MU-NLPC/Calc-aqua_rat huggingface dataset:
A fruit seller had some oranges. He sells 30% oranges and still has 420 oranges. How many oranges he had originally?	Answers.
A) 420
B) 600
C) 220
D) 400
E) None of these

Solution: Explanation :   He sells 30% of oranges and still there are 420 oranges remaining   => 70% of oranges = 420   ⇒ (70 × Total Oranges)/100 = 420   ⇒ Total Oranges/100 = 6   ⇒ Total Oranges = 6 × 100 = 600   Answer : Option 600
Answer: B
A man is 18 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is  Choose the correct choice from the following choices.
A) 20 years  B) 16 years  C) 22 years  D) 24 years  E) 26 years

Solution: Explanation:   Let the son's present age be x years. Then, man's present age = (x + 18) years   => (x + 18) + 2 = 2(x + 2)   => x + 20 = 2x + 4   So, x = 16   Answer: Option 16 years
Answer: B
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Choose the correct answer.
A) 1  B) 1/2  C) 1/5  D) 1/7  E) 2

Solution: Suppose the vessel initially contains 8 litres of liquid.   Let x litres of this liquid be replaced with water.   Quantity of water in new mixture = 3 -	3x	+ x litres   8   Quantity of syrup in new mixture = 5 -	5x litres   8   3 -	3x	+ x = 5 -	5x   8	8   5x + 24 = 40 - 5x   10x = 16   x =	8	.   5   So, part of the mixture replaced = 8	x	1 =	1	.   5	8	5   Option 1/5
Answer: C
A man desired to get into his work building, however he had forgotten his code.
However, he did recollect five pieces of information
-> Sum of 5th number and 3rd number is 14.
-> Difference of 4th and 2nd number is 1.
-> The 1st number is one less than twice the 2nd number.
->The 2nd number and the 3rd number equals 10.
->The sum of all digits is 30.
Crack the code ?  Select
A) 7+4+5+5+9  B) 7+4+6+5+8  C) 7+4+7+5+9  D) 6+4+6+5+9  E) None

Solution: Solution:   74658   * 8 + 6 =14   * 5 - 4 = 1   * 7 = 2*4 - 1   * 4 + 6 = 10   * 7+4+6+5+8 = 30   Answer 7+4+6+5+8
Answer: B
On a Monday in a certain restaurant, 20 percent of the 160 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
Pick
A) 14% B) 16% C) 18% D) 23% E) 30%

Solution: 20% of 160= 32   10% of 120=12   Total =44   percent for 2 days combined =44/300 ≈ 0.1466. so it should be less than 0.1466 so it is 14%   14%nswer:14%
Answer: A
The mean of four integers Q will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers	Choose one:
A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III

Solution: If we consider a set {1,2,3,4}, when multiplied with a constant we take that constant as 1 and multiply resulting set will contain the same numbers as the original. so how can the answer be I only.....I only
Answer: A
Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 14 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip? Choose the correct option
A) 36
B) 42.5
C) 44
D) 50
E) 52.5

Solution: Total Time taken by jerry = (8/40)*60 Minutes + 14 Minutes + (20/60)*60 Minutes = 46 Minutes   36verage Speed = Total Distance / Total Time = (8+20) miles / (46/60)Hours = 28*60 / 46 = 36 Miles per hour   36nswer: option 36
Answer: A
P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:  Options:
A) 35000	B) 40000	C) 50000	D) 60000	E) None

Solution: Suppose Q invested Rs. y. Then, 40000/y = 2/3 or y = [40000 x 3 / 2] = 60000.   Answer 60000
Answer: D
Each of the following equations E has at least one solution EXCEPT  Select the correct option:
A) E=–2^n = (–2)^-n	B) E=2^-n = (–2)^n	C) 2^n = (–2)^-n	D) (–2)^n = –2^n	E) (–2)^-n = –2^-n

Solution: While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.   Since we're dealing with exponents, we want to keep things as easy as possible. Hence, we'll start with the easiest exponent possible: n = 1. A, B, and C are not solved (x^-n = 1/(x^n), so we're comparing integers to fractions), but choices D and E both end up valid, eliminating them from contention.   In the process of doing this, however, we've uncovered a major clue to our next step: A, B, and C, all compared integers to fractions, and the only integer equal to it's reciprocal is 1, which is equal to 1/1. This, in turn, tells us the we need to pick n = 0. Remember, for all non-zero x, x^0 = 1.   If we plug n = 0 into choices B and C, we end up with 1 = 1 both times. Choice A, however, results in the false 1 = -1. Thus, we conclude that the first choice has no valid solutions, and is therefore the correct answer.
Answer: A
If 10 farmers can reap a field in 8 days, then 8 farmers will reap the same field in :  Choose the correct choice from the following:
A) 5 days
B) 10 days
C) 4 days
D) 20 days
E) None of these

Solution: Explanation :   8 : 10 :: 8 : x   or 8x = 10 * 8   or x = 10.   Required number of days 10.   Answer : 10 days
Answer: B
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 100 resolutions.  Choose the correct choice from the following options.
A) 140 m
B) 141 m
C) 142 m
D) 143 m
E) 144 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 100 resolutions.   = 100 * 2 * 22/7 * 22.4   = 14100 cm   = 141 m   Answer: 141 m
Answer: B
If the square root of 5625 is 75, then
√5625 + √56.25 + √0.5625 is equal to  Select:
A) 82.25
B) 80.25
C) 79.25
D) 83.25
E) 84.25

Solution: √5625 = 75; √56.25 = 7.5; √. 5625 = .75   -- > 75+7.5+0.75= 
75+7.5+0.75 = 83.25
83.25   Answer is 83.25.
Answer: D
A boy was asked to find the value of 3/8 of a sum of money. Instead of multiplying The sum by
3/8 he divided it by 3/8 and then his answer exceeded by Rs. 55. Find the Correct be x. Choose the correct option:
A) Rs.8
B) Rs.3
C) Rs.5
D) Rs.7
E) Rs.9

Solution: Let amount be x   8/3* - 3/8 * = 55   -- > 64x – 9x/24 = 55 -- > 55x/24 = 55   -- > x = 24*55/55= 
24*55/55 = 24
24   : . 3/8 of x= 3/8 * 24 = Rs.9   Answer is Rs.9.
Answer: E
A grocer has a sale of Rs. 5266, Rs. 5768, Rs. 5922, Rs. 5678 and Rs. 6029 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600? Choose the correct choice from the following options.
A) 4637
B) 4737
C) 4937
D) 5937
E) 5978

Solution: Total sale for 5 months = Rs. (5266 + 5768 + 5922 + 5678 + 6029) = Rs. 28663.   Required sale = Rs. [ (5600 x 6) - 28663 ]   = Rs. (33600 - 28663)   = Rs. 4937.   ANSWER:4937
Answer: C
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theoundary of the park at the speed of 12km/hr completes one round in 8 min, then the area of the park (in sq. m) is?  Choose the correct choice from the following choices.
A) 145010 m B) 146400 m C) 153600 m D) 164500 m E) 167550 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
A dog travelled for 2 hours. He covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. Find the distance travelled by the dog? Choose the correct choice from the following options:	A) 20 km	B) 16 km	C) 6 km	D) 3 km	E) 61 km

Solution: Let the distance travelled be x km.   Total time = (x/2)/10 + (x/2)/5 = 2 => x/20 + x/10   = 2 => (1x + 2x)/20 = 2 => x   = 20 km   20 kmnswer: 20 km
Answer: A
What will be the fraction of 50%  Choose the correct choice from the following options:	A) 1/4	B) 1/5	C) 1/10	D) 1/8	E) None of above

Solution: None of abovexplanation:   It will 50*1/100 = 1/2   Answer: Option None of above
Answer: E
How many words can be formed by using all letters of the word ‘CAT’ ?
Choose the most appropriate option:
A) 4  B) 6  C) 8  D) 10  E) 12

Solution: The word contains 3 different letters.   The number of permutations is 3! = 6   The answer is 6.
Answer: B
Two trains each 120m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 85km/h while the other travels at 65km/h. how long will it take for them to pass each other completely.	Pick one
A) 11.07 sec
B) 10.07 sec
C) 13.07 sec
D) 12.07 sec
E) 14.07 sec

Solution: Explanation:   D = 120 m +120 m = 240 m   RS = 85 + 65= 
85 + 65 = 150
150 * 5/18= 417/10   T = 420 * 10/417 = 10.07 sec   Answer: Option 10.07 sec
Answer: B
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?  Choose the correct answer:
A) 17 years B) 62 years C) 12 years D) 16 years E) 52 years

Solution: 100 ---- 200 ---- 4   400 ---- 4   800 ---- 4   ------   12 years   Answer: 12 years
Answer: C
Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
Options:
A) 5507
B) 5500
C) 5508
D) 5502
E) 5501

Solution: Let the amount lent out at 8% p.a. be Rs. A   => (A * 8)/100 + [(10000 - A) * 10]/100 = 890   => A = Rs. 5500.   Answer: 5500
Answer: B
3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three machines are used simultaneously?	Options
A) 12 hours	B) 10 hours	C) 8 hours	D) 9 hours	E) None of these

Solution: 1 hour capacity of   Machine a =1/60 million   Machine b =2*(1/60)=1/30 million   Machine c =(1/60)+(1/30)=1/20 million   So in 1 hour Machines a,b & c will produce (1/60)+(1/30)+(1/20)=1/10 million   Time taken to produce 1 million units=1/(1/10)= 
1/(1/10) = 10
10 hours   ANSWER:10 hours
Answer: B
Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ?
Select the correct option.
A) 756	B) 765	C) 785	D) 789	E) None

Solution: From a group of 7 men and 6 women, five persons are to be selected with at least 3 men. So we can have (5 men) or (4 men and 1 woman) or (3 men and 2 woman) (7C5)+(7C4 * 6C1)+(7C3** 6C2)=[21+35*6+35*15= 
21+35*6+35*15 = 756
756   756nswer 756
Answer: A
If 0.75 : x :: 10 : 8, then x is equal to:  Pick.
A) A)0.6
B) B)0.8
C) C)0.85
D) D)0.5
E) E)none

Solution: (x * 10) = (0.75 * 8)= 
(0.75 * 8) = 6
6/10= 
6/10 = 3/5 = around 0.6
0.6   0.6nswer= 0.6
Answer: A
In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?  Choose the most appropriate option
A) 37% B) 45% C) 55% D) 65% E) 75%

Solution: Setting up a matrix is how I solve this one.   Diploma No Diploma Totals   Job of Choice w/Diploma   Job of Choice w/o Diploma = 18%   Job of Choice Total = 40%   Not Job of Choice with Diploma =.25X   Not Job of Choice w/o Diploma= .75X   Total Not Job of Choice = X   Total with Diploma   Total without Diploma   Total citizen = 100   If 40% of people have their job of choice, then 60% of people do NOT have their job of choice. 25% of 60% = 15%. We can also see that 30% of the people have their job of choice and a diploma (40%-18%=22%). 22% + 15% =37%. Therefore 37% of the people in Country Z have a diploma.   37%ns 37%
Answer: A
On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested 2,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Choices:	A) $5	B) $15	C) $50	D) $100	E) $105

Solution: Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.   With respect to the problem at hand, at the end of two years, Tim would have   1,000(1.10)^2 = 1,000(1.21) = 1,210   and Lana would have   2,000(1.05)^2 = 2,000(1.1025) = 2,205   Thus, Tim earned 210 dollars, while Lana earned 205 dollars   The difference is $5 and the answer is $5.
Answer: A
Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha’s account have?  Pick one:  A) Zero  B) $68.25  C) $682.50  D) $6825.00  E) $68250.00

Solution: At the end of 1 year Peter gets an interest of - Rs 12000   At the end of 1 year Martha gets an interest of = 100000(1+0.12/12)^12=100000(1.01^12)= 112682.50 -100000= 
112682.50 -100000 = 12_682.5
12682.50 $   Therefore Martha has   12682.50-12000= 
  12682.50-12000 = 682.5
682.50 $ more than Peter at the end of 1 year.   Option ($682.50)
Answer: C
A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 300 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?	Choose the correct choice from the following:
A) 1 B) 2 C) 4 D) 6 E) 8

Solution: The distance between the nest and the ditch is 300 meters.   15 times mean = A crow leaves its nest, and flies back ( going and coming back) i.e. 2 times we get total 30 rounds.   So the distance is  30 * 300= 
 30 * 300 = 9_000
9000.   6= ST   9000/1.5 = T , I think we can take 9000 meters as 9 km, then only we get T = 6.( 1000 meters = 1 km)   6)
Answer: D
How many pieces of 75 cm can be cut from a rope 60 meters long?	Choose one:
A) 80
B) 40
C) 60
D) None
E) Cannot be determined

Solution: Explanation :   Total pieces of 75 cm that can be cut from a rope of 60 meters long is   = (60 meters)/(75 cm)   = (60 meters)/(0.75 meters)   = 80   80nswer : 80
Answer: A
How many cubes of edge 2 dm can be cut out of a meter cube?  Choose the correct choice from the following answers:  A) 296  B) 289  C) 270  D) 125  E) 278

Solution: 1 * 1* 1 = 2/10 * 2/10 * 2/10 * x   x = 125   Answer:125
Answer: D
Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age? Choose the most appropriate option:
A) 4 times
B) 2 times
C) 3 times
D) 5 times
E) 1 times

Solution: Assume that Sunil's present age =x.   Then, father's present age =3x+x=4x   After 8 years, father's age =212 times of Sunils' age   ⇒(4x+8)=212(x+8)⇒4x+8=52(x+8)⇒8x+16=5x+40⇒3x=40−16=24⇒x=243=8   After further 8 years,   Sunil's age =x+8+8=8+8+8= 
8+8+8 = 24
24   Father's age=4x+8+8=4×8+8+8=48   Father's age/Sunil's age =4824=2.   Answer is 2 times.
Answer: B
The C.P of 15 pens is equal to the S.P of 18 pens. Find his gain% or loss%?
Pick:
A) 12 2/4%	B) 17 2/6%	C) 16 2/3%	D) 16 2/7%	E) 34 2/5%

Solution: 16 2/3%   15 16 2/3%P = 18 SP   18 --- 3 16 2/3%P loss   100 --- ? => 16 2/3% loss
Answer: C
If a quarter kg of onions costs 90 paise, how many paise will 100 gm cost? Choose the correct choice from the following
A) 36 paise	B) 65 paise	C) 56 paise	D) 87 paise	E) 15 paise

Solution: Explanation:   Let the required cost be x paise.   Less weight, Less cost (Direct proportion)   250 : 100 : : 90 : x   250 * x = (100 * 90)   x = (100 * 90) / 250= 
(100 * 90) / 250 = 36
36   36 paiseNSWER: 36 paise
Answer: A
In what time will a train 100 meters long cross an electric pole, if its speed is 36 km/hr
Answers:
A) 8.5 seconds	B) 10 seconds	C) 3.5 seconds	D) 2.5 seconds	E) 2.6 seconds

Solution: First convert speed into m/sec   Speed = 36*(5/18)= 
36*(5/18) = 10
10 m/sec   Time= Distance/speed   = 100/10= 
100/10 = 10
10 seconds   Answer: 10 seconds
Answer: B
Which of the following is the lowest positive integer that is divisible by the first 8 positive integer multiples of 5? Answers:  A) 2100  B) 4200  C) 6300  D) 8400  E) 10,500

Solution: The number must be divisible by 5, 2*5, 3*5, 2^2*5, 5^2, 2*3*5, 7*5, and 2^3*5.   The lowest such number is 2^3*3*5^2*7 = 4200.   The answer is 4200.
Answer: B
All the stocks on the over-the-counter market are designated by either a 7 letter or 6 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Options:
A) 2(26^5)
B) 26(26^4)
C) 27(26^6)
D) 26(26^5)
E) 27(26^5)

Solution: with 7 letters: 26^7   with 6 letters: 26^6   26^7 + 26^6 = 27*(26^6)   27(26^6)
Answer: C
A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?	Pick one:
A) 22 hours
B) 28 hours
C) 77 hours
D) 75 hours
E) 66 hours

Solution: 1/A + 1/B + 1/C = 1/8 (Given)   Also given that A = 2B and B = 2C   => 1/2B + 1/B + 2/B = 1/8   => (1 + 2 + 4)/2B = 1/8   => 2B/7 = 8   => B = 28 hours.   Answer:28 hours
Answer: B
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?  Choose the correct choice from the following
A) 200	B) 929	C) 400	D) 600	E) 832

Solution: Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6   And also given that, profit share of B is Rs. 1500   => 5 parts out of 15 parts is Rs. 1500   Now, required difference is 6 - 4= 
6 - 4 = 2
2 parts   Required difference= 2/5 (1500) = Rs. 600   Answer:600
Answer: D
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?  Choose the most appropriate option.
A) 6.99%  B) 6.89%  C) 6.08%  D) 6.09%  E) 6.19%

Solution: Amount of Rs. 100 for 1 year when compounded half-yearly   = [100 * (1 + 3/100)2]   = Rs. 106.09 Effective rate   = (106.09 - 100)= 
(106.09 - 100) = 6.09
6.09%   Answer:6.09%
Answer: D
Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2400.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 3000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is  Choose the correct choice: A) 20% B) 30% C) 60% D) 50% E) 33%

Solution: Ok, I do not know whether it is exactly what you want to hear but I did it that way: first look at difference between revenue and variable cost => take the bigger one (b) which gives you: 4.5x-1500 just plug in 2000 and 3000. you get 7500 and 12000 (difference 4500). 4500> 0.5*7500 so 30%   30%
Answer: B
How many multiples of 4 are less than 6540, and also multiples of 7?  Select the correct option:
A) 234
B) 208
C) 340
D) 237
E) 267

Solution: LCM of 4 & 7 = 28   Tried dividing 6540 by 28   Got quotient 233.5'So 234 is answer
Answer: A
In a 150 member association consisting of men and women, exactly 10% of men and exactly 20 % women are homeowners. What is the least number of members who are homeowners? Choose the correct choice
A) 22	B) 21	C) 20	D) 19	E) 18

Solution: Solution simple   Out of 150 10% are male i.e 15 and 20% are female i.e 30 , so total homeowner is 45.   Now min number homeowner is 15 and max is 30 so question ask us to find least and 18 has least value among all option.   So ans is 18.   Ans: 18
Answer: E
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?	Choose the correct choice:
A) 6
B) 5
C) 4
D) 7
E) 9

Solution: 7 * 8 : 9 * x = 8:9 => x= 7   Answer: 7
Answer: D
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 5 runs. His new average is:
Choose the correct choice from the following options:
A) 50 runs  B) 58 runs  C) 56 runs  D) 59 runs  E) 62 runs

Solution: Let average for 10 innings be x. Then,   (10x + 108)/11 = x + 5   = 11x + 55 = 10x + 108   = x = 53.   New average = (x + 5) = 58 runs.   Answer:58 runs
Answer: B
An urn contains 15 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?  Pick:  A) 1/5  B) 3/7  C) 2/5  D) 3/5  E) 21/38

Solution: Let E and F denote respectively the events that first and second ball drawn   are black. We have to find P(E n F) or P (EF).   Now P(E) = P (black ball in first draw) = 15/20   Also given that the first ball drawn is black, i.e., event E has occurred, now there are 14 black balls and five white balls left in the urn. Therefore, the probability that the second ball drawn is black, given that the ball in the first draw is black, is nothing but the conditional probability of F given that E has occurred.   That is P(F|21/38) = 14/19   By multiplication rule of probability, we have   P (21/38 n F) = P(21/38) P(F|21/38)   = 15/20 × 14/19 = 21/38   21/38
Answer: E
If n is a prime number greater than 17, what is the remainder when n^2 is divided by 12 ?
Choose the most appropriate option:  A) 0  B) 1  C) 2  D) 3  E) 5

Solution: There are several algebraic ways to solve this question, but the easiest way is as follows:since we cannot have two correct answers just pick a prime greater than 17, square it and see what would be the remainder upon division of it by 12.   n=19 --> n^2=361 --> remainder upon division 361 by 12 is 1.   Answer: 1.
Answer: B
The length of a rectangular floor is more than its breadth by 500%. If Rs. 324 is required to paint the floor at the rate of Rs. 6 per sq m, then what would be the length of the floor?
Options
A) 24.6m.
B) 23.4m.
C) 22.5m.
D) 23.8m.
E) 25.5m.

Solution: Let the length and the breadth of the floor be l m and b m respectively.   l = b + 500% of b = l + 5b = 6b   Area of the floor = 324/6= 
324/6 = 54
54 sq m   l b= 54 i.e., l * l/6 = 108   l2 = 648 => l = 25.5m.   ANSW25.5m.R:25.5m.
Answer: E
Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 240 pastries ? Select the correct option:
A) 2 hours.	B) 1 hours.	C) 5 hours.	D) 4 hours.	E) 3 hours.

Solution: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 240 pastries would take 240 ÷ 60 = 4 hours.   ANSWER 4 hours.
Answer: D
How many different 3 digit numbers can be formed from the number 891 by re-arranging its digits so that the odd digits occupy even position  Choose the correct choice
A) 5 B) 2 C) 8 D) 7 E) 6

Solution: There are 2 odd numbers which have to be placed at 2 even places =2!=2 ways   There are 1 even numbers which have to be placed at 1 odd places. So 1! = 1 ways   so total number of ways of arranging all these numbers are  1 * 2= 
 1 * 2 = 2
2 ways   Answer:2
Answer: B