MU-NLPC/Calc-aqua_rat huggingface dataset:
At the end of year X, automobile installment credit accounted for 35% of all outstanding consumer installment credit. At that time automobile finance companies extended $40 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?  Choose the correct choice from the following answers
A) 120
B) 300
C) 401.36
D) 350.15
E) 342.86

Solution: System of Equations   a = (35/100) c   (1/3) a = 40 --> a = 120   Substitution   120 = (35/100) c   c = (100/35) 120   Answer   - 120/35 * 100   The Correct Answer is E.   - 342.86
Answer: E
One ball is picked up randomly from a bag containing 8 yellow, 7 blue and 6 black balls. What is the probability that it is neither yellow nor black?	Pick one
A) 1/3 B) 1/4 C) 1/2 D) 3/4 E) 1/5

Solution: Total number of balls, n(S) = 8 + 7 + 6= 
8 + 7 + 6 = 21
21   n(E)= Number of ways in which a ball can be selected which is neither yellow nor black   = 7 (∵ there are only 7 balls which are neither yellow nor black)   P(E) = n(E)/n(S)=7/21=1/3   1/3NSWER:1/3
Answer: A
The average of 11 numbers is 10.9. If the average of first six is 10.1 and that of the last six is 11.4 the sixth number is?	Choose the most appropriate option.
A) 9.5	B) 10	C) 10.5	D) 9.1	E) 12

Solution: Explanation:   1 to 11 = 11 * 10.9= 
11 * 10.9 = 119.9
119.9   1 to 6= 6 * 10.1= 
6 * 10.1 = 60.6
60.6   6 to 11= 6 * 11.4= 
6 * 11.4 = 68.4
68.4   60.6 + 68.4= 
60.6 + 68.4 = 129
129 – 119.9= 9.1   6th number = 9.1   Option 9.1
Answer: D
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 4 years? Select
A) 20300 B) 20400 C) 20730 D) 20500 E) 20600

Solution: Formula :   ( After =100 denominator   Ago = 100 numerator)   10000 Ã— 120/100 Ã— 120/100 Ã— 120/100 Ã— 120/100= 20730   20730
Answer: C
A is twice as good a workman as B and they took 10 days together to do the work B alone can do it in? Choose the correct choice from the following options
A) 25 days
B) 88 days
C) 30 days
D) 11 days
E) 13 days

Solution: W30 days = 2:1   2x + x = 1/10   x = 1/30 => 30 days   Answer: 30 days
Answer: C
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
Choose the correct choice from the following answers.
A) 1879 B) 7899 C) 4320 D) 1680 E) 1692

Solution: x Not younger_______ ↑   The last ball can be thrown by any of the remaining 6 players. The first 6 players can throw the ball in ⁶P₆ ways.   The required number of ways = 6(6!)   = 4320   Answer:4320
Answer: C
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.3, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?	Pick one:
A) $3.00
B) $20.75
C) $24.90
D) $42.75
E) $45.00

Solution: Let number of Apple , Orange , strawberry and grape candies be A, O ,S and G respectively .   A= 2O   S= 2G   A= 2S   A= 4G   A+O+S+G = 90   =>A + A/2 + A/2 +A/4 = 90   => 9A/4 = 90   => A = 40   O = 20   S = 20   G = 10   Cost of each candy = .3 $   Mininum amount of money required to guarantee that you would buy at least three of each type of candy   We can buy 40 Apple candies , 20 orange candies , 20 strawberry candies and 3 grape candies to ensure at least 3 of each type of candies .   Total = 83 candies   Amount required = 83 * .3= 
83 * .3 = 24.9
24.90 $   Answer $24.90
Answer: C
John.s car dealership contains m cars, 20% of which are minivans and 80% are sedans. Kevin's car dealership contains n cars, 40% of which are minivans are 60% are trucks. Larry's car dealership contains p cars, 50% of which are minivans and 50% of which are convertibles. If 25% of the m + n + p cars contained at the three dealerships are minivans, what is m in terms of n and p?
Answers.
A) n + 3p
B) 3n + 5p
C) 4n + 5p
D) (n+5p)/2
E) (4n+5p)/3

Solution: For this question algebraic ways is the easiest: 0.2m+0.4n+0.5p=0.25(m+n+p)--> m=3n+5p   Answer: 3n + 5p.
Answer: B
A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?	Choose the correct choice from the following choices:
A) 130
B) 155
C) 490
D) 140
E) 160

Solution: Explanation:   x - 35 = 80x/100   => x = 175   => 4x/5 = 4x175/5 = 140.   Answer 140
Answer: D
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?  Choose the correct option:	A) 6/18	B) 6/11	C) 6/68	D) 6/19	E) 6/12

Solution: Part filled by (A + 6/11 + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20   Part filled by C in 3 minutes = 3/10   Required ratio = 3/10 * 20/11 = 6/11   Answer:6/11
Answer: B
Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 05:00 and starts climbing at a constant pace. Ken starts climbing only at 07:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?
Choose one:
A) 13:00	B) 13:30	C) 14:00	D) 15:00	E) 12:00

Solution: Both Sari and Ken climb in the same direction.   Speed of Sari = 700/2= 
700/2 = 350
350 meters/hr (since she covers 700 meters in 2 hrs)   Speed of Ken= 500 meters/hr   At 8:00, distance between Ken and Sari is 700 meters. Ken needs to cover this and another 50 meters.   Time he will take = Total distance to be covered/Relative Speed = (700 + 50)/(500 - 350)= 
(700 + 50)/(500 - 350) = 5
5 hrs   Starting from 7:00, in 5 hrs, the time will be 12:00   Answer (12:00)
Answer: E
list of salaries of 8 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000 Pick one:
A) $28,000  B) $28,500  C) $30,200  D) $30,800  E) $31,500

Solution: Ordering the data from least to greatest, we get:   $27,000, $29,000, $30,000, $31,000, $32,000, $35,500, $40,000, $43,000   Since there is an even number of items in the data set, we compute the median by taking the mean of the two middlemost numbers.   $31,000 + $32,000 = $63,000   The median salary is $31,500.   $31,500
Answer: E
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.64, find the sum of money? Choose the most appropriate option
A) 328  B) 262  C) 72  D) 205  E) 267

Solution: 328:B:C = 100:65:40   = 20:13:8   8 ---- 64   41 ---- ? => Rs.328   328nswer: 328
Answer: A
3 persons (1 couple and 1 single) are seated at random in a row of 5 chairs. What is the probability that the couple does not sit together?
Choose the correct choice: A) 5/7 B) 4/5 C) 2/5 D) 3/5 E) 11/18

Solution: The single person is no different from an empty chair :lol:   Thus, there are 202=10202=10 ways to pick two chairs for the couple, but only 4 in which they sit together (CCEEE, ECCEE, EECCE, EEECC).   1 - 4/10 = 3/5 is the answer.3/5   _
Answer: D
The price of sugar is increased by 20%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is :
Choose one:
A) 1:3
B) 1:4
C) 1:6
D) 1:5
E) None

Solution: Explanation:   Reduction in consumption   =(20/120×100)%=50/3%   Reduction in consumption/Original consumption=(50/3×1/100)   =1/6=1:6   1:6orrect Option: 1:6
Answer: C
A Man can row upstream at 87kmph and downward stream at 47 kmph. Find Man's rate of the current	Choose the correct choice from the following options
A) 87km/hr  B) 20km/hr  C) 65km/hr  D) 2.8km/hr  E) 4.4km/hr

Solution: Rate of the current=1/2(87-47)km/hr   =20km/hr   correct option is :20km/hr
Answer: B
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?  Choose the correct choice from the following answers
A) 65 Kmph  B) 68 Kmph  C) 97 Kmph  D) 16 Kmph  E) 17 Kmph

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: 68 Kmph
Answer: B
The simple interest on a certain sum of money at the rate of 5% p.a. for 8 years is Rs. 840. At what rate of intrest the same amount of interest can be received on the same sum after 5 years.	Choose the correct choice from the following answers
A) 5% B) 6% C) 7% D) 8% E) 9%

Solution: Explanation:   Here firstly we need to calculate the principal amount, then we can calculate the new rate.   P=S.I.∗100 /R∗T   P=840∗100/5∗8   P=2100   Required Rate = 840∗100/5∗2100R=8%   Option 8%
Answer: D
Three interviewers, A, B, and C are interviewing 50 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 20 applicants, B admitted 22 applicants, and C admitted 20 applicants, at least how many applicants get the admission? Options:
A) 4 B) 0 C) 6 D) 8 E) 12

Solution: If A admitted 20 are overlapping with B admission of 22 But C does not overlap with anybody.   Then no student will get nod from all the 3.   Hence 0 student will get admission.   Answer : 0
Answer: B
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 2 different offices?
Select.
A) 10  B) 15  C) 14  D) 16  E) 18

Solution: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 2*2*2*2=2^4=16.   Answer: 16.
Answer: D
For how many values of N, is |||N - 5| -10| -5| = 2?
(Those ls are mods)	Choose the correct choice from the following answers
A) 0	B) 2	C) 4	D) 8	E) More than 8

Solution: I think its 8   |||N-5|-10|-5| =2   let |N-5| = a which makes above   ||a-10|-5| =2   let |a-10| = b which makes   |b-5| = 2   now for the above b can take 3, 7   for every b =3 a can have 13, 7   and for b = 7 a can have 17 and 3   so 'a' has four solutions 13, 7, 17 and 3   for a = 13; x has 18 or -8 thus has 2 for every combination hence 4x2 = 8   answer 8
Answer: D
Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 35 as remainder
Options:
A) 1235  B) 1456  C) 1567  D) 1678  E) 1631

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 35   5x = 1330   x = 266   Large number = 266+1365= 
266+1365 = 1_631
1631   1631
Answer: E
Praveen starts business with Rs.3780 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?	Choose the correct choice from the following options.
A) s.7500  B) s.8000  C) s.8500  D) s.9720  E) s.6000

Solution: Let Hari’s capital be Rs. x. Then, 3780 * 12/7x = 2/3   => 14x = 136080   => x = 9720.   ANSWER:s.9720
Answer: D
A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choose the correct answer.
A) 287  B) 350  C) 828  D) 277  E) 400

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/42 = 50/3   3x + 900 = 2200 => x = 400 m.   Answer: 400
Answer: E
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are?
Choose the most appropriate option:
A) 6	B) 5	C) 2	D) 7	E) 2

Solution: 5M = xW = 8B   5M + xW + 8B ----- 90 Rs.   5M + 5M + 5M ----- 90 Rs.   15M ------ 90 Rs. => 1M = 6Rs. 6nswer: 6
Answer: A
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?  Choose the correct choice from the following answers
A) 12
B) 88
C) 66
D) 44
E) 12

Solution: Initial average age of the 10 persons be P.   Age of the new person Q.   Sum of the ages of the initial 10 persons = 10P   New average = (P-3) 10(P-3) = 10P - 42 + Q => Q = 12   Answer:66
Answer: C
The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is
42, then average for last four matches is Choose the correct choice from the following answers:
A) 33.25 B) 32.25 C) 34.25 D) 34.5 E) None of these

Solution: Explanation:   =(38.9×10)−(42×6)4   =(1216−750)4=34.25   Answer: Option 34.25
Answer: C
If a is an even integer and b is an odd integer which of the following must be an even integer :  Choose one
A) a/b
B) ab
C) 2a+b
D) 2(a+b)
E) option A B and D

Solution: a=even = e.g 6   b= odd = e.g 3   A. even/odd for example  6/3= 
 6/3 = 2
2=even   B. even * odd = 6 * 3= 
6 * 3 = 18
18= even   C. 2*even + odd = even + odd = odd   D. 2(even + odd) = 2(odd) = even   Hence option A B and D it is.
Answer: E
a, b, c, and d are positive consecutive odd integers and a < b < c < d.
If you take away the last number from the square of the first number, you get a number that is three more than the sum of the last three numbers. What is the product of ac?
Choose the correct choice from the following answers
A) 35  B) 77  C) 101  D) 39  E) 18

Solution: aa - d = b + c + d + 3   Simplify: aa = b + c + 2d + 3   We know that aa is the square of an odd number. Here are some possibilities: 3x3 = 9, 5x5 = 25, 7x7 = 49, 9x9 = 81, 11x11 = 121.   We want to find a sequence where the following odd numbers are very close to the square.   The sequence 11, 13, 15, 17 won't work because 121 is much bigger than 45 (the sum of the other three).   The sequence 3, 5, 7, 9 won't work because 9 is much smaller than 21 (the sum of the other three).   The sequence 7, 9, 11, 13 puts us on the right track: 49 is not that much bigger than 33 (the sum of the other three). So let's try the rest of the equation:   49 = 9 + 11 + 13x2 + 3   Simplify: 49 = 20 + 26 + 3   Add: 49 = 46 + 3   Add: 49 = 49   Done! The sequence is 7, 9, 11, 13. The question asked for the product of ac, or 7x11 = 77 (option 77).
Answer: B
The averge score of a cricketer for ten matches is 41 runs. If the average for the first six matches is 35. Then find the average for the last four matches? Choose the correct answer:	A) 50	B) 55	C) 60	D) 45	E) 48

Solution: sum of last 4 matches = (10 × 41) – (6 × 35)=200   50verage =200/4= 
200/4 = 50
50   50NSWER:50
Answer: A
A worker is paid a regular rate of Rs.10 for completing a survey. The worker completes 50 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 30% higher than her regular rate. If she completed 35 surveys involving the use of her cellphone, how much did she get that week?
Choose the correct answer:  A) 605  B) 505  C) 105  D) 100  E) 200

Solution: earning 35 surveys using her cell phone = 13*35= 
13*35 = 455
455   balance 15 surveys= 10 x 15 = 150   Total = 455+150= 
455+150 = 605
605   605nswer : 605
Answer: A
Along a yard 255 metres long, 18 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees Choose the correct choice from the following options: A) 18 B) 15 C) 10 D) 11 E) 12

Solution: Explanation:   18 trees have 17 gaps between them,   Required distance (281/17) = 15   Option 15
Answer: B
Lucas and David are partners in a business, they invested Rs. 30,000 and Rs. 45,000 respectively.If the business yielded a total profit of Rs. 18,500, what is David's share? Select:
A) 13400  B) 11520  C) 15700  D) 11100  E) 11142

Solution: Explanation:   Ratio of their shares = 30,000 : 45,000 = 2 : 3.   David's share = Rs. (18,500 * 3/5) = Rs. 11100.   Answer: 11100) 11100
Answer: D
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 46 years now, the son's age five years back was?  Choose the correct choice from the following answers:	A) 16 years	B) 14 years	C) 18 years	D) 19 years	E) 15 years

Solution: Let the son's present age be x years.   Then, (46 - x) = x   2x = 46 => x = 23   Son's age 5 years back = (23 - 5)= 
(23 - 5) = 18
18 years.   Answer: 18 years
Answer: C
If a and b are positive integers such that a/b = 2.86, which of the following must be a divisor of a?
Choose the correct option.
A) 10	B) 13	C) 18	D) 26	E) 50

Solution: a/b = 2.86   a/b = 286/100   a/b = 143/50   a = 143/50*b   We require to find from the available 5 options that must be a divisor of a"   This also means which of the following 5 options can divide 143 evenly   (Ignore b as its value unknown; Ignore 50 as in denominator)   Only option B = 13 best fits in   10nswer = 13   10NSWER:10
Answer: A
A metallic sheet is of rectangular shape with dimensions 50 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is: Choose the correct option:
A) 5440
B) 5120
C) 6420
D) 7500
E) 8960

Solution: l = (50 - 16)= 
(50 - 16) = 34
34 m,   b= (36 -16)= 
(36 -16) = 20
20 m,   h= 8 m.   Volume of the box = (34 x 20 x 8) m3 = 5440 m3.   5440nswer: Option 5440
Answer: A
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:  Select the correct option:
A) 49 m2 B) 50 m2 C) 53.5 m2 D) 55 m2 E) 57 m2

Solution: Area of the wet surface	= [2(lb + bh + lh) - lb]   = 2(bh + lh) + lb   = [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m2   = 49 m2.   49 m2nswer: Option 49 m2
Answer: A
A monkey ascends a greased pole 18 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?  Choose the correct choice from the following options:
A) 21st	B) 22nd	C) 33rd	D) 24th	E) None of these

Solution: In 2 minutes, he ascends = 1 metre   âˆ´ 16 metres, he ascends in 32 minutes.   âˆ´ He reaches the top in 33rd minute.   Answer 33rd
Answer: C
If u r genius solve it:-
50 * 15 = 12
40 * 14 = 11
30 * 13 = ?  Choose the correct choice:  A) 2  B) 12  C) 6  D) 8  E) 10

Solution: Logic :   50*15= 
50*15 = 750
750=7+5+0= 
7+5+0 = 12
12   40*14= 
40*14 = 560
560=5+6+0= 
5+6+0 = 11
11   So 30*13= 
30*13 = 390
390=3+9+0= 
3+9+0 = 12
12   Answer : 12
Answer: B
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?	Choose the correct choice:
A) 21
B) 77
C) 99
D) 17
E) 13

Solution: Let the pipe B be closed after x minutes.   30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16   => x = 14/16 * 24= 
14/16 * 24 = 21
21.   Answer: 13
Answer: E
Five little kids were walking down the street. At a shop, they saw three brands of chocolates viz. Cadbury, Nestle and Ferrero there. The shopkeeper has three chocolates which are of three different flavors of each brand. The kids bought all the chocolates available and decided to play a game. The chocolates will be distributed only to the winners of that game. Also they have decided that any winner cannot have all three brands of chocolates as his prize. Find the number of ways in which the chocolates can be distributed when there are four winners of the game and the best of them gets at least 4 chocolates?	Options:  A) 12312  B) 22536  C) 4320  D) 11268  E) 45072

Solution: Since, one child cannot have more than two brands of chocolates, therefore, one child can get a maximum of six chocolates.   When there are four winners, the winners can have the chocolates in the following possible way   Case I   One of them gets six chocolates and the other three get one each.   The one who gets six chocolates can be selected in 4C1 ways and he will get any two brands out of three in 3C2 ways.   The three chocolates of the same brand will be distributed among the other three in 3! ways.   Hence, the total number of ways = 4 × 3 × 6 = 72   Case II   One of them gets 5 chocolates, one of them gets 2 chocolates and the other two get 1 each.   Kid with 5 chocolates:   The one who gets five chocolates can be selected in 4C1 ways and he will get any two brands out of three in 3C2 ways.   After choosing the two brands (say AB), he can get all three chocolates of one brand in 2 ways (i.e. either A or B). The other two chocolates can be chosen from the second brand in 3 ways. Thus, there are 4 × 3 × 2 × 3 = 36 ways   Kid with 2 chocolates:   This person can be chosen in 3 ways. Now, he can either get two chocolates from the same brand or from two different brands.   Thus, there are 6 × 3 = 18 ways   Kids with 1 chocolate each   The remaining chocolates can be distributed between the two remaining winners in 2 ways.   Therefore, total number of ways = 36 × 18 × 2 = 1296 ways.   Case III   Similarly for four chocolates the following combinations are possible:   a) 4 3 1 1   The number of ways = 4 × 3 × [{6 × 3(1 + ( 6 + 3))} + {1 × 9 × 3 (1 + 6)}] × 2 = 8856   b) 4 2 2 1   The number of ways = 4 × 3 × [{6 × 3(2 × 6 × 3 + (3 + 9))} + {9 × (9 + 9)}] = 12312   Since, the best of them can’t have less than 4 chocolates the above are the only cases applicable.   Hence, the total number of ways = 72 + 1296 + (8856 + 12312)= 
72 + 1296 + (8856 + 12312) = 22_536
22536.   answer 22536
Answer: B
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?	Choose the correct choice from the following options.
A) 7% B) 5% C) 9% D) 4% E) 1%

Solution: Explanation:   SP of first article = 1000   Profit = 20%   CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3   SP of second article = 1000   Loss = 20%   CP = (SP)*[100/(100-L)] = 5000/4= 
5000/4 = 1_250
1250   Total SP= 2000   Total CP = 2500/3 + 1250 = 6250/3   CP is more than SP, he makes a loss.   Loss = CP-SP = (6250/3)- 2000 = 250/3   Loss Percent = [(250/3)/(6250/3)]*100 =   0.04 * 100= 
0.04 * 100 = 4
4%   Answer: 4%
Answer: D
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.3 m and its walls are 5 cm thick. The thickness of the bottom is:  Choose the correct answer
A) 90 cm  B) 3 dm  C) 1 m  D) 1.1 cm  E) None of these

Solution: Explanation:   Let the thickness of the bottom be x cm.   Then , [(330 - 10) × (260 - 10) × (130 - x)] = 8000 × 1000   => 320 × 250 × (130 - x) = 8000 × 1000   => (130 - x) = 8000×1000/320=   100   => x = 30 cm = 3 dm.   Answer: 3 dm
Answer: B
A man sells a horse for Rs.680 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?  Choose the most appropriate option.
A) 287
B) 679
C) 780
D) 860
E) 898

Solution: 780P = SP + 1780P = SP - g   680 + x = 980 - 2x   3x = 300 => x   = 100   780P = 680 + 100= 
680 + 100 = 780
780   Answer:780
Answer: C
John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
Choose the correct choice from the following answers:
A) 30	B) 40	C) 50	D) 55	E) 70

Solution: Let distance be D.   We can find the total time & equate it, which comes as:   0.8D / 80 + 0.2D / v = D / 60   => v = 30   30NSWER:30
Answer: A
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is? Choose the correct choice from the following answers
A) 60 gallons B) 100 gallons C) 120 gallons D) 180 gallons E) 130 gallons

Solution: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40   Volume of 1/40 part = 3 gallons\   Volume of whole = 3 * 40= 
3 * 40 = 120
120 gallons.   ANSWER:120 gallons
Answer: C