MU-NLPC/Calc-aqua_rat huggingface dataset:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?	Choose the correct choice from the following choices.
A) 2	B) 8	C) 10	D) 11	E) 14

Solution: 1155 = 3 * 5 * 7 * 11   a = 11   d = 3   a - d = 8   Answer is 8
Answer: B
Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?
Choose the correct choice from the following answers:  A) 5 7/3 days  B) 7 1/3days  C) 5 1/9 days  D) 5 7/3 days  E) 4 7/9 days

Solution: 1/11 + 1/22 = 3/22   22/3 = 7 1/3 days   ANSWER:7 1/3days
Answer: B
What is 3/5 of 5/7 of 2/3? Select the correct option.
A) 2/7
B) 3/8
C) 9/16
D) 5/8
E) 16/9

Solution: 3/5 * 5/7 * 2/3= 2/7   2/7nswer: 2/7
Answer: A
A boat running downstream covers a distance of 10km in 3hr while for covering the same distance upstream, it takes 6hr.
What is the speed of the boat? Choose the correct choice from the following answers:
A) 2.5 kmph
B) 3.5 kmph
C) 4.5 kmph
D) 1.5 kmph
E) 9.5 kmph

Solution: speed upstream = 10/3   speed of boat down stream = 10/6   speed of boat = 1/2(10/3 + 10 /6 ) = 2.5 kmph   2.5 kmphNSWER:2.5 kmph
Answer: A
Over a ten-year period Pat's income rose from $15,000 to $35,000. What was the percent increase in her income?  Choices: A) 33 [1][/3]% B) 42.8% C) 133 [1][/3]% D) 142.8% E) 233 [1][/3] %

Solution: % Increase(+)/Decrease(-) = (Final Value−InitialValue)/InitialValue∗100   Final Value = $35,000   Initial Value = $15,000   % Increase(+)/Decrease(-) = (35000−15000)/15000∗100   % Increase(+)/Decrease(-) = (20000)/15000∗100=133.33   Answer: Option 133 [1][/3]%
Answer: C
11
a3
+4b
___
65
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?  Pick.
A) 12  B) 11  C) 34  D) 544  E) 546

Solution: 1+3+b=5   b=1   1+a+4=6   a=1   ab=11   ans=11
Answer: B
If Greg buys 5 shirts, 4 trousers and 2 ties, the total cost is $80. If Greg buys 7 shirts, 4 trousers and 2 ties, the total cost is $70. How much will it cost him to buy 2 trousers, 3 shirts and 1 ties?  Choose the correct answer
A) $37.5 B) $64 C) $75 D) $96 E) Cannot be determined

Solution: Solution: 5x+4y+2z=80 7x+4y+2z=70   adding both the equations= 12x+8y+4z=150   3x+2y+1z=37.5   ans $37.5
Answer: A
Population is 23000. Population increases by 10% every year, then the population after 3 years is?	Choose the correct choice
A) 26630  B) 26640  C) 36623  D) 30613  E) 26820

Solution: population after 1st year = 23000*10/100= 
23000*10/100 = 2_300
2300===> 23000+2000 = 25300   population after 2nd year = 25300*10/100= 
25300*10/100 = 2_530
2530===> 25300+2530= 
25300+2530 = 27_830
27830   population after 3rd year= 27830*10/100= 
27830*10/100 = 2_783
2783===> 27830+2783= 
27830+2783 = 30_613
30613   ANSWER:30613
Answer: D
If the L.C.M of two numbers is 720 and their product is 38880, find the H.C.F of the numbers. Choose one
A) 50 B) 30 C) 125 D) 54 E) None of these

Solution: H.C.F = (Product of the numbers) / (Their L.C.M) = 38880/720= 
38880/720 = 54
54.   ANSWER:54
Answer: D
In a T.V. factory, an average of 65TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ? Choose the correct choice from the following answers:
A) 35	B) 39	C) 48	D) 50	E) 23

Solution: Production during these 5 days = Total production in a month - production in first 25 days.   = 30 x 58 - 25 x 65   = 115   âˆ´ Average for last 5 days = 115/5= 
115/5 = 23
23= 23   23
Answer: E
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?  Pick one:
A) 298	B) 237	C) 342	D) 876	E) 291

Solution: 400*(90/100)*(95/100)= 
400*(90/100)*(95/100) = 342
342   Answer: 342
Answer: C
In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 5 : 9. If the shop carries 204 dogs and bunnies total in stock, how many dogs are there?	Choose the most appropriate option.
A) 51 B) 66 C) 98 D) 112 E) 154

Solution: Let us assume the number of dogs, cats and bunnies to be 3x, 5x and 9x   Total dogs and bunnies = 12x.   And we are given that 12x = 204.   Hence x = 17.   Dogs = 3x = 3*17= 
3*17 = 51
51 (Option 51)
Answer: A
A boy has nine trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?
Options.
A) 50ways
B) 90ways
C) 100ways
D) 108ways
E) 56ways

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 10 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 10= 
  9 * 10 = 90
90 ways.   Answer: 90ways
Answer: B
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choose the correct choice from the following:
A) 18/35
B) 18/34
C) 18/30
D) 18/37
E) 18/31

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 3/5 * 4/7 + 2/5 * 3/7   = 12/35 + 6/35 = 18/35   18/35nswer:18/35
Answer: A
In what time will a train 100 metres long cross an electic pole, if its speed be 144 km/hr?	Options.
A) 2.5 sec B) 4.25 sec C) 5 sec D) 12.5 sec E) None

Solution: Sol.   Speed = [144x5/18] m/sec = 40 m / sec.   Time taken = (100/40)= 
(100/40) = 5/2 = around 2.5
2.5 sec.   2.5 secnswer 2.5 sec
Answer: A
If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 8, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18 Choose the correct choice.
A) II only B) I and II only C) I and III only D) II and III only E) I, II and III

Solution: Ans D   From question x/4 is an integer.   x/4 = 2*2*q/4 ---> where q is the integer   Also y/6 = p => y/6 = 2*3*p/6   So, xy =  2*2*2= 
 2*2*2 = 8
8 and   2*3*2= 
  2*3*2 = 12
12 satisfy   II and III only
Answer: D
Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank? Choices.
A) A16
B) G4
C) E4
D) E3
E) None

Solution: Explanation: The letters decrease by 1; the numbers are multiplied by 2.   Answer: Option E4
Answer: C
A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $375 and $150 per unit, respectively. What is the fewest number of computer printers that the company can purchase? Answers:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: The smallest amount that the company can spend is the LCM of 375 and 150, which is 750 for each, which is total 1500.   The number of 1st type of computers which costing $375 = 750/375= 
750/375 = 2
2.   The number of 2nd type of computers which costing $150= 750/150= 
750/150 = 5
5.   Total= 2+5= 
2+5 = 7
7   Answer is 7.
Answer: E
If an integer n is to be chosen at random from the integers 1 to 94, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8? Choose the most appropriate option.
A) 1/4  B) 3/8  C) 1/2  D) 5/8  E) 59/94

Solution: n(n+1)(n+2) will be divisible by 8 when n is a multiple of 2 or when (n+1) is a multiple of 8.   Thus when n is even, this whole expression will be divisible by 8.   from 1 to 96, there are 47 even integers.   Now when (n+1) is multiple by 8, we have 12 such values for (n+1)   probability that n(n+1)(n+2) will be divisible by 8   = (47 + 12)/94   = 59/94   = 5/8   Ans is 59/94
Answer: E
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?  Select the correct option: A) 5.61 B) 8 C) 10 D) 15 E) 24

Solution: Old time in minutes to cross 9 miles stretch = 9*60/55 = 9*12/11 = 9.81   New time in minutes to cross 9 miles stretch = 9*60/35 = 9*12/7 = 15.42   Time difference = 5.61   5.61ns:5.61
Answer: A
A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?  Choose the correct choice from the following options:
A) $1,500	B) $1,800	C) $2,100	D) $2,500	E) $2,800

Solution: Ans : 1000+ 7.5 % * 150 * (210-50) = $ 2800   ANSW$2,800R:$2,800
Answer: E
It takes 3 tons of copper ore and 5 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 30 tons of copper ore and 80 tons of iron ore?	Choose the correct choice
A) 18 B) 18 3/4 C) 17 D) 16 E) 14

Solution: Yes, you need copper ore:iron ore in the ratio 3:5. Total 8 tons of the mix in this ratio will give 1 ton of alloy A.   If you have 30 tons of copper ore, it is enough for 30/3= 
30/3 = 10
10 tons of alloy A.   If you have 80 tons of iron ore, it is enough for 80/5= 
80/5 = 16
16 tons of alloy A.   Since iron ore is available for only 16 tons of alloy A, you can make only 16 tons of alloy A.   The leftover copper ore alone cannot make any alloy A and hence will be leftover only.   Answer must be 16.   (16)
Answer: D
The base of a parallelogram is twice its height. If the area of the parallelogram
is 72 sq. cm, find its height.
Select:  A) 5cm  B) 6cm  C) 7cm  D) 8cm  E) 9cm

Solution: Let the height of the parallelogram be x. cm. Then, base = (2x) cm.   2x X x =72  2x^2 = 72  X ^2=36  x=6   Hence, height of the parallelogram = 6 cm   ANSWER 6cm 6cm
Answer: B
When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 134.08, what is value of J? Answers:  A) 22  B) 56  C) 78  D) 112  E) 225

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 134.08   Here 134 is the quotient.   Given that Remainder = 18   So, 134.08 = 134 + 18/J   So, J = 225 ANS 225
Answer: E
If 25% of x is 15 less than 12% of 1500, then x is?	Choose the correct option
A) 660
B) 738
C) 837
D) 840
E) 83

Solution: 25% of x = x/4 ; 12% of 1500   = 12/100 * 1500= 
12/100 * 1500 = 180
180   Given that, x/4= 180 - 15   => x/4 = 165 => x = 660.   660nswer:660
Answer: A
If 20% of a = b, then b% of 20 is the same as:  Select the correct option
A) 4% of a  B) 25% of a  C) 20% of a  D) 5% of a  E) 13% of a

Solution: 20% of a = b   => b = 20/100a   b% of 20 = (b/100)20 = [(20/100a)/100]20   = (20 × 20 × a)/(100 × 100)   = 4a/100 = 4% of a   4% of a
Answer: A
The average (arithmetic mean) of 7, 8, 10 and 11 equals the average of 2, 9, 13, and  Answers.
A) 7  B) 9  C) 10  D) 12  E) 13

Solution: 7 + 8 + 10 + 11 = 2 + 9 + 13 + x   36 = 24 + x   Or, x = 12   Hence, Answer will be (12) 12
Answer: D
34.95 + 240.016 + 23.98 = ?	Choices:  A) 298.946  B) 298.694  C) 289.496  D) 289.469  E) 298.964

Solution: 34.95   240.016   + 23.98   --------   298.946   298.946nswer is 298.946.
Answer: A
In 2008, a certain factory produced 20% more widgets than it did in 2007, and its production in 2009 was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?	Choose the correct choice from the following answers.
A) 31%
B) 35%
C) 40%
D) 44%
E) 144%

Solution: Let P be the original level of production in 2007.   Let x be the rate of production in 2010 compared to 2009.   x*1.2*1.2*P = P   x = 1/1.44 = 0.6944 which is a decrease of about 31%.   The answer is 31%.
Answer: A
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?	Choose one:
A) 12.9 sec
B) 12.1 sec
C) 17.9 sec
D) 16.8 sec
E) 14.9 sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   Answer: 12.1 sec
Answer: B
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed? Choose the correct choice from the following:
A) 83.83%. B) 89.33%. C) 89.30%. D) 83.98%. E) 83.33%.

Solution: Explanation:   Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.   Answer: Option 83.33%.
Answer: E
A network of 20 x 10 squares is given to you.
Can you calculate how many unique squares and rectangles can be formed combining two or more individual squares ?	Choose the correct choice
A) 11550 B) 12550 C) 15550 D) 13550 E) 14550

Solution: Total number of rectangles and squares will be equal to: (Summation of row numbers) * (Summation of column numbers)   = (1 + 2 + 3 +......+ 19 + 20) * (1 + 2 + 3 +......+ 9 + 10)   = 210 * 55= 
210 * 55 = 11_550
11550   correct answer is 11550)11550
Answer: A
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be  Choose one:  A) (1.5)^4  B) 4(1.5)  C) (1.05)^4  D) 1 + (0.05)^4  E) 1 + 4(0.05)

Solution: If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be   1(1.05)^4   1.05^4   C. (1.05)^4   ANSWER:(1.05)^4
Answer: C
In a group of cows and hens, the number of legs are 16 more than twice the number of heads. The number of cows is
Choose the correct choice
A) 5  B) 8  C) 10  D) 12  E) 14

Solution: Explanation:   Let the number of cows be x and the number of hens be y.   Then, 4x + 2y = 2 (x + y) + 16   4x + 2y = 2x + 2y + 16   2x = 16   x = 8.   Answer: 8
Answer: B
Find the perimeter and area of the rectangle of length 11 cm and breadth 7 cm.	Choose one.
A) 77 cm2  B) 121 cm2  C) 141 cm2  D) 171 cm2  E) 221 cm2

Solution: length = 11 cm, breadth = 7 cm   Perimeter of rectangle = 2 (length + breadth)   = 2 (11 + 7) cm   = 2 × 16 cm   = 32 cm   We know that the area of rectangle = length × breadth   = (11 × 7) cm22   = 77 cm2   77 cm2NSWER : 77 cm2
Answer: A
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.7200. How much third person will get?  Choose the correct choice.
A) 2400
B) 2429
C) 3200
D) 2707
E) 2872

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 7200= 
4/9 * 7200 = 3_200
3200   Answer:3200
Answer: C
A candidate got 33% of the votes polled and he lost to his rival by 833 votes. How many votes were cast?	Choose one
A) 2250	B) 2450	C) 2650	D) 2850	E) 3050

Solution: Let x be the total number of votes.   0.33x + 833 = 0.67x   0.34x = 833   x = 833/0.34= 
833/0.34 = 2_450
2450   The answer is 2450.
Answer: B
What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 6), (x, 6)?  Choose the correct choice from the following:
A) 64
B) 81
C) 125
D) 196
E) 225

Solution: To find the area of a square, knowing the length of one side is sufficient.   From the coordinates given, we can see that one side equals 14.   The area is 14*14= 
14*14 = 196
196.   The answer is 196.
Answer: D
Mangala completes a piece of work in 5 days, Raju completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is?  Options:	A) 4 days	B) 12 days	C) 14 days	D) 16 days	E) 18 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 5 × 20/25 = 4 days   4 days)
Answer: A
Cost of 16 mirror and 8 comb is Rs.328 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
Pick one:
A) 10	B) 12	C) 17	D) 21	E) 22

Solution: Let the cost of each pen and pencil be 'p' and 'q' respectively.   16m + 8c = 328 --- (1)   4m + 4c = 96   8m + 8c = 192 --- (2)   (1) - (2) => 8p = 136   => m = 17   17
Answer: C
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?  Pick one.
A) 200	B) 300	C) 400	D) 800	E) 900

Solution: science books sold = 2x × 0.2 = 0.4x   science books unsold = 2x – 0.4x = 1.6x   art books sold = 5x × 0.2 = x   art books unsold = 5x – x = 4x   total books unsold = 1.6x + 4x = 5.6x   5.6x 1.6  + 4= 
1.6  + 4 = 5.6
5.6x   5.6x= 2240   x = 400   2x science = 800   800
Answer: D
A Man can row upstream at 95kmph and downward stream at 47 kmph. Find Man's rate of the current
Choose the correct choice from the following answers:	A) 87km/hr	B) 20km/hr	C) 24km/hr	D) 2.8km/hr	E) 4.4km/hr

Solution: Rate of the current=1/2(95-47)km/hr   =24km/hr   correct option is :24km/hr
Answer: C
A driver would have reduced the time it took to drive from home to the store by 1/3 if the average speed had been increased by 18 miles per hour. What was the actual average speed, in miles per hour, when the driver drove from home to the store?
Choose the correct choice from the following options:
A) 36
B) 40
C) 44
D) 48
E) 52

Solution: Let R be the original speed and let T be the original time.   Since the distance remains the same (we're just changing the rate and time), any increase in rate or time is met with a decrease in the other term. Decreasing the time by 1/3 would give us:   D = (R)(T) = (2T/3)(x*R)   x = 3/2 since (2T/3)(3R/2) = (R)(T) = D   3R/2 = R + 18   R/2 = 18   R= 36   The answer is 36.
Answer: A
Two unbiased coin are tossed .what is the probability of getting atmost one head?
Answers:  A) 3/6  B) 2/3  C) 3/4  D) 1/4  E) 1/6

Solution: Here S={HH,HT,TH,TT}   Let Ee=event of getting one head   E={TT,HT,TH}   P(E)=n(E)/n(S)=3/4   Option 3/4
Answer: C
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? Select the correct option:
A) 203	B) 209	C) 211	D) 213	E) 215

Solution: In a group of 6 boys and 4 girls, four children are to be selected such that at least one boy should be there.   Hence we have 4 options as given below   We can select 4 boys ...(option 1)   Number of ways to this = 6C4   We can select 3 boys and 1 girl ...(option 2)   Number of ways to this = 6C3 × 4C1   We can select 2 boys and 2 girls ...(option 3)   Number of ways to this = 6C2 × 4C2   We can select 1 boy and 3 girls ...(option 4)   Number of ways to this = 6C1 × 4C3   Total number of ways   = 6C4 + 6C3 × 4C1 + 6C2 × 4C2 + 6C1 × 4C3   = 6C2 + 6C3 × 4C1 + 6C2 × 4C2 + 6C1 × 4C1[∵ nCr = nC(n-r)]   =   6   ×   5   2   ×   1   +   6   ×   5   ×   4   3   ×   2   ×   1   ×   4   =6×52×1+6×5×43×2×1×4   +   6   ×   5   2   ×   1   ×   4   ×   3   2   ×   1   +   6   ×   4   +6×52×1×4×32×1+6×4   =   15   +   80   +   90   +   24   =   209   209)
Answer: B
The ratio of the cost price and the selling price is 4 : 5.The profit percent is :  Select:	A) 10%	B) 20%	C) 25%	D) 30%	E) 35%

Solution: Solution   Let C.P. = Rs.4x. Then, S.P. = Rs.5x. Gain = Rs.(5x - 4x) = Rs.x.   ∴ Gain % =(x/4x X100) % = 25 %   Answer 25%
Answer: C
Shreyas bought an article and sold it for 130% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.40250/-?
Answers.
A) Rs.30962	B) Rs.35640	C) Rs.34250/-	D) Rs.33200	E) None of these

Solution: Explanation:   130% of CP = Rs.40250   :. CP = Rs.40250x100/130 = Rs.30962.   Rs.30962nswer: Option Rs.30962
Answer: A
A invested $400 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find B's shares?	Choose the correct choice from the following choices:
A) $100	B) $75	C) $20	D) $120	E) $50

Solution: A:B = 400*12:200*6   A:B = 4:1   B's share = 100*1/5= 
100*1/5 = 20
$20   Answer is $20
Answer: C
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 25% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
Choices:
A) $15,840
B) $17,325
C) $18,000
D) $19,800
E) $21,780

Solution: 10000 seats --> Full Price : Half Price = 7500 : 2500   Price when all seats are filled = 15000 + 2500= 
15000 + 2500 = 17_500
17500   100 seats are unsold --> Loss due to unfilled seats= 25 + 2*75= 
25 + 2*75 = 175
175   Revenue= 17500 - 175= 
17500 - 175 = 17_325
17325   Answer: $17,325
Answer: B
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?	Choose the correct option:
A) 6%
B) 6.5%
C) 7%
D) 7.5%
E) None of these

Solution: Explanation:   Let the rate be R% p.a.   Then, 1200 x (1 + R/100)2   R = =6%   6%NSWER IS 6%
Answer: A
For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 20, then v=  Choose the correct answer.
A) 36	B) 39	C) 42	D) 45	E) 48

Solution: (v*)* = (v - v/3) - (v - v/3) / 3   20 = 2v/3 - 2v/9 = 4v/9   v = 45   The answer is 45.
Answer: D
An escalator moves towards the top level at the rate of 15 ft.sec and its length is 180 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.  Choose the correct answer
A) 12sec	B) 20sec	C) 15sec	D) 18sec	E) 10sec

Solution: 10secxplanation :   Time taken to cover the entire length = tot.dist/resultant speed = 180/ (15+3)= 
180/ (15+3) = 10
10sec   Answer : 10sec
Answer: E
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 134 m length? Choose the correct answer.
A) 82.1 sec. B) 12.2 sec C) 19.1 sec. D) 17.1 sec. E) 42.1 sec.

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 134= 
110 + 134 = 244
244 m.   Required time= 244/20= 
244/20 = 61/5 = around 12.2
12.2 sec.   Answer: 12.2 sec
Answer: B
If [Z] denotes the least integer greater than or equal to Z and [Z] = 0, which of the following statements must be true?
Pick one: A) Z = 0 B) 0 <= Z < 1 C) 0 < Z <= 1 D) -1 <= Z < 0 E) -1 < Z <= 0

Solution: The answer for this is 0 < = Z < = 1   However it is not available in the options. The match to the above is-1 < Z <= 0   Answer = -1 < Z <= 0
Answer: E
The profits of QRS company rose 50% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Choose the most appropriate option:
A) 15% B) 32% C) 40% D) 62% E) 80%

Solution: Assume 100 in march , then 150 in April as 50% increase , Then 120 in may as 20% decrease from April , and then 180 in june which is 150% of 120 .   So overall increase is from 100 to 180 is 80%   Answer 80%
Answer: E
The average of 15 numbers is calculated as 30. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choose one.
A) 12
B) 26
C) 16
D) 45
E) 12

Solution: 15 * 30 + 36 – 26   = 450/10= 
450/10 = 45
45   Answer: 45
Answer: D
A rectangular plot measuring 90 metres by 40 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ?  Choose the correct choice from the following choices:
A) 55	B) 56	C) 57	D) 52	E) None of these

Solution: Solution   Perimeter of the plot = 2(90 + 40) = 260 m.   ∴ Number of poles = [260/5= 
260/5 = 52
52m   Answer 52
Answer: D
Ashok borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of 11,400/ - at the end of nine years, how much money did he borrow?  Answers
A) 16,060
B) 14,000
C) 18,000
D) 12,000
E) None of these

Solution: We have, SI = p×r×t/100   ∴ 11400 = p×6×2/100+p×9×3/100+p×14×4/100   or,12p + 27p + 56p = 11400 × 100   or, 95p = 11400 × 100   ∴ p = 12000   Answer 12,000
Answer: D