MU-NLPC/Calc-aqua_rat huggingface dataset:
John makes $40 a week from his job. He earns a raise and now makes $60 a week. What is the % increase? Choose the most appropriate option:
A) 16%
B) 16.66%
C) 18%
D) 21%
E) 50%

Solution: Increase = (20/40)*100= 
(20/40)*100 = 50
50%.   50%
Answer: E
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $3420. What is the average monthly balance maintained by John in his
account during the year?  Choose the correct answer:	A) 2840	B) 5680	C) 6840	D) 7540	E) 17100

Solution: Soln:-   Bank balance is doubled with accumulation of interest to 3420..   this means INTEREST is   3420/2= 
  3420/2 = 1_710
1710 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 17100..   ANSW17100R:17100
Answer: E
If 14 lions can kill 14 deers in 14 minutes how long will it take 100 lions to kill 100 deers?  Choose the correct choice.
A) 1 minutes B) 14 minute C) 100 minutes D) 10000 minutes E) 1000 minutes

Solution: we can try the logic of time and work,our work is to kill the deers so 14(lions)*14(min)/14(deers)=100(lions)*x(min)/100(deers)hence answer is x=14   ANSWER:14 minute
Answer: B
The remainder obtained by the division of two numbers by a common divisor are 33 and 47 respectively. However when the sum of these two numbers is divided by the same divisor, the remainder obtained is only 30. What is the divisor?	Choose the correct choice.
A) 20
B) 30
C) 40
D) 50
E) 65

Solution: Remainders are 33 & 47. So directly rule out the possibility of the divisor being 20, 30 & 40   Option A, B, C ruled out   Consider option 50 - 50   50+33= 
50+33 = 83
83 & 50+47= 
50+47 = 97
97   83+97= 
83+97 = 180
180   180/50 gives remainder= 30   Answer = 50
Answer: D
jess bakes 5 biscuits for 5 friends. 3 of the friend arrive early and eat 3 biscuits each. How many biscuits are left over if the other friends all have the same number of biscuits? Choose the correct choice from the following options
A) 7
B) 1
C) 0
D) 3
E) 4

Solution: jess made 5*5= 
5*5 = 25
25 biscuits. 3 friends eat 3 biscuits, leaving 16 remaining for 2 friends.   16 divisible by 2.   0 is the correct answer
Answer: C
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Choose one
A) 37  B) 28  C) 30  D) 19  E) 12

Solution: Explanation:   There is a meal for 200 children. 150 children have taken the meal.   Remaining meal is to be catered to 50 children.   Now, 200 children = 120 men.   50 children = {\color{Blue} \left ( \frac{120}{200} \right )\times 50} =30men   Answer: 30
Answer: C
A dragon has 100 heads. A soldier can cut off 15, 17, 20 or 5 heads, respectively with one blow of his sword. In each of these cases, 24, 2, 14, 17 new heads grow on its shoulders. If all heads are cut off, the dragon dies. Can the dragon ever die?	Pick
A) 61
B) 3
C) 5
D) 6
E) 1

Solution: Here the difference in the cutoff heads and newly grown heads is 3. 100 is not divisible by 3. The dragon never die.   Answer:3
Answer: B
Find the next number in the series
1, 6, 13, 22, 33, ...... Options:
A) 44
B) 45
C) 46
D) 47
E) 48

Solution: 1+5= 
1+5 = 6
6   6+7= 
6+7 = 13
13   13+9= 
13+9 = 22
22   22+11= 
22+11 = 33
33   33+13= 
33+13 = 46
46   ANSWER:46
Answer: C
Which of the following is between 1/9 and 5/21?	Choose one.
A) 2/13 B) 3/8 C) 1/2 D) 5/8 E) 7/9

Solution: I see this as a POE (Process of Elimination) and Ballparking (Estimation) question. Not sure if this is the most efficient, but it worked:   1) I estimate 1/9 to be ~1/10 + (approximately slightly greater than 3/4)   2) I estimate 5/21 to be ~1/5+ (approximately slightly greater than 1/5)   3) So now I'm looking for an answer choice that is .1 < x < .2   2/13nswer 2/13 - 2/13 ~ ..15 which is greater than .1 and less than .2
Answer: A
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.12 of money?	Options.
A) 1200
B) 1992
C) 9921
D) 2798
E) 2789

Solution: P = 12(100/10)2   => P = 1200   1200nswer: 1200
Answer: A
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1620 are infected, how manyworkersinhabit the colony? Choose the correct choice from the following answers:
A) 1500
B) 2500
C) 2750
D) 3000
E) 3250

Solution: From two question we get wo equations:   (1) 0,3s + 0,14w = 1620   (2) s + w = 7000   From (2) we get w=7000-s   In (1) 0,3s + 980-0,14s= 1620   0,16s=640   64000:16= 4000 =s   In (2) 4000 + w = 7000   w= 3000 3000
Answer: D
The below sequence is a bit tricky. Can you solve it to find the next number?
7, 25, 325, 4325, ?
Pick one:
A) 29816 B) 38291 C) 54327 D) 38290 E) 55291

Solution: See the pattern. With every digit, the previous numbers are added after that digit   So the next number in the series is 54327   Answer : 54327
Answer: C
Which of the following fractions W, if written as a decimal, would have a 2 in the thousandths place ?
Choose the most appropriate option:
A) 3/11  B) 7/9  C) 1/8  D) 4/7  E) 1/6

Solution: (A) W=3/11 = 0.2727272727....   3/11nswer: 3/11
Answer: A
What will come in place of the question mark (?) in the following equation?
25(7.5) × 5(2.5) ÷ 125(1.5) = 5?  Choose the correct choice from the following answers
A) 16 B) 17.5 C) 8.5 D) 13 E) None of these

Solution: 25(7.5) × 5(2.5) ÷ 125(1.5) = 5?   or, 5(2 × 7.5) × 5(2.5) ÷ 5(3 × 1.5) = 5?   or 5(15) × 5(2.5) × 1⁄54.5 = 5?   or, 5(13)= 5? or, ? = 13   Answer 13
Answer: D
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?  Choose the correct choice from the following answers
A) 36	B) 67	C) 87	D) 56	E) 51

Solution: (3x-9):(5x-9)   = 9:17   x = 12 => 3x   = 36   36nswer:36
Answer: A
For 1rs 6p interest
wat will be for 1000rs? Choose one:
A) 45Rs  B) 50Rs  C) 40Rs  D) 30Rs  E) 60Rs

Solution: For 1rs , 4p interest   for 1000rs, x   x= 1000/1 * 6p ==> 6000 paise   To express in rs, 6000/100 = 60rs   ANSW60RsR:60Rs
Answer: E
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are Choose the correct choice from the following choices
A) 4, 8, 12
B) 5, 10, 15
C) 10, 20, 30
D) 12, 24, 36
E) None of these

Solution: Explanation:   Let the required numbers be x, 2x, 3x. Then, their H.C.F =x. so, x= 12   The numbers are 12, 24, 36. Answer: 12, 24, 36
Answer: D
if i sell two articles, one at 20% profit for rs.100 and the other at 20% loss for rs.100, what is my net profit/loss?  Choose the correct choice from the following choices
A) 4.16 profit  B) 4.00 loss  C) 8.33 profit  D) 8.33 loss  E) none

Solution: 20/100=(100-CP1)/CP1   20/100=(CP2-100)/CP2   CP1 = 500/6 = 83.33   CP2 = 500/4= 
500/4 = 125
125   Total CP= 208.33   Total SP = 200   Loss = 8.33   Loss % = Loss x 100 / CP   833.33/208.33   4.0004 % loss   ANSWER:4.00 loss
Answer: B
In a barrel of juice there is 30 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer? Pick.
A) 3:2.	B) 2:1.	C) 3:1.	D) 4:3.	E) 3:4

Solution: Price of 30 L juice= 3x   1L= 3x/30   Price of 80 L beer= 4x   1L= 4x/80   Ratio of 1 L price = 3x/30/4x/80= 2:1   2:1. is the answer
Answer: B
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Options
A) 2 years
B) 4 years
C) 6 years
D) 7 years
E) 6 years

Solution: Explanation:   Mother's age when Ayesha's brother was born = 36 years.   Father's age when Ayesha's brother was born = (38 + 4)= 
(38 + 4) = 42
42 years.   Required difference= (42 - 36)= 
(42 - 36) = 6
6 years.   Answer: Option 6 years
Answer: C
How many positive integers will divide evenly into 410?
Choose the most appropriate option.
A) 4  B) 6  C) 8  D) 12  E) 16

Solution: The question is asking how many factors 410 has.   410 = 2*5*41   The number of factors is 2^3 = 8   The answer is 8.
Answer: C
The sum of money at compound interest amounts to thrice itself in 5 years. In how many years will it be 15 times itself? Options
A) 8 years B) 9 years C) 10 years D) 25 years E) 3 years

Solution: 100 ---- 300 --- 5   600 --- 5   900 ---5   1200 ---5   1500--- 5   25 years   Answer: 25 years
Answer: D
If the Average (mean ) of 9 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choose the most appropriate option.
A) 8x B) 4x C) 5x/3 D) 3x/2 E) 3x/5

Solution: Let the 5 numbers be 1,2,3,4,5,..9 (since no restrictions are given). There mean is 4 (x).   Now the sum of greatest three would be 7+8+9= 
7+8+9 = 24
24   so the answer has to be 8x....that is option 8x
Answer: A
If there are 6 seats and 2 students, in how many ways can they be seated? Pick.
A) 25  B) 30  C) 35  D) 40  E) 45

Solution: The first student has 6 choices and the second student has 5 choices.   The number of ways to sit is   6*5= 
  6*5 = 30
30.   The answer is 30.
Answer: B
David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?	Choose the correct choice from the following answers:  A) 75  B) 77  C) 28  D) 29  E) 26

Solution: Explanation:   Average = (76 + 65 + 82 + 67 + 85 )/ 5 = 375/5= 
375/5 = 75
75.   75nswer: 75) 75
Answer: A
A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 11 hours longer than the first half, how many hours did it take the runner to run the second half?  Choose the correct choice from the following answers:  A) 14  B) 15  C) 18  D) 22  E) 33

Solution: The runner runs the first 20 miles at speed v and the second 20 miles at speed v/2.   The time T2 to run the second half must be twice the time T1 to run the first half.   T2 = 2*T1 = T1+11   T1 = 11 and so T2 = 22.   The answer is 22.
Answer: D
On a scale that measures the intensity of a certain phenomenon, a reading of f+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of f. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?  Choose the correct choice from the following answers
A) 5
B) 50
C) 10^5
D) 5^10
E) 8^10 - 3^10

Solution: To solve this problem we need to examine the information in the first sentence. We are told that “a reading of f + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of f.”   Let’s practice this idea with some real numbers. Let’s say f is 2. This means that f + 1 = 3. With the information we were given we can say that a reading of 3 is ten times as great as the intensity of a reading of 2.   Furthermore, we can say that a reading of 4 is actually 10 x 10 = 10^2 times as great as the intensity of a reading of 2.   Increasing one more unit, we can say that a reading of 5 is 10 x 10 x 10 = 10^3 times as great as the intensity of a reading of 2.   We have found a pattern, which can be applied to the problem presented in the stem:   3 is “one” unit away from 2, and thus a reading of 3 is 10^1 times as great as the intensity of a reading of 2.   4 is “two” units away from 2, and thus a reading of 4 is 10^2 times as great as the intensity of a reading of 2.   5 is “three” units away from 2, and thus a reading of 5 is 10^3 times as great as the intensity of a measure of 2.   We can use this pattern to easily answer the question. Here we are being asked for the number of times the intensity corresponding to a reading of 8 is as great as the intensity corresponding to a reading of 3. Because 8 is 5 units greater than 3, a reading of 8 is 10^5 times as great as the intensity corresponding to a reading of 3.   Answer 10^5.
Answer: C
Michelle leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Michelle, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Michelle is 30 km\hr, find the speed of his son.
Choices:  A) 15km/hr  B) 6 km/hr  C) 4.28 km/hr  D) 9 km/hr  E) 4.12 km/hr

Solution: Michelle leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Michelle, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Michelle is 30 km\hr, find the speed of his son.   The distance from home to school is 30 km. The round trip distance = 60 km. Because he returns home 15 minutes early, I thought it might be easier to break his trip up into 8 identical 15 minute blocks, each of which he traveled at 7.5 km/hour.   Because we are dealing with a round trip here, Michelle would have stopped 7.5 minutes short of the school. This means he traveled Distance=rate* time .5Km/hour*52.5 minutes or 26.25 KM. His son therefore traveled 3.75km/hour by the time he met his dad at 4:52.5. It took the son 52.5 minutes to travel 3.75 km. Because we are trying to find the son's rate per hour (i.e. 60 minutes) and we have his speed for 52.5 minutes it's best to convert to km/minute then multiply by 60 to get km/hour   3.75km/52.5 = .07 km/minute   .07km/minute*60 minutes = 4.28 km/hour.   Answer: C. 4.28 km/hr
Answer: C
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is? Choose the correct choice from the following:
A) 5 days B) 7 days C) 8 days D) 6 days E) 4 days

Solution: 2M + 3W ----- 35 h   4M + 4W ------- 21 h   7M -------? d   70M + 105W = 84M +84M   21W = 14M => 2M = 3W   4 * 35 = 7 * x => x = 20 hours   20/4= 
20/4 = 5
5 days   5 daysnswer:5 days
Answer: A
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.17 per cubic meter?	Choose the most appropriate option:
A) 2998
B) 2799
C) 2890
D) 1683
E) 2780

Solution: 22/7 * 14 * 3/2 * 3/2= 
22/7 * 14 * 3/2 * 3/2 = 99
99 m2   99 * 17= 
99 * 17 = 1_683
1683   Answer:1683
Answer: D
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a14?
Pick:  A) 100  B) 55  C) 27  D) 19  E) 1

Solution: As stated above, (a1+a2+a3......+a10)/10=10   therefore a1+a2+a3.......a14=196 (1)   using the same logic, we got a1+a2+a3..........+a13=169 (2)   (2)-(1) we got a14=27   27
Answer: C
If s and t are positive integers, and 3 is not a factor of t, then t may be which of the following?
Choose the correct choice from the following options:
A) (s−1)·s·(s+1)  B) (s−3)·(s−1)·(s+1)  C) (s−2)·s·(s+2)  D) (s−1)·s·(s+2)  E) (s−3)·(s+1)·(s+2)

Solution: Plugged in values :   let s=5   A. (s−1)·s·(s+1) --> divisible by 3   B. (s−3)·(s−1)·(s+1) --> divisible by 3   C. (s−2)·s·(s+2) --> divisible by 3   D. (s−1)·s·(s+2) --> not divisible. Hence the answer.
Answer: D
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following E must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.
Choices:	A) I only	B) II only	C) III only	D) I and III only	E) E=None of the above

Solution: Condition 3 can be invalidated by: (1, 3, 4, 5)--median is equal to average of 1 and 5 and average is greater than 3.   Then, don't conditions 1 and 2 have to occur simultaneously? I reasoned this based on the word... maybe that's incorrect.   Even if not, we can rule them both out. So, E=None of the above.
Answer: E
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Pick:
A) 3 days B) 4 days C) 5 days D) 6 days E) 7 days

Solution: Explanation:   1/7 + 1/14 + 1/28 = 7/28 = 1/4 => 4 days   Answer: 4 days
Answer: B
What least no. must be subtracted from 101054 so that remaining no.is divisible by 10?
Pick
A) 6
B) 4
C) 8
D) 5
E) 3

Solution: Explanation:   On dividing 101054 by 10 we get the remainder 4, so 4 should be subtracted   Option 4
Answer: B
In triangle PQR, the angle Q = 90 degree, PQ = 7 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ	Select the correct option.
A) 5.6 cm	B) 2.4 cm	C) 4.8 cm	D) 2.16 cm	E) 3.2 cm

Solution: Look at the diagram below:   Now, in case when QY is perpendicular to PR, two right triangles PQR and PQY are similar: QY:QP=QR:PR --> QY:7=8:10 --> QY=5.6.   5.6 cmnswer: 5.6 cm.
Answer: A
What is y if y + 2x = 10 and x = 3? Choices
A) A)10  B) B)8  C) C)6  D) D)4  E) E)2

Solution: y = 10 - 2x   y = 10 - 8.= 
10 - 8. = 2
2   Answer : 4
Answer: D
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choose the correct choice from the following answers.
A) 276
B) 299
C) 322
D) 345
E) 367

Solution: the numbers are (23 x 13) and (23 x 14).   Larger number = (23 x 14) = 322.   Answer: Option 322
Answer: C
Find the average of all numbers between 1 and 13 which are divisible by 2
Choose one: A) 15 B) 21 C) 25 D) 30 E) 35

Solution: Explanation:   Average=(2+4+6+8+10+12 )/ 2=42 / 2= 
42 / 2 = 21
21   Option 21
Answer: B
If x is equal to the sum of the integers from 30 to 40, inclusive, and y is the number of EVEN integers from 30 to 40, inclusive, what is the value of x+y ?
Choose the correct choice from the following.
A) 171 B) 281 C) 391 D) 591 E) 601

Solution: sum s= n/2{2a+(n-1)d} = 11/2{2*30+ (11-1)*1} =11*35= 
11*35 = 385
385=X   number of even number =( 40-30)/2 +1= 
( 40-30)/2 +1 = 6
6= Y   X+Y = 385+6= 
385+6 = 391
391   391
Answer: C
There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1 birch. By the end of the day they planted 2424 plants. How many birches were planted?  Choose one
A) 2
B) 5
C) 8
D) 6
E) 4

Solution: Let x be the number of roses. Then the number of birches is 24−x, and the number of boys is 3×(24−x). If each girl planted 3 roses, there are x3girls in the class.   We know that there are 24 students in the class. Therefore x3+3(24−x)=24   x+9(24−x)=3⋅24   x+216−9x=72   216−72=8x   1448=x1   x=18   So, students planted 18 roses and 24 - x = 24 - 18= 
24 - 18 = 6
6 birches.   correct answer is 6)6
Answer: D
A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
Choose the correct choice from the following options.
A) 10 : 5 : 4  B) 5 : 3 : 4  C) 3 : 4: 5  D) 6 : 10 : 5  E) None of these

Solution: Explanation :   Initial investment capital ratio of A and B = 3 : 5   Hence we can assume that initial capital of A and B are 3x and 5x respectively.   Amount that C invest after 6 months = 5x (Since it is equal to B's investment)   Ratio in which profit should be distributed after 1 year = 3x*12 : 5x * 12 : 5x*6   => 3*12 : 5*12 : 5*6   = 6 : 10 : 5. Answer : Option 6 : 10 : 5
Answer: D
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 36. Find the profit percentage?
Choose the correct choice:	A) 80%	B) 50%	C) 59%	D) 40%	E) 53%

Solution: L.C.M of 15 and 12   = 60   CP of 60 articles   = Rs. 100 (25 * 4)   SP of 60 articles   = Rs. 180 (36 * 5)   Profit percentage   = (180 - 100)/100 * 100= 
(180 - 100)/100 * 100 = 80
80%   80%nswer: 80%
Answer: A
If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 35x and 20y?  Select:
A) 5
B) 5(x – y)
C) 20x
D) 20y
E) 35x

Solution: Looking at the list of answer choices, there are some that we can quickly eliminate...   IF   X = 1   Y = 1   Then we have 35 and 20, so the GCD = 5   Eliminate A.   X = 20   Y = 1   Then we have 700 and 20, so the GCD = 20   Eliminate D.   X = 1   Y = 35   Then we have 35 and 700, so the GCD = 35   Eliminate E.   With the remaining 2 answers, we have to think a little more.   To get a simple example of 5(X-Y) to be the GCD, we probably need 35X to be ODD   IF...   X = 3   Y = 2   Then we have 105 and 40, so the GCD = 5   5(X-Y) = 5(3-2) = 5   This can ALSO be the GCD   Eliminate B.   ANSWER:20x
Answer: C
The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Pick
A) 20  B) 30  C) 38  D) 48  E) None of these

Solution: A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15   and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24   Therefore, A : B : C = 10 : 15 : 24   ∴ A : B : C = 10 : 15 : 24   Let the number be 10x, 15x and 24x.   Then, 10x + 15x + 24x = 98   or 49x = 98 or x = 2   ⇒ Second number = 15x = 15 × 2 = 30   Answer 30
Answer: B
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 6500, the number of valid votes that the other candidate got, was:
Choose the correct answer:
A) 2800  B) 2700  C) 2900  D) 2340  E) 2300

Solution: D   Number of valid votes = 80% of 6500 = 5200.   Valid votes polled by other candidate = 45% of 5200   = (45/100 x 5200) = 2340.
Answer: D
How many terminating zeroes R does 200! have?
Select the correct option.
A) 40	B) 48	C) 49	D) 55	E) 64

Solution: You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.49
Answer: C
75 men working 8 hours per day dig 50 m deep. How many extra men should be put to dig to a depth of 70 m working 6 hours per day?	Choose the most appropriate option:
A) 75  B) 45  C) 55  D) 65  E) 35

Solution: (75 * 8)/50   = (x * 6)/70   => x =140   140 â€“ 65   = 65   Answer: 65
Answer: D
Rates for having a manuscript typed at a certain typing service are $10 per page for the first time a page is typed and $5 per page each time a page is revised. If a certain manuscript has 100 pages, of which 30 were revised only once, 20 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?	Choose the most appropriate option
A) $1250
B) $1350
C) $1150
D) $1360
E) $1370

Solution: 50 pages typed 1x   30 pages typed 2x (original + one revision)   20 pages typed 3x (original + two revisions)   50(10)+30(10+5)+20(10+5+5)=500+450+400= 
500+450+400 = 1_350
1350   Answer - $1350
Answer: B
The water level in a reservoir has been dropping at the rate of 14 inches per day. Exactly 5 days ago, the water level was at w inches. What will be the water level exactly 3 days from now if the rate at which the level is dropping remains the same?
Choose the correct choice from the following:
A) w − 126 B) w − 56 C) w − 112 D) w + 14 E) w + 126

Solution: Drop=14 inches/day   5 Days ago=w, means now it's equal w-70 and in 3 days = w-70-42=w-112   Answer w − 112
Answer: C
If the sum of two numbers is 60 and the H.C.F and L.C.M of these numbers are 3 and 120 respectively, then the sum of the reciprocal of the numbers is equal to:
Select
A) 2/9  B) 4/5  C) 1/6  D) 6/6  E) 3/9

Solution: Let the numbers be a and b.   Then, a + b = 60 and ab = 3 * 120= 
3 * 120 = 360
360.   Required sum= 1/a + 1/b = (a + b)/ab = 60/360 = 1/6.   ANSWER:1/6
Answer: C