in a file called list and the error will de typed in a file error out
b) there will be no file called list or error out
c) error will be logged in a file called list and o/p will be in error out
d) you will not be allowed to log in
e) none of the above
Q33. Ram buys a cycle for 31 dollars and is given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave the change to Ram. After 2 days, it is known that the cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of the cycle is 19 dollars. What is the profit/loss for shop keeper?
ANS: 23(cost price + change given).
Q34. A metal strip of width x cm. 2 metal strips are placed one over the other, then the combined length of the 2 strips is y. Suppose z strips are placed in that manner. What is the final width of that arrangement?
ANS: (z-1) (y-x) +x.
Q35. A game is played between 2 players and one player is declared the winner. All the winners from the first round are played in the second round. All the winners from the second round are played in the third round and so on. If 8 rounds are played to declare only one player as the winner, how many players are played in the first round
Q36. There are 3 boys A, B, and C, and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions or middle positions. C always sits in extreme positions. Who is sitting immediately right to E?
ANS: B or C
Q37. 49 members attended the party. Of that 22 are males, and 17 are females. They shake hands between males, females, males, and females. A total of 12 people were given shaking hands. How many such kinds of shaking hands are possible?
ANS: 12 C 2
Q38. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide the 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?
Q39. There are 2 friends Peter and Paul. Peter’s age is twice as old as Paul’s when peter was as old as Paul’s now. Some of the present ages of Peter and Paul are 35. What is their present age, Peter?
Q40. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, and 160 in tank B. (At the end of the first hour, B has 10 liters, and the second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it?
(a) 26 hrs
(b) 25 hrs
(c) 5 hrs
(d) 27 hrs
Q41. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160… in tank B. (At the end of the first hour, B has 10 liters, and the second hour it has 20, and so on). If tank B is 1/16 filled after 4 hours, what is the total duration required to fill it?
(a) 8 hrs
(b) 25 hrs
(c) 5 hrs
(d) 27 hrs
Q42. Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red, 10 white, 25 yellow, 55 purple, and 30 orange. The lights are out and it is dark despite the darkness. She can make out the difference between a hat and a glove. She takes an item out of the closet only if she is sure that it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, and yellow?
Note: For this type of question:
Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1), If you do not find an answer in the options, choose the one closer to the response you got.