MU-NLPC/Calc-aqua_rat huggingface dataset:
Which of the following is a possible length for side AB of triangle ABC if AC = 5 and BC = 9?
I. 4
II. 9 √3
III. 13.5
Choose the correct choice from the following options.
A) I only	B) II only	C) III only	D) II and III	E) I, II, and III

Solution: (9-5) < AB < (9+5)   The answer is III only.
Answer: C
There is a vertical stack of books marked 1, 2, and 3 on Table-A, with 1 at the bottom and 3 on top. These are to be placed vertically on Table-B with 1 at the bottom and 2 on the top, by making a series of moves from one table to the other. During a move, the topmost book, or the topmost two books, or all the three, can be moved from one of the tables to the other. If there are any books on the other table, the stack being transferred should be placed on top of the existing books, without changing the order of books in the stack that is being moved in that move. If there are no books on the other table, the stack is simply placed on the other table without disturbing the order of books in it. What is the minimum number of moves in which the above task can be accomplished? Select
A) One  B) Two  C) Three  D) Four  E) None

Solution: Explanation :   1:2-3 moved to B   2:3 moved to A,   3:2 moved to A,   4: whole series shifted to B.   Hence, minimum number of moves is 4 .   Answer : Four
Answer: D
An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 74 hours to complete, how many miles was the car driven during the entire test?	Choose the correct choice.
A) 310	B) 320	C) 300	D) 360	E) 400

Solution: x is the segment to be traveled   x/4+x/5+x/6 =74   or 74x/120 =74   x = 120 miles . total distance =3*120= 
3*120 = 360
360 miles   360
Answer: D
A can complete a project in 30 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed? Choose one.
A) 18 days	B) 27 days	C) 26.67 days	D) 5 days	E) 12 days

Solution: Let X = the number of days taken to complete the project.   The amount of work done by A is (x-10) * (1/20).   The amount of work done by B is (x) * (1/30).   (1/30)*(x-10) + (1/30)*(x) = 1   (x/30) + (x/30) - (10/30) = 1   2x/30 = 1/3   x =5   Therefore, the answer is 5 days: 5.
Answer: D
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?  Choose the correct option.
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: 160 = (180*4*R)/100   R = 5%.5nswer: 5
Answer: A
What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Pick one
A) 2
B) 4
C) 5
D) 6
E) 7

Solution: 23) 1056 (45   92   ---   136   115   ---   21   ---   Required number = (23 - 21)= 
(23 - 21) = 2
2.   2)
Answer: A
A and B started a business with initial investments in the ratio 2 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ? Choose the most appropriate option: A) 6 months B) 8 months C) 9 months D) 5 months E) 7 months

Solution: Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 2 : 3.   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (2 × 12) / (3 × a) = 8 / 7 => 24a = 168 or   a = 168 / 24= 
168 / 24 = 7
7 or 7 months   Option 7 months
Answer: E
A and B are two circles. The radius of A is 5 times as large as the radius of B. What is the ratio between the areas of the circles?	Choose the most appropriate option
A) 1:8.	B) 1:2.	C) 1:4.	D) 1:25.	E) 1:6.

Solution: Given : The radius of A is 5 times as large as the radius of B. => R(a) = 5R(b). The radius are in ratio of 1:5 thus the area will be in the ratio of square of radius. 1:25. Hence 1:25..
Answer: D
Arun has 13 boxes of chocolates with him, with an average of 17 chocolates per box. If each box has at least 11 chocolates and no two boxes have equal number of chocolates, then what can be the maximum possible number of chocolates in any box?	Choose the correct choice from the following choices.
A) 23 B) 25 C) 29 D) Can't be determined E) None of these

Solution: DETAILED SOLUTION   Total number of chocolates = 13 x 17 = 221   For one box to have maximum number of chocolates, the other boxes need to have minimum number of chocolates i.e. 11, 12, ………………….., 22   Total = 11 x 12 + (0+1+2+……………+11)   = 132 + 66= 
132 + 66 = 198
198   Therefore, maximum possible chocolates= 221 – 198 = 23   CORRECT 23NSWER 23.
Answer: A
If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?
Please try to explain your answers Choose the correct answer:
A) 0 B) 20 C) 50 D) 75 E) 100

Solution: First even minus first odd = 2-1= 
2-1 = 1
1;   The sum of first 2 even integers minus the sum of first 2 odd integers= (2+4)-(1+3)= 
(2+4)-(1+3) = 2
2;   The sum of first 3 even integers minus the sum of first 3 odd integers= (2+4+6)-(1+3+5)= 
(2+4+6)-(1+3+5) = 3
3;   We can see the patterns here, so the sum of first 20 positive even integers minus the sum of first 20 positive odd integers will be 20.   Answer: 20
Answer: B
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? Choose the correct choice from the following choices:
A) 186 ways B) 177 ways C) 188 ways D) 108 ways E) 189 ways

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 12= 
  9 * 12 = 108
108 ways.   Answer:108 ways
Answer: D
A sock drawer contains eight socks, each one a different solid color. The colors of the socks are pink, red, orange, yellow, green, blue, indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?	Pick:
A) 24
B) 240
C) 1,024
D) 2,520
E) 40320

Solution: I see no condition for arrangement.   So 8! ways - IMO option 40320 is correct answer..
Answer: E
If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. (xy)^2 is positive integer III. (y^2 - x) is positive integer  Choose the most appropriate option:  A) I only  B) II only  C) II,III only  D) III only  E) none of these

Solution: I. It is true if 3x < 2y   II. It is always positive   III. It is true   Answer : II,III only
Answer: C
Find the odd man out
1, 2, 5, 14, 41, 124 Choose one:
A) 2  B) 14  C) 124  D) 41  E) 21

Solution: 1*3-1= 
1*3-1 = 2
2   2*3-1= 
2*3-1 = 5
5   5*3-1= 
5*3-1 = 14
14   14*3-1= 
14*3-1 = 41
41   41*3 -1= 
41*3 -1 = 122
122   ANSWER:124
Answer: C
A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability Q that both selected dogs are NOT littermates?
Select: A) 1/6 B) 2/9 C) 5/6 D) 7/9 E) 8/9

Solution: We have three pairs of dogs for the 6 with exactly one littermate, and one triplet, with each having exactly two littermates.   So, in fact there are two types of dogs: those with one littermate - say A, and the others with two littermates - B.   Work with probabilities:   Choosing two dogs, we can have either one dog of type B or none (we cannot have two dogs both of type B).   The probability of choosing one dog of type B and one of type A is 3/9 * 6/8 * 2 = 1/2 (the factor of 2 for the two possibilities BA and AB).   The probability of choosing two dogs of type A which are not littermates is 6/9 * 4/8 = 1/3 (choose one A, then another A which isn't the previous one's littermate).   The required probability is 1/2 + 1/3 = 5/6.   Find the probability for the complementary event: choose AA or BB.   Probability of choosing two dogs of type A who are littermates is 6/9 * 1/8 = 1/12.   Probability of choosing two dogs of type B (who necessarily are littermates) is 3/9 * 2/8 Q= 1/12.   Again, we obtain 1 - (1/12 + 1/12) = 5/6.   Answer: 5/6
Answer: C
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?  Choose the correct choice from the following answers:
A) 10 years  B) 12 years  C) 14 years  D) 15 years  E) 16 years

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 27   5x = 25   x = 5.   Hence, B's age = 2x = 10 years.   10 years)
Answer: A
Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 25 litres of tomato juice? Choose the most appropriate option:
A) 2.8 liters. B) 3.125 liters. C) 8.5 liters. D) 2.6 liters. E) 2.1 liters.

Solution: Answer:   Explanation:   In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.   â‡’â‡’ 10%(25) = 80%(x)   â‡’â‡’ x = 3.125 liters.   Answer:3.125 liters.
Answer: B
By selling an umbrella for Rs. 300, a shop keeper gains 300%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?  Choose the correct choice.
A) 1000	B) 1100	C) 1150	D) 1300	E) 1200

Solution: Marked price = Rs. 200   C.P. = 100/400 * 200 = Rs. 25   Sale price = 90% of Rs. 200 = Rs. 180   Required gain % = 300/25 * 100= 
300/25 * 100 = 1_200
1200%.   Answer:1200
Answer: E
Which is the following is divisible by 11 Pick.
A) A)4305  B) B)4825  C) C)4805  D) D)4905  E) E)654

Solution: 654xplanation:   Sum of first 'n' natural numbers = n(n + 1)/2   Sum of first 9 natural numbers = 3(3 + 1)//2 = 3 x 2 = 6   Sum of first 99 natural numbers = 33(33 + 1)//2 = 33 x 20 =660   660- 6= 
660- 6 = 654
654   Answer: Option 654
Answer: E
Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $700, how many sales has Matt made?
Pick one
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Let, Average Commission = x   No. of items sold = y   Total Commission = xy   New Commission = xy+1000   New Average = (xy+1000) / (y+1) = 150+x   i.e. (xy+1000) = (y+1)* (150+x)   i.e. (xy+1000) = (xy+x+150y+150)   i.e. (850) = (x+150y)   New Commission = 700 = 150+x   i.e. x=550   i.e. y = 2   New Sales = y+1 = 3   3nswer: option 3
Answer: A
Sid obtained 76, 65, 82, 67 and 80 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?  Options
A) A)87 B) B)99 C) C)68 D) D)82 E) E)74

Solution: Average = (76 + 65 + 82 + 67 + 80)/5   = 370/5= 
370/5 = 74
74.   Answer:74
Answer: E
How many integer values are there for x such that 1 < 3x + 5 < 17?
Select:	A) Two	B) Three	C) Four	D) Five	E) Six

Solution: The inequality given is 1 < 3x+5 < 17   it can further reduced to -4 < 3x < 12   finally -4/3 < x < 4   So can only take 5 integer values i.e. -1,0,1,2,3   Correct answer - Five
Answer: D
Nine persons went to a hotel for taking their meals. Eight of them spent Rs 12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them? Choose the correct choice from the following options:
A) 117 B) 180 C) 150 D) 200 E) 250

Solution: Exp. Let the total expenditure be x, Then the average = x/9,   8*12+ [x/9+8] =x or [ x-x/9] =104.   8x/9 = 104, x =104*9/8= 
104*9/8 = 117
117.   117nswer: 117
Answer: A
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose? Pick:
A) 110	B) 120	C) 130	D) 140	E) 150

Solution: Solution:   Let xx be the number he chose, then   2⋅x−138=102   2x=240   x=120   Answer 120
Answer: B
How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 38 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb? Choose one
A) 2  B) 5  C) 8  D) 15  E) 25

Solution: Selling price is 48 cents/lb   For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)   Basically, you need to mix 38 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)   weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 38)= 
(50 - 40)/(40 - 38) = 5
5/1   We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 8 lbs.   Answer (8)
Answer: C
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answers:
A) 752	B) 278	C) 289	D) 750	E) 278

Solution: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 25 è x = 25 * 60 / 2= 
25 * 60 / 2 = 750
750   Answer:750
Answer: D
The smallest value of n, for which 2n+1 is not a prime number, is Choices:
A) 3	B) 4	C) 5	D) None	E) 6

Solution: Solution   (2×1 + 1)	= 3.   (2×2 + 1)	= 5.   (2×3 + 1)	= 7.   (2×4 + 1)	= 9.   which is not prime ,	n=4.   Answer 4
Answer: B
How many pages the book have, if total 303 digits are used to form the page numbers?
Choose the most appropriate option.
A) 135 pages	B) 136 pages	C) 137 pages	D) 138 pages	E) 139 pages

Solution: First 9 pages .. 9 digits   next 90 pages .. 180 digits   next 38 pages ... 114 digits   ----------------------   Total ...137 pages ...303 digits   ANSWER:137 pages
Answer: C
The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 126° of the circle, what percentage of MegaTek employees are in manufacturing? Choose the correct choice from the following options.
A) 20%	B) 25%	C) 30%	D) 35%	E) 70%

Solution: ANSWER: 35% 126° divided by 360° equals 0.35, therefore the sector is equal to 35% of the total
Answer: D
in a school the ratio of boys and girls are in the ration 5:6 .25% of boys will get scholar ship and 20% of girls will get scholar ship what % of students wont get scholarship?
Choose the correct choice.
A) 60%	B) 78%	C) 88%	D) 98%	E) 99%

Solution: Boys : Girls => 5x : 6x   Total no. of students including boys nd girls = 5x+6x = 11x   25% of boys 5 +6= 
5 +6 = 11
11x   25% of boys=> 5x*25/100 = 5x/4   20% of girls => 6x*20/100 =6x/5   No. of students who are getting scholarship => 5x/4 + 6x/5 = 49x/20   No. of students who are not getting scholarship = 11x - 49x/20 = 171x/20   % of students not getting scolorship => 171x/20/11x * 100   => 100*171x/220x   = 77.7%   ANSWER:78%
Answer: B
How many positive integer solutions does the equation 2x+1y = 100 have?	Choose the correct choice from the following answers.
A) 44
B) 33
C) 50
D) 35
E) 14

Solution: formula: (constant)/(lcm of two nos)   =100/(2*1)= 
100/(2*1) = 50
50   ANSWER:50
Answer: C
A travel agent offers a vacation plan which costs x dollars for the first day, and x/2 for each additional day.
How much does a vacation of y days cost, where y > 1.
Choose the correct option:  A) yx/2  B) (yx+x)/2  C) (yx+x)/3  D) (yx+x)/5  E) (yx+x)/6

Solution: Cost = x + (y-1)*x/2 = (2x + (y - 1)*x)/2 = (yx+x)/2   Answer is (yx+x)/2
Answer: B
If n is an integer, then which of the following statements is/are FALSE?
I)n^3 – n is always even.
II)8n^3 +12n^2 +6n +1 is always even.
III)√ (4n^2 – 4n +1) is always odd.  Options:  A) I only  B) II only  C) I and II only  D) II and III only  E) I, II and III

Solution: 1) n^3 – n   n^2(n-1)   two cases   if n=odd then n-1 is even thus n^2(n-1) is even   if n=even then n^2 is even thus n^2(n-1) is even------>true for all cases   2) 8n^3 +12n^2 +6n +1   8n^3 +12n^2 +6n=Even   but Even +1 =odd------------>Always False   3) for this i tried picking number upto 15 and find all cases True------>True   However will be looking for any algebraic solution   Ans II only
Answer: B
k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ? Select the correct option
A) 2162
B) 2112
C) 2160
D) 2212
E) 2100

Solution: => 60x5 : 36x6 : 75x3   => 100 : 72 : 75   => 72/247 x 7410 = Rs.2160   Answer: 2160
Answer: C
A car drives 60 miles on local roads at 20 mph, and 120 miles on the highway at 60 mph, what is the average speed of the entire trip?	Pick one:
A) 36 mph  B) 40 mph  C) 44 mph  D) 52 mph  E) 58 mph

Solution: So The Answer is Plainly A....   we have a general relation for speed , time and distance : v (velocity) * t ( time)= d (distance)   for first part we have d=60 miles , and v= 20 mph so we can obtain time : 20*t = 60 Or t= 60/20= 
60/20 = 3
3 hours the needed time to cover 60 miles   in the same way we should divide 120 to 60 to find the needed time to cover 120 miles ,so t= 2 hours   so the total time for covering total distance would be  3+2= 
 3+2 = 5
5 hours and total distance is   60+120= 
  60+120 = 180
180 miles   Final stage : average speed is total distance divide to total time : 180/5= 
180/5 = 36
36 miles per hour....
Answer: A
A barrel holds 4 quarts of tar and 4 quarts of turpentine. How many quarts of turpentine must be added to the container to create a mixture that is 3 parts tar to 5 parts turpentine by volume? Choose the correct option
A) 4/3 B) 5/3 C) 7/3 D) 8/3 E) 10/3

Solution: An alternate to the alligation method is the more direct/algebraic method:   Let x be the amount of turpentine to be added.   New total amount of turpentine = 4+x   Total amount of tar= 4   New total = 4+4+x=8+x   Final ratio required (for turpentine) = 5/(5+3)=5/8   Thus, (4+x)/(8+x) = 5/8 --> solving for x you get x = 8/3.   8/3 is thus the correct answer.
Answer: D
Mice can multiply very fast. Adult mice can give birth once every month, and baby mice grow into adult mice in just two months after they are born. If you would buy a baby mouse just after it was born, how many mice would you have in 10 months?  Choose one
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: One. You cannot have more mice if you start with one!   1nswer 1
Answer: A
Find the number of ways in which 5 identical balls can be distributed among 10 identical boxes, if not more than one ball can go into a box?
Options:
A) 21 B) 252 C) 78 D) 145 E) 312

Solution: Required number of ways = 10C5 = 10!/5!5! = 252   Answer is 252
Answer: B
Sum of 3 consecutive even no.'s is 38 more than the 1st no. of the series. Find the middle no.?	Choices:
A) 8	B) 12	C) 14	D) 16	E) 18

Solution: Let the numbers be x, x+2 and x+4 then   x + x+2 + x+4 = x+38   3x + 6 = x + 38   2x = 32   \inline \therefore x = 16   \inline \therefore Middle number = x + 2 = 16+2= 
16+2 = 18
18   18
Answer: E
Joshua and Jose work at an auto repair center with 6 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?  Pick one:
A) 1/15
B) 1/12
C) 1/28
D) 1/6
E) 1/3

Solution: Two Methods   1) Probability of chosing Josh first = 1/8   Probability of chosing Jose second = 1/7   total = 1/56   Probability of chosing Jose first = 1/8   Probability of chosing Josh second = 1/7   Total = 1/56   Final = 1/56+ 1/56 = 1/28   1/28
Answer: C
A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 75,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes?
Options:
A) a) 250	B) b) 750	C) c) 1,000	D) d) 1,250	E) e) 1,500

Solution: Since N = 2F, no of Florida zip codes (F) will be N/2.   Since N = 4a) 250, no of a) 250rizona zip codes (a) 250) will be N/4   Since N = (4/3)C, no of California zip codes (C) will be 3N/4   N + N/2 + N/4 + 3N/4 = 5N/2 = 250   N = 100   C = 3N/4 = 75   No of orders is 25% of 75,000 = 18,750   So required ratio = 18,750/75 = 250   a) 250nswer a) 250
Answer: A
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
Options:
A) 2277
B) 2888
C) 2988
D) 4266
E) 1781

Solution: CI = 14800{ [ 1 + 13.5/100]2 - 1 }   = 14800 { [1 + 27/200]2 - 1   = 14800 { 2 + 27/200}{27/200}   = (74)[2 + 27/200](27) =   1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266   Answer: 4266
Answer: D
For any four digit number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d). What is the value of (n – m) if m and n are four digit numbers for which *m* = (3^r)(5^s)(7^t)(11^u) and *n* = (25)(*m*)?	Select the correct option:
A) 2000
B) 200
C) 25
D) 20
E) 2

Solution: bcd is a four digit number where a, b, c and d are the 4 digits.   *abcd*= (3^a)(5^b)(7^c)(11^d). The '**' act as an operator.   Given: *m* = (3^r)(5^s)(7^t)(11^u)   So m = rstu where r, s, t, and u are the 4 digits of m.   Say, r = 1 and s = 0, t = 0 and u = 0   m = 1000   Then *m* = 3   Now,   *n* = (25)(*m*) = 25(3) = (3^1)(5^2)(7^0)(11^0)   n = 1200   n - m = 1200 - 1000= 
1200 - 1000 = 200
200   ANSWER:200
Answer: B
Ajay can ride 50km in 1 hour. In how many hours he can ride 1500km? Choose the correct choice from the following choices:
A) 30hrs	B) 15hrs	C) 20hrs	D) 25hrs	E) 18hrs

Solution: 1 hour he ride 50km   he ride 1500km in = 1500/50 * 1= 
1500/50 * 1 = 30
30hours   30hrsnswer is 30hrs
Answer: A
A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.  Choose the correct choice from the following answers
A) Rs 25300	B) Rs 22300	C) Rs 24300	D) Rs 21300	E) None of these

Solution: Explanation:   This type of question can be easily and quickly solved as following:   Let at Rs x it can earn 15% pr0fit   85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]   x = (18700*115)/85   = Rs.25300   Rs 25300nswer: Rs 25300
Answer: A
For all integers a and b, a%b = (a + b)(a - b). If 9%x = 17, then which of the following could be a value of x? Select the correct option:
A) -8
B) -7
C) 2
D) 3
E) 6

Solution: 9%x = (9+x)(9-x)   81-x^2 = 17   x^2 = 64   x=-8,8   -8ns: -8
Answer: A
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?  Options.
A) 920  B) 289  C) 999  D) 270  E) 267

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 1.5= 
666 * 1.5 = 999
999   Answer:999
Answer: C
An aeroplane covers a certain distance at a speed of 300 kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of: Choose the correct answer.
A) 1008 kmph
B) 760 kmph
C) 1080 kmph
D) 1070 kmph
E) none

Solution: Explanation: Distance = (300 x 6) = 1800 km.   Speed = Distance/Time   Speed = 1800/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]   Required speed = 1800 x 3/5 km/hr = 1080 km/hr.   Answer: Option 1080 kmph
Answer: C
If each edge of cube increased by 30%, the percentage increase in	Choose the correct choice from the following choices
A) 69
B) 72
C) 64
D) 61
E) 75

Solution: 100 × (130)/100 × (130)/100 = 169 => 69%   69nswer is 69.
Answer: A
In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women? Select the correct option:
A) 10
B) 20
C) 30
D) 40
E) 50

Solution: 6C3   = 6!/(3! . 3!)   = (6 × 5 × 4)/(3 × 2)   = 5 × 4 = 20   20)
Answer: B
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choose the correct choice from the following answers:
A) 2882 B) 2277 C) 2697 D) 6725 E) 2681

Solution: CP = SP * (100/(100 + profit%))   = 8339(100/124)   = Rs. 6725.   Answer:6725
Answer: D