MU-NLPC/Calc-aqua_rat huggingface dataset:
At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 11. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 1 to 5. How many cooks does the restaurant have?	Choose the correct choice from the following options:
A) 4
B) 6
C) 9
D) 12
E) 15

Solution: Originally there were 3k cooks and 11k waiters.   The new ratio is 1:5 which equals 3:15.   15k = 11k+12   k=3   There are 9 cooks.   The answer is 9.
Answer: C
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?	Select the correct option:  A) 33  B) 77  C) 12  D) 88  E) 11

Solution: 100 ---- 200 ---- 4   400 ---- 4   800 ---- 4   ------   12 years   Answer: 12
Answer: C
How long does a train 150 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?  Choose the correct choice from the following:
A) 14.1 sec B) 12.1 sec C) 16.1 sec D) 13.1 sec E) 12.15sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 150 + 132= 
150 + 132 = 282
282 m.   Required time= 282/20= 
282/20 = 141/10 = around 14.1
14.1 sec.   14.1 secnswer:14.1 sec
Answer: A
The probability of rain showers in Barcelona on any given day is 0.6. What is the probability that it will rain on exactly one out of three straight days in Barcelona? Select
A) 0.144
B) 0.072
C) 0.432
D) 0.72
E) 0.288

Solution: IMO This is just for first day! It can rain on 2nd day or 3 rd day (and not rain on other days) in 3 consecutive days!   Hence,   0.6*0.4*0.4 + 0.4*0.6*0.4+ 0.4*0.4*0.6= 
0.6*0.4*0.4 + 0.4*0.6*0.4+ 0.4*0.4*0.6 = 0.288
0.288   Option - 0.288
Answer: E
How many days are there in x weeks x days ?	Choose the correct choice from the following answers
A) 7x2
B) 8x
C) 14x
D) 7
E) 8

Solution: Solution   x weeks x days = (7x+x) days = 8x days. Answer 8x
Answer: B
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 50 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Answers:
A) 8X/1	B) 13X/20	C) 80/9X	D) 20X/13	E) 80X/9

Solution: IMT = 0.25T   JI = 0.50 IMT   0.50 IMT = $x b   IMT = $x/(0.50) b   T = 4*IMT = 4x/0.50 = 4x*100/50 = 8x/1   8X/1ns: "8X/1"4 *100/50= 
4 *100/50 = 8
8x/1   8X/1ns: "8X/1"
Answer: A
The average height of 50 pupils in a class is 150 cm. Five of them whose height is 142 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Choose the correct choice from the following.
A) 287 cm	B) 151 cm	C) 151.4 cm	D) 287 cm	E) 297 cm

Solution: Total height = 150 * 50= 
150 * 50 = 7_500
7500 cm.   New average= [7500 - 5 * 142 + 5 * 156 ] / 50   = 151.4 cm.   Answer:151.4 cm
Answer: C
Juan is a gold medalist in athletics. In the month of May, if Juan takes 10 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Options:
A) 10x/y  B) 11x/y  C) 9x/y  D) 12x/y  E) 13x/y

Solution: velocity=distance/time;   since he ran at same rate both d tyms,   y/10=x/t   so t=10x/y   10x/yNSWER:10x/y
Answer: A
The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.8 kg. The weight of the new student is  Choose the most appropriate option:
A) 22 kg
B) 21.6 kg
C) 22.4 kg
D) 21 kg
E) None of these

Solution: Exp . The total weight of 29 students = 29* 28   The total weight of 30 students = 30* 27.8   Weight of the new student = ( 30*27.8 – 29*28)   = 834 - 812= 
834 - 812 = 22
22   22 kgnswer:22 kg
Answer: A
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 4 cups of tea. Last week Mo drank a total of 42 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week? Pick.
A) 0
B) 4
C) 5
D) 6
E) 7

Solution: T= the number of cups of tea   C= the number of cups of hot chocolate   T+C = 42 T-C=14 -> T= 28. C=14.   Mo drinks 4 cups of tea a day then number of days that are not rainy = 28/4= 
28/4 = 7
7   So number of rainy days= 7-7= 
7-7 = 0
0   0 is the answer.
Answer: A
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 2553, how much was it in the beginning? Choose the correct choice.
A) 2988  B) 2776  C) 4400  D) 2871  E) 3162

Solution: X * (95/100) * (85/100) = 2553   X = 3162   Answer:3162
Answer: E
Look at this series: 0.7, 2.1, ____, 18.9, 56.7, ... What number should fill the blank?	Choose the correct choice from the following answers.
A) 6.3 B) 5.3 C) 6.2 D) 6.1 E) 4.3

Solution: This is a simple multiplication series. Each number is 3 times greater than the previous number.   6.3nswer: 6.3
Answer: A
There are 11 software engineers and 7 civil engineers in a company. Theyare selecting member for row. In how many ways can they be seated in a row so that no two of the civil engineers will sit together?  Choose the correct option
A) 10!×11!/5! B) 9!×11!/4! C) 11!×12!/5! ways D) 9!×5!/4! E) 5!×6!/7!

Solution: 11 software engineers can be arranged in 11! ways. ...(A)   Now we need to arrange civil engineers such that no two civil engineers can be seated together. i.e., we can arrange 7 civil engineers in any of the 12 (=11+1) positions marked as * below.   * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 *   (where 1, 2… 11 represent software engineers)   This can be done in 12P7 ways. ... (B)   From (A) and (B),   required number of ways   = 11! × 12P7   =11!×12!/5!   11!×12!/5! ways
Answer: C
A train 1100 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?	Answers:
A) 288 m
B) 256 m
C) 200 m
D) 278 m
E) 287 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (1100 + x)/60   = 65/3   x = 200 m.   Answer:200 m
Answer: C
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?	Choose the correct choice from the following.
A) 624
B) 702
C) 756
D) 812
E) 832

Solution: Total men are 7   Total women are 6 so we select 5 peoples in both and at least 3 are men   7c3*6c2+7c4*6c1+7c5*6c0 then we get the 756   ANSWER:756
Answer: C
How many keystrokes are needed to type numbers from 1 to 1000? Choose the correct choice from the following:
A) 2704
B) 2890
C) 2893
D) 3001
E) None of these

Solution: 1-9   9 digits   10-99   There are 90 2-digit numbers   (90)(2) = 180 digits   100-999   There are 900 3-digit numbers   (900)(3) = 2700 digits   1000   4 digits    9 + 180 + 2700 + 4= 
 9 + 180 + 2700 + 4 = 2_893
2893   Answer: 2893
Answer: C
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by seven when k is any of the following values EXCEPT  Choose the correct option
A) -4 B) -2 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 3 if at least one multiple is divisible by 7. Now, to guarantee that at least one integer out of x, (x – 1), and (x – k) is divisible by 7 these numbers must have different remainders upon division by 7, 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 7.   Next, if k=2 then we'll have (x-1)x(x-2)=(x-1)x(x-2) --> which means that (x-1) and (x-2) will have the same remainder upon division by 7. Thus for k=2 we won't be sure whether (x-1)x(x-k) is divisible by 7.   Answer: 5.
Answer: E
The ratio, by weight, of coffee to mate to water in a certain cup of coffee is 6:2:15. The coffee is altered so that the ratio of coffee to mate is halved while the ratio of coffee to water is doubled. If the altered coffee will contain 16 grams of mate, how many grams of water does it contain after alteration? Choose the correct choice from the following options.
A) 12 B) 15 C) 30 D) 60 E) 100

Solution: c:m:w = 6:2:15   new c:m = 1/2(6/2) = 3:2   new c:w = 2(6:15) = 12:15 = 4:5   so new m:c:w = 2:3   4:5   = 8:12:15 ( notice how i combined the two ratios by multiplication by 3 and 4 of respective ratios)   m = 16 g   Let T = total amount of c + m + w then   8 / (8+12+15)T = 16 x 35/8 = 70g   then w = 15/35 x 70 = 30g   Answer 30
Answer: C
A 210 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?	Answers.
A) 290 B) 280 C) 270 D) 260 E) 250

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 210)/9 = 500/9 => x = 290.   290nswer: Option 290
Answer: A
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 10 multiples of 14, how many multiples of 7 are there in Q?
Answers.
A) 20 B) 19 C) 18 D) 17 E) 16

Solution: Halfway between the multiples of 14, there will be another multiple of 7.   The total number of multiples of 7 is  10+9= 
 10+9 = 19
19.   The answer is 19.
Answer: B
The price of stock decreased by 8% last year and rose by 10% this year. What is the net percentage change in the price of the stock?  Choose the correct choice
A) 0.2%
B) 0.8%
C) 1.2%
D) 1.6%
E) 2%

Solution: (100% - 8%) * (100% + 10%) = 0.92 * 1.10= 
0.92 * 1.10 = 1.012
1.012= 101.2%.   The net percentage change in the price of the stock is (+) 1.2%   The answer is 1.2%
Answer: C
A train is 360 meter long is running at a speed of 50 km/hour. In what time will it pass a bridge of 140 meter length.  Choose the most appropriate option.
A) 26 seconds  B) 36 seconds  C) 46 seconds  D) 56 seconds  E) None of these

Solution: Explanation:   Speed = 50 Km/hr = 50*(5/18) m/sec   = 125/9 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   =500/125/9 = 36 seconds   Answer: 36 seconds
Answer: B
Some people went for vacation. unfortunately it rained for 13 days when they were there. But whenever it rained in the morning, they had clean afternoon and vice versa. In all they enjoyed 11 morning and 12 afternoons. How many days did they stay there totally  Options
A) 16 days B) 17 days C) 18 days D) 19 days E) 15 days

Solution: Whenever it rains, it only rains half a day.... so look at this problem in half days.The family was rained on for 13 {half days}, but they also had 11 + 12 {half days} of sun.So, 13 + 11 + 12 = 36 half days = 18 days   ANSWER:18 days
Answer: C
400 students took a mock exam in Delhi, 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination? Pick one:	A) 50	B) 100	C) 120	D) 140	E) 180

Solution: 60%*x+80%*(400-x)=65%*400   Ans=100   ANSWER:100
Answer: B
List I: 3, 6, 8, 11
List II: x, 3, 6, 8, 11 Choose the correct option:
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: List I has even number of terms, thus its median is the average of two middle terms (when arranged in ascending/descending order), so median=(6+8)/2= 
(6+8)/2 = 7
7.   List II has odd number of terms, thus its median is the middle term (when arranged in ascending/descending order). As no other number in the list equal to 7, then x=7.   Answer: 7.
Answer: C
Solve the quickfire maths brain teaser âˆš16% = ?
Choose the correct choice:
A) 30%
B) 40%
C) 85%
D) 19%
E) 29%

Solution: âˆš16%   => âˆš16/âˆš100   => 4/10   => 40/100   => 40%   40%
Answer: B
In how many ways letters of the word LEADER be arranged? Choose the correct answer:
A) 5
B) 78
C) 69
D) 58
E) 120

Solution: LEADER has 6 letters, out of which E repeated 2 times. Hence total ways = 6! / (2!) = 120 ways   120
Answer: E
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/8
II. 1/10
III. 1/11  Pick:
A) None  B) I only  C) III only  D) II and III only  E) II only

Solution: Since we summarize the reciprocals from 100 to 91, we can say also that we add ten numbers who are all (with one exception 1/100) greater than 1/100, so that the sum must be greater than 1/10.   On the other side we can say that we add the reciprocals from 91 to 100, so that the sum has to be less than the sum of ten times 1/91.   We can conclude that the sum has to be less than 1/9 but more than 1/10. That leaves us II only as the only possible answer.
Answer: E
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is	Select.
A) Rs. 9000	B) Rs. 9800	C) Rs. 9900	D) Rs. 9990	E) Rs. 10000

Solution: Sol. Income in first year = * x 42000 = Rs. 24000   Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)   = 66000 - S6000 = Rs. 10000   Rs. 10000
Answer: E
If a2 - b2 = 5 and a*b = 2, find a4 + b4.
Choices.
A) 50
B) 72
C) 25
D) 92
E) 33

Solution: a2 - b2 = 5 : given   a4 + b4 - 2a2b2 = 52 : square both sides and expand.   a*b = 2 : given   a2b2 = 22 : square both sides.   a4 + b4 - 2(4) = 25 : substitute   a4 + b4 = 33   correct answer 33
Answer: E
8 red card number 1-8 put in one box， 8 blue card number 1-8，put in another box, take one card from each of the box，what is the probability that the number match each other?	Choices.
A) 1/2 B) 1/4 C) 1/8 D) 1/16 E) 1/64

Solution: Probability to pick a number from the first box - any of the 8 = 1..   prob to pick the same number from the 2nd box = 1/8..   Prob = 1∗1/8=1/8   Answer:1/8
Answer: C
A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days M will the work get over? Choose the correct option:
A) 60  B) 70  C) M=75  D) 80  E) 100

Solution: We can also use the concept of man-days here   100 days -->10men so the job includes 100*10= 
100*10 = 1_000
1000 man-days   After 20 days   1/4 of Job is completed so 1/4 X 1000 man-days=250 man-days Job is done   Now the Balance Job=1000-250= 
1000-250 = 750
750 man-days worth of Job   Since 2 men are fired so B/L men=8   Therefore Total no. of days of Job=750 man-day/8 days = 375/4=94 days (approx.)   Now since this is total and Ques. is asking for additional no. of days,   So 94-20= 
94-20 = 74
74 days   The nearest approx. to answer is 75   Ans: M=75 (75 days)
Answer: C
A and B can finish a work in 16 days while A alone can do the same work in 20 days. In how many days B alone will complete the work?  Choose the correct choice from the following options.
A) 76 days
B) 48 days
C) 80 days
D) 31 days
E) 22 days

Solution: B = 1/16 – 1/20 = 1/80 => 80 days   Answer: 80 days
Answer: C
List L: ABC, BCA, CAB
In list L above, there are 6 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Choose the most appropriate option:
A) 47 B) 114 C) 152 D) 161 E) 488

Solution: Let's try to sum the 3 given numbers taking their place values into account:   (100A + 10B + C) + (100B + 10C + A) + (100C + 10A + B)   = 100(A + B + C) + 10(A + B + C) + (A + B + C)   = 111*(A + B + C)   We know 111 = 37 * 3 so the sum will certainly have 1, 3, 37 and 111 as factors. 1 + 3 + 37 + 111 = 152   Note: How do we know that (A + B + C) will not give us a factor that we get every time? Try and take a few cases where A, B and C have different characteristics e.g. case 1: they are all odd, case 2: they are all even with no multiple of 3 etc. We want to see if there are cases where (A+B+C) has no common factors with other cases.   Let's say A, B and C are all odd. 1+3+5 = 9. Factors 3 and 3   A, B and C are all even. 2+4+8 = 14. Factors 2 and 7   Other factors will depend on values of A, B and C. Hence there is no other factor which we MUST get.   488
Answer: E
Robert's salary was decreased by 60% and subsequently increased by 60%. how much percentage does he lose?  Choose the correct choice from the following answers:
A) 10%
B) 20%
C) 25%
D) 36%
E) 50%

Solution: let original salary be $100   Salary after decreasing 60% = 100 - 100 x 60/100 = $40   Salary after increasing 60% on $40 = 40 + 40 x 60/100 = $64   Percentage of loss = 100 - 64= 
100 - 64 = 36
36%   Answer : 36%
Answer: D
If 2x = 3y = 10, then 6xy = ?  Choose one:
A) 100
B) 200
C) 120
D) 40
E) 20

Solution: 2x = 10;x=5   3y = 10;y=10/3   Multiply: 6xy=6*5*10/3= 
6*5*10/3 = 100
100   100nswer: 100.
Answer: A
An investment of $1000 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $1000 increased to $4000 by earning interest. In how many years after the initial investment was made the $1000 have increased to $8000 by earning interest at that rate? Choose the correct choice from the following options
A) 16
B) 18
C) 20
D) 24
E) 30

Solution: Amount 1000 is invested for 12 yrs and yields 4000. Amount is compounded annually.   we need number of years it will take to yield 8000.   from 1000 to 4000 = 4 times   from 4000 to 8000 = 2 times.   if compounding is happening at same rate throughout, then   since, time required for 4 times = 12 yrs   =>time required for 2 times = 6 yrs   Total time from initial = 12+6= 
12+6 = 18
18 yrs   Ans 18.
Answer: B
When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $111.30, what was the total value of the item?  Choose one.
A) $2380  B) $2590  C) $2760  D) $2940  E) $3150

Solution: Let x be the value of the item.   0.07*(x-1000) = 111.30   x = 2590   The answer is $2590.
Answer: B
If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^3 > y III. x+y>z^4  Choose the correct choice from the following choices:
A) I only B) II only C) III only D) I,II only E) I,III only

Solution: Lets suppose that a,b,c can take any one of following three value 1,5,7. Most important point is that the options MUST BE TRUE under any condition.   x+y>z^4   Not necessarily true as 1+5<2401   xz>y^4   Not necessarily true as 1.7<625   We don't need to check option as all the options except B can be discarded.   Thus Answer II only
Answer: B
Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.  Pick:  A) a2 + 5ab + 6b2  B) (a + 3b)(a + 2b)  C) a(a + 3b) + 2b(a + 3b)  D) (3a + b)(a + 2b)  E) a(a + 2b) + 3b(a + 2b)

Solution: The other parts are equal to a2 + 5ab + 6b2.   Answer (3a + b)(a + 2b)
Answer: D
A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $55,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?
Select
A) $27,500
B) $35,000
C) $37,500
D) $42,500
E) $50,000

Solution: let x be the average of 40 customers   40*x + 10* 55000 = 50*45000   solving this we have x= 42500   Answer is $42,500.
Answer: D
ravi decides to walk from goregaon to andheri .he has reached his destination in 2 hr 15 min by 4 of the distance at 6 kmph and the rest at 8 mph . how far goregaon from andheri?	Select the correct option:
A) 11.6 km  B) 12.6 km  C) 13.6 km  D) 14.6 km  E) 15.6 km

Solution: covering 3/t1+t2=9/4 hr   (3x/4*6)+(x/4*8*1.609)=9/4   x=15.6 km   ANSW15.6 kmR:15.6 km
Answer: E
What is the value of 3x^2 − 1.8x + 0.6 for x = 0.6?  Pick one:
A) −0.3	B) 0.6	C) 0.3	D) 1.08	E) 2.46

Solution: 3x^2-1.8x+0.6 for x=0.6   =3(0.6*0.6)-3*0.6*(0.6)+0.6   =0+0.6= 
0+0.6 = 0.6
0.6   ANSWER:0.6
Answer: B
A person can row 750 metres against the stream in 11 ¼ minutes and returns in 7 ½ minutes. Then the speed of the person in in still water is :	Choose the correct choice from the following:
A) 2 km/hr  B) 3 km/hr  C) 4 km/hr  D) 5 km/hr  E) 6 km/hr

Solution: The speed in upstream = .75 * (4/45 )*60= 
.75 * (4/45 )*60 = 4
4 kmph   The speed in downstream= .75 *(2/15) *60= 
.75 *(2/15) *60 = 6
6 kmph   Speed in still water= ½(4+6) = 5 kmph   ANSWER:5 km/hr
Answer: D
A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?	Choose the correct choice from the following.
A) Rs.900	B) Rs.800	C) Rs.500	D) Rs.1000	E) Rs.1200

Solution: X * 4/5 * 80/100 = 576   X = 14400/16= 
14400/16 = 900
900   Rs.900NSWER:Rs.900
Answer: A
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
5 * 7 * 9 = 68
Then find,
7 * 9 * 11 =?
Answers
A) 106	B) 49	C) 68	D) 38	E) 55

Solution: 106   106   (11 * 9) + 7= 
(11 * 9) + 7 = 106
106
Answer: A
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 2. The numbers are  Choose the correct choice from the following answers
A) 12, 24, 30	B) 12, 24, 38	C) 12, 24, 362	D) 2, 4, 6	E) 12, 24, 321

Solution: Explanation:   Let the required numbers be x, 2x, 3x. Then, their H.C.F =x. so, x= 2   \inline \fn_jvn \therefore The numbers are 2, 4, 6   Answer: 2, 4, 6) 2, 4, 6
Answer: D
Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 10 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
Options:
A) 10.5	B) 15	C) 15.5	D) 30	E) 60

Solution: The time it takes Darcy to walk to work is (1.5/3)*60= 
(1.5/3)*60 = 30
30 minutes   The time it takes Darcy to take the train is (1.5/20)*60 + x= 4.5 + x minutes   It takes 15 minutes longer to walk, so 30 = 4.5 + x + 10   x=15.5 minutes   Answer: 15.5
Answer: C
In a flower shop there were 7 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is  Pick:  A) 12  B) 11  C) 14  D) 9  E) None of these

Solution: Answer   Now required average   = old average x Multiplicand   = 7 x 2 = 14   14orrect Option: 14
Answer: C
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Choose the correct choice from the following.
A) 30%
B) 33 1/3%
C) 37 1/2%
D) 40%
E) 50%

Solution: Initial solution => 8 kg (x:w :: 2.4:5.6)   After evaporation Initial solution => 6 kg (x:w:: 2.4:3.6)   New solution => 2 kg (x:w::0.6:1.4)   Mixing (Initial solution + New solution) => 6 kg (2.4:3.6)+ 2 kg (0.6:1.4) =   = 8 kg [(2.4+0.6) : (3.6+1.4)]   = 8 kg (x : water :: 3kg : 5 kg)   Hence % of x = 3/8 = 37.5%   ANSWER:37 1/2%
Answer: C
A man can do a piece of work in 7 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?
Choose one:
A) 5 B) 7 C) 15/2 D) 21/4 E) 18/5

Solution: Son's 1 day's work = (1/3)-(1/7) = 4/21   The son alone can do the work in 21/4 days   Answer is 21/4
Answer: D
The number of new words that can be formed by rearranging the letters of the word 'NOTE' is ?
Choose the correct option
A) 118
B) 290
C) 23
D) 120
E) 140

Solution: Number of words which can be formed   = 4! - 1 = 24 - 1= 
24 - 1 = 23
23.   Answer:23
Answer: C