MU-NLPC/Calc-aqua_rat huggingface dataset:
A discount cloth store normally sells all merchandise at a discount of 10 percent to 25 percent off the suggested retail price. If, during a special sale, an additional 30 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $1000 before any discount? Select the correct option.
A) $180.00 B) $545.60 C) $750.00 D) $525.00 E) $1000.00

Solution: Original price : 1000 $   Max first discount = -25%   Thus : 1000âˆ—(1âˆ’25/100)=750   Second discount on the discounted price = -30%   Thus : 750âˆ—(1âˆ’30/100)=525   Answer $525.00
Answer: D
If f(x) = 6x − √x and g(x) = x^2, what is f(g(4))? Pick:
A) -4
B) 8
C) 16
D) 32
E) 92

Solution: g(x) = x²   g(4) = 4² = 16   So, f(g(4)) = f(16)   f(x) = 6x − √x   So, f(16) = 6(16) − √16   = 96 - 4= 
96 - 4 = 92
92= 92
Answer: E
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. After how much time will the trains meet?  Choose the correct answer:
A) 10/3 sec	B) 20/7 sec	C) 33/7 sec	D) 21/7 sec	E) 32/7 sec

Solution: They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (36 + 72)*5/18 = 6*5= 
6*5 = 30
30 mps.   The time required= d/s = 100/30 = 10/3 sec.   10/3 secnswer : 10/3 sec
Answer: A
A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand B?
Choose the correct choice from the following choices
A) 40%
B) 45%
C) 50 %
D) 60 %
E) 55 %

Solution: Yes there is a simple method :   Consider the following method   Brand A : 40% millet and 60% sunflower   Brand B : 65% millet and 35% safflower   Mix : 50% millet   Here the weighted average is 50%,   Now Brand A has 40% millet, which is 10% less than the weighted average of mix = - 0.10 A --------------- I   Similarly, Brand B has 65 % millet, which is 15 % more than the weighted average of mix = + 0.15 B ------------ II   Now, both Brand A and Brand B are combined to give a 50% mix containing millet, so equate I and II   implies, 0.10 A = 0.15 B   Therefore A/B = 0.15/0.10 = 3/2   A : B : (A + B) = 3 : 2 : (3+2) = 3 : 2 : 5   We have to find, percent of the mix is Brand B i.e. B : (40% + B) = 2 : 5 = (2 / 5) * 100= 
(2 / 5) * 100 = 40
40 %   Here is a pictorial representation :   Brand 40%= 40%------------------------10% or 0.10 below average, 40% times-----------------Total below = - 0.10 40%   ----------------------------------------------------------------------------------------40%verage = 50% or 0.50   Brand B = 65 %--------------------------15% or 0.15 above average, B times-----------------Total above = + 0.15 B   Since the amount below the average has to equal the average above the average; therefore,   0.10 40% = 0.15 B   40%/B = 3/2   40%:B: Total = 3:2:5   Therefore   B/Total = 2:5 = 40 %   40%nswer: 40%
Answer: A
A bicycle wheel has a diameter of 0.51m. How many complete revolutions does it make in 1km? Choose one.
A) 246
B) 448
C) 1408
D) 710
E) 624

Solution: 1 revolution = 3.14 * diameter.   Number of revolutions in 1km = 1000m / ( 3.14 * 0.51m ) = 624.5. Hence 624 complete revolutions.   Answer 624
Answer: E
If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college?	Select
A) $20000  B) $15000  C) $12000  D) $10000  E) $9000

Solution: Since investment doubles in 70/r years then for r=8 it'll double in 70/8=~9 years (we are not asked about the exact amount so such an approximation will do). Thus in 18 years investment will double twice and become ($5,000*2)*2=$20,000 (after 9 years investment will become $5,000*2=$10,000 and in another 9 years it'll become $10,000*2=$20,000).   $20000nswer: $20000.
Answer: A
Find large number from below question The difference of two numbers is 1500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder  Choose the correct choice from the following
A) 1234  B) 1345  C) 1456  D) 1797  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1500).   x + 1500 = 6x + 15   5x = 1485   x = 297   Large number = 297+1500= 
297+1500 = 1_797
1797   1797
Answer: D
Meera purchased two three items from a shop. Total price for three items is Rs.3200/- She have given Rs. 6000/- What is the balance amount meera got? Choose the correct choice from the following answers:
A) 650
B) 1400
C) 1350
D) 8200
E) 2800

Solution: Total cost of Items : 3200/-   amount Paid : 6000/-   Balance receivable : 6000 - 3200= 
6000 - 3200 = 2_800
2800/-   Answer is 2800
Answer: E
Randy'sbar serves customers every weeknight from 3 pm to 1 am. In Randy's bar,Silvermoonbeer is sold at a constant rate except during happy hour, from 6:30 to 7:30 pm, when the rate triples.
If a keg of Silvermoon beer is half empty at 5pm on Monday, and two-thirds empty at the beginning of the happy hour, when will it be completely empty?  Choices
A) Monday, 7:30 pm	B) Monday, 9 pm	C) Monday, 7 pm	D) Monday, 6:45 pm	E) Monday, 9:30 pm

Solution: Let the keg be a 150 Litre keg   At 5 pm.. There are 75 litres   At 6:30 pm there are 50 litres.   So, consumption rate is 25 litres per 1.5 hours.   So it will take 3 hours to finish 50 litres at this rate.   During happy hour it sells 3 times faster. So, rate = 1 hour per 50 litres.   So, keg becomes empty at 6:30 + 1 hour = 9:30 pm   Answer is Monday, 9:30 pm.
Answer: E
If the simple interest on a sum of money at seventeen percent per annum for two years is Rs.10500, compound interest on the same sum for the same period at the same rate of interest is Select.
A) 10,396.50  B) 11,392.50  C) 10,500.50  D) 10,892.50  E) 10,500.00

Solution: S I for 2 years = 10500 ie for one year =5250   The compound interest for Rs.5250 for the second year = 5250*17/100= 
5250*17/100 = 1_785/2 = around 892.5
892.50   The CI for two years 10500+892.50= 11,392.50   ANSWER:11,392.50
Answer: B
An article is bought for Rs.600 and sold for Rs.400, find the loss percent? Choose the correct answer
A) 33 1/4%
B) 33 4/3%
C) 33 2/3%
D) 33 1/3%
E) 33 8/3%

Solution: 600 ---- 200   100 ---- ? => 33 1/3%   Answer: 33 1/3%
Answer: D
In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Choose the correct choice:
A) 15%
B) 50%
C) 62.5%
D) 115%
E) 160%

Solution: in 2005 25% of 40= 10 students were female   in 2007 40% of 65 = 26 were female   % increase= (26-10)/10 *100= 
(26-10)/10 *100 = 160
160%   160% is the answer
Answer: E
How many two element subsets of {5,6,7,8,9} are there that do not contain the elements 6,7 and 9?
Choose the most appropriate option:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Required subsets are = {5,8}= 1   1nswer: 1
Answer: A
A monkey ascends a greased pole 14 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?  Choose the correct answer:
A) 25th  B) 22nd  C) 23rd  D) 24th  E) None of these

Solution: In 2 minutes, he ascends = 1 metre   âˆ´ 12 metres, he ascends in 24 minutes.   âˆ´ He reaches the top in 25th minute.   25thnswer 25th
Answer: A
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 4% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?	Select
A) 2:9 B) 2:7 C) 1:6 D) 1:4 E) 1:5

Solution: Ratio of A / Ratio of B = (Average Wt of Mixture - Wt of B)/(Wt of A - Average Wt of Mixture)   => Ratio of A / Ratio of B = (5 - 4)/(10 - 5) = 1/5   So they should be mixed in the ratio 1:5   Answer - 1:5
Answer: E
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in r hours. In terms of x and r, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?	Select the correct option.
A) x/(x+y)  B) y/(x+y)  C) xy/(x+y)  D) xy/(x-y)  E) xr/(r-x)

Solution: Pick some smart numbers for x and r.   Say x=1 hour and r=2 hours (notice that r must be greater than x, since the time for machine A to do the job, which is r hours, must be more than the time for machines A and B working together to do the same job, which is x hours).   In this case, the time needed for machine B to do the job must also be 2 hours:   1/2+1/2= 
  1/2+1/2 = 1
1.   Now, plug x=1 and r=2 in the options to see which one yields 2. Only option E fits.   Answer: xr/(r-x).
Answer: E
Find the sum The difference between the compound and S.I. on a certain sum of money for 4 years at 20% per annum is Rs.50 of money?  Choose the correct choice from the following options.
A) 1000	B) 6000	C) 5000	D) 8000	E) 1900

Solution: P = 50(100/20)4 => P = 1000   1000nswer: 1000
Answer: A
The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers? Answers:  A) 288  B) 672  C) 299  D) 277  E) 121

Solution: 8 * 84= 
8 * 84 = 672
672 – 7= 665.Answer: 672
Answer: B
The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 828. What is the banker's discount?
Choose one:  A) 1240  B) 1120  C) 1190  D) 1978  E) None of these

Solution: Explanation :   TD = (BG ×100)/TR = (828×100)/(6×12) = Rs. 1150   BG = B1978 – T1978   => 828= B1978 - 1150   => B1978 = 1978 Answer : Option 1978
Answer: D
A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 98 runs, thereby increasing his average by 6 runs. His new average is
Choices: A) 18 runs B) 28 runs C) 48 runs D) 42 runs E) 32 runs

Solution: Explanation:   Let average for 10 innings be x. Then,   (10x + 198)/11 = x + 6 => 11x + 66 = 10x + 98 => x = 32.   New average = (x + 6) = 48 runs.   Answer: 32 runs
Answer: E
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is: Choose the correct choice from the following choices.
A) 35 years B) 40 years C) 50 years D) None of these E) Cannot be determined

Solution: EXPLANATION   Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.   Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.   Husband’s present age = (90 – 50) years = 40 years.   Answer 40 years
Answer: B
A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Choose the correct answer.
A) 3.9	B) 4.2	C) 5.3	D) 1.5	E) 3

Solution: M = 9   S = x   DS = 9 + x   US = 9 - x   9 + x = (9 - x)2   9 + x = 18 -2x   3x = 9   x = 3   Answer:3
Answer: E
A store sells a certain product at a fixed price per unit. At the product's current price, w units cost a total of exactly $300. If the price were lowered by $5 from its current value, then w + 2n units would cost exactly $300; if the price were raised by $5, then w – n units would cost exactly $300. What is the value of w? Choose the most appropriate option:
A) 10
B) 15
C) 20
D) 25
E) 30

Solution: It got too complicated when I used algebra. Using plugging in, it was quite fast.   Price Quantity total value   p w pw = 300   p-5 w+2n (p-5)(w+2n) = 300   p+5 w-n (p+5)(w-n) = 300   Solving three equations for three unknowns. Tough!!   Plugging in, I always start with C. 20 was the answer here, so saved calculation!   Putting values in above equations:   Price Quantity total value   15 20 300   10 20+2n 300 -> 10(20 + 2n)=300 -> 200 +20n = 300 -> 20n = 100 -> n =5   20 15 300   So w = 20 satisfies all equations!!
Answer: C
How long does a train 100 m long running at the speed of 80 km/hr takes to cross a bridge 142 m length?
Choose one:
A) 10.7 sec
B) 10.9 sec
C) 10.1 sec
D) 15.1 sec
E) 12.7 sec

Solution: Speed = 80 * 5/18   = 22.2 m/sec   Total distance covered   = 100 + 142= 
100 + 142 = 242
242 m.   Required time= 242/22.2 '   = 10.9 sec.   Answer:10.9 sec
Answer: B
If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are? Choose the correct choice from the following options:
A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750 B) Ram = Rs.2500, Shyam = Rs.500, Mohan = Rs.250 C) Ram = Rs.1200, Shyam = Rs.1300, Mohan = Rs.750 D) Ram = Rs.3500, Shyam = Rs.500, Mohan = Rs.250 E) None

Solution: 1/2:1/3:1/4 = 6:4:3   Ram = 6/13 * 3250= 
6/13 * 3250 = 1_500
1500   Shyam= 4/13 * 3250= 
4/13 * 3250 = 1_000
1000   Mohan= 3/13 * 3250= 
3/13 * 3250 = 750
750   Ram= Rs.1500, Shyam = Rs.1000, Mohan = Rs.750NSWER:Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
Answer: A
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 44 degrees. Find the temperature on Friday?  Options:
A) 65 degrees  B) 73 degrees  C) 36 degrees  D) 34 degrees  E) 74 degrees

Solution: M + Tu + W + Th = 4 * 48= 
4 * 48 = 192
192   Tu + W + Th + F= 4 * 46= 
4 * 46 = 184
184   M= 44   Tu + W + Th = 192 -44= 
192 -44 = 148
148   F= 184 – 148 = 36   Answer:36 degrees
Answer: C
A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm * 5 cm * 2 cm. The percentage of wood wasted is  Pick
A) 26 %
B) 28 %
C) 32 %
D) 34 %
E) None

Solution: Sol.   Volume of the block = (10 * 5 * 2)= 
(10 * 5 * 2) = 100
100 cm³   Volume of the cone carved out= [1/3 * 22/7 * 3 * 3 * 7= 
1/3 * 22/7 * 3 * 3 * 7 = 66
66 cm³   ∴ Wood wasted= (100 - 66)= 
(100 - 66) = 34
34%.   Answer 34 %
Answer: D
How many minutes does the minute hand gain in every one hour?	Choices.
A) 55	B) 60	C) 65	D) No gain	E) None of these

Solution: 55   55NSWER:55
Answer: A
A candidate got 30% of the votes polled and he lost to his rival by 1760 votes. How many votes were cast?	Choices
A) 4000 B) 4100 C) 4200 D) 4300 E) 4400

Solution: Let x be the total number of votes.   0.3x + 1760 = 0.7x   0.4x = 1760   x = 1760/0.4= 
1760/0.4 = 4_400
4400   The answer is 4400.
Answer: E
75 boys can complete a work in 26 days.how many men need to complete twice the work in 20 days  Select the correct option:	A) 160	B) 195	C) 180	D) 190	E) 200

Solution: one man can complete the work in 26*75= 
26*75 = 1_950
1950days= one time work   to Complete the work twice it will be completed in   let M be the no. of worker assign for this therefore the eqn becomes   M*20=2*1950   M=195 workers   ANSWER:195
Answer: B
When a Laptop is sold for Rs. 27000, the owner loses 10%. At what price must that Laptop be sold in order to gain 10%?
Choices:  A) 33,000  B) 34,000  C) 35,000  D) 36,000  E) 37,000

Solution: 90 : 27000 = 110 : x   x = (27000 x 110)/90 = 33000.   Hence, S.P. = Rs. 33,000.   33,000nswer: Option 33,000
Answer: A
Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 16 meters. What is value of the radius in meters?  Select the correct option
A) 1/2  B) 1/3  C) 1/4  D) 1/6  E) 1/8

Solution: 10*0.31= 
10*0.31 = 3.1
3.1= pi*R^2*h   R^2 = 3.1 / (pi*16) which is about 1/16   R = 1/4   The answer is 1/4.
Answer: C
At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.5 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day? Choose the most appropriate option.
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: After renting bowling shoes the person is left with $12.80-$0.5=$12.30, which is enough for 12.3/1.5<912.80- 0.5= 
12.80- 0.5 = 12.3
$12.30, which is enough for 12.3/1.5<9=~8.   Answer: 8.
Answer: B
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Choose the correct choice from the following choices: A) 6∏ cm B) 8∏ cm C) 12∏ cm D) 16∏ cm E) None of these.

Solution: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.   a2 = 784 = (4)(196) = (22).(142)   a = (2)(14) = 28   a = 2l, l = a/2 = 14   l = (7/3)s   Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.   ANSWER:12∏ cm
Answer: C
The number of new words that can be formed by rearranging the letters of the word 'KEYBOARD' is ?  Select the correct option:
A) 34118 B) 40319 C) 20119 D) 40139 E) 38132

Solution: Number of words which can be formed   = 8! - 1 = 40320 - 1= 
40320 - 1 = 40_319
40319   Answer:40319
Answer: B
In year Y imported machine tools accounted for 30 percent of total machine-tools sales in the United States, and Japanese imports accounted for 60 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? Choose the correct option:	A) 50x/9	B) 60x/9	C) 65x/9	D) 70x/9	E) 75x/9

Solution: Sales of imported tools = 30% of the total sales = 0.30*{total} = 3{total}/10;   Sales of Japanese tools = 60% of the sales of imported tools = 3/5*3{total}/10 = 9{total}/50   Since the sales of of Japanese tools was x, then 9{total}/50 = x -->9{total} = 50 x   {total} = 50x/9   50x/9nswer: 50x/9
Answer: A
a factory produces 1 defective bulb out of 10 bulbs a yr. if it produces 870 bulbs a yr, how many defective bulbs are produced?  Choose the correct answer
A) 84 B) 85 C) 86 D) 87 E) 88

Solution: 10 out of 1 is defective   20 out of 2 is defective   100 out of 10 is defective   and so on   800 out of 80 is defective   70 out of 7 is defective    80+7= 
 80+7 = 87
87   ANSWER:87
Answer: D
P is 20% more efficient than Q. P can complete a work in 22 days. If P and Q work together, how many days will it take to complete the same work?  Choose the correct answer:
A) 8  B) 11  C) 12  D) 15  E) 16

Solution: The work done by P in 1 day = 1/22   Let work done by Q in 1 day = q   q × (120/100) = 1/22   q = 100/(22×120) = 10/(22×12)   The work done by P and Q in 1 day = 1/22 + 10/(22×12) = 22/(22×12)= 1/12   P and Q together can do the work in 12 days.   The answer is 12.
Answer: C
How many 7 digit number contain number 3 ?	Choose the correct answer
A) 2748472	B) 3748472	C) 4748472	D) 5748472	E) 6748472

Solution: total 7 digit no. = 9*10*10*10*10*10*10= 
9*10*10*10*10*10*10 = 9_000_000
9000000   not containing 3= 8*9*9*9*9*9*9= 
8*9*9*9*9*9*9 = 4_251_528
4251528   total 7 digit number contain 3= 9000 - 4251528 = 4748472   ANSWER:4748472
Answer: C
In a certain city, 50% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?	Choose one.
A) a) 50%
B) b) 53%
C) c) 54%
D) d) 55%
E) e) 57%

Solution: Let total voters = 100   so D= 50, vote for the mayor 60*75%=45 (60*3/4)   R= 40, vote for the mayor 40*20%= (40*1/5)   46+8= 
46+8 = 54
54   54/100*100= 
54/100*100 = 54
54%   c) 54%
Answer: C
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?	Select the correct option: A) 51.25 B) 51.29 C) 51.22 D) 51.24 E) 51.21

Solution: Sum = (50 * 100) / (2 * 5) = Rs. 500   Amount = [500 * (1 + 5/100)2] = Rs. 551.25   C.I. = (551.25 - 500) = Rs. 51.25.51.25nswer:51.25
Answer: A
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)	Select.
A) 1/19 B) 1/20 C) 1/23 D) 2/17 E) 1/17

Solution: (2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100)   5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20   1/20)
Answer: B
If X,Y is 10%,30% smaller than Z then how much percentage is Y greater than X?  Pick:	A) 12 1/2 %	B) 13%	C) 13 1/2%	D) 14%	E) 22 2/9%

Solution: X = 90 %   Y = 70 %   Z = 100 %   X-Y/X × 100 = 20/90 × 100 = 22 2/9 % greater than X   22 2/9%
Answer: E
The population of a town is 30000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Choose the correct choice from the following:  A) 4300  B) 19200  C) 5120  D) 5230  E) 5366

Solution: 30000 × 80/100 × 80/100 = 19200   Answer ; 19200
Answer: B
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Choose the correct choice:
A) 10000	B) 28869	C) 10002	D) 18089	E) 10004

Solution: 100 * 100= 
100 * 100 = 10_000
10000   125 * 80= 
125 * 80 = 10_000
10000   10000nswer:10000
Answer: A
A single discount equivalent to the discount series of 18%, 10% and 5% is? Choose the correct choice from the following answers:
A) 29.36	B) 29.89	C) 31.86	D) 31.4	E) 31.1

Solution: 100*(82/100)*(90/100)*(95/100)= 
100*(82/100)*(90/100)*(95/100) = 7_011/100 = around 70.11
70.11   100 - 70.11= 
100 - 70.11 = 29.89
29.89   Answer: 29.89
Answer: B
A man can row 40 kmph in still water and the river is running at 10 kmph. If the man takes 1 hr to row to a place and back, how far is the place? Choose one
A) 16.5 kmph
B) 12.15 kmph
C) 2.25 kmph
D) 18.75 kmph
E) None of these

Solution: Explanation :   Let the distance be x   Speed upstream = (40 - 10)= 
(40 - 10) = 30
30 kmph   Speed downstream= (40 + 10)= 
(40 + 10) = 50
50 kmph   Total time taken= 1 hr   (x/50) + (x/30) = 1   ⇒8x/150 = 1   ⇒ x = 150/8= 
150/8 = 75/4 = around 18.75
18.75 kmph. Answer : Option 18.75 kmph
Answer: D
Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 2 more revolutions than gear P?
Choose the correct choice from the following answers
A) 4	B) 8	C) 10	D) 12	E) 15

Solution: Gear Q makes 30 more revolutions each 60 seconds.   The time to make 2 = 30/15 more revolutions is 60/15= 
60/15 = 4
4 seconds.   The answer is 4.
Answer: A
In a certain warehouse, 50 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?	Choose the correct choice.
A) 8
B) 64
C) 72
D) 102
E) 144

Solution: If 80% of the packages weigh at least 25 pounds   This means that 20% of the packages weigh LESS THAN 25 pounds   Let T = TOTAL number of packages   So, 20% of T = # of packages that weigh LESS THAN 25 pounds   48 packages weigh LESS THAN 25 pounds   GREAT. So, 20% of T = 48   Rewrite to get: 0.2T = 48   Solve:T = 240   50% of the packages weigh less than 75 pounds   So, 50% ofT= number of packages that weigh less than 75 pounds   50% of240=120, so120packages weigh less than 75 pounds   OF THOSE120packages that weigh less than 75 pounds,48packages weigh less than 25 pounds.   So, the number of packages that weight BETWEEN 25 and 75 pounds =120-48= 
120-48 = 72
72= 72
Answer: C
Riya and Priya set on a journey. Riya moves eastward at a speed of 20kmph and Priya moves westward at a speed of 30 kmph.How far will be priya from Riya after 30 minutes	Choose the correct choice from the following
A) 25kms  B) 10kms  C) 50kms  D) 30kms  E) 40kms

Solution: total eastward distance= 20kmph*1/2hr=10 km   total westward distance= 30kmph*1/2hr=15 km   total distn betn them= 10+15= 
10+15 = 25
25km   ans 25km   25kmsNSWER:25kms
Answer: A
Find the value of 72514 x 9999 = m?	Answers:
A) 345434667
B) 246465757
C) 465767867
D) 725077485
E) 645354643

Solution: 72514x 9999 = 72514x (10000 - 1)   = 72514 x 10000 - 72514 x 1   = 725140000 - 72514   = 725077485   725077485
Answer: D