MU-NLPC/Calc-aqua_rat huggingface dataset:
First code word is defined to be a sequence of 5 different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J,
Second code word is defined to be a sequence of 5 different letters chosen from the 11 letters A, B, C, D, E, F, G, H, I,J and K.
What is the ratio of the number of code words that can be formed from First Code to the Second Code.
Choose one:
A) 1 to 1	B) 5 to 11	C) 6 to 11	D) 11 to 6	E) 11 to 5

Solution: First 6 to 11ode word can be formed from permutation of 10 letters to form 5 letters word = 10P5 = 10!/5!   Second 6 to 11ode word can be formed from permutation of 11 letters to form 5 letters word = 11P5 = 11!/6!   Ratio of the number of code words that can be formed from First 6 to 11ode to the Second 6 to 11ode   = (10!/5!) / (11!/6!)   = 10*9*8*7*6 / 11*10*9*8*7   = 6/11   Answer: 6 to 11
Answer: C
A standard Veggiematik machine can chop 30 carrots in 5 minutes. How many carrots can 4 standard Veggiematik machines chop in 4 minutes?  Choose the correct option
A) 88 B) 90 C) 96 D) 121 E) 137

Solution: Direct Relationship:-   1 standard Veggiematik machine - 30 96arrots - 5 minutes,   1 standard Veggiematik machine - 6 96arrots - 1 minute,   Now   4 standard Veggiematik machine - ? 96arrots - 4 minutes,   Hence = 6X4X4 =96 96arrots   Answer 96
Answer: C
If shares of two persons in profits are Rs.300 and Rs.600 then ratio of their capitals is
Pick.
A) 3:4
B) 2:3
C) 4:3
D) 1:3
E) 1:2

Solution: total profit =1000   ratio=300/600   =1:2   ANSW1:2R:1:2
Answer: E
In how many ways the letters of the word COMPUTER be arranged?  Pick:
A) 40320
B) 42334
C) 45000
D) 34200
E) 76581

Solution: Total ways of arranging the letters = 8! = 40320 ways.   40320)
Answer: A
Set S consists of integers {2,3,4,5}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 5?	Select the correct option
A) 5/6	B) 1/2	C) 2/3	D) 1/4	E) 2/7

Solution: Number of ways you can choose 2 from 4 = 4C2 = 6   E = event of getting the 2 numbers is more than 5 = (2,4),(2,5),(3,4)(3,5),(4,5) = 5   probability = 5/6   5/6nswer is 5/6
Answer: A
The product of first twelve positive integers is divisible by all of the the following EXCEPT?  Options
A) 210 B) 88 C) 75 D) 60 E) 34

Solution: The product of the first twelve positive integers, 12!12! contains only the primes less than 12 (2, 3, 5, 7, 11), which means that the product won't be divisible by any number containing higher prime number.   Now, you can notice that 34= 2*17= 
 2*17 = 34
34 too.   Answer: 34.
Answer: E
Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 5 seconds.What is the length of the fast trian?	Choose the correct choice from the following answers.
A) 23 m  B) 23 2/9 m  C) 27m  D) 27 7/9m  E) 29 7/9m

Solution: relative speed=20kmph=50/9m/sec   length of the train=50/9*5=250/9=27 7/9m   ANSWER:27 7/9m
Answer: D
Set S is the prime integers between 0 and 40. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd? Choices:
A) 15/56
B) 3/8
C) 15/28
D) 5/8
E) 3/4

Solution: Total number of combinations=12C3=220................(1)   Total number of combinations including 2 and two other numbers=11C2=55......................(2)   Therefore the difference ie. (1)-(2) is the set of 3 primes without 2=(220-55)= 
(220-55) = 165
165   So, probability=165/220=3/4   3/4
Answer: E
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Pick one
A) 20/67  B) 20/63  C) 20/28  D) 20/29  E) 20/21

Solution: Required probability   = (⁵C₃ . ⁴C₁)/⁹C₄   = (10 * 4)/126   = 20/63   Answer: 20/63
Answer: B
What is the total number of integers between 10 and 50 that are divisible by 2?	Select the correct option: A) 18 B) 19 C) 22 D) 25 E) 10

Solution: 12, 14, 16, ..., 46,48   This is an equally spaced list; you can use the formula:   n = (largest - smallest) / ('space') + 1 = (48 - 12) / (2) + 1 = 36/2 + 1 = 18 + 1= 
18 + 1 = 19
19   Answer is 19
Answer: B
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 80 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?  Choose the correct choice.
A) 53
B) 66
C) 60
D) 85
E) 80

Solution: Yes, ensure that you understand the relation thoroughly!   Cost per liter = K * Fraction of Spirit   80 cents is the cost of 2 liters of solution (1 part water, 1 part spirit). So cost per liter is 40 cents. Fraction of spirit is 1/2.   40 = K * (1/2)   K = 80   Cost per liter = 80 * (1/3) (1 part spirit, 2 parts water)   Cost for 3 liters = 80 * (1/3) * 3= 
80 * (1/3) * 3 = 80
80 cents   E. 80 cents
Answer: E
Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/12 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $21 more than Eliot in his account. How much money does Eliot have in his account right now? Options:
A) $110  B) $120  C) $180  D) $220  E) $210

Solution: Lets assume Al have amount A in his bank account and Eliot's bank account got E amount. We can form an equation from the first condition.   A-$210 = 1/12*(A+$210) ==> 11A = 13$210 ------------ (1)   Second condition gives two different amounts, Al's amount = 1.1A and $210liot's amount = 1.2$210   1.1A = 21 + 1.2$210 ==> 11A =210 +12$210 -------(2)   Substituting (1) in (2):   13$210 = 210+12$210 ==>$210 = 210   $210
Answer: E
Three maths classes: X, Y and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and average score of class Y and Z is 81. What is the average score of classes X, Y, Z?	Options:
A) 81.5
B) 80.5
C) 83
D) 78
E) 87

Solution: Let the number of students in classes X, Y and Z be A, B and C respectively.   Then, total score of X= 83A, total score of Y = 76B, total score of Z = 85C.   Also given that,   (83A + 76B) / (A + B) = 79   =>4A = 3B.   (76B + 85C)/(B + C) = 81   =>4C = 5B,   =>B = 4A/3 and C = 5A/3   Therefore, average score of X, Y, Z = ( 83A + 76B + 85C ) / (A + B + C) = 978/12 = 81.5.   81.5NSWER:81.5
Answer: A
Find the cost price of an item if by selling at Rs.890, a profit of 15% is made?
Answers
A) Rs.256  B) Rs.756  C) Rs.656  D) Rs.956  E) Rs.356

Solution: SP = 890   CP = (SP)*[100/(100+P)]   = 890 * [100/(100+15)]   = Rs.756   Answer: Rs.756
Answer: B
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:	Answers.
A) 2:3  B) 6:7  C) 4:3  D) 9:16  E) 10:2

Solution: Let us name the trains as A and B. Then,   (A's speed) : (B's speed) = âˆšb : âˆša = âˆš16 : âˆš9 = 4 : 3.   ANSWER 4:3
Answer: C
An amount of money is to be divided between R, S and T in the ratio of 3:6:12. If the difference between the shares of R and S is Rs.1800, what will be the difference between S and T's share?
Choose one.
A) 1266	B) 3000	C) 2866	D) 3600	E) 2678

Solution: 6-3 =3.... > 1800   12-6= 
12-6 = 6
6=> 1800/3*6= 
1800/3*6 = 3_600
3600   Answer: 3600
Answer: D
How many positive integers less than 240 are multiple of 4 but NOT multiples of 6? Choose the correct choice from the following answers:
A) 40
B) 31
C) 42
D) 53
E) 64

Solution: From here, it might be easier to go up in bounds of 60, so we know that 61-120 gives 10 more numbers. 121-180 and 181-240 as well. This brings us up to 240 with 40 numbers. A cursory glance at the answer choices should confirm that it must be 42, as all the other choices are very far away. 40nswer choice 40 is correct here.
Answer: A
The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than A Choose the correct choice from the following.
A) A)11
B) B)12
C) C)13
D) D)14
E) E)15

Solution: 15xplanation:   Given that A+B = 15 + B + C   => A – C = 15 + B – B = 15   => C is younger than A by 15 years   Answer: Option 15
Answer: E
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds Y that it is an ace?	Choices:
A) 1/52
B) 1/26
C) 1/13
D) 1/4
E) 5/13

Solution: The question should ask about the probability not the odds.   There are 13 spades, the probability Y that the spade we already have is an ace is therefore 1/13.   Answer: 1/13.
Answer: C
Let d > c > r > a. If c is twice as far from a as it is from d, and r is twice as far from c as it is from a, then (d - r)/(d - a) = ? Choose one:
A) 2/9	B) 1/3	C) 2/3	D) 7/9	E) 3/2

Solution: Draw a number line and label with x and y. You would have:   Before calculating recognize it would be more effcient to express x or y in terms of the other. here 2x = 3y so x =3/2 y.   Now you can calculate d -r and d -a   d - r= x +2y = 7/2 y   d - a = x + 2x = 3x = 9/2y   7/9ividing both you get: 7/9   Answer 7/9
Answer: D
If a, g, and c are consecutive even integers and a < g < c, all of the following must be divisible by 4 EXCEPT
Select:
A) a + c  B) g + c  C) ac  D) (bc)/2  E) (abc)/4

Solution: I did get the correct answer within 80 seconds and it was not by luck either. I did not pick numbers but just used the concept stated by Ian.   The 3 numbers can be written as   a, (a + 2)(a + 4).   If 'a' is divisible by 4, then even 'c' or 'a + 4' is divisible by 4. However, is 'b' is divisible by 4, then both 'a' and 'a + 4' are still divisible by 2.   A - (a + c) = a + (a + 4) = 2a + 4 = 2(a + 2) = 2b. 2b will always be divisible by 4 even if 'b' is not divisible by 4. Reason: 'b' already has a prime factorization of at least a '2'. Hence '2b' has two 2s.   C - ac = a(a+4). If, as stated above, one of them is divisible by 4, then the product is divisible. If both of them are not divisible by 4, then the product is still divisible by 4 because of the presence of two 2s again in the prime factorization.   D - bc/2 = (a + 2)(a + 4)/2. Either b or c is divisible by 2. Hence, if we assume that b is divisible by 2 and not divisible by 4, then it leaves us just one possibility. Is c divisible by 4? It has to be because c is the next consecutive even integer.   E - abc/4 = a(a + 2)(a + 4)/4. One of these integers is divisible by 4 already. If we again assume 'b' to be that integer divisible by 4, then we are left with the question - Is a(a + 4) divisible by 4? This is the same as option C.   B - g + c = (a + 2) + (a + 4) = 2a + 6 = 2(a + 3). (a + 3) will never be divisible by 2 because it is an odd integer. Hence, 2(a + 3), although divisible by 2, will not be divisible by 4 because it has just one 2 in its prime factorization.   As a whole, whether you choose numbers (2, 46 being the easiest) or solve conceptually, the answer is still easily obtainable within 2 minutes.g + c
Answer: B
A bag contains 3red, 2blue and 3green balls. If 2 ballsare picked at random, what is the probability that both are red?	Choose the most appropriate option
A) 2/21
B) 3/41
C) 3/28
D) 3/31
E) 5/32

Solution: P(Both are red),   =33/282/83/282=63/282133/282   =3/28   3/28
Answer: C
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 51 kmph, find the speed of the stream?	Choices.
A) 12 kmph	B) 13 kmph	C) 14 kmph	D) 15 kmph	E) 17 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 51/3= 
51/3 = 17
17 kmph   ANSW17 kmphR:17 kmph
Answer: E
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?  Pick:
A) 1/7	B) 2/8	C) 3/9	D) 4/5	E) 113/7

Solution: 113/7xplanation:   (x â€“ 5)/15 + x/20 = 1   x = 11 3/7 days   Answer:113/7
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?	Options:
A) 287
B) 699
C) 677
D) 168
E) 100

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 6= 
50/3 * 6 = 100
100 m   Answer: 100
Answer: E
box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?	Pick one:	A) 1/129	B) 1/124	C) 1/128	D) 1/139	E) 1/126

Solution: Out of nine, five are good and four are defective. Required probability   = ⁴C₄/⁹C₄   = 1/126   Answer: 1/126
Answer: E
Mean of 3 numbers is 10 more than the least of the numbers and 15 less than greatest of the 3. If the median of 3 numbers is 5, Find the sum of the 3 numbers?  Choose the most appropriate option
A) 33  B) 30  C) 28  D) 27  E) 01

Solution: Ans: Median is when the given numbers are arranged in ascending order, the middle one. Let the numbers are x, 5, y where x is the least and y is greatest.   Given that x+5+y3=x+10x+5+y3=x+10   and x+5+y3=y−15x+5+y3=y−15   Solving we get x = 0 and y = 25.   So sum of the numbers = 0 + 5 + 25= 
0 + 5 + 25 = 30
30   Answer:30
Answer: B
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number V is  Choices:
A) 74
B) V=75
C) V=175
D) V=680
E) 690

Solution: I solved this question by plugging in numbers from the answer choices.   A.) 74   Starting with answer choice A, I immediately eliminated it because 74 is not even divisible by 5.   B.) 75   I divide 75/5 and get 15 as an answer. I divide 75/34 and get a remainder of 7.   15-7= 
15-7 = 8
8 so I know the correct answer isV=75
Answer: B
Insert the missing number
2, ..., 8, 16, 32, 64, 128, 256 Choose the correct choice:
A) 6  B) 5  C) 4  D) 3  E) 8

Solution: series is 2* Previous Number.   ANSWER:4
Answer: C
According to a survey, at least 75% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?  Choose one:
A) 15%
B) 20%
C) 25%
D) 0%
E) 30%

Solution: It seems that something is wrong with your answer options.   1) minimum applesbananas:   [XXXXXXXXXXXXXX------] - apples   [-----XXXXXXXXXXXXXXX] - bananas   mimimum ab = 75 - (100-75)= 
75 - (100-75) = 50
50%   2) minimum (applesbananas)cherries:   [XXXXXXXXX-----------] - applesbananas   [----XXXXXXXXXXXXXXXX] - cherries   mimimum ab= 50 - (100-80)= 
50 - (100-80) = 30
30%   30%
Answer: E
nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 13 cm?  Select the correct option:
A) 216cm2 B) 238cm2 C) 240cm2 D) 247cm2 E) 250cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (13)   = 247 cm2   Answer:247cm2
Answer: D
Average between two sets of numbers is closer to the set withmore no's?
Options.
A) 80 B) 90 C) 110 D) 120 E) 130

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.   90
Answer: B
How long will take a leak at the bottom of a tank to empty it if it will take 3 hours to fill it without the leak, but due to the leak it will take one additional hour to be filled? Answers
A) 12 hours  B) 111 hours  C) 15 hours  D) 14 hours  E) 11 hours

Solution: Part filled without leak in 1 hour = 1/3   Part filled with leak in 1 hour = 1/4   Work done by leak in 1 hour   =1/3âˆ’1/4=12 hours   12 hoursnswer:12 hours
Answer: A
3 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Choose the correct option.
A) 12
B) 15
C) 18
D) 36
E) 24

Solution: The list should be WMWMW. Hence, from women 3! And men 3!, we get (3!)(3!)=36. Therefore, the correct answer is 36.
Answer: D
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Answers.
A) 13, 3  B) 12, 6  C) 15, 3  D) 14, 4  E) None of these

Solution: Explanation:   Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 18 --- (1)   and x - y = 10 --- (2)   From (1) & (2) 2x = 28 => x = 14, y = 4.   Answer: Option 14, 4
Answer: D
Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube? Pick one.
A) 22 B) 77 C) 28 D) 18 E) 19

Solution: 93 + 123 + 153 = a3 => a   = 18   Answer: 18
Answer: D
At a party, 13 guests brought wine and 14 guests brought beer. If exactly 11 guests brought only one of the two types of drinks, how many guests brought both types of drinks? Choose the correct answer
A) 5 B) 6 C) 7 D) 8 E) 14

Solution: Say x guests brought both drinks.   (13 - x) + (14 - x) = 11 --> x = 8.   Answer: 8.
Answer: D
if the price of a book is first decreased by 20% and then increased by 10%, then the net change in the price will be :
Choose the correct choice from the following options:  A) 10  B) 12  C) 37  D) 29  E) 22

Solution: Explanation:   Let the original price be Rs. 100.   Decreased by 20% = 80   Then increased 10% on Rs 80 = 80 + 8= 
80 + 8 = 88
88   Net change in price= 100 - 88= 
100 - 88 = 12
12   Answer : 12
Answer: B
If |x + 132| = 32 what is the sum of all the values of x.	Answers
A) -264 B) 200 C) -64 D) 0 E) -328

Solution: There will be two cases   x+132 = 32 and x+132 = -32   Solve for x => x=32-132=> x=-100 or x= -32 - 132 => x= -164   The sum of both values will be -164 + -100 = -264   -264nswer is -264
Answer: A
14,24,54,34,44,56,53, ? Select.
A) 44 B) 55 C) 66 D) 77 E) 88

Solution: 14-24...dif -10   54-34..dif -20   44-56..dif-12   53-77...dif-24   ANSWER:77
Answer: D
A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/2, and the probability of selecting a blue paper clip is 1/3. What is the probability of selecting a silver paper clip?
Choose the correct choice from the following choices:
A) 1/6  B) 1/2  C) 7/12  D) 3/4  E) 11/12

Solution: Prob of Red = 1/2   Prob of Blue = 1/3   Prob of Silver = ?   P(Silver) = 1 - P(Red) - P(Blue) ==> 1-1/2-1/3 = 1/6   Ans: A
Answer: C
Siddharth wants to borrow Rs.10000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?	Pick one
A) s.21.60
B) s.36.00
C) s.22.29
D) s.21.26
E) s.21.12

Solution: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.10,000   He lend the same amount for C.I at 6% p.a. for two years.   => Siddharth's income = C.I - S.I   = p[1 + r/ 100]n - p - pnr/100   = p{ [1 + r/ 100]2 - 1 - nr/100   = 10,000{ [1 + 6/100]2 - 1 - 12/100}   = 10,000 {(1.06)2- 1 - 0.12} = 10,000(1.1236 - 1 - 0.12)   = 10,000 (0.0036) = 10 * 3.6 = Rs.36.00   Answer: s.36.00
Answer: B
If 2/a + 3/a + 8/a is an integer, which of the following must also be an integer?
Choose the most appropriate option:	A) 12/a	B) 13/a	C) 6/a	D) 9/a	E) 15/a

Solution: 2/a + 3/a + 8/a   =13/a   Answer 13/a
Answer: B
A trader marked the selling price of an article at 50% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :	Choose the correct choice from the following options:  A) 7.3 %  B) 10.5 %  C) 11 %  D) 12.5 %  E) None

Solution: Sol.   Let C.P. = Rs. 100. Then, Marked Price = Rs. 110, S.P. = Rs. 99.   ∴ Discount % = [11/150 * 100] % = 7.3%   7.3 %nswer 7.3 %
Answer: A
The perimeter of a semi circle is 121 cm then the radius is?	Choose the correct option:
A) 17
B) 28
C) 24
D) 26
E) 12

Solution: 36/7 r = 121 => r   = 24   Answer: 24
Answer: C
Jake remembers only the last Six letters of his seven-letter Klingon name. If he is sure that the first letter is neither "N" nor "X", and assuming that there are only 12 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?  Choose the correct choice from the following.
A) A)8/100	B) B)9/100	C) C)1/10	D) D)4/5	E) E)9/10

Solution: Total letters 10, out of which the first letter is anything of 10 but N or X...   So there are 10 possible letters for first place..   And only one of them is correct..   So 1/10   Answer: 1/10
Answer: C
Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 180. What is their H.C.F.?	Pick
A) 15 B) 20 C) 40 D) 60 E) 70

Solution: Let the numbers be 2x, 3x, and 4x.   LCM of 2x, 3x and 4x is 12x.   12x = 180   x = 15   HCF of 2x, 3x and 4x = x = 15   The answer is 15.
Answer: A
If the sides of a square are multiplied by 5, the area of the original square is how many times as large as the area of the resultant square? Pick one.
A) 4%  B) 25%  C) 50%  D) 200%  E) 400%

Solution: Let x be the original length of one side.   Then the original area is x^2.   The new square has sides of length 5x, so the area is 25x^2.   The area of the original square is 1/25 = 4% times the area of the new square.   The answer is 4%.
Answer: A
The cost of 3 pens and 5 pencils is Rs.340. Also the cost of one pen and one pencil is in the ratio of 4:1 respectively. What is the cost of one dozen pens?	Select:
A) Rs.960	B) Rs.250	C) Rs.300	D) Rs.150	E) None of these

Solution: Explanation:   Let the cost of one pen is ‘4x’ and pencil is ‘x’   3 X 4x + 5x = Rs.340   12x + 5x = Rs.340   X = 340/17= 
340/17 = 20
20   :. Cost of 1 pen= 4x = 4 x 20 = 80   :. Cost of 12 pens, i.e. (one dozen) = 80 x 12 = Rs.960   Rs.960nswer: Option Rs.960
Answer: A
In honor of the year 2011, a donor has purchased 2016 books to be distributed evenly among the elementary schools in a certain school district. If each school must receive the same number of books, and there are to be no books remaining, which of the following is NOT a number of books that each school could receive? Choose the correct choice:
A) 18	B) 50	C) 42	D) 36	E) 56

Solution: All options other than 'B' are factors of 2011. Hence, '50' is the answer
Answer: B
Rohini is standing in a queue in which her position is 21st from either end of the queue.
Can you calculate how many people are standing in the queue?  Choose the correct option.
A) 21 people. B) 31 people. C) 41 people. D) 51 people. E) 61 people.

Solution: Explanation:   Since Rohini is 21st from either side, there must be 20 people in front of her and 20 people behind her.   20 + 20 + 1 (she herself) = 41   Therefore, the queue consists of 41 people.   Answer 41 people.
Answer: C
A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 100$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?	Options
A) 79.55$	B) 80.63$	C) 81.63$	D) 80.27$	E) 83.15$

Solution: let x is the cost of the food   1.07x is the gross bill after including sales tax   1.15* 1.07x=100   x=81.27   Hence, the correct option is 80.27$
Answer: D