MU-NLPC/Calc-aqua_rat huggingface dataset:
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
Choose the correct answer.
A) 37.5%	B) 37.8%	C) 38.5%	D) 27.5%	E) 37.1%

Solution: Explanation:   Let marked price = Rs. 100.   Then, C.P. = RS. 64, S.P. = Rs. 88   Gain % = 24/64 * 100= 
24/64 * 100 = 75/2 = around 37.5
37.5%.   37.5%nswer:37.5%
Answer: A
The average of 11numbers is 50. Out of 11numbers the average of first 6no. is 58, and last 6numbers is 65 then find 6th number? Choose the correct choice from the following choices:  A) A)188  B) B)65  C) C)58  D) D)62  E) E)48

Solution: 6th number = sum of 1st 6no.s + sum of last 6no.s - sum of 11no.s   answer = 6*58+6*65-11*50= 
6*58+6*65-11*50 = 188
188   188nswer is 188
Answer: A
Points X, Y, and Z lie, in that order, on a straight railroad track. The distance from point X to point Y is twice the distance from point Y to point Z. A train traveled from point X to point Z without stopping. The train's average speed when traveling from point X to point Y was 300 miles per hour and the train's average speed when traveling from point Y to point Z was 100 miles per hour. What was the train's average speed, in miles per hour, when traveling from point X to point Z?	Choose the correct answer:
A) 200	B) 220	C) 240	D) 180	E) 260

Solution: Average speed = distance/time   Because we are looking for average speed we can pick a distance for the variable D.   Speed X-Y = 300   Speed Y-Z = 100   Average Speed = total distance/total rate   rate = distance/time   X====================Y==========Z   If X-Y is twice the length of Y-Z then let X-Y = 2d and let Y-Z= d   Average speed = 3d/(2d/300) + (d/100)   3d/(2d/300) + (3d/300)   3d/(5d/300)   900d/5d   Average speed = 180   ANSWER: 180900 /5= 
900 /5 = 180
180   ANSWER: 180
Answer: D
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?  Choose one:
A) 16 seconds B) 76 seconds C) 26 seconds D) 12 seconds E) 18 seconds

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 80 m= 80/5= 
80/5 = 16
16 seconds.   16 secondsnswer: 16 seconds
Answer: A
During a recent track meet, Peter ran x meters of the 100 meter dash in 8 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash? Pick one
A) xz/8  B) 8zx  C) 8x/z  D) 8/xz  E) 8z/x

Solution: Speed of Peter = x/8 meters per second   Time needed to run z meters = DISTANC8z/x/SP8z/x8z/xD = z / (x/8) = 8z/x   Option 8z/x   The values 100m and 200m have no role to play here and are just given to confuse you.
Answer: E
Average between two sets of numbers is closer to the set withmore numbers?  Choose the correct answer
A) 70	B) 80	C) 90	D) 95	E) 98

Solution: If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86.   Here, 90 has a weight of 3 => it occurs 3 times.   Whereas 80 has a weight of 2 => it occurs 2 times.   So the average is closer to 90 than to 80 as we have just calculated.   80
Answer: B
Exactly one side of a certain 10-sided die are red. What is the probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll? Options
A) 0.09
B) 0.1
C) 0.081
D) 0.091
E) 0.074

Solution: Total no. of sides = 10   Side that are red = 1   Probability that the die lands with red side up = 1/10   Therefore, Probability that the die does not land with red side up = 1 - 1/10 = 9/10   Probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll   = (1st roll - non red face) X (2nd roll - non red face) X (3rd roll - red face)   = (9/10) X (9/10) X (1/10)   = 81/1000= 
81/1000 = 81/1_000 = around 0.081
0.081   0.081
Answer: C
With out any halt a train travels a certain distance with an average speed of 75 km ph , and with halts it covers the same distance at an average speed of 60 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?	Choose the most appropriate option:
A) 48 min.  B) 12min.  C) 15min.  D) 18min.  E) 19min.

Solution: With halt in 1 hour the train travels 60km   With out halt for traveling same distance it take 60/75 = 4/5 = 48 minutes   :. 12 minutes is the halting time per hour   ANSWER:12min.
Answer: B
20 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor? Select the correct option:  A) 14.4  B) 180  C) 50.4  D) 60  E) 90

Solution: 20% of Area of the floor = 4*9= 
4*9 = 36
36 square feet   i.e. 100% Area of Floor= (36/20)*100= 
(36/20)*100 = 180
180 square feet   Answer: Option 180
Answer: B
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
Select the correct option:	A) 50	B) 60	C) 10	D) 20	E) 30

Solution: Let us write the fraction for each group of students   Group A: younger than 10: 50% = 50/100 = 1/2   Group B: 10 years old: 1/20   Group 10: older that 10 but younger than 12: 1/10   Group D: 12 years or older: 70 students   The fraction for group A, B and 10 together is given by   1 / 2 + 1 / 20 + 1 / 10 = 10 / 20 + 1 / 20 + 2 / 20 , common denominator   = 13 / 20 , add numerators   The fraction for group D is given by   20 / 20 - 13 / 20 = 7 / 20 and corresponds to 70 students   If X is the total number of students, then   7 / 20 of X = 70   or (7 / 20) * X = 70   Solve for X   X = 70 * (20 / 7)= 
70 * (20 / 7) = 200
200   Students who are 10 years old have a fraction of 1 / 20 of the total X and their number is equal to   (1 / 20) of 200= 10 students   correct answer 10
Answer: C
A cricketer has certain average for 5 innings. In the 6 inning he scored 90 runs, there by increasing his average by 8 runs. His new average is	Choose the correct answer: A) 42 B) 52 C) 60 D) 48 E) 36

Solution: Let the average for 5 innings be x   Then, (5x+90)/6 = x+8   x = 42   42nswer is 42
Answer: A
The average salary of Raj and Roshan is Rs. 4000 but the average salary of Raj, Roshan and Thomas is Rs. 5000. What is the salary of Thomas?	Choose the correct answer
A) 4000 B) 5000 C) 6000 D) 7000 E) 8000

Solution: Total salary of Raj and Roshan= 2x4000=8000   Total salary of Raj Roshan and Thomas= 3x5000=15000   Salary of Thomas= 15000-8000= Rs. 7000   Answer: 7000
Answer: D
300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees  Answers.
A) 10  B) 12  C) 14  D) 16  E) 18

Solution: 26 trees have 25 gaps between them,   Required distance (300/25)= 
(300/25) = 12
12   12
Answer: B
A movie buff buys movies on DVD and on Blu-ray in a ratio of 17:4. If she returns 4 Blu-ray movies, that ratio would change to 9:2. If she buys movies on no other medium, what was the original number of movies purchased?  Select the correct option:
A) 22 B) 28 C) 77 D) 99 E) 378

Solution: if u can just keep an eye on the options   99 is the only multiple of 9 in options given .. SO you can mark it wid in seconds.   Now coming to the process m(D) = 17x and b(D) = 4x   now from the next line the new eqn becomes 17x/ (4x -4) = 9/2   Solving it 34x = 36x -36   x =18   which means m (d) = 306 and b(d) = 72   SO total initially is m(d) + b(d) = 378   378
Answer: E
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of
Choose the correct choice
A) 45%	B) 40%	C) 35%	D) 32.5%	E) 30%

Solution: Price = p   initially price reduced by 25% which means new price is 3/4P   Now on this new price further 20 percent is reduced which means the new price is merely 80 percent of 3/4P   ==> (3/4)x(4/5)P = 12/20P is the new price after both deduction which is 60 percent of the original value P. This implies this entire series of deduction is worth having discounted 40% of P. So answer is 40% = 40%   ANSWER:40%
Answer: B
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different Q sets can be produced by this process?  Choose the correct option:
A) 41
B) 89
C) 125
D) 243
E) 512

Solution: Case 1: 1 used envelope => 1 way   Case 2: 2 used envelopes   - 4-1-0: Choose 4 from 5 cards: 5 ways   - 3-2-0: Choose 3 from 5 cards: 10 ways   Case 3: 41ll envelopes used   - 3-1-1: Choose 3 from 5 andno need to choose 1 from 2: 10 ways   - 2-2-1: Choose 2 from 5 and choose 2 from 3, but two groups are the same => (10X3):2 = 15   Total Q: 1+5+10+10+15= 
1+5+10+10+15 = 41
41=> 41nswer: 41
Answer: A
It takes Avery 3 hours to build a brick wall while Tom can do it in 2.5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?	Select the correct option.
A) 25 minutes.	B) 30 minutes.	C) 40 minutes.	D) 55 minutes	E) 1 hour and 20 minutes

Solution: Avery's efficiency is 100/3 = 33%   tom's = 100/2.5= 
100/2.5 = 40
40%   they worked together for 1 hour and finished 73% of the job   remaining= 27 %   tom will complete 40% in 60 minutes , 20% in 30 minutes and ,   7% in   60*7/40= 
  60*7/40 = 21/2 = around 10.5
10.5 minutes   time taken by tom to finish the remaining on his own= 30+10.5= 
30+10.5 = 40.5
40.5 minutes (adjusting for the 0.333) ~ 40 minutes   ANSWER:40 minutes.
Answer: C
A and B together have $1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Select the correct option:
A) $310
B) $395
C) $484
D) $512
E) $542

Solution: 4/15 A = 2/5 B   A = 2/5 * 15/4 B   A = 3/2 B   A/B = 3/2   A:B = 3:2   B's share = 1210*2/5= 
1210*2/5 = 484
$484   Answer is $484
Answer: C
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:
Answers
A) 44 years	B) 40 years	C) 50 years	D) 60 years	E) None of these

Solution: Lets assume fathers,mothers and child's age before 3 years is x,y,z respe.   therefore (x+y+z)/3=27   now x+y+z=27*3= 
27*3 = 81
81   and (y-2+z-2)/2=20   y+z=40   on calculating both equations x=37   hence present age x+3=40   ANSWER:40 years
Answer: B
Tough and Tricky questions: Word Problems.
AC Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?  Choose the correct choice from the following options.
A) $4,035  B) $4,036  C) $9,035  D) $16,140  E) $36,140

Solution: The AC company plans to make a profit of $30,500,000 and it needs to earn the fixed costs of $50,200,000, so it needs to earn $80,700,000 on top of the costs for the production of the 20,000 cars.   Therefore, price of each car needs to be the unit costs plus $80,700,000/20,000. After removing the 0's, we end with the unit costs plus $8,070/2, which is $5,000 plus $4,035. Therefore, Answer $9,035 is correct.
Answer: C
A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.	Choose the correct choice from the following:
A) 36 kmph
B) 40 kmph
C) 30 kmph
D) 42 kmph
E) None of these

Solution: Let the speed of the goods train be x kmph.   Distance covered by goods train in 10 hours   = Distance covered by express train in 4 hours.   ∴ 10x = 4 × 90 or x = 36.   So, speed of goods train = 36 kmph.   36 kmphnswer 36 kmph
Answer: A
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choose the correct choice from the following answers:	A) 4%	B) 13%	C) 20%	D) 23%	E) 26%

Solution: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.   Number of such number =14   Required % = (14/70)x100 % =20%   answer :20%
Answer: C
Find the value of X: 2a^2-7a+10 = 14 Answers
A) 7
B) 5
C) 6
D) 4
E) 2

Solution: Using the elimination method substitute options for x and find the correct option.   Answer: 4
Answer: D
If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-? Choose the correct choice from the following options: A) 50 kg B) 100 kg C) 150 kg D) 200 kg E) 250 kg

Solution: 100 kg of first type.   ANSWER:100 kg
Answer: B
The moon revolves around the earth at a speed of approximately 0.2 kilometers per second. This approximate speed is how many kilometers per hour?  Pick
A) 60 B) 720 C) 62.5 D) 3,600 E) 3,672

Solution: moon revolves around the earth at a speed of 1.02kilometers per second.   one hour equal to 60 minutes.   one minute equals to 60 seconds. so one hour equals to 3600seconds.   so one hour, speed= 0.2*3600= 
0.2*3600 = 720
720kilometers per hour.   Option 720 is correct
Answer: B
Find the odd man out. 1, 16, 81, 255, 625, 1296 Pick: A) 255 B) 1296 C) 81 D) 1 E) 625

Solution: Explanation :   The pattern is 1^4, 2^4, 3^4, 4^4, 5^4, 6^4   Hence, in place of 255, the right digit is 44 = 256   255nswer : Option 255
Answer: A
Two trains for Delhi leave Jaipur at 8:30 am and 9:00 am and travel at 60 km/hr and 75 km/hr respectively. How many km from Jaipur will the two trains meet?
Pick one.
A) 150 km  B) 127 km  C) 1717 km  D) 166 km  E) 177 km

Solution: 150 kmNSWER: 150 km
Answer: A
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 2 can be used only once?  Select:  A) 20  B) 150  C) 225  D) 300  E) 320

Solution: 4 options for the first digit: 2, 4, 6, 8;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   4 options for the fourth digit: 0, 3, 6, 9.   Four digit # possible without the restriction (about the digit 2): 4*5*4*4=320   Numbers with two 2-s, 2X2X 1*5*1*4=20.   Thus there are 320-20= 
320-20 = 300
300 such numbers.   Answer: 300.
Answer: D
There are two positive numbers in the ratio 3:11. If the larger number exceeds the smaller by 32, then what is the smaller number? Pick one
A) 8  B) 11  C) 12  D) 15  E) 17

Solution: Let the two positive numbers be 3x and 11x respectively.   11x - 3x = 32   8x = 32 => x = 4   Thus, the smaller number = 3x = 12.   Answer: 12
Answer: C
If two dice are thrown together, the probability of getting an even prime number on the dice is  Pick.
A) 1/36 B) 1/18 C) 1/13 D) 1/9 E) 5/36

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting an even number prime number on the dice.   P(E) = 1/36   1/36)
Answer: A
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 30%, what should be the sale price of the mixed tea? Choose the correct answer
A) 23.75 B) 22 C) 20.8 D) 19.2 E) None of these

Solution: C.P. of mixture = 80×15+20×20 /80+20=16   ∴ S.P. = (100+30)/100×16=20.8   Answer 20.8
Answer: C
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?	Choose the correct choice:	A) 298	B) 180	C) 289	D) 177	E) 123

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer: 180
Answer: B
In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.
Choose the correct option.
A) 144  B) 288  C) 12  D) 256  E) None

Solution: Solution: Let the Arrangement be,   B G B G B G B   4 boys can be seated in 4! Ways.   Girl can be seated in 3! Ways.   Required number of ways,   = 4!*3! = 144.   144nswer: Option 144
Answer: A
What is the remainder when 43^89 is divided by 5?
Choose the correct answer:
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: The units digit of the exponents of 3 cycle in a group of 4: {3, 9, 7, 1}   89 has the form 4k+1 so the units digit of 43^89 is 3.   The remainder when dividing by 5 is 3.   The answer is 3.
Answer: D
The average (arithmetic mean) of the even integers from 0 to 40 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 20 inclusive?
Choose the correct choice from the following answers:
A) 5	B) 8	C) 10	D) 15	E) 20

Solution: The sum of even numbers from 0 to N is 2 + 4 +...+ N   = 2(1 + 2 + ...+ N/2)   = 2(N/2)(N/2+1)/2 = (N/2)(N/2+1)   The average is (N/2)(N/2+1)/(N/2+1) = N/2   The average of the even numbers from 0 to 40 is  40/2= 
 40/2 = 20
20   The average of the even numbers from 0 to 20 is  20/2= 
 20/2 = 10
10   The answer is 10.
Answer: C
The HCF and LCM of two numbers m and n are respectively 5 and 210. If m + n = 75, then 1/m + 1/n is equal to	Choose the correct answer
A) 1/14  B) 3/35  C) 5/37  D) 2/35  E) None

Solution: 1/14nswer   We have, m x n = 5 x 210 = 1050   âˆ´ 1/m + 1/n = (m + n)/mn = 75/1050 = 1/14   Correct Option: 1/14
Answer: A
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of (r + s)^2?
Choose the most appropriate option.
A) 8	B) 2	C) − 2	D) − 3	E) 4

Solution: We know that given ax^2 + bx + c = 0, Sum of the roots = -b/a and product of the roots = c/a.   The roots here are -r and -s.   -r - s = -(-2)/1 = r + s = -2   (-r)*(-s) = -15/1 = rs   So one of r and s is -5 and the other is 3. So (r + s)^2 could be 4.   Answer (4)
Answer: E
There are 3 income earning members in a family namely X,Y&Z. .Total monthly income of the family is $12200.Ratio of their income 12:15:16.Find out the income of Z?
Choose the correct choice from the following answers
A) $5681.45 B) $4539.54 C) $3556.25 D) $6528.98 E) $2926.38

Solution: Ratio of their income 12+15+16= 
12+15+16 = 43
43. Income of Z= 16/43 *12200=$4539.54 Answer: $4539.54
Answer: B
Out of 20 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
Pick one:
A) 12â„13	B) 11â„13	C) 10â„15	D) 1â„15	E) 51/71

Solution: Total possible ways of selecting 4 students out of 20 students =20C4 =4845   The no. of ways of selecting 4 students in which no student belongs to Karnataka = 15C4=1365   âˆ´ Hence no. of ways of selecting at least one student from Karnataka = 20C4 â€“ 15C4 =3480   âˆ´ Probability = 3480â„4845 = 51/71   Answer 51/71
Answer: E
A corporation that had $2 billion in profits for the year paid out $100 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9)  Choose one
A) 50%	B) 20%	C) 5%	D) 2%	E) 0.2%

Solution: required answer = [employee benefit/profit] *100   =[(100 million)/(2 billion)]*100   =[(100*10^6)/(2*10^9)]*100   =(50/1000)*100= 
(50/1000)*100 = 5
5%   So answer is (5%)
Answer: C
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.72. Find the principal? Select:
A) 2277 B) 2667 C) 3600 D) 2766 E) 1800

Solution: P = 72(100/5)^2 => P = 1800   Answer: 1800
Answer: E
How many odd numbers between 10 and 1,300 are the squares of integers?	Select
A) 12 B) 13 C) 14 D) 15 E) 17

Solution: The square of an odd number is an odd number:   10 < odd < 1,000   10 < odd^2 < 1,000   3.something < odd < 31.something (by taking the square root).   So, that odd number could be any odd number from 5 to 31, inclusive: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, and 31.   17 numbers.   Answer: 17.
Answer: E
What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum?	Options:
A) 288  B) 266  C) 120  D) 277  E) 6123

Solution: Let the present worth be Rs. x. Then,   S.I. = (132 - x)   (x * 5 * 2) / 100 = (132 - x)   10x = 13200 - 100x   110x = 13200 => x = 120.   Answer: 120
Answer: C
In an examination, 35% of the students passed and 455 failed. How many students appeared for the examiantion?	Pick
A) 490	B) 620	C) 700	D) 845	E) None

Solution: Solution   Let the number of students appeared be x.   Then, 65% of x = 455   ‹=›65 / 100 x = 455   ‹=› x= [455 x 100 / 65]   = 700.   Answer 700
Answer: C
The average age of a class of 32 students is 16 yrs. if the teacher’s age is also included, the average increases by one year. Find the age of the teacher Answers.
A) 48  B) 49  C) 47  D) 44  E) 40

Solution: Explanation:   Total age of students is 32X16 = 512 Years   Total age inclusive of teacher = 33X (16+1) = 561   So, Teacher’s age is 561-512= 
561-512 = 49
49 Yrs   There is a shortcut for these type of problems   Teacher’s age is 16+(33X1)= 49 Years   Answer: 49
Answer: B
A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party R. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?  Select the correct option: A) 15 B) 20 C) 30 D) 35 E) 45

Solution: S=100   not( R and B ) =35   only R=20   (R and B)/B=1/2   let ( R and B ) =x   only B =2x   so now, 20+35+x+2x=100   x= 15   15 ans
Answer: A
The average of five numbers id 27. If one number is excluded, the average becomes 25. The excluded number is  Choose the correct choice
A) 25
B) 27
C) 30
D) 35
E) None

Solution: Solution   Excluded number	= (27 x 5 ) - ( 25 x 4)   = 135 - 100= 
135 - 100 = 35
35.   Answer 35
Answer: D
If Daniel is 18 years old in December and is 10 years younger than his sister, which of the following could be true?
I. Daniel's Sister will be 28 years in December.
II. When Daniel is 20 years, his sister will be 25 years.
III. Daniel is older than his sister.	Choose the correct choice from the following options:
A) I only
B) I and II only
C) I and III only
D) II and III only
E) I, II and III

Solution: Let’s check each statement.   Statement I: Daniel's Sister will be 28 years in December. There is 10 years difference in their ages so the sister's age will be 20 + 8= 
20 + 8 = 28
28, in which case Statement I is TRUE.   Statement II: When Daniel is 20 years, his sister will be 25 years. There is 10 years difference in their ages so the sister's age will be 20 + 8= 
20 + 8 = 28
28, in which case Statement II can NEVER be TRUE.   Statement III: Daniel is older than his sister. When Daniel is 10 the sister will be 28, in which case Statement III can NEVER BE TRUE   Only Statement I is TRUE   So, the Correct answer is I only
Answer: A
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?	Select the correct option:
A) 10000
B) 14000
C) 15000
D) 16000
E) 30000

Solution: SoL = ~s- So Anju’s share = [5/9] x 54000 = 30000   30000
Answer: E