MU-NLPC/Calc-aqua_rat huggingface dataset:
In how many ways 4 boys and 4 girls can be seated in a row so that boys and girls are alternate?  Choose the correct choice from the following options.
A) 1152  B) 1987  C) 2012  D) 1856  E) 2546

Solution: number of ways = 2*4!*4! = 1152   1152nswer is 1152
Answer: A
The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 5 seconds than it was moving after 3 seconds?  Choose the correct answer:
A) 4 B) 9 C) 15 D) 20 E) 63

Solution: Given: z=s^2+2s for 0≤s≤7   z(3) = 3^2 + 2*3 = 15   z(5) = 5^2 + 2*5 = 35   Therefore z(7) - z(3) = 35 - 15= 
35 - 15 = 20
20 km/hr   Option 20
Answer: D
A college starts from 10 AM continues till 1:30 PM. In this duration there are five periods. If 5 minutes are provided before each period to leave the room and enter the other, then what is the duration of each period? Choose the correct choice from the following
A) 38 min B) 41 min C) 40 min D) 42 min E) 52 min

Solution: before first period no need to leave the room and enter the room.   so,for 5 periods 4 times 5 minutes break will be provided. that is 20 mins.   10 A.M-1:30 P.M=210mins    210-20= 
 210-20 = 190
190   therefore  190/5= 
 190/5 = 38
38 mins.   38 minNSWER:38 min
Answer: A
John has taken four (4) tests that have an average of 90. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?	Select
A) 81 B) 90 C) 82 D) 94 E) 97

Solution: Traditional Method:   Total scored till now 90*4= 
90*4 = 360
360   Total score to avg 87 in 6 tests= 87*6= 
87*6 = 522
522   Total to be scored on 2 tests= 522-360= 
522-360 = 162
162   81vg on 2 tests= 162/2= 
162/2 = 81
81   81nswer: 81
Answer: A
A man buys an article for $20. and sells it for $25. Find the gain percent?
Choose the most appropriate option
A) 25%	B) 50%	C) 20%	D) 15%	E) 30%

Solution: C.P. = $20   S.P. = $25   Gain = $5   Gain% = 5/20 *100= 
5/20 *100 = 25
25%   25%nswer is 25%
Answer: A
The distance between Delhi and Mathura is 185 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?  Choose the correct option:  A) 10.50 a.m.  B) 11.40 a.m.  C) 10.30 a.m.  D) 11.50 a.m.  E) 1.40 a.m.

Solution: D = 185 â€“ 20 = 165   RS = 20 + 25= 
20 + 25 = 45
45   T= 165/45 = 3 2/3 hours   8 a.m. + 3 hrs 40 min = 11.40 a.m.   ANSWER:11.40 a.m.
Answer: B
A car runs at the speed of 50 km per hour when not serviced and runs at 60 kmph when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced?	Choices
A) 8 hours 12 minutes  B) 6 hours 15 minutes  C) 8 hours 15 minutes  D) 7 hours 12 minutes  E) None

Solution: Explanation :   Time = 60*6 / 50 = 7 hours 12 mins   Answer – 7 hours 12 minutes
Answer: D
Answer: Option D
Explanation:	Choose the correct choice:
A) 11 3/3
B) 11 3/8
C) 11 3/2
D) 11 3/7
E) 11 3/1

Solution: (x – 5)/15 + x/20 = 1   x = 11 3/7 days   Answer: 11 3/7
Answer: D
A train 300 m long, running with a speed of 54 km/hr will pass a tree in? Choose the correct option:
A) 17 sec  B) 16 sec  C) 20 sec  D) 14 sec  E) 12 sec

Solution: Speed =54 * 5/18= 
54 * 5/18 = 15
15 m/sec   Time taken= 300 * 1/15= 
300 * 1/15 = 20
20 sec   Answer: 20 sec
Answer: C
A fort of 3000 soldiers has provisions for 75 days. After 15 days some of them left and the food was now enough for the same period of 75 days as before. How many of them left?
Choose the correct choice from the following options:
A) 500
B) 550
C) 600
D) 650
E) 700

Solution: 2000 ---- 50   3000 ---- 60   x ----- 75   x*75 = 3000*60   x=2400   3000   -------   600   Answer: 600
Answer: C
P can do a certain work in 9 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job? Pick one
A) 60/9 B) 45/8 C) 30/7 D) 25/6 E) 18/4

Solution: Each day, P can do 1/9 of the work.   Each day, Q can do 1.6/9 of the work = 16/90 of the work   The time taken by B alone to complete the total work is 90/16 = 45/8 days.   The answer is 45/8.
Answer: B
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 26,000 is made?	Choose one:
A) 328897
B) 122000
C) 877888
D) 277768
E) 188871

Solution: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000   SP such that a profit of Rs. 26,000 is made = 96,000 + 26,000 = Rs. 1,22,000   Answer: 122000
Answer: B
The L.C.M. of two numbers is 60. The numbers are in the ratio 2 : 3. Then sum of the number is:
Choose the most appropriate option.
A) 28  B) 32  C) 40  D) 53  E) 50

Solution: Let the numbers be 2x and 3x.   Then, their L.C.M. = 6x.   So, 6x = 60 or x = 10.   The numbers are 20 and 30.   Hence, required sum = (20 + 30)= 
(20 + 30) = 50
50.   Answer: Option 50
Answer: E
The sum of the present ages of a father and his son is 57 years. Six years ago, father's age was four times the age of the son. After 6 years, son's age will be:  Choose the correct choice from the following answers
A) 17 B) 18 C) 19 D) 20 E) 21

Solution: Let the present ages of son and father be x and (57 - x) years respectively.   Then, (57 - x) - 6 = 4(x - 6)   51 - x = 4x - 24   x = 15   The son's age after 6 years will be 21.   The answer is 21.
Answer: E
Hari and Giri started a business by investing Rs.45000 and Rs.54000 respectively. What is the share of Giri out of annual profit of Rs.13200 ?  Select:	A) 6000	B) 5400	C) 6200	D) 7200	E) 8200

Solution: Investment Ratio = Profit Sharing Ratio.   Ratio of Investments Hari : Giri = Rs.45000 : 54000 => 5 : 6.   Giri share =   13200   × 6 / 11 = Rs.7200   Hari share =   13200 × 5 / 11 = Rs.6000   Option 6000
Answer: A
If mno < 0 and no > 0, which of the following must be positive?  Choose the correct answer:	A) xy	B) xz	C) (m^2)no	D) m(n^2)o	E) xy(z^2)

Solution: Given that no is positive and mno is negative, you can say that m MUST be negative. As for n and o either they are both positive or both negative.   Option (C) has m^2 which is positive and no which is positive. So ((m^2)no) must be positive.
Answer: C
The points A(0, 0), B(0, 4a - 2) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?	Select.
A) 58  B) 70  C) 63  D) 65  E) 72

Solution: 1/2bh=1/2(2a+1)(2a+6)   Now 4a-2=2a+6   2a 4 -2= 
 4 -2 = 2
2a+6   2a=8 . a=4   Therefore,   A(0,0); B(0,14); 63(9,14)   1/2*9*14= 
1/2*9*14 = 63
63   Answer: 63
Answer: C
On increasing the price of T.V. sets by 60%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?
Choices
A) 4 B) 5 C) 56 D) 28 E) 7

Solution: Explanation:   Let the price be = Rs.100, and number of units sold = 100   Then, sale value = Rs.(100 × 100) = Rs.10000   New sale value = Rs.(160 × 80) = Rs.12800   Increase% = 2800/10000 × 100 = 28%   Answer: 28
Answer: D
A box contains SEVEN bulbs out of which 3 are defective. If THREE bulbs are chosen at random, find the probability that atleast one bulb is good?	Choose the correct choice from the following answers:
A) 32/33	B) 35/36	C) 37/39	D) 34/39	E) 34/35

Solution: Required probability= 1- 3C3/7C3= 1 - 1/35= 34/35Answer:34/35
Answer: E
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?	Choose the correct choice from the following:  A) 2 1/4  B) 3 1/4  C) 4 1/3  D) 6 1/2  E) 8 1/2

Solution: P ---- 2P ---- 8 years   2 1/4 P ---- 10 years   2 1/4NSWER 2 1/4
Answer: A
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Choose the correct option:
A) 5/5
B) 5/9
C) 5/3
D) 5/2
E) 5/1

Solution: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.   Thus   6 * 5 * 4= 
  6 * 5 * 4 = 120
120 favourable cases.   The total cases are   6 * 6 * 6= 
  6 * 6 * 6 = 216
216.   The probability= 120/216 = 5/9.   Answer: 5/9
Answer: B
A watch passes through three hands and each person gains 25%. If the third person sells it for $312.50, what did the first person pay for it?	Choose the correct choice from the following: A) $148 B) $152 C) $156 D) $160 E) $164

Solution: 1.25*1.25*1.25 * original price = 312.5   (5/4)^3 * original price = 312.5   original price = 64*312.5 / 125= 
64*312.5 / 125 = 160
$160   The answer is $160.
Answer: D
Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 6 hours?  Choose the correct option.
A) 675 B) 750 C) 1,800 D) 1,350 E) 7,500

Solution: 8 machines/ 360 cans = 5 machines/ x cans   8x= 1800   x=225   (225)(6 hours)= 1350 cans. The answer is 1,350.
Answer: D
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?  Pick.
A) Rs.500
B) Rs.1190
C) Rs.1200
D) Rs.163
E) Rs.897

Solution: Explanation:   S.P. = 85% of Rs. 1400 = Rs(85/100*1400)=Rs.1190   ANSWER:Rs.1190
Answer: B
A number is doubled and 9 is added. If resultant is trebled, it becomes 51. What is that number  Select the correct option:
A) 4
B) 10
C) 12
D) 14
E) 15

Solution: Explanation:   => 3(2x+9) = 51   => 2x+9 = 17   => x = 4   4nswer: Option 4
Answer: A
8 years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the time of his child's birth was.If the difference between the age of her child and herself was 26 years?  Choose the correct answer
A) 16 years
B) 26 years
C) 36 years
D) 66 years
E) 86 years

Solution: Since we know that the difference b/w the age of any two persons remains always constant, while the ratio of their ages gets changed as the time changes.   so, if the age of his child be x (presently)   Then the age of wife be x + 26 (presently)   Thus the total age = x + ( x + 26) = 32 [\inline \because  252-220= 
 252-220 = 32
32]   Rightarrow x= 3   age of her child is 3 years and her self is 29 years. Hence her age at the time of the birth of her child was 26 years.   Answer: 26 years
Answer: B
What percent of a day is 8 hours?  Options.
A) 12% B) 12.5% C) 33.3% D) 11.3% E) None of these

Solution: Explanation :   Solution: required percentage = (8/100 * 24) = 33.3%   Answer : 33.3%
Answer: C
A new savings account offers 7 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000?  Answers:
A) $80.00
B) $84.40
C) $360.00
D) $6,360.00
E) $6,427.35

Solution: The interest is compounded every 6 months. To calculate interest, you must take the principal and multiply it by the interest and the length of time (using the unit used in the interest, typically years). At the end of the first 6 months the interest earned is $6,000(.07) (1/2) = $210. (Note: the 6 months are “1/2” in the equation since 6% is a yearly rate, not a bi-yearly one).   Since the interest is compounded, the second six months of the year are not earning interest on just the original $6,000, but on the interest as well, so they are actually earning interest on $6,210. The interest earned during the final 6 months of the year is $6,210(.07)(1/2) = $217.35. Therefore, the total balance is the original amount ($6000) + $210 + $217.35 = $6,427.35.   The correct answer is $6,427.35.
Answer: E
One used-car salesperson receives a commission of $ 600 plus 4 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?  Pick one:  A) $ 5,000  B) $ 6,000  C) $ 8,000  D) $ 10,000  E) $ 12,000

Solution: This question can be solved by TESTing THE ANSWERS.   We're given the pay rate of two different salespeople who sell cars:   1) A commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price.   2) A straight commission of 6 percent of the car’s final sale price.   We're asked for the final sale price of a car if both salespeople would earn the SAME commission for selling it?   Let's TEST Answer B: $6,000   1st salesperson = $200 + .04(6,000 - 1,000) = $200 + .04(5,000) = $200 + $200 = $400   2nd salesperson 200 +  200= 
200 +  200 = 400
$400   2nd salesperson= .06(6,000) = $360   These totals are NOT the same, so we can eliminate B. Looking at the two pay 'formulas', we can see that the 2nd salesperson will make more money than the 1st when the price of the car increases to a significant level, so we need a price that is HIGHER than $6,000. Since the difference in pay is relatively small in Answer B, we're likely looking for a number that is fairly close to $6,000 though...   Let's TEST Answer C: $8,000   1st salesperson = $200 + .04(8,000 - 1,000) = $200 + .04(7,000) = $200 + $280 = $480   2nd salesperson 200 +  280= 
200 +  280 = 480
$480   2nd salesperson= .06(8,000) = $480   These totals are the SAME, so this must be the answer.   Final Answer:   $ 12,000
Answer: E
In how many ways can the letters C, A, A, R, W, A be arranged so that the three A's are not next to each other?
Select:
A) 36	B) 48	C) 72	D) 96	E) 128

Solution: 1 C   3 A   1 R   1 W   Number of ways these letters can be arranged = 6!/3! (3! to account 3 same As) = 120   Consider 3 As as 1 entity and thus the number of arrangements for (AAA)CRW = 4! = 24   Total allowed cases = 120-24= 
120-24 = 96
96   96 is the correct answer.
Answer: D
If 4 men working 10 hours a day earn Rs. 600 per week, then 9 men working 6 hours a day will earn how much per week?	Answers.
A) Rs 840	B) Rs 320	C) Rs 810	D) Rs 680	E) None of these

Solution: Explanation :   (Men 4:9) : (Hrs/Day 10:6) :: 600 : x   hence 4 * 10 *x = 9 * 6 * 600   or x = 9*6*600/ 4*10 = 810   Answer : Rs 810
Answer: C
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?  Pick:
A) 18:11  B) 18:18  C) 18:10  D) 18:12  E) 18:14

Solution: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.   18:11 : B   8000*18 : (8000*4) + (4000*14)   14400 : 88000   18:11:B = 18:11   18:11nswer: 18:11
Answer: A
Two vertical ladders length of 6 m and 11 m are kept vertically at a distance of 12 m. Find the top distance of both ladders?	Choose the correct option
A) 22  B) 27  C) 13  D) 19  E) 17

Solution: So distance between the top points = AD = 122+52−−−−−−−√=13122+52=13   So in paper B he did well.   Answer:13
Answer: C
judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 7th position from either end of the row.
Can you find out how many girls are practicing together? Choose one.
A) 4  B) 9  C) 13  D) 16  E) 18

Solution: As judith is 7th from either end of the row, it means that 6 girls are on one of her sides and 6 are present on the other.   6 + 6 + 1(judith herself) = 13.   Hence, 13 girls are practicing the dance together.   correct answer is 13)13
Answer: C
If a shoppkepper has two type of rice. One at Rs 50/- and another at Rs 80/- . He mixed the rice at 2:1 ratio. Find the average price of the mixture. Select.
A) 75
B) 65
C) 60
D) 50
E) 55

Solution: Ratio = 2x:x, Total quantity=50*2x+80*x=180x   Average price=180x/(2x+x)=60   ANSWER:60
Answer: C
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 480 m, its area is?  Choose the most appropriate option
A) 150
B) 240
C) 277
D) 261
E) 281

Solution: 5x + 12x + 13x = 480 => x = 16   a = 80, b = 192, c = 208   S = (80 + 192 + 208)/2= 
(80 + 192 + 208)/2 = 240
240   Answer: 240
Answer: B
Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter? Options.
A) 20	B) 25	C) 30	D) 35	E) 40

Solution: For these type of questions, use the formula 7x/4 =[sum of ages] where x is the age of elder.   2)7x/3 = [sum of ages] whr x is the age of younger. Here peter is elder is 7x/4=35. Solve you get x= 20   20NSWER:20
Answer: A
Tom wants to buy items costing $25.35, $80.69, and $85.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour.
Choose the correct choice from the following choices
A) 8 hours	B) 48 hours	C) 38 hours	D) 18 hours	E) 33 hours

Solution: $6.50 x .10 = $.65 is 10% of his hourly income   $  6.50 - .65= 
  6.50 - .65 = 5.85
$5.85 hourly amount available to spend   $25.35 + $80.69 + $85.96 = $192 total needed   $192 ÷ $5.85  25.35 +  80.69 +  85.96= 
 25.35 +  80.69 +  85.96 = 192
$192 total needed   $192 ÷ $5.85= 32.8... rounds to 33 hours   correct answer 33 hours
Answer: E
If a number p is prime, and 2p+4 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q?	Answers:
A) 1	B) 3	C) 5	D) 7	E) 9

Solution: 1/6 = 0.1666666... (a repeating pattern one digit long)   1
Answer: A
The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?	Choose one.
A) 4.5
B) 4.6
C) 4.7
D) 4.8
E) None of the above

Solution: Sum of the remaining two numbers   = (3.95 × 6) – [(3.4 × 2) + (3.85 × 2)]   = 23.70 – (6.8 + 7.7)   = 23.70 – 14.5 = 9.20   ∴ Required average = (9.2⁄2) = 4.6   Answer 4.6
Answer: B
If A got 60 marks and B got 30 marks, then what percent of A's mark is B's mark?	Pick:
A) A)60%
B) B)80%
C) C)65%
D) D)50%
E) of these

Solution: A's marks = 60 ; B's marks = 30.   Let x% of A = B => x/100 * 60 = 30   => x = (30 * 100)/60= 
(30 * 100)/60 = 50
50   B's marks is 50% of A's marks.   ANSWER:50%
Answer: D
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Choose the correct choice from the following answers.
A) 1677 B) 1683 C) 2523 D) 3363 E) 6546

Solution: L.C.M. of 5, 6, 7, 8 = 840. Required number is of the form 840k + 3 Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 x 2 + 3) = 1683. Answer : 1683
Answer: B
How many 6 letter words ( with or without meaning) can be formed using all the following 5 letters U,P,Q,R,S,and T so that letter P is to the left of letter R? Choose the correct option:
A) 160  B) 400  C) 300  D) 360  E) 320

Solution: Two positions can be selected out of 5 positions in 6C2 ways = 15 ways.   And the remaining 4 letters can be placed in 4 posions in 4! Ways = 24 ways.   So the final Answer = number of ways letters P and R can be arranged x number   of ways the other 4 letters can be arranged   Final Answer = 24 x 15 = 360 ways   360
Answer: D
A train after traveling 50 kms from A meets with an accident and proceeds at 4/5th of the former speed and reaches B, 45 min late. Had the accident happened 20 kms further on, it would have arrived 12 mins sooner. Find the original speed and the distance.
Choose the correct answer:  A) 5 hrs 30 mins  B) 5 hrs 33 mins  C) 5 hrs 36 mins  D) 4 hrs 33 mins  E) 6 hrs 33 mins

Solution: speed = 25 kmph and distance = 125 kms.   scheduled time = 5 hrs.   Time taken in first case = 50/25 + 75/20 = 2+3.75= 
2+3.75 = 5.75
5.75 hrs= 5 hrs 45 min   in second case, time taken = 70/25 + 55/20 = 111/20 hrs = 5 hrs 33 mins   ANSWER:5 hrs 33 mins
Answer: B
How long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length?  Choose the correct choice from the following:
A) 28 B) 16.0 C) 16.4 D) 16.8 E) 16.1

Solution: D = 110 + 170= 
110 + 170 = 280
280 m   S= 36 * 5/18= 
36 * 5/18 = 10
10   T= 280 * 1/10= 
280 * 1/10 = 28
28 sec   28nswer: 28
Answer: A
A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person reaches into the bag and picks out only purple jellybeans, how many jellybeans would the person have to pick out in order to double the probability that a jellybean picked out of the bag at random would be a green jellybean?	Select:	A) 5	B) 15	C) 19	D) 24	E) 25

Solution: Chances of picking a green at present = 15 / (26 + 15 + 9) = 15/50 = 3/10   So required is double that chance = 2 * 3/10 = 3/5   since only purple are removed, the new count be x, 3/5 = 15 (x + 15 + 9)   solving for x gives x = 1.   So 26 -1= 
26 -1 = 25
25 purple jellybeans needs to be removed.   Answer is 25
Answer: E
Carmelo and LeBron participate in a nine-person footrace on the basketball court during All-Star Weekend. If all nine contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?  Choices
A) 504020 B) 181440 C) 720 D) 120 E) 42

Solution: 9! = 362880   362880/2= 
362880/2 = 181_440
181440 half the time carmelo is in front, vice versa   Answer:   (181440) 181440
Answer: B
A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time E it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?	Choose the correct choice from the following answers
A) 0.8(80 – y)  B) 0.8 + 0.0025y  C) 80/y – 1.25  D) 80/1.25y  E) 80 – 0.25y

Solution: This may be a case of bad numberpicking but it worked for me.   80 houses. Let's say that y=40 houses are painted at the rate x=10 houses per week <=> 1/10 week per house. 40*1/10 = 4 houses per week will be painted at this rate.   80-y = 80-40= 
80-40 = 40
40 houses are to be painted at the faster rate. X*1,25=12,5 houses per week <=> 1/12,5 weeks per house * 40 houses = 40/12,5 = 80/25 = 320/100 = 3,2 weeks.   Which means finishing all houses at normal rate E=> 2*4= 
2*4 = 8
8 weeks. Faster rate= 4+3,2 = 7,2 weeks.   7,2/8 = 9/10 = 0,9. Insert y=40 in equations and it is clear that only (0.8 + 0.0025y) gives us 0,9.
Answer: B
A rectangular block 12cm by 36cm by 60cm is cut into an exact number of equal cubes. Find the least possible number of cubes?  Options:	A) 6	B) 10	C) 15	D) 40	E) 22

Solution: Volume of the block = 12*36*60= 
12*36*60 = 25_920
25920 cm^3   Side of the largest cube= H.15.F of 12,36,60 = 12cm   Volume of the cube = 12*12*12= 
12*12*12 = 1_728
1728 cm^3   Number of cubes= 25920/1728= 
25920/1728 = 15
15   Answer is 15
Answer: C
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many R cents does a liter of kerosene cost? [One dollar has 100 cents.]
Pick one:  A) 0.33  B) 0.44  C) 0.55  D) 44  E) 55

Solution: Main thing to remember is answer is asked in cents, however when we calculate, it comes up as 0.44 $   Just multiply by 100, Answer R= 44.44
Answer: D