MU-NLPC/Calc-aqua_rat huggingface dataset:
A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :
Select the correct option:
A) 8
B) 9
C) 4
D) 18
E) None

Solution: Ratio of rates of working of A and B = 2 : 1   So, ratio of times taken = 1 : 2   B's 1 day's work = 1/12   Therefore A's 1 day's work = 1/6   (A + B)'s 1 day's work =	(1/6	+ 1/12)= 1/4   So, A and B together can finish the work in 4 days.   Answer: 4
Answer: C
The edge of a cube is 2a cm. Find its surface?
Choose the correct choice.
A) 24a8  B) 24a4  C) 24a1  D) 24a2  E) 24a7

Solution: 6a2 = 6 * 2a * 2a = 24a2   Answer:24a26 * 2  * 2= 
6 * 2  * 2 = 24
24a2   Answer:24a2
Answer: D
If 20% of a number is equal to one-third of another number, what is the ratio of first number to the second number?	Pick one.
A) 2:5  B) 1:4  C) 5:3  D) 6:11  E) 2:3

Solution: Let 20% of A = 1/3 B   then 20A/100 = 1B/3   A/5 = B/3   A/B = 5/3   A:B = 5:3   Answer is 5:3
Answer: C
if (HE)^H=SHE,where the alphabets takes the values from (0-9) & all the alphabets are single digit then find the value of (S+H+E)  Choose the correct option:	A) 10	B) 13	C) 5	D) 19	E) data in sufficient

Solution: 25^2=625   6+2+5= 
6+2+5 = 13
13   ANSWER:13
Answer: B
Find the simple interest on Rs.580 for 11 months at 9 paisa per month?  Choose the correct choice from the following answers
A) 574  B) 270  C) 566  D) 266  E) 121

Solution: I = (580*11*9)/100 = 574   574nswer: 574
Answer: A
In how many ways can a cricket eleven be chosen out of a batch of 15 players.  Choose the correct choice from the following:  A) 1254  B) 1365  C) 1204  D) 5421  E) 1234

Solution: Required number of ways   = 15C 11 = 15C (15-11)   = 15 C 4   15C4 = 15 * 14 * 13 * 12 / 4 * 3 * 2 *1   = 1365   Ans: 1365
Answer: B
x^2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for b? Options:
A) 3  B) 6  C) 8  D) 12  E) 24

Solution: As 72 is positive either both roots are + or -   but as 'b' is +ve, both the roots carry same sign, i.e. +ve, and the factors are as below   72, 1   2, 36   4, 18   8, 9   24, 3   6, 12   ANSWER:12
Answer: D
A car covers a distance of 624 km in 6 ½ hours. Find its speed?
Choose the correct choice from the following options
A) 104 kmph
B) 194 kmph
C) 109 kmph
D) 174 kmph
E) 101 kmph

Solution: 624/6= 
624/6 = 104
104 kmph   104 kmphnswer:104 kmph
Answer: A
Two varieties of steel, A and B, have a ratio of iron to chromium as 5:1 and 7:2, respectively. Steel C is produced by mixing alloys A and B at a ratio of 3:2. What is the ratio of iron to chromium in C?
Choose the correct choice from the following choices
A) 17 : 73	B) 78 : 14	C) 45 : 30	D) 73 : 17	E) 4 : 9

Solution: In 6 parts of alloy A, 5 parts are iron, and 1 part is chromium.   In 9 parts of alloy B, 7 parts are iron and 2 parts are chromium.   First, to compare the two alloys, get the same number of parts in total - we can use 18. So we have:   In 18 parts of alloy A, 15 parts are iron and 3 are chromium.   In 18 parts of alloy B, 14 parts are iron and 4 are chromium.   So combining 3 of A with 2 of B, we'd be combining 45 and 28 parts of iron, or 73 parts of iron, with 9 and 8 of chromium, or 17 of chromium, so 73 to 17 is the answer.   ANSWER:73 : 17
Answer: D
A shipment of 7 television sets contains 2 black-and-white sets and 6 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?	Choose the most appropriate option
A) 1/7
B) 1/4
C) 6/21
D) 11/28
E) 13/28

Solution: I get 6/21, which is not in the answer choices.   the probability of getting at least one b/w TV is 1-(the probability of getting 2 color TVs)   1-6/21(6,2)/6/21(7/2)=6/21   6/21
Answer: C
If x, y, and z are positive integers and 2x = 4y = 5z, then the least possible value of x + y + z is	Pick one:	A) 40	B) 50	C) 55	D) 60	E) 19

Solution: given 2x=4y=5z   x+y+z in terms of x   = x+(2x/4)+(2x/5) = 38x/20=19x/10   now checking with each of the answers and see which value gives a minimum integer value.   A x = 10/19*40 , not an integer   B,C,E can be ruled out similarly.   D is minimum value as x = 19*10/19= 
19*10/19 = 10
10   Answer is 19
Answer: E
10^(65) Ã· 10^(64) = ?  Choose one.
A) 1	B) 10	C) 100	D) 1000	E) 10000

Solution: 10^(65) Ã· 10^(64) = 10^ (65-64) = 10^1   = 10   Answer : 10
Answer: B
If 4XZ + YW = 7 and XW + YZ = 14, what is the value of the expression (2X + Y)(2Z + W)? Answers
A) 9.
B) 12.
C) 35.
D) 16.
E) 18.

Solution: (2x+y)*(2z+w) = 7+2(14) =35   Answer : 35.
Answer: C
A and B invest 3,000 and 4,000 in a business. A receives 10 per month out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year ‘A’ totally receives 390, what does B receive?  Choose the correct choice
A) 375	B) 360	C) 350	D) 260	E) None of these

Solution: In a year, for A, total amount as a remuneration   = 10 × 12 = 120   ∴ Amount of A’s profit = 390 – 120 = 270   Ratio of investment = 3 : 4   Let total profit = x   Then, 360’s profit = (x – 270)   ∴ 3/3+4×x=270⇒ x = 630   ∴ 360’s profit = 630 – 270 = 360   Answer 360
Answer: B
Find the rate at Simple interest, at which a sum becomes four times of itself in 15 years. Choose the correct choice from the following.
A) 10%
B) 20%
C) 30%
D) 40%
E) 50%

Solution: Explanation:   Let sum be x and rate be r%   then, (x*r*15)/100 = 3x [important to note here is that simple interest will be 3x not 4x, beause 3x+x = 4x]   => r = 20%   Option 20%
Answer: B
Find a a prime number from the options below.
Choose the correct choice.
A) 37 B) 38 C) 39 D) 40 E) 42

Solution: Clearly, 37 is a prime number.   37
Answer: A
$ 3650 is divided among 4 engineers, 3 MBAs and 5 CAs such that 3 CAs get as much as 2 MBAs and 3 Engs as much as 2 CAs .Find the share of an MBA.
Pick one:
A) 400 B) 150 C) 250 D) 450 E) 350

Solution: 4E+3M+5C=3650   3C=2M, that is M=1.5C   3E=2C that is E=.66 C   Then, (4*0.66C)+(3*1.5C)+5C=3650   C=3650/12.166   C=300   M=1.5C   =450.   ANSWER : 450 450
Answer: D
The present population of a town is 4032. Population increase rate is 20% p.a. Find the population of town before 2 years?	Choose the correct choice: A) 2500 B) 2800 C) 3500 D) 3600 E) 2050

Solution: P = 4032   R = 20%   Required population of town = P/(1 + R/100)^T   = 4032/(1 + 20/100)^2   = 4032/(6/5)^2   = 2800(approximately)   Answer is 2800
Answer: B
If X is the sum of first 50 positive even integers and Y is the sum of first 50 positive odd integers, what is the value of x-y?  Choose the correct option
A) 0 B) 25 C) 50 D) 75 E) 100

Solution: First even minus first odd = 2-1= 
2-1 = 1
1;   The sum of first 2 even integers minus the sum of first 2 odd integers= (2+4)-(1+3)= 
(2+4)-(1+3) = 2
2;   The sum of first 3 even integers minus the sum of first 3 odd integers= (2+4+6)-(1+3+5)= 
(2+4+6)-(1+3+5) = 3
3;   ...   We can see the patterns here, so the sum of first 50 positive even integers minus the sum of first 50 positive odd integers will be 50.   Answer: 50.
Answer: C
The difference between the simple interest received from two different sources on Rs.1600 for 3 years is Rs.13.50. The difference between their rates of interest is	Choose one
A) 0.1% B) 0.28% C) 0.35% D) 0.42% E) 0.5%

Solution: (1600xR1x3)/100-(100xR2x3)/100 =13.50   4800(R1-R2)=1350   R1-R2 = 1350/4800=0.28%   answer : 0.28%
Answer: B
A cricket bat is sold for $900, making a profit of $75. The profit percentage would be
Pick one
A) 9% B) 12% C) 10% D) 36% E) 40%

Solution: 75/(900 - 75) = 75/825 = 0.9 bit more than 9%.   9%nswer: 9%
Answer: A
A train running at 25 km/hr takes 20 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.	Pick.
A) a) 200/3m175/3m B) b) 90m70m C) c) 50m45m D) d) 100/3 m200/3 E) e) none of these

Solution: Hi Math gurus correct me if I am wrong. I wondered i reached the answer mentioned here i.e 100m and 25m   lets solve it   To find out length of train the train, which is must cover the static point of the man as well as the distance covered the man during 12 sec.   The man covered the distance during 12sec is  5*5/20*12= 
 5*5/20*12 = 15
15m so the train covered a distance in 12 sec= 25*5/20*12= 
25*5/20*12 = 75
75   so the length of the train(Lt) is  15+75= 
 15+75 = 90
90m   Now crossing the platform means length of train+length of platform(Lt+p)= 20*25*5/20= 
20*25*5/20 = 125
125m Now the length of platform (Lp) is= 125-90= 
125-90 = 35
35m   So answer is 90m and 35m Must beb) 90m70meven though its mentioned 90m and 70m thinking so typo mistake...........
Answer: B
3x^2 + 5x - 2 =  Choose the correct choice from the following choices
A) (3x-1)(x+2) B) (3x-4)(x+2) C) (3x-4)(x-2) D) (3x-2)(x+4) E) none of above

Solution: 3x^2 + 5x - 2   = 3x^2 + 6x - x - 2   = 3x (x + 2) - (x+2)   = (3x-1) (x+2)   Option (3x-1)(x+2)
Answer: A
A farmer spent $33 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Choose the correct answer:
A) $36.30
B) $38.50
C) $39.20
D) $39.50
E) $40.60

Solution: A farmer spent 40% money on chicken feed, so he spent 0.4*$33=$13.2 on chicken feed, thus he spent the remaining 33-13.2 0.4* 33= 
 0.4* 33 = 13.2
$13.2 on chicken feed, thus he spent the remaining   33-13.2= 
  33-13.2 = 19.8
$19.8 on goat feed.   Now, since he bought chicken feed at a 20% discount then the original price of it was x*0.8=$13.2 --> x=$16.5.   Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent 16.5+19.8=$36.3.   $36.30nswer: $36.30
Answer: A
In a renowned city, the average birth rate is 7 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.  Choose the correct choice from the following
A) 172,700
B) 172,800
C) 172,900
D) 173,000
E) 173,100

Solution: This question can be modified so that the birth rate is given every m seconds and the death rate is given every n seconds.   For this particular question : Increase in the population every 2 seconds = 7-3= 
7-3 = 4
4 people.   Total 2 second interval in a day= 24*60*60/2 = 43,200   Population increase = 43,200 * 4 = 172,800. Hence 172,800.
Answer: B
Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 19008, how much amount per month would he have spent on clothes and transport?	Answers
A) 4038 B) 8076 C) 9691.2 D) 1584 E) 1625

Solution: ∵ Amount, he have spent in 1 month on clothes transport = Amount spent on saving per month   ∵ Amount, spent on clothes and transport   = 19008⁄12 = 1584   Answer 1584
Answer: D
A company produces 72000 bottles of water everyday. If a case can hold 9 bottles of water .How many cases are required by the company to hold its one day production Choose the most appropriate option:
A) 2000
B) 4500
C) 5000
D) 8000
E) 9000

Solution: Number of bottles that can be held in a case = 9.   Number of cases required to hold 72000 bottles = 72000/9= 
72000/9 = 8_000
8000 cases.   So the answer is 8000=8000
Answer: D
The expression 10^14−130 is divisible by all of the following integers EXCEPT
Choose the most appropriate option:
A) 9
B) 2
C) 4
D) 8
E) 11

Solution: Yeah. I agree this question has two answers which are (B) and (E). If 10 is power to odd number and equal or more than 5, then the answer choice (9) is correct.
Answer: A
If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?	Choose the correct choice
A) (3x + 2y)/5 B) (3x + 2y)/(x + y) C) (3x + 2y)/(xy) D) 5(3x + 2y) E) 3x + 2y

Solution: Total Cost = Weight(in pounds) * Price/pound;   To find Total cost/pound, Divide by total pounds.   Cost of Dried apricots = 3x;   Cost of prunes = 2y;   Cost per pound = (3x + 2y)/5;   (3x + 2y)/5ns is ((3x + 2y)/5).
Answer: A
A garrison of 400 men had a provision for 31 days. After 20 days 180 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?  Options.
A) 65 days B) 45 days C) 20 days D) 16 days E) 18 days

Solution: 400 --- 31   400 --- 11   220 --- ?   400*11 = 220*x => x =20 days.   Answer: 20 days
Answer: C
Cara and Dan race around a running track. Cara runs at a constant rate of one lap every 4 minutes and Dan runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Cara to get exactly one lap ahead of Dan?	Choose one:  A) 18  B) 20  C) 22  D) 24  E) 25

Solution: Let x be the number of minutes it takes for Cara to get one lap ahead.   Then Cara ran x/4 laps and Dan ran x/5 laps.   x/4 = 1+x/5   5x=20+4x   x=20   The answer is 20.
Answer: B
How many three digits odd numbers can be formed by using the digits 4,5,6,7,8,9 if the repetition of the digits not allowed?  Choose the correct choice from the following answers:	A) 60	B) 50	C) 40	D) 70	E) 30

Solution: For a number to be odd the unit place must be filled by the number 5,7 or 9 in 3 ways. Since the repetition of digits not allowed the ten's and hundred's place can be filled in by 5 and 4 ways respectively. So the required number of numbers =3*5*4= 
3*5*4 = 60
60. 60nswer : 60
Answer: A
The average length of the sides of triangle ABC is 12. What is the perimeter of triangle ABC?
Choose the correct choice from the following answers: A) 4 B) 6 C) 12 D) 24 E) 36

Solution: (average) = (perimeter)/3;   12 = (perimeter)/3;   (perimeter) = 36.   Answer: 36.
Answer: E
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?  Choose the correct choice from the following answers
A) 15 kmph  B) 40 kmph  C) 18 kmph  D) 19 kmph  E) 10 kmph

Solution: Speed downstream = 60 + 20= 
60 + 20 = 80
80 kmph   Speed upstream= 60 - 20= 
60 - 20 = 40
40 kmph   Answer:40 kmph
Answer: B
How many points are there on the globe where by walking one mile south, one mile east and one mile north you reach the place where you started. Choose the correct choice:
A) South Pole	B) North Pole	C) east Pole	D) west Pole	E) none

Solution: if you are standing on South Pole there is no going 1 mile South. I mean you are at the ultimate south.   So the answer should be only North Pole.   ANSWER:North Pole
Answer: B
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?  Options:
A) 6Rs B) 7Rs C) 8Rs D) 4Rs E) 1Rs

Solution: 5M = xW = 8B   5M + xW + 8B ----- 90 Rs.   5M + 5M + 5M ----- 90 Rs.   15M ------ 90 Rs. => 1M = 6Rs.   6Rsnswer:6Rs
Answer: A
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?	Choose one:
A) 21 B) 20 C) 99 D) 277 E) 12

Solution: Distance = Relative Speed * Time   = (2 + 3) * 4= 
(2 + 3) * 4 = 20
20 km   [ They are travelling in the opposite direction, relative speed= sum of the speeds].   Answer: 20
Answer: B
The price of a certain motorbike this year is $8,964, which is 8 percent greater than the cost of the motorbike last year. What was the price of the motorbike last year? Pick one:	A) $8,000	B) $8,100	C) $8,200	D) $8,300	E) $8,400

Solution: The price of the motorbike last year was $8,964/1.08=$8,300   The answer is $8,300.
Answer: D
A circular mat with diameter 1.4 inches is placed on a square tabletop, each of whose sides is 4 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Choose the most appropriate option:
A) 3/8
B) 7/8
C) 1/5
D) 3/7
E) 7/9

Solution: SO we are looking for the area of the cloth over the area of the table   3/8rea of the Cloth = (pi)(r)^2 which is about (22/7)(1.4)(1.4)   3/8rea of the Table = (4)(4)   So the quick way to estimate is looking at the fraction like this:6.16/16 nearest to 3/8   3/8nswer: 3/8
Answer: A
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choose the correct choice from the following choices:
A) 12.5%  B) 13%  C) 14.5%  D) 15%  E) 15.7%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.7 x 1.25 = 0.875   Decrease in price = (0.125/1) × 100 = 12.5%   12.5%)
Answer: A
A car covers a distance of 624 km in 6 ½ hours. Find its speed?	Choose the correct choice from the following answers.
A) 104 B) 7778 C) 266 D) 288 E) 121

Solution: 624/6= 
624/6 = 104
104 kmph 104nswer:104
Answer: A
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 16 more transactions than Cal. How much transactions did Jade handled?  Choose the correct choice from the following options
A) 33
B) 82
C) 67
D) 28
E) 18

Solution: Mabel handled 90 transactions   Anthony handled 10% more transactions than Mabel   Anthony = 90 + 90 × 10%   = 90 + 90 × 0.10   = 90 + 9= 
90 + 9 = 99
99   Cal handled 2/3rds of the transactions than Anthony handled   Cal= 2/3 × 99   = 66   Jade handled 16 more transactions than Cal.   Jade = 66 + 16= 
66 + 16 = 82
82   Jade handled= 82 transactions.   Answer:82
Answer: B
the cost price of 30 items is equal to the sale price of 40 items .What is percentage profit? Choose the correct answer:
A) 20% loss  B) 25% loss  C) 15% loss  D) 35% loss  E) 5% loss

Solution: this results in loss percentage not profit.   let cp of 1 item=1rp.   SP of 40 items=CP of 30 items=30   cp of 40 items=40   sp of 40 items-30   loss=cp-sp=10   loss percentage=(10/40*100)= 
(10/40*100) = 25
25%   ANSWER:25% loss
Answer: B
When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [5]*[4] = ?
Choose the correct choice:
A) [33]	B) [44]	C) [45]	D) [88]	E) [90]

Solution: [5]*[4]=(2*5+1)(4/2+1)   =[33].   [33]ns-[33]
Answer: A
What percent of a day is 8 hours?
Choose the correct choice from the following options:
A) 12Ã—1/2%  B) 16Ã—1/2%  C) 33Ã—1/3%  D) 22Ã—1/2%  E) None

Solution: Solution   Required percentage	= (8/24Ã—100)%   = (100 / 3)%.   = 33Ã—1/3%.   Answer 33Ã—1/3%
Answer: C
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?	Choose one:
A) 27/7 sec	B) 20/7 sec	C) 33/7 sec	D) 21/7 sec	E) 32/7 sec

Solution: B   20/7 sec   They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (54 + 72)*5/18 = 7*5= 
7*5 = 35
35 mps.   The time required= d/s = 100/35 = 20/7 sec.
Answer: B
Convert the 13/36 m/s into kilometers per hour? Choose the correct choice from the following choices.
A) 2.9 kmph B) 9.9 kmph C) 1.3 kmph D) 1.2 kmph E) 5.7 kmph

Solution: 13/36 m/s = 13/36 * 18/5 = 13/10= 
13/10 = 13/10 = around 1.3
1.3 kmph.   Answer: 1.3 kmph
Answer: C
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got Choose the correct choice from the following options
A) 55%  B) 56%  C) 57%  D) 58%  E) 59%

Solution: Explanation:   Total number of votes polled = (1136 + 7636 + 11628)= 
(1136 + 7636 + 11628) = 20_400
20400   So, Required percentage= 11628/20400 * 100= 
11628/20400 * 100 = 57
57%   ANSWER IS 57%
Answer: C
A4C,B9D,C16E,D25F,E36G,?
Choose the most appropriate option
A) F49G
B) H47J
C) F49H
D) H64I
E) G49I

Solution: A _ F49H = 2^2   B _ D = 3^2   F49H _ E = 4^2   D _ F = 5^2   E _ G = 6^2   2^2, 3^2 , 4^2 , 5^2 , 6^2 ---> As per this number sequence   => next number = 7^2 = 49   F _ H = 49 => F49H   ANSWER:F49H
Answer: C
A certain club has 12 members, including Harry. One of the 11 members is to be chosen at random to be the president, one of the remaining 10 members is to be chosen at random to be the secretary, and one of the remaining 9 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?  Choose the correct answer:
A) 2
B) 1
C) 1/6
D) 3/6
E) 5/6

Solution: Each member out of 12, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/12 and the probability that Harry will be selected to be the treasurer is also 1/12. So, the probability that Harry will be selected to be either the secretary or the the treasurer is 1/12+1/12=2/12.   Answer: 1/6.
Answer: C
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 2 a rupee. Find his net profit or loss percent?	Pick one:  A) 33 1/8 %  B) 100 %  C) 33 1/3 %  D) 33 5/8 %  E) 34 1/3 %

Solution: The total number of mangoes bought by the shopkeeper be 8.   If he buys 4 a rupee, his CP = 2   He selling at 2 a rupee, his SP = 4   Profit = SP - CP = 4 - 2= 
4 - 2 = 2
2   Profit Percent= 2/2 * 100= 
2/2 * 100 = 100
100 %   Answer: 100 %
Answer: B
A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hr?	Select:
A) 6 km/hr	B) 7.2 km/hr	C) 7.56 km/hr	D) 7.78 km/hr	E) 8 km/hr

Solution: Speed = 600 m/sec.   5 x 60   = 2 m/sec.   Converting m/sec to km/hr (see important formulas section)   = 2 x 18 km/hr   5   = 7.2 km/hr   7.2 km/hr
Answer: B
If 20 ounces of a strong vinegar solution are diluted with 60 ounces of water to form a six-percent vinegar solution, what was the concentration of the original solution? Choose one.
A) 15% B) 18% C) 20% D) 21% E) 24%

Solution: Let x be the concentration of the original solution.   20x = 0.06(80)   x = 0.24   The answer is 24%.
Answer: E
If the price of rice rises from Rs. 6 per kg to Rs. 8 per kg, to have no increase in his expenditure on rice, a person will have to reduce his consumption of sugar by Choose the correct choice from the following answers
A) 12 % B) 19 % C) 25 % D) 32 % E) 36 %

Solution: Explanation:   Let original consumption = 100 kg and consumption = y kg.   So, 100 x 6 = y x 8   y = 75 kg   Reduction in consumption = 25 %.   ANSWER: 25 %
Answer: C
A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed?.
Select the correct option:
A) 6kilometer/hour	B) 8kilometer/hour	C) 12kilometer/hour	D) 15kilometer/hour	E) None of these

Solution: Remaining distance = 3km and remaining time = (1/3*45)= 
(1/3*45) = 15
15minutes=1/4hour.   Required speed=(3*4)kilometer/hour=12km/hour.   12kilometer/hourorrect Option: 12kilometer/hour
Answer: C
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is? Choose the correct choice from the following: A) 1/26 B) 1/27 C) 1/22 D) 1/21 E) 1/29

Solution: Let E1 be the event of drawing a red card.   Let E2 be the event of drawing a king .   P(E1 ∩ E2) = P(E1) . P(E2)   (1/26s E1 and E2 are independent)   = 1/2 * 1/13   = 1/26   1/26nswer: 1/26
Answer: A