MU-NLPC/Calc-aqua_rat huggingface dataset:
Suganya and Suriya are partners in a business. Suganya invests Rs. 32,000 for 8 months and Suriya invests Rs.28,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is
Choose the most appropriate option:
A) Rs.9471  B) Rs.12,628  C) Rs.912.54  D) Rs.18,942  E) None

Solution: Solution   Ratio of their shares	=(32000Ã—8):(28000Ã—10)   = 32:35 .   Suganya's share	= Rs.(31570 Ã—2/67)   = Rs.912.54.   Answer Rs.912.54
Answer: C
John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment E that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?	Choose the correct answer
A) a. 3/5	B) b.2/3	C) c.7/10	D) d.3/4	E) e.4/5

Solution: X(10) --- Net(0) --- E(-15) = -15/-10 = 3/2.   So, John invested 3/3+2= 
3/3+2 = 3
3/5 of his savings in investment X. a. 3/5ns (a. 3/5).
Answer: A
There are 24 students in Chadâ€™s class. He brought 25 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?  Pick one
A) 1-9 B) 1-7 C) 2-8 D) 1-1 E) 3-10

Solution: 25/24 = 1 R 1 Chad will give each student 1 cookie and there will be 1   cookies left over   correct answer 1-1
Answer: D
John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 160% of John's weight. Which of these 5 people weighs the least?  Choices:
A) John  B) Susan  C) Sam  D) Mark  E) Lynn

Solution: John weighs twice as much as Susan --> J=2S --> John cannot weigh the least;   Susan's weight is 60% of Sam's weight --> S=0.6*Sam --> Sam cannot weigh the least;   Mark weighs 50% of Lynn's weight --> M=0.5*L --> Lynn cannot weigh the least;   Lynn weighs 160% of John's weight --> L=1.9*J --> John cannot weigh the least (we already know that);   As you can see the answer is either Susan (S) or Mark (M). To compare their weights we should express their weights in regards of the same person: M=0.5*L=0.5*(1.6*J)=0.8*J and from J=2S, S=0.5*J --> Susan weights the least: Susan's weight is 50% of that of John and Mark's weight is more than 50%of that of John.   Answer: Susan.
Answer: B
The least common multiple of positive integer m and 3-digit integer n is 690. If n is not divisible by 3 and m is not divisible by 2, what is the value of n?  Select:
A) 115	B) 230	C) 460	D) 575	E) 690

Solution: The LCM of n and m is 690 = 2*3*5*23.   m is not divisible by 2, thus 2 goes to n   n is not divisible by 3, thus 3 goes to m.   From above:   n must be divisible by 2 and not divisible by 3: n = 2*... In order n to be a 3-digit number it must take all other primes too: n = 2*5*23= 
2*5*23 = 230
230.   Answer: 230.
Answer: B
A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 27 more than the correct answer. Find the number.
Select the correct option
A) 40	B) 50	C) 60	D) 70	E) 80

Solution: Let the number be x.   (5/4) * x = (4/5)*x + 27   25x = 16x + 540   9x = 540   x = 60   The answer is 60.
Answer: C
A library has an average of 150 visitors on sundays and 120 on other days . The avearge number of visitors per day in a month of 30 days beginning with a sunday is?	Choose the correct choice from the following: A) 50 B) 75 C) 150 D) 125 E) 100

Solution: Since the month begin with sunday, so there will be five sundays in the month   Required average = (150*5 + 120*25)/30 = 3750/30= 
3750/30 = 125
125   Answer is 125
Answer: D
A fold density is 19 times greater than the water and for copper it is 9 times. At what ratio you can mix gold
and copper to get 15 times denser than water. ? Answers
A) 3 : 1  B) 3 : 2  C) 3 : 5  D) 3 : 8  E) 3 : 7

Solution: Suppose x units of gold are mixed with y units of copper to make (x+y) units of alloy which is 15 times denser than water.   Then 19*x + 9*y = 15*(x + y)   => 19*x - 15*x = 15*y - 9*y   => 4*x = 6*y => x/y = 3/2   So gold and copper should be mixed respectively in the ratio of 3 : 2   ANSWER:3 : 2
Answer: B
Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7200 km and comes back to the starting point. The total time taken by him is: Pick one
A) 914.2 hours  B) 900 hours  C) 915 hours  D) 905 hours  E) 915 hours

Solution: Explanation:   Speed downstream = (16 + 2)= 
(16 + 2) = 18
18 kmph   Speed upstream= (16 - 2)= 
(16 - 2) = 14
14 kmph   Total time taken= 7200/18 + 7200/14 = 400 + 514.2= 
400 + 514.2 = 914.2
914.2 hours   914.2 hoursnswer: Option 914.2 hours
Answer: A
The number of arrangements that can be made with the letters of the word MEADOWSS so that the vowels occupy the even places?
Choose the correct option: A) 14 B) 144 C) 720 D) 992 E) 221

Solution: The word MEADOWS has 7 letters of which 3 are vowels.   -V-V-V-   As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 5 places in 5! i.e., 120 ways.   Hence the total ways are  120 * 6= 
 120 * 6 = 720
720.   Answer:720
Answer: C
What should come in place of the question mark (?) in the following equation?
45789+ 34567 = 610+ ?	Choose the correct choice from the following options.
A) 96543	B) 13678	C) 23456	D) 56789	E) 79746

Solution: 45789+ 34567 = 610+ ?   45789+ 34567 – 610 = 79746   Answer 79746
Answer: E
Today is Monday.After 61 days,it will be Choose the correct choice from the following options.
A) Wednesday B) Saturday C) Tuesday D) Thursday E) None of these

Solution: Solution   Each day of the week is repeated after 7 days   So,after 63 days,it will be Monday.   ∴ After 61 days,it will be Saturday. Answer Saturday
Answer: B
If 2 men or 3 women can reap a field in 8 days how long will 3 men and 4 women take to reap it? Choose the correct option:  A) 2/16  B) 1/16  C) 3/24  D) 5/16  E) 6/26

Solution: Explanation:   2 men reap 1/8 field in 1 day   1 man reap 1/(2 x 8)   3 women reap 1/8 field in 1 day   1 woman reap 1/(3 x 8)   3 men and 4 women reap (3/(2 x 8)+ 4/(3 x 8)) =5/16 in 1 day   3 men and 4 women will reap the field in 5/16 days   Answer: Option 5/16
Answer: D
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by 4 when k is any of the following values EXCEPT	Choose the correct choice from the following options
A) -4	B) -3	C) -1	D) 2	E) 5

Solution: We have the product of 3 integers: (x-1)x(x-k).   Note that the product of 3 integers is divisible by 4 if at least one multiple is divisible by 4. Now, to guarantee that at least one integer out of x, (x – 1), and (x – k) is divisible by 4 these numbers must have different remainders upon division by 4, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 2.   Next, if k=-3 then we'll have (x-1)x(x+2)=(x-1)x(x+3) --> which means that (x-1) and (x+3) will have the same remainder upon division by 4. Thus for k=-3 we won't be sure whether (x-1)x(x-k) is divisible by 4.   Answer: -3.
Answer: B
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5m3 , then the rise in the water level in the tank will be:  Choose the correct choice from the following
A) 31.25 cm B) 25 cm C) 35 cm D) 50 cm E) None of these

Solution: Explanation:   Total volume of water displaced =(5 x 50) m3 = 250 m3   Rise in water level = 250/40Ã—20= 0.3125m = 31.25cm   31.25 cmnswer: 31.25 cm
Answer: A
In how many ways can the letters of the word 'PRAISE' be arranged. So that vowels do not come together?
Choose the correct choice from the following choices:
A) 720  B) 576  C) 440  D) 144  E) None of these

Solution: Required number of possible outcomes   = Total number of possible outcomes – Number of possible outcomes in which all vowels are together   = 6! – 4 ! × 3! = 576   Answer 576
Answer: B
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 70, the dividend is:
Choose the correct answer:
A) A)5322
B) B)5330
C) C)12320
D) D)53400
E) E)53420

Solution: Divisor = (5 * 70)= 
(5 * 70) = 350
350= 10 * Quotient = Divisor   => Quotient = 350/10= 
350/10 = 35
35   Dividend= (Divisor * Quotient) + Remainder   Dividend = (350 * 35) + 70= 
(350 * 35) + 70 = 12_320
12320.   12320
Answer: C
A class consists of 6 boys and 5 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?	Pick
A) 50	B) 18	C) 32	D) 60	E) 240

Solution: Easiest way is to treat it like an arrangements question in the following manner:   From the boys we need to select 2 to be clown and pet: This can be done in 5*6 ways   Similarly for the girls, we have 4*5 ways.   Thus total = 30+20= 
30+20 = 50
50 ways. Thus 50 is the correct answer.
Answer: A
The value of land increases by u% during June and decreases by v% during July. If the value of the land is the same at the end of July as at the beginning of June, what is v in terms of u?
Answers.
A) 200u/(100+2u)	B) 100u/(100+u)	C) u(2+u)/(1+u)2	D) u(200+u)/10000	E) 2u/u+2u

Solution: The simplest pairing is a 25% increase will be offset by a 20% decrease.   Here's the proof:   Starting value = 100   25% increase = 100 + (.25)(100) = 125   20% decrease = 125 - (.2)(125) = 100   Ending value = 100   So we would be looking for an answer that equals 20 when A=25. While the answers might appear 'complex', you can actually avoid much of the 'math' if you just fill in the parts and take a good look at what you have...   Answer A: (200)(25)/(150) ... since 200>150, this answer will be greater than 25. ELIMINATE A.   Answer B: (100)(25)/125) = (100)(1/5) = 20 This is a MATCH.   Answer C: (25)(27)/(26)2 ... nothing 'cancels out', so this cannot = 20. ELIMINATE C.   Answer D: (25)(225)/10000... the 'units' digit of the numerator is a 5; when dividing by 10,000, this won't end in a 0. ELIMINATE D.   Answer E:  (50/25) + 50= 
 (50/25) + 50 = 52
52. ELIMINATE E.   ans 100u/(100+u)
Answer: B
A cricket bat is sold for $900, making a profit of $100. The profit percentage would be Choose the correct option:
A) 24%	B) 12.5%	C) 30%	D) 36%	E) 40%

Solution: 100/(900 - 100) = 100/800= 
100/800 = 1/8 = around 0.125
0.125= 12.5%.   Answer: 12.5%
Answer: B
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choose one: A) 111.12 m B) 888.88 m C) 777.52 m D) 756.34 m E) 766.34 m

Solution: A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.   111.12 mNSWER:111.12 m
Answer: A
The average weight of A, B and C is 75 kg. If the average weight of A and B be 88 kg and that of B and C be 72 kg, then the weight of B is: Select the correct option:
A) 60 kg
B) 59 kg
C) 62 kg
D) 63 kg
E) 61 kg

Solution: EXPLANATION   Let A, B, C represent their respective weights. Then, we have:   A + B + C = (75 x 3) = 225 â€¦. (i)   A + B = (88 x 2) = 176 â€¦. (ii)   B + C = (72 x 2) = 144 â€¦.(iii)   Adding (ii) and (iii), we get: A + 2B + C = 288 â€¦. (iv)   Subtracting (i) from (iv), we get : B = 63.   Bâ€™s weight = 63 kg.   Answer 63 kg
Answer: D
Tough and Tricky questions: Work/Rate Problems.
If it takes 60 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?	Choose the correct choice from the following choices.
A) 40/3
B) 11
C) 6
D) 7/3
E) 9/7

Solution: 60 Workers = 3 hours then,   1 Worker = 3*60 Hours   30 Workers = (3*60) /(30)= 
(3*60) /(30) = 6
6 Answer.6
Answer: C
A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work , how much time shall B take to do it ?  Pick.
A) 30 days B) 35 days C) 40 days D) None of these E) Cannot be determined

Solution: Solution   Suppose B taken x days to do the work.   ∴ A takes (2 x 3/4x) =2x/2 days to do it.   (30 days + B)'s 1 days work = 1/8.<p>   therefore 1/x + 2/3x -1/18 or x</p>=30   30 daysnswer 30 days
Answer: A
A man has some hens and cows. If the number of heads be 50 and the number of feet equals 140, then the number of hens will be:	Choose the most appropriate option.
A) 22 B) 23 C) 24 D) 30 E) 28

Solution: let hens be x and cows be y   now,   feet: x*2+y*4=140   heads: x*1+y*1=50   implies, 2x+4y=140 and x+y=50   solving these two equations, we get x=30 and y=20   Therefore, hens are 26.   ANSWER:30
Answer: D
There is a five-digit number. The fifth digit is one fourth of the third digit and one half of the fourth digit. Third digit is one half of the first digit. Second digit is 5 more than the fifth digit. What is that 5-digit number?	Choose the correct choice from the following choices:
A) 86421	B) 86424	C) 89421	D) 96421	E) 76421

Solution: we can prove it as follows   suppose number is pqrst, now   t=(1/4)r=(1/2)s......(1),r=(1/2)p.....(2),q=t+5....(3)   now from (1)4t=r=2s=k(suppose)....(4)   from (2) 2r=p...(5)   now(4)*2 then we get 8t=2r=4s=k(again some integer)....(6)   from (5) and (6)   8t=2r=4s=p=k.........(7)   now we have to choose the value of k   1)if choose k=0 then it is worthless number will be 00000(not a answer)   2)for k=1 to 7 and for k=9 digits will be in fractions   3)for k=8 we get p=8,s=2,r=4,t=1 and q=6   and number is pqrst=86421   86421NSWER:86421
Answer: A
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b+d?  Choose the correct choice from the following answers:
A) 23
B) 24
C) 25
D) 26
E) 27

Solution: In the original question, we're told that, when a is divided by b the remainder is 13   So, b must be greater than 13.   In other words, b COULD equal 14, 15, 16, 17, ....   We're also told that, c is divided by d the remainder is 12   So, d must be greater than 12.   In other words, d COULD equal 13, 14, 15, 16, ....   So, the smallest possible value of b+d is 14+13   In other words, b+d COULD equal 27   Answer:27
Answer: E
The age of Somu is one-third his father's. 10 years back he was one-fifth of his father's age. What is his persent age ?
Choose the correct choice.
A) 11	B) 13	C) 14	D) 12	E) 20

Solution: Explanation :   Let Somu's age be x and that of his father be 3x.   So, x - 10 = 3x - 10/5 = x = 20   Answer : Option 20
Answer: E
A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?	Pick one:
A) 35 min  B) 36 min  C) 37 min  D) 39 min  E) 45 min

Solution: at start one person will tell to 2 persons, it will take 5 min, now that  1+2= 
 1+2 = 3
3 persons will tell this to next 6 persons, then 1+2+6= 
1+2+6 = 9
9 persons will tell to next 18 persons, then 1+2+6+18= 
1+2+6+18 = 27
27 persons to 54 similarly   1+2+6+18+54= 
  1+2+6+18+54 = 81
81 persons will tell this to 162 persons similarly  1+2+6+18+54+162= 
 1+2+6+18+54+162 = 243
243 persons will tell this to 486 persons, upto this step total persons who have listened this secret= 2+6+18+54+162+486= 
2+6+18+54+162+486 = 728
728, and total time taken upto this step= 5*6= 
5*6 = 30
30 min, now next 5 min will be sufficient to tell this message to next 40 persons so total time taken= 35 min   35 minNSWER:35 min
Answer: A
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 12 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?	Choose the correct option
A) 19:2  B) 18:3  C) 11:1  D) 11:5  E) 11:4

Solution: Quantity of alcohol in vessel P = 62.5/100 * 2 = 15/2 litres   Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres   Quantity of alcohol in the mixture formed = 15/2 + 7/2= 
15/2 + 7/2 = 11
11 litres   As 16 litres of mixture is formed, ratio of alcohol and water in the mixture formed= 11 : 5   Answer:11:5
Answer: D
Look at this series: J14, L16, __, P20, R22, ... What number should fill the blank? Choose the correct answer: A) S24 B) N18 C) M18 D) T24 E) T28

Solution: In this series, each set contains alphabet and numbers.   Alphabet increasing by 2alphabets : J L N P R   Numbers increasing by 2 : 14 16 18 20 22   Finally : J14 L16 N18 P20 R22   ANSWER:N18
Answer: B
After decreasing 24% in the price of an article costs Rs.1140. Find the actual cost of an article?
Options:
A) 1500
B) 6789
C) 1200
D) 6151
E) 1421

Solution: CP* (76/100)   = 1140   CP= 15 * 100 => CP   = 1500   1500nswer: 1500
Answer: A
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choose the correct choice from the following:	A) 2888	B) 2690	C) 2668	D) 9261	E) 2312

Solution: A = 8000(21/20)3 = 9261.Answer:9261
Answer: D
A farmer is planting a row consisting of 3 unique apple trees and 4 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Select:
A) 288	B) 576	C) 1,024	D) 1,152	E) 10,080

Solution: 2 possible arrangements are possible   288O288O288O288O   O288O288O288O288   2 unique type of trees are present consisting of 4 trees each   3 apple trees can be arranged in 4! ways   4 orange trees can be arranged in 4! ways   as 2 arrangements are possible   total arrangements = 2 *3! * 4! = 288   correct answer option 288
Answer: A
Two trains of equal lengths take 10 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?  Pick one:
A) 13 sec	B) 12 sec	C) 16 sec	D) 15 sec	E) 18 sec

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/20= 
120/20 = 6
6 m/sec.   Relative speed= 12 + 6= 
12 + 6 = 18
18 m/sec.   Required time= (120 + 120)/18 = 13 sec.   13 secnswer:13 sec
Answer: A
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 90% total profit if he has already sold one of the four cars at Rs. 1.2 lakh? Choose the correct choice from the following:
A) 1.8 lakh
B) 1.5 lakh
C) 1.9 lakh
D) 8.1 lakh
E) 6.1 lakh

Solution: Explanation:   Total cost of 4 cars = 1+2= 
1+2 = 3
3 lakh   Total SP of 4 cars= 3 x 1.9 = 5.7 lakh   SP of 1 car = 1.2 lakh   SP of rest 3 cars = 5.7 - 1.2= 
5.7 - 1.2 = 4.5
4.5 lakh   Average SP of all the 3 cars= 1.5 lakh   Answer: 1.5 lakh)
Answer: B
Due to 10% decrease in the price of sugar and John can buy 2kg more sugar in Rs100 , then find the CP of sugar? Options.
A) s. 5(5/9)  B) s. 2(2/9)  C) s. 2(1/9)  D) s. 3(2/7)  E) s. 4(2/9)

Solution: Here r = 10 % ,x = 100 and A = 2 kg   Actual price of sugar = 10*100/((100-10 )*2) = Rs. 5(5/9)   s. 5(5/9)
Answer: A
Find the mean proportional between 36 & 49? Choose the correct choice from the following choices.
A) A)42
B) B)61
C) C)63
D) D)65
E) E)67

Solution: Formula = √a×b   42 = 36 and B = 49   √36×49 = 6 × 7 = 42   42
Answer: A
At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/3 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?
Answers.
A) 12 greater  B) 17 fewer  C) 92 fewer  D) 36 fewer  E) 44 fewer

Solution: Soln>> from the given ratio of 16:1 u can derive that ter are 480 students   KG= 1/3* 480= 
1/3* 480 = 160
160   5th and 6th graders= 1/3 * 384= 
1/3 * 384 = 128
128 (1/3 of remainder)   1st and 2nd grade= 1/4 * 480= 
1/4 * 480 = 120
120 ( 1/4 of all students)   equal number of students in 3rd and 4th=> 480 - 344= 
480 - 344 = 136
136 and   136/2= 
  136/2 = 68
68 each since equal number   (344 is the sum of remaining students)   thus   160-68= 
  160-68 = 92
92>>> therfore answer is 92 fewer   92 fewer
Answer: C
The area of a triangle is with base 4m and height 5m?
Choose the correct option: A) 11 B) 10 C) 288 D) 87 E) 22

Solution: 1/2 * 4 * 5= 
1/2 * 4 * 5 = 10
10 m2 ,Answer: 10
Answer: B
Rajan and Rakesh started a business and invested Rs. 20,000 and Rs. 25,000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Rajan?	Choose the correct choice from the following
A) 2000  B) 2100  C) 2200  D) 2300  E) 2400

Solution: Ratio of share of Rajan, Rakesh nd Mukesh => 20000:25000:15000   =>4:5:3   =>4*12 : 5*4 : 3*8 [Since Rakesh left after 4 months nd Mukesh joined after 4 months...]   => 12:5:6   Share of Rajan => 4600*12/23= 
4600*12/23 = 2_400
2400   ANSW2400R:2400
Answer: E
In a 200 Meter race A beats B by 35 Meters in 7 seconds. A's time over the cause is?
Select:  A) 47 sec  B) 40 sec  C) 45 sec  D) 33 sec  E) 35 sec

Solution: B covers 35m in 7seconds   B take time =(200*7)/35= 
(200*7)/35 = 40
40   A takes time=40-7= 
40-7 = 33
33 sec   ANSWER:33 sec
Answer: D
At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 15th highest price and the 22nd lowest price among the prices of the items sold, how many items were sold at the garage sale?	Options:
A) 34
B) 35
C) 36
D) 37
E) 38

Solution: There were 14 items sold at a higher price than the radio and 21 items sold at a lower price than the radio. Including the radio, there were 14 + 21 + 1= 
14 + 21 + 1 = 36
36 items sold.   The answer is 36.
Answer: C
If the average (arithmetic mean) of a and b is 110, and the average of b and c is 150, what is the value of a − c?  Select: A) −220 B) −100 C) 100 D) −80 E) It cannot be determined from the information given

Solution: Question: a - c = ?   (a + b)/ 2 =110 ===> a + b = 220   (b + c)/2 = 150 ===> b + c = 300   (a + b) - (b + c) = 220 - 300 ===> a + b - b - c = - 80 ===> a - c = - 80   Answer: −80
Answer: D
A mixture of 150 liters of wine and water contains 15% water. How much more water should be added so that water becomes 25% of the new mixture? Options:
A) 10
B) 30
C) 20
D) 15
E) 17

Solution: Number of liters of water in150 liters of the mixture = 15% of 150 = 15/100 * 150= 
15/100 * 150 = 45/2 = around 22.5
22.5 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (22.5 + P) and total volume of mixture is (150 + P).   (22.5 + P)= 25/100 * (150 + P)   90+4P = 150+P   P = 20 liters.   Answer: 20
Answer: C
If n = 5^11 – 5, what is the units digit of n?  Choose one:  A) 0  B) 1  C) 4  D) 6  E) 8

Solution: Always divide the power (incase 11) by 4 and use the remainder as the new power. The question now becomes 5^3 - 5. Now 5^3 has last digit 5. we subtract 5 from 5=0 is the answer. Option 0
Answer: A
A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet? Choose the correct choice from the following answers
A) 6 B) 7 C) 9 D) 2 E) 1

Solution: 9 a.m.   Answer:9
Answer: C
The length of a rectangle is reduced by 15%. By what % would the width have to be increased to maintain the original area?  Choices.
A) 10%  B) 20%  C) 17.6%  D) 30%  E) 35%

Solution: Sol. Required change = (15*100)/(100-15)=17.6%   17.6%
Answer: C