MU-NLPC/Calc-aqua_rat huggingface dataset:
A box contains four silver coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
Choose the correct choice
A) 3/5  B) 4/5  C) 2/5  D) 1/5  E) 3/4

Solution: There are four ways (2 heads in one two-headed coin and 2 heads in the other two-headed coin)   How many ways can you get heads from this entire set of coins? There are five ways (four as identified above and one from the normal coin)   Therefore probability = (number of ways to get heads from a two-headed coin)/(number of ways to get heads from any coin)   = 4/5   4/5
Answer: B
There are 3 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them? Answers: A) 90 B) 120 C) 45 D) 180 E) 200

Solution: Number of ways of selecting 2 fiction books = 3452   Number of ways of selecting 2 non fiction books = 6452   3452 * 6452 = 3 * 15= 
3 * 15 = 45
45   Answer: 45
Answer: C
total 85 matches are conducted in Knockout match type. How many players will be participated in that tournament?  Choose the most appropriate option:
A) 85	B) 81	C) 53	D) 82	E) 84

Solution: 84 players   ANSW84R:84
Answer: E
If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is  Choices:
A) 40 B) 44 C) 80 D) 88 E) 90

Solution: Sol.   Let the numbers be x and y.   Then, (x+y) = 22 and x2 + y2 = 404.   Now, 2xy = (x+y)2 - (x2 + y2)   = (22)2 - 404 = 484 - 404= 
484 - 404 = 80
80   xy= 40.   40nswer 40
Answer: A
Worker A takes 10 hours to do a job. Worker B takes 15 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?	Pick:  A) 40 days  B) 40/9 days  C) 39/9 days  D) 6 days  E) 60/9 days

Solution: A's one hour work = 1/10.   B's one hour work = 1/15.   (A+B)'s one hour work = 1/10+1/15 = 5/30 = 1/6.   Both A & B can finish the work in 6 days   6 days
Answer: D
Each child has 5 crayons and 14 apples. If there are 10 children, how many crayons are there in total?
Pick one
A) 22 B) 65 C) 12 D) 36 E) 50

Solution: 5*10= 
5*10 = 50
50.Answer is 50.
Answer: E
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km? Choose the correct choice from the following options:
A) 3 B) 6 C) 8 D) 7 E) 9

Solution: M = 4   S = 2   US = 4 - 2= 
4 - 2 = 2
2   D= 6   T = 6/2= 
6/2 = 3
3   3nswer: 3
Answer: A
Find the invalid no.from the following series 15, 16, 34, 105, 425, 2124, 12756
Choose the most appropriate option:
A) 16	B) 34	C) 105	D) 425	E) 12755

Solution: 2nd term = (1st term) * 1 + 1 = 15 *1 + 1= 
15 *1 + 1 = 16
16.   3rd term= (2nd term) * 2 + 2 = 16 * 2 + 2= 
16 * 2 + 2 = 34
34   4th term= (3th term) *3 + 3 = 34 * 3 + 3= 
34 * 3 + 3 = 105
105   5th term= (4th term) * 4 + 4 = 105 * 4 + 4= 
105 * 4 + 4 = 424
424   6th term= (5th term) * 5 + 5 = 424 * 5 + 5= 
424 * 5 + 5 = 2_125
2125   5th term should 424 instead of 425.   425
Answer: D
which number replaces the question mark and completes the puzzle ?
2 + 2 = 4
3 + 3 = 18
4 + 4 = 48
6 + 6= ?  Choose the correct option.
A) 135 B) 150 C) 185 D) 180 E) 190

Solution: 180   180   2 + 2= 
2 + 2 = 4
4 {2 * 2 * 1}   3 + 3= 18 {3 * 3 * 2}   4 + 4 = 48 {4 * 4 * 3}   6 + 6 = 180 {6 * 6 * 5}
Answer: D
What is the are of an equilateral triangle of side 16 cm? Select.
A) 64√8 cm2
B) 64√2 cm2
C) 62√3 cm2
D) 64√3 cm2
E) 44√3 cm2

Solution: Area of an equilateral triangle   = √3/4 S2   If S = 16, Area of triangle   = √3/4 * 16 * 16   = 64√3 cm2;   Answer: 64√3 cm2
Answer: D
A man deposited Rs 50000 in bank at 8% simple interest in 5 years ago. Now he decided to divide total amount among his 7 sons. How much money will get each son?	Choices:
A) 15000	B) 8000	C) 12000	D) 16000	E) 10000

Solution: i = (50000*5*8)/100= 
(50000*5*8)/100 = 20_000
20000   10000ach son will get= (50000+20000)/7= 
(50000+20000)/7 = 10_000
10000   Answer: 10000
Answer: E
If m/63 is an integer, then each of the following must be an integer EXCEPT
Choose the correct choice from the following:
A) 4
B) 3
C) 5
D) 11/2
E) 2

Solution: Now plug m =63 into the answer choices:   A. (63- 28)/7 =5. This is an integer   B. (63+ 21)/7 = 12. This is an integer   C. 14(63)/98 = 9. This is an integer   D. (63^2 - 49)/49 =80. This is an integer   E. (63+ 14)/14 = 11/2. This is NOT an integer   Answer: 11/2
Answer: D
A company charges a fixed rental of Rs. 350 per month. It allows 200 calls free per month. Each call is charge at Rs. 1.4 when the number of calls exceed 200 per month and it charges Rs. 1.6 when the number of calls exceeds 400 per month and so on. A customer made 150 calls in February and 250 calls in march. By how much percent each call is cheaper in March than each call in February. Choose the correct option:	A) 28%	B) 25%	C) 18.5%	D) 16%	E) None of these

Solution: Solution: Charge per call in February = 350/150 = 7/3 = 2.33   Charge per call in March = [350+(50*1.4)]/250 = 420/250 = 42/25= 
42/25 = 42/25 = around 1.68
1.68   % Cheaper call rate in March= [(2.33-1.68)/2.33]*100 = 28%.   28%nswer: Option 28%
Answer: A
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct choice from the following answers:
A) 19 sec B) 38 sec C) 36 sec D) 16 sec E) 11 sec

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 140 = 360 m.   Time taken = 380/10= 
380/10 = 38
38 sec.   Answer: 38 sec
Answer: B
A person starting with Rs.64 and making 6 bets, wins three times and loses 3times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is?
Choose the correct choice from the following answers
A) Rs.37 B) Rs.56 C) Rs.65 D) Rs.76 E) Rs.81

Solution: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply initial amount by 1.5 thrice and by 0.5 thrice (in any order).   The overall resultant will remain same.   So final amount with the person will be (in all cases):   =64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)==64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs 2727   Hence the final result is:   64−27=3764−27=37:   Rs.37 loss of Rs.37   Rs.37
Answer: A
If the sides of a triangle are 21 cm, 19 cm and 5 cm, what is its area?	Choose the correct choice:
A) 42.25 cm2	B) 57.5 cm2	C) 42.5 cm2	D) 47.5 cm2	E) 52.5 cm2

Solution: The triangle with sides 21 cm, 19 cm and 5 cm is right angled, where the hypotenuse is 21 cm.   Area of the triangle   = 1/2 * 19 * 5= 
1/2 * 19 * 5 = 95/2 = around 47.5
47.5 cm2   Answer: 47.5 cm2
Answer: D
The maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:	Choose the most appropriate option:  A) 91  B) 10  C) 6  D) 5  E) None of these

Solution: Explanation:   Required number of students = H.C.F of 1345 and 775 = 5. Answer: 5
Answer: D
3 people, Amy, Beth, and Cassie, have speeds of 3 mph, 4 mph and 6 mph respectively. They run a race in which Beth gives Amy a head start of 2 hrs. If both Beth and Cassie overtake Amy at the same time, what head start did Cassie give Amy?	Choose the correct choice from the following options.
A) 3 hours B) 4 hours C) 5 hours D) 9 miles E) 10 miles

Solution: Question clearly states that A started first. B started after 2 hours and we need to determine When did C start.   As per the question, we know that All three meet at the same point.   So, we can determine when did A and B meet. The point they will meet would be the same at which C will be present at that time.   So,   A and B will meet after t = 6/(4-3)= 
6/(4-3) = 6
6 hours.   In these 6 hours, B would have covered  4*6= 
 4*6 = 24
24 miles.=> C would also have covered 24 miles and that would be in  24/6= 
 24/6 = 4
4 hours.   Thus, C started 2 hours after B or 4 hours after A. hence, answer is 4 hours.
Answer: B
Set #1 = {A, B, C}
Set #2 = {K, L, M, N, O, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?	Choose the correct choice from the following answers.
A) 1/6
B) 1/3
C) 4/9
D) 2/3
E) 5/6

Solution: So Not a vowel in Set-1 : 2/3   And not a vowel in Ser-2:5/6   Now,   2/3∗5/6=5/9   This is for not a vowel.   Then for at least one vowel will be = 1−5/9=4/9   Answer will be 4/9.
Answer: C
P is a set of four numbers 1, 2, 3 and 1. In every step, one is added to any two numbers in the set P. In how many such steps is it possible to make all the four numbers in the set P equal? Choose the correct choice from the following answers:	A) 4	B) 5	C) 6	D) 1	E) 2

Solution: If all the four numbers are equal, then their sum in the end of the process must be multiple of 4.   Now the sum of the given numbers is equal to 7. Each time we are adding 1 to two of any two numbers, so the sum increases by 2 each time. So the sum never becomes a multiple of 4 as odd + even = always odd.   4nswer:4
Answer: A
If a is a positive integer, and if the units digit of a^2 is 4 and the units digit of (a+1)^2 is 9, what is the units digit of (a+2)^2? Choose the most appropriate option:
A) 0	B) 2	C) 4	D) 6	E) 8

Solution: If the units digit of a^2 is 4, then the units digit of a is either 2 or 8.   If the units digit of (a+1)^2 is 9, then the units digit of a+1 is either 3 or 7.   To satisfy both conditions, the units digit of a must be 2.   Then a+2 has the units digit of 4, thus the units digit of (a+2)^2 will be 6.   The answer is 6.
Answer: D
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400. Choose one.
A) 1278	B) 1900	C) 2888	D) 2771	E) 2322

Solution: 65 * 6 : 84 * 5 : 100 * 3   26:28:20   C share = 74000 * 95/100 = 7030 * 20/74= 
7030 * 20/74 = 1_900
> 1900   Answer: 1900
Answer: B
You have 5 sticks of lengths 20, 30, 40, 50, and 60 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is
Select
A) 3 B) 6 C) 7 D) 10 E) 12

Solution: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.   Based on this there can be only 7 triangles formed: (20, 30, 40), (20, 40, 50), (20, 50, 60), (30, 40, 50), (30, 40, 60), (30, 50, 60), (40, 50, 60).   Answer; 7
Answer: C
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is	Choose the most appropriate option:
A) 20  B) 23  C) 27  D) 150  E) 255

Solution: Explanation:   We know   (x+y)2=x2+y2+2xy   =>(x+y)2=289+2(120)   =>(x+y)=529−−−√=23   Option 23
Answer: B
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 80% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?	Choose the most appropriate option.
A) 1.8 lakh  B) 1.4 lakh  C) 1.9 lakh  D) 8.1 lakh  E) 6.1 lakh

Solution: Explanation:   Total cost of 4 cars = 1+2= 
1+2 = 3
3 lakh   Total SP of 4 cars= 3 x 1.8 = 5.4 lakh   SP of 1 car = 1.2 lakh   SP of rest 3 cars = 5.4 - 1.2= 
5.4 - 1.2 = 4.2
4.2 lakh   Average SP of all the 3 cars= 1.4 lakh   Answer: 1.4 lakh)
Answer: B
The Reserve Bank of India will transfer its surplus profit of 65,896 crore rupees to the Centre. This amount is ___ percent higher than previous year. Choose the most appropriate option.
A) 25% B) 29% C) 35% D) 28% E) 65%

Solution: 25%NSWER: 25%
Answer: A
S1 = 2
S2 = 5
...
Sn = 3n + 4
For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50? Select the correct option:
A) 13
B) 12
C) 14
D) 11
E) 16

Solution: term 16 = 3*16+4= 
3*16+4 = 52
52   Answer : 16
Answer: E
A and B go around a circular track of length 300 m on a cycle at speeds of 18 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?	Select
A) 120 sec  B) 198 sec  C) 60 sec  D) 665 sec  E) 276 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 300/ (90 * 5/18) , 300/ (54 * 5 /18) }   = LCM (12, 20) = 60 sec.   Answer:60 sec
Answer: C
How is 1% expressed as a decimal fraction?  Choose one:
A) 0.1
B) 0.001
C) 0.01
D) 0.0001
E) 1

Solution: 1/100= 
1/100 = 1/100 = around 0.01
0.01   ANSWER:0.01
Answer: C
The average age of three boys is 40 years and their ages are in proportion 6:10:8. What is the age in years of the youngest boy?
Choices
A) 8  B) 10  C) 7  D) 6  E) 5

Solution: 6x + 10x + 8x = 40   x =1.6   6x = 10   Answer:10
Answer: B
In a company, 48 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women? Choose one
A) 85%
B) 80%
C) 75%
D) 70%
E) 65%

Solution: The percent of employees who are unionized and men is 0.7*0.6 = 42%   The percent of employees who are unionized and women is 60 - 42= 
60 - 42 = 18
18%   52% of all employees are women, so non-union women are 52%-18% = 34%   40% of all employees are non-union.   The percent of non-union employees who are women is 34%/40%  52 -18= 
 52 -18 = 34
34%   40% of all employees are non-union.   The percent of non-union employees who are women is 34%/40%= 85%   The answer is 85%.
Answer: A
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?	Choose the correct choice.
A) 17 km/hr  B) 50 km/hr  C) 76 km/hr  D) 55 km/hr  E) 51 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x   = 50 km/hr.   Answer: 50 km/hr
Answer: B
4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8.
What is half of that number?	Choose the correct choice from the following options.
A) 315
B) 310
C) 314
D) 318
E) 319

Solution: Let the number be x. then 4/15 of 5/7 of x-4/9 of 2/5 of x=8<=>4/21x-8/45x=8   <=>(4/21-8/45)x=8<=>(60-56)/315x=8<=>4/315x=8   x=(8*315)/4= 
(8*315)/4 = 630
630<=>1/2x=315   315nswer is 315.
Answer: A
A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $168, how many hours overtime did he work?	Choices: A) 8 B) 5 C) 9 D) 6 E) 10

Solution: 8ns is 8   8t $3 per hour up to 40 hours, regular pay = $3 x 40 = $120 If total pay = $168, overtime pay = $168 - $120 = $48 Overtime rate (twice regular) 168 -  120= 
168 -  120 = 48
$48 Overtime rate (twice regular)= 2 x $3 = $6 per hour => number of overtime hours = $48/$6 = 848/ 6= 
48/ 6 = 8
8
Answer: A
A pump can fill a tank with water in 2 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?  Choose the correct choice from the following.
A) 15hr 10min	B) 16hr 20min	C) 2hr 48min	D) 15hr	E) 14hr 25min

Solution: Work done by the leak in 1 hour = 1/2 - 1/7 = 5/14   Leak will empty the tank in 14/5 hrs = 2hr 48min   Answer is 2hr 48min
Answer: C
A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 500 more than that by the previous schema, his sales were worth?
Choose the correct choice from the following
A) s. 14,000 B) s. 12,000 C) s.16,000 D) s. 40,000 E) s. 50,000

Solution: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 600   X = 16000   ANSWER:s.16,000
Answer: C
A ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches. How much fraction of the ring x surface is not covered by the ring y?  Choose the most appropriate option
A) 13/15	B) 12/4	C) 16/17	D) 22/16	E) 17/81

Solution: The questions asks us to find the surface which is not covered by the ring x i.e., area of the surface not covered.   Where as circumference is the length along the edge of the circle,   2*pi*r implies the length of the curve   pi*r^2 implies area enclosed by that curve..hence Area of the circle is considered for this problem   Area of the ring x=pi* r^2, where r=8   =>pi*64   Area of the ring y=pi*81   Surface not covered by the ring x=pi*81-pi*64=Pi*17   fraction of ring y's surface is not covered by a ring x= Pi*17/total area of the ring y   =>Pi*17/Pi*81   17/81   Answer 17/81
Answer: E
On dividing 21 by a number, the quotient is 10 and the remainder is 1. Find the divisor. Choices
A) 1	B) 2	C) 4	D) 6	E) 7

Solution: d = (D-R)/Q   = (21 - 1)/10   = 20/10= 
20/10 = 2
2   2
Answer: B
Soniya deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much? Options.
A) 9680 B) 9850 C) 9745 D) 9623 E) 9324

Solution: (8000*3*2)/100= 
(8000*3*2)/100 = 480
480   9200   --------   9680   9680NSWER 9680
Answer: A
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?  Answers.
A) Rs.1000  B) Rs.1029  C) Rs.1028  D) Rs.1007  E) Rs.1297

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   Rs.1000nswer: Rs.1000
Answer: A
6 college friends go on vacation together during spring break. Their rental house costs $1250. If each friend pays the same amount and no one has bills smaller than $1, how much money do they pay for the rental? Choose the correct option:
A) $1250
B) $1251
C) $1252
D) $1253
E) $1254

Solution: In order to divide the sum in 6 parts, the amount must be divisible by 6.   Divisibility rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3   Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3   We need to make this number even in order for it to be divisible by 2.   Sum of digits of 1250 = 8 and 12 is divisible by both 3 and yields an even number.   Hence, we need to add 4 to this number for it to be divisible by 6   Correct Option: $1254
Answer: E
30% of all fishermen in Piscataquis County are also hunters while only 20% of all hunters are fishermen. If there are 1500 hunters in Piscataquis County then how many fishermen are there?
Choose the correct choice from the following answers.
A) 800 B) 1000 C) 1200 D) 1500 E) 1800

Solution: 800score Official Solution:   People who do both hunting and fishing make 30% of fishermen and 20% of hunters. There are 1500 hunters so 1500 × 20% = 300 pers. do both hunting and fishing. Same people make 30% of all fishermen.30% of fishermen = 300 pers.   Fishermen = (300 / 30) × 100 pers. = 1000 pers.   The correct answer is choice (1000).
Answer: B
There are two concentric circles with radii 5 and 4. If the radius of the outer circle is increased by 20% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?  Choose one.
A) 56 B) 156 C) 256 D) 356 E) 456

Solution: The area of a circle is piR^2, where R is the radius.   The area of the big circle is 25pi.   The area of the small circle is 16pi.   The area A1 between the circles is 9pi.   When the big circle's radius increases, the new area is 36pi.   When the small circle's radius decreases, the new area is 4pi.   The area A2 between the circles is 32pi.   The ratio of A2/A1 is 32/9 = 3.56 which is an increase of 256%.   The answer is 256.
Answer: C
The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 1. If p is any prime number then f(p)
Choose the correct choice.
A) p-1
B) p-2
C) (p+1)/2
D) (p-1)/2
E) 2

Solution: The confusing moment in this question is its wording. Basically question is: how many positive integers are less than given prime number p which has no common factor with p except 1.   Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).   If we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-2=5.   Answer: p-2.
Answer: B
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Choose the correct choice
A) Rs.10
B) Rs.2
C) Rs.5
D) Rs.3
E) Rs.4

Solution: 1250 = D(100/4)2   D = 2   ANSWER:Rs.2
Answer: B
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $8,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Pick:
A) 10000	B) 12000	C) 16160.8	D) 14000	E) 15000

Solution: A = P(1+r/n)^nt   A= total amount accrued   P = principal deposited   r = rate of interest in decimal form   n = number of times per year, interest compounded   t = time in number of years.   .   x(1+0.02/2)^2 - x = 8,000(1+0.04/4)^4 - 8,000 [ when the principal is subtracted from the total amount accrued , the resulting difference is the interest portion and question states interests are equal)   => x[(1.01)^2 - 1] = 8,000[(1.01)^4 - 1]   => x[(1.01)^2 - 1] = 8,000[(1.01)^2+1][(1.01)^2-1] --> Using a^2-b^2 = a+b X a-b formula and cancel common expression on both sides   => x = 8,000(1.0201+1) =16160.8   Hence answer is 16160.8.
Answer: C
How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even? Choose the correct choice from the following options:
A) 320 B) 720 C) 6480 D) 2160 E) 520

Solution: let last digit is 2   when second last digit is 4 remaining 4 digits can be filled in 120 ways,similarly is second last digit is 6 remaind 4 digits can be filled in 120 ways,   so for last digit=2,total numbers=240   last digit=4,tot no=240   and last =6,tot no=240   so total of 720 even numbers are possible   ANSWER:720
Answer: B
If 8 is added to twice a number and this sum is multiplied by 4, the result is the same as if the number is multiplied by 4 and 8 is added to the product. What is the number?	Choose the correct answer: A) -6 B) -8 C) -9 D) 10 E) 11

Solution: let the number be x;   4(8+2x)=4x+8;   x=-6   -6NSWER:-6
Answer: A
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: Choose the correct choice:
A) Rs. 650
B) Rs. 690
C) Rs. 698
D) Rs. 700
E) Rs. 712

Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 3 years = Rs.(39 x 3) = Rs. 117.   Principal = Rs. (815 - 117) = Rs. 698.   Answer: Option Rs. 698
Answer: C
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Irin bake? Choose the correct choice from the following answers
A) 0.125%  B) 1.25%  C) 55.4%  D) 125%  E) 0.152%

Solution: 9.18x+5.17x+2.05x = 16.4x 9.18 +5.17 +2.05= 
9.18 +5.17 +2.05 = 16.4
16.4x= 148 cookies   x= 148/16.4 = 9 (approx)   So, Irin baked 9*9.18 cookies or 82 cookies (approx)   % share = 82/148 = 55.4 approx   Hence, answer is 55.4%.
Answer: C