MU-NLPC/Calc-aqua_rat huggingface dataset:
In 2008, a certain factory produced 40% more widgets than it did in 2007, and its production in 2009 was 140% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?  Choose the correct choice.
A) 33% B) 44% C) 49% D) 60% E) 80%

Solution: Let P be the original level of production in 2007.   Let x be the rate of production in 2010 compared to 2009.   x*1.4*1.4*P = P   x = 1/1.96 = 0.51 which is a decrease of 49%.   The answer is 49%.
Answer: C
The number of times 99 is subtracted from 1111 so that the remainder is less than 99 is
Choose the correct choice from the following options
A) 10 B) 11 C) 12 D) 13 E) 14

Solution: Sol.   Let it be n times.   Then, (1111 - 99n) < 99.   By hit and trial, we find that n = 11.   Answer 11
Answer: B
From a group of 3 women and 3 girls, 4 are to be randomly selected. What is the probability that equal numbers of women and girls will be selected?	Choose one:  A) 3/5  B) 1/5  C) 2/5  D) 4/5  E) 1

Solution: Using the first example, here is the probability of THAT EXACT sequence occurring:   wwGG = (3/6)(2/5)(3/4)(2/3) = 36/360 = 1/10   Each of the other 5 options will yield the exact SAME probability....   wGwG = (3/6)(3/5)(2/4)(2/3) = 36/360 = 1/10   So we have 6 different options that each produce a 1/10 chance of occurring.   6(1/10) = 6/10 = 3/5   Final 3/5nswer:   3/5
Answer: A
The sale price sarees listed for Rs.150 after successive discount is 20% and 10% is? Select
A) 187
B) 120
C) 108
D) 178
E) 175

Solution: 150*(80/100)*(90/100)= 
150*(80/100)*(90/100) = 108
108   Answer:108
Answer: C
In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1.5, then the 3rd term is which of the following?	Choose the correct answer:
A) −1.5
B) −1
C) 0
D) 3
E) 2

Solution: First = 1.5   Second = 2*1.5-1= 
2*1.5-1 = 2
2   Second= 2*2-1= 
2*2-1 = 3
3   Answer: option 3
Answer: D
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?  Choose the correct choice from the following answers
A) 16 2/3% loss B) 16 2/7% loss C) 16 8/3% loss D) 96 2/3% loss E) 16 4/3% loss

Solution: 15 CP = 18 SP   18 --- 3 CP loss   100 --- ? => 16 2/3% loss   16 2/3% lossnswer:16 2/3% loss
Answer: A
The cost to park a car in a certain parking garage is $12.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?  Choose the correct choice from the following choices
A) $1.09 B) $2.69 C) $2.25 D) $2.37 E) $2.50

Solution: Total cost of parking for 9 hours = 12$ for the first 2 hours and then 1.75 for (9-2) hours = 12+7*1.75= 
12+7*1.75 = 24.25
24.25   Thus the AVERAGE parking price= 24.25/9 = 2.69 $   $2.69 is the correct answer.
Answer: B
A tank is filled in 10 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Select
A) 30 hours B) 35 hours C) 70 hours D) 50 hours E) 58hours

Solution: Let the pipe A can fill the tank in x hours   Then pipe B can fill the tank in x/2 hours and pipe 70 hours can fill the tank in x/4 hours   Part filled by pipe A in 1 hour = 1/x   Part filled by pipe B in 1 hour = 2/x   Part filled by pipe 70 hours in 1 hour = 4/x   Part filled by pipe A, pipe B and pipe 70 hours in 1 hour =( 1/x)+(2/x)+(4/x)=7/x   i.e., pipe A, pipe B and pipe 70 hours can fill the tank in x/7 hours   Given that pipe A, pipe B and pipe 70 hours can fill the tank in 10 hours   x/7=10   x=10×7=70 hours   Answer is 70 hours
Answer: C
The rational number for recurring decimal 0.125125.... is:
Choices:
A) 125/990 B) 125/999 C) 125/900 D) 12/999 E) 12/990

Solution: 0.125125...   = 0.125   = 125/999   Answer is 125/999.
Answer: B
The 19th of September 1987 was Saturday. What day was the 20th of September 1990 if 1988 was a leap-year? Choose one.
A) Monday	B) Tuesday	C) Wednesday	D) Thursday	E) Friday

Solution: There are 365 days in an ordinary year and 366 days in a leap-year.   365 divided by 7 (a week period) yields a remainder of 1, thus the same date after an ordinary year would fall on the next day of a week;   366 divided by 7 (a week period) yields a remainder of 2, thus the same date after a leap-year would fall two days after in a week;   Thus 3 years, 1988, 1989 and 1990, will accumulate   2+1+1= 
  2+1+1 = 4
4 days, plus 1-day difference between 19th and 20th, which gives total of 5-day difference (5-day shift). Thus, 20th of September 1990 was Saturday+5 days=Thursday   Answer: Thursday
Answer: D
A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5% Pick one:
A) Rs 8.81 B) Rs 9.81 C) Rs 10.81 D) Rs 11.81 E) None of these

Solution: Explanation:   85 : 9 = 105 : x   x= (9×105/85)   = Rs 11.81   Option Rs 11.81
Answer: D
Length of a rectangular plot is 10 mtr more than its breadth. If the cost of fencin g the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?  Choose the most appropriate option
A) 46 m  B) 55 m  C) 58 m  D) 78 m  E) 80 m

Solution: Let breadth = x metres.   Then, length = (x + 10) metres.   Perimeter = 5300/26.5= 
5300/26.5 = 200
200 m.   2[(x + 10) + x]= 200   2x + 10 = 100   2x = 90   x = 45.   Hence, length = x + 10 = 55 m   55 m
Answer: B
A car is purchased on hire-purchase. The cash price is $26 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment? Pick
A) $603  B) $624  C) $625  D) $626  E) $627

Solution: Explanation:   Cash price = $26 000   Deposit = 10% Ã— $26 000 = $2600   Loan amount = $26000 âˆ’ $2600   Number of payments = 60   = $23400   I=p*r*t/100   I=14040   Total amount = 23400 + 14040= 
23400 + 14040 = 37_440
$37440   Regular payment= total amount /number of payments= 624   Answer: $624
Answer: B
Rahim and his uncle differ in their ages by 30 years. After 7 years, if the sum of their ages is 66, what will be the age of the uncle ?	Choose the correct choice from the following options.
A) 41 B) 36 C) 48 D) 33 E) 44

Solution: 41   41   Let uncle’s present age = x   Rahim's present age = y   y– x= 30 ...(i)   41fter 7 year   (x + 7) + (y+ 7) = 66   x + y + 14 = 66   x + y = 52 ...(ii)   combining (i) and (ii) we get   (x + y = 52) + (x – y = 30)   2x= 82   x= 41   Uncle's age is 41
Answer: A
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 600. What is their H.C.F.?	Choose the correct choice from the following choices.
A) 10	B) 20	C) 30	D) 40	E) 50

Solution: Let the numbers be 3x, 4x and 5x.   Then, their L.C.M. = 60x   60x = 600   x = 10   The numbers are (3 x 10), (4 x 10) and (5 x 10).   The H.C.F. is 10.   The answer is 10.
Answer: A
As part of a game, six people each must secretly choose an integer between 1 and 6, inclusive. What is the approximate likelihood that all six people will choose different numbers? Choose the correct choice from the following choices
A) 2%  B) 12%  C) 16%  D) 20%  E) 25%

Solution: 2%ns:a)   1st person has option no's- (1,2,3,4,5,6) - there fore probability of getting a no = 6c1/6c1 = 1   2nd person has option no's any five ,   he has to choose a no from five no's - there fore probability of getting a no = 5c1/6c1 = 5/6   3rd person has option no's any four ,   he has to choose a no from four no's -there fore probability of getting a no = 4c1/6c1 = 4/6   4th person has only one option - there fore probability of getting a no= 3c1/6c1 =3/6   5th person has only one option - there fore probability of getting a no= 2c1/6c1 = 2/6   6th person has only one option - there fore probability of getting a no= 1c1/6c1 = 1/6   =1*5/6*4/6*3/6*2/6*1/6 = 2%
Answer: A
2. The value of x + x(xx) when x = 2 is:  Options
A) 5 B) 10 C) 8 D) 15 E) 20

Solution: x + x(xx)   Put the value of x = 2 in the above expression we get,   2 + 2(22)   = 2 + 2(2 × 2)   = 2 + 2(4)   = 2 + 8= 
2 + 8 = 10
10   Answer : 10
Answer: B
The average age of M boys is â€˜bâ€™ years and of â€˜nâ€™ girls â€˜câ€™ years. The average age of all together is?
Choose the correct choice:
A) (mb + nc)/ (m + m) years	B) (mb + nn)/ (m + n) years	C) (mb + nc)/ (m + n) years	D) (nb + nc)/ (m + n) years	E) (mn + nc)/ (m + n) years

Solution: Explanation:   (mb + nc) / (m+ n)   Answer:(mb + nc)/ (m + n) years
Answer: C
There are 9 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? Choose the correct answer
A) 10  B) 36  C) 45  D) 60  E) 90

Solution: 10 players are there.   two players play one game with one another.   so 9C2=9*8/2= 
9*8/2 = 36
36   SO OPTION 36 is correct
Answer: B
Find the simple interest on Rs. 5000 at 6 % per annum for the period from 5th Feb to 19th April, 2015.  Choices
A) Rs. 40
B) Rs. 50
C) Rs. 60
D) Rs. 70
E) None of these

Solution: Explanation:   Given:   1) Principal = Rs. 5000   2) Rate of interest = 6 %   3) Time = 5th Feb to 19th April, 2015   First find the time period 5th Feb to 19th April, 2015   Feb = 28 – 5 = 23 days   March = 31 days   April = 19 days   Total days = 23 + 31 + 19= 
23 + 31 + 19 = 73
73 days   Convert days into years, by dividing it by 365   Time=	73/365	=	1/5   Simple Interest =	(P × R × T)/100   =	[5000 × 6 × (1/5)]/100   =Rs.60   Simple Interest = Rs. 60   ANSWER IS Rs. 60
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?
Options.
A) 150 B) 872 C) 287 D) 200 E) 212

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (200istance) = Speed * Time     (50/3) * 12= 
  (50/3) * 12 = 200
200 meter   Answer:200
Answer: D
The volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 4. What is the ratio of their heights? Choose the correct answer.
A) A)2:5	B) B)2:7	C) C)2:2	D) D)2:1	E) E)4:3

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/12 = (1)2h1/(4)2h2   => h1/h2 = 4/3   i.e. h1 : h2 = 4 : 3   Answer: 4:3
Answer: E
One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in 4 hours. How long would it take to fill the pool if only the slower pipe is used?	Choose the correct choice.
A) 11.25 B) 11.52 C) 1.25 D) 9 E) 7.2

Solution: Say the rate of the slower pipe is R pool/hour, then the rate of the faster pipe would be 1.25R=5R/4. Since when both pipes are opened, they fill the pool in four hours, then their combined rate is 1/4 pool/hour.   Thus we have that R + 5R/4 = 1/4 --> R = 1/9 pool/hour --> time is reciprocal of rate thus it's 9/1= 
9/1 = 9
9 hours.   Answer: 9.
Answer: D
1000 boys have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?	Options.
A) 12	B) 12.5	C) 13	D) 13.5	E) 14

Solution: Explanation:   1000*15 = 1200*x   x = 12.5   12.5
Answer: B
When n liters of fuel was added to a tank that was already 2/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?  Choose the correct option:
A) 10/9 n
B) 4/3 n
C) 3/2 n
D) 9/4 n
E) 9n

Solution: E is the answer.   To solve this problem, draw diagram or use algebra. I'm more comfortable with algebra.   Given   - tank was already 2/3 full.   - When n ltr added, it became 7/9   So 2/3 + n = 7/9   n = 7/9 - 6/9   n = 1/9   capacity of the tank is full fraction . i.e. 1 i.e. 9/9   so the question is 9/9 is how much times n   = 9/9= 
9/9 = 1
1= xn   so x = 9/1= 
9/1 = 9
9/1= 
9/1 = 9
9n
Answer: E
A box contains 13 apples, 12 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?	Choose the correct choice from the following
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: P(choosing a red apple 7 times in a row) = 12/13*11/12*10/11*9/10*8/9*7/8*6/7 = 6/13 < 0.5   The answer is 7.
Answer: E
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?	Choose the correct answer.
A) 88
B) 66
C) 42
D) 11
E) 43

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 96= 
7/16 * 96 = 42
42   Answer: 42
Answer: C
The diagonals of a rhombus are 12 cm and 10 cm. Find its area?	Options.
A) 158 B) 129 C) 150 D) 123 E) 60

Solution: 1/2 * 12 * 10= 
1/2 * 12 * 10 = 60
60   Answer:60
Answer: E
The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is?  Pick one.
A) 266 B) 288 C) 245 D) 215 E) 232

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (160 + X)/30 = 25/2 ==> 2(160 + X) = 750 ==> X   = 215 m.   Answer:215
Answer: D
How many trailing zeros will be there after the rightmost non-zero digit in the value of 25! (factorial 25)?  Choose the correct choice from the following:
A) 25	B) 8	C) 6	D) 5	E) 2

Solution: Explanatory Answer   25! means factorial 25 whose value = 25 * 24 * 23 * 22 *....* 1   When a number that has 5 as its factor is multiplied by an even number, it results in a trailing zero.   (Product of 5 and 2 is 10 and any number when multiplied with 10 or a power of 10 will have one or as many zeroes as the power of 10 with which it has been multiplied)   In 25!, the following numbers have 5 as their factor: 5, 10, 15, 20, and 25.   25 is the square of 5 and hence it has two 5s in it.   In toto, it is equivalent of having six 5s.   There are at least 6 even numbers in 25!   Hence, the number 25! will have 6 trailing zeroes in it.   6hoice 6
Answer: C
A no.when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no.14?
Choices:
A) 16 B) 17 C) 18 D) 19 E) 20

Solution: 142 + 110= 
142 + 110 = 252
252/14= 
252/14 = 18
18 (Remainder)   18
Answer: C
In a 100 m race between Rose and Diane, Rose lost to Diane by 0.75 m. If Diane was given a 7 m head start , how many meters more will it take before Rose overtakes Diane? Choose the correct answer: A) 12.91m B) 11.91m C) 12.5m D) 10.91m E) 13.91m

Solution: Distance Rose ran before completion of race---100 m-0.75m=99.25m   Distance gained on Diane over 99.25m---7m-0.75m=6.25   then Rose gains 99.25/6.25m = 1m on Kelly every 15.88 meters.   Therefore 15.88 divided by 0.75 of 1 meter.   ANSWER: B. 11.91m
Answer: B
The blood group of 200people is distributed as follows: 50 have A group, 65have B group, 70have O blood type and 15have type AB group. If a person from this group isselected at random, what is the probability that this person has O group type? Choose the correct answer
A) 0.35	B) 0.5	C) 1	D) 1.23	E) 1.25

Solution: We construct a table of frequencies for the the blood groups as follows   group frequency   a 50   B 65   O 70   0.35B 15   We use the empirical formula of the probability   Frequency for O blood   P(E)= ________________________________________________   Total frequencies   = 70 / 200= 
70 / 200 = 7/20 = around 0.35
0.35   0.35
Answer: A
45 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?	Choose the correct choice from the following choices.
A) 10	B) 15	C) 13	D) 18	E) 19

Solution: Let the required number of days be x.   Less persons, More days (Indirect Proportion)   More working hours per day, Less days (Indirect Proportion)   Persons 30 : 45 :: 12 : x   Working hours/day 6 : 5   30 x 6 x x = 45 x 5 x 12   x = (45 x 5 x 12)/(30 x 6)   x = 15   ANSWER 15
Answer: B
A and B invests Rs.3500 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choose the correct choice from the following:	A) 21:5	B) 21:16	C) 21:2	D) 9:9	E) 21:11

Solution: (3.5*6 + 7*6): (4*12)   63:48 =>   21:16   Answer:21:16
Answer: B
P,Q and R together earn Rs.1710 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
Pick one: A) s.40 B) s.60 C) s.90 D) s.100 E) s.120

Solution: Explanation :   Amount Earned by P,Q and R in 1 day = 1710/9= 
1710/9 = 190
190 ---(1)   Amount Earned by P and R in 1 day= 600/5= 
600/5 = 120
120	---(2)   Amount Earned by Q and R in 1 day= 910/7= 
910/7 = 130
130	---(3)   (2)+(3)-(1)=> Amount Earned by P , Q and 2R in 1 day   - Amount Earned by P,Q and R in 1 day = 120+130-190= 
120+130-190 = 60
60=>Amount Earned by R in 1 day = 60   Answer : Option s.60
Answer: B
If 45-[28-{37-(15-*)}]= 55, then * is equal to:
Options:
A) -29  B) -19  C) 16  D) 29  E) 39

Solution: 45-[28-{37-(15-*)}]= 55 => 45-[28-{37-15+*}]=55   45-[28-37+15-*]=55 => 45[43-37-*]=55   45-[6-*]=55 => 45-6+*=55   39+*=55 => *=55-39= 
55-39 = 16
16   ANSWER:16
Answer: C
A factory has a fixed cost of $40,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choose the most appropriate option:  A) 9,000  B) 14,000  C) 16,000  D) 22,500  E) 27,000

Solution: selling price - 16,000ost price = 2.5 so per unit profit =2.5   cost to recover =40000   no of items required = 40000/2.5= 
40000/2.5 = 16_000
16000   Ans 16,000
Answer: C
What will be the difference in simple and compound interest on 6000 after three years at the rate of 10 percent per annum?	Choose the correct choice
A) 160  B) 186  C) 62  D) 20  E) None of these

Solution: For 3 years:   Diff.=Sum×(rate)2(300+rate)/(100)3   = 6000×10×10×310/100×100×100 = 186   Answer 186
Answer: B
X and Y are both integers. If X/Y = 59.40, then what is the sum of all the possible two digit remainders of X/Y?	Choose the correct choice from the following options:
A) 450  B) 616  C) 672  D) 900  E) 1024

Solution: Remainder = 0.40 --> 40/100 --> Can be written as (40/4) / (100/4) = 10/25   So remainders can be 10, 20, 30, 40, ..... 90.   We need the sum of only 2 digit remainders --> 10 + 20 + 30 + 40 + 50 + 60 + 70+ 80 + 90 =450   450nswer: 450--  10 + 20 + 30 + 40 + 50 + 60 + 70+ 80 + 90= 
--  10 + 20 + 30 + 40 + 50 + 60 + 70+ 80 + 90 = 450
450   450nswer: 450
Answer: A
A retailer buys a radio for Rs 232. His overhead expenses are Rs 15. He sellis the radio for Rs 300. The profit percent of the retailer is  Choose the most appropriate option
A) 10%	B) 50%	C) 21.4%	D) 52%	E) None of these

Solution: Explanation:   cost price = (232 + 15)= 
(232 + 15) = 247
247 sell price= 300   gain = (53/247)*100 = 21.4%. Answer: 21.4%
Answer: C
Aman started a business investing Rs. 65,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business? Pick one
A) 10:105:112
B) 78:105:112
C) 72:105:112
D) 74:105:112
E) 16:105:112

Solution: Explanation:   Aman : Rakhi : Sagar = (65000 * 36) : (105000 * 30) : (140000 * 24)   = 78:105:112   Answer: 78:105:112
Answer: B
Find the fourth proportional to 33.6 , 41.2 and 48.9?	Select: A) 59.96 B) 56.15 C) 52.39 D) 58.96 E) 57

Solution: Formula= Fourth proportional =(b x c)/a   a=33.6 , b=41.2 and c=48.9   (41.2 x 48.9)/33.6=59.96   59.96
Answer: A
Calculate the share of Y , if Rs. 2690 is divided among X, Y and Z in the ratio 5 : 7 : 9?
Choose the correct choice from the following choices
A) 890.7
B) 826.7
C) 895.7
D) 896.7
E) 816.7

Solution: 5 + 7 + 9= 
5 + 7 + 9 = 21
21   2690/21=128.1   Y's share =7*128.1= 
7*128.1 = 896.7
896.7   ANSWER:896.7
Answer: D
The rate of increase of the price of sugar is observed to be three percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 25 per kg. The inflation rate for the years 1994 and 1995 are expected to be 12% each. The expected price of sugar on January 1, 1996 would be
Choose the correct choice:  A) 33.06  B) 34.1  C) 34.2  D) 24.6  E) None of these

Solution: Explanation :   Increase in the price of sugar = (12+3)= 
(12+3) = 15
15%   Hence, price of the sugar on Jan 1, 1996=> (25 * 115 * 115)/( 100 * 100 ) = Rs 33.06.   33.06nswer : 33.06
Answer: A
The ratio between the sale price and the cost price of an article is 6:4. What is the ratio between the profit and the cost price of that article? Choose the correct choice from the following: A) 23 B) 1:2 C) 2:5 D) 3:5 E) 25

Solution: C.P. = Rs. 4x and S.P. = Rs. 6x.   Then, Gain = Rs. 2x   Required ratio = 2x : 4x = 1:2   1:2
Answer: B
40 men can catch 200 sharks in 20 days working 6 hours a day. In how many days 25 men can catch 300 sharks working 4 hours a day?  Choose the correct choice from the following choices:	A) 30	B) 34	C) 24	D) 20	E) 50

Solution: We have, M1D1H1/W1 = M2D2H2/W2   40*20*6/200 = 25*D2*4/300   D2= 40*20*6*300/200*25*4 = 24   ANSWER:24
Answer: C
What is the CP of Rs 100 stock at 7 discount, with 1/5% brokerage?  Select:
A) 93.9
B) 96.3
C) 93.2
D) 96.7
E) 96.21

Solution: Explanation:   Use the formula,   CP= 100 â€“ discount + brokerage%   CP= 100-7+1/5   93.2   Thus the CP is Rs 93.2.   ANSWER: 93.2
Answer: C
For a fundraising dinner, a florist is asked to create flower arrangements for 8 tables. Each table can have one of the two types of bouquets available, one with a single type of flower or one with three different types of flowers. If the florist wants to make each table unique, what is the least number of types of flowers he needs?  Choose the correct choice from the following.
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: Looking for (n + nC3) = 8   2 types of flower arrangements: some with 1 flower and some with 3 different flowers.   Therefore, total number of arrangements we could make from n different types of flowers = (n + nC3).   Since 4C3 = 4 (nC(n-1) always equals n combinations i.e. nC(n-1) = n),	(n + nC3) = (4 + 4C3) = (4 + 4)= 
(4 + 4) = 8
8   Aim to get 8 distinct floral arrangements, 4 different types of flowers is the answer.   4nswer: 4
Answer: A
When N is divided by T, the quotient is A and the remainder is V. Which of the following expressions is equal to N?
Answers:
A) ST	B) S + V	C) ST + A	D) T(S+V)	E) T(S – V)

Solution: Using the rule dividend = Quotient * divisor + remainder =>ST + A ST + A is correct
Answer: C
If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 93 percent in some time period, which of the following could be the final mass of that element? Choose the correct choice from the following answers.
A) 27 grams  B) 30 grams  C) 29 grams  D) 31 grams  E) 35 grams

Solution: Let original mass be 100   The final mass of that element will be 7   So whatever option we have it will be divisible by 7   Check for the options the one that doesn't produce non terminating decimal is our answer   A. 27 grams   27/7 = 3.857...   B. 30 grams   28/7 = 4.285...   C. 29 grams   29/7 = 4.142.......   D. 31 grams   31/7 = 4.428.....   E. 35 grams   35/7= 
35/7 = 5
5   Hence our answer will be (35 grams)
Answer: E
2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 20 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?	Choose one:  A) 15 km/hr  B) 16 km/hr  C) 17 km/hr  D) 18 km/hr  E) None of these

Solution: Explanation :   Total distance covered by B=20*6= 
20*6 = 120
120kmTotal time taken by 15 km/hr to cover same distance=2+6= 
2+6 = 8
8 hrsaverage speed of 15 km/hr=120/8= 
120/8 = 15
15 km/hr   15 km/hrnswer : 15 km/hr
Answer: A
If X:Y is 1:2 and Y:Z is 2:5 then X:Z is equal to Select the correct option.
A) 2:5	B) 3:5	C) 1:5	D) 4:5	E) 1:3

Solution: The two ratios given are having the same number 2 for Y in both the ratios.   Hence- X:Y = 1:2 Y:Z = 2:5   => X:Z = 1:5   Answer 1:5
Answer: C