MU-NLPC/Calc-aqua_rat huggingface dataset:
The volumes of two cones are in the ratio 1 : 15 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?  Choose one.
A) 3:5 B) 3:9 C) 3:2 D) 2:2 E) 3:8

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 = r1^2 . h1/r2^2. h2 => 1/15   = (1)^2h1/(2)^2h2   => h1/h2 = 3/5   i.e. h1 : h2 = 3:5   3:5nswer: 3:5
Answer: A
What is the smallest no. which must be added to 27452 so as to obtain a sum which is divisible by 9?  Choose the correct answer.
A) 7 B) 2 C) 9 D) 4 E) 6

Solution: For 27452 , 2+7+4+5+2=20.   7 must be added to 27452 to make it divisible by 9.   Now , 2+7+4+5+9=27 => 27 is a multiple of 9 and hence 27452 is also divisible by 9   7
Answer: A
The monthly rent of a shop of dimension 10feet × 10feet is Rs.1300. What is the annual rent per square foot of the shop?  Choices.
A) 43	B) 156	C) 68	D) 87	E) 92

Solution: Sol. Monthly rent per square feet = 1300/(10*10)= 
1300/(10*10) = 13
13   & Annual rent per square feet=12*13= 
12*13 = 156
156   Answer : 156
Answer: B
For every integer n ≥ 3, the function h(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of h(102) – h(101)?
Choose the correct choice from the following answers:
A) 102
B) 0
C) 101
D) 98
E) 100

Solution: h(101) = 1*3*5*7*9*...*99*101   h(102) = 1*3*5*7*9*...*99*101   They are going to be the same. Hence their difference will be 0   hence:0
Answer: B
A boy swims downstream 48 km and upstream 12 km taking 6 hours each time; what is the speed of the current? Choose the correct answer:
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: 48 --- 6 DS = 8   ? ---- 1   12 ---- 6 US = 2   ? ---- 1 S = ?   S = (8 - 2)/2= 
(8 - 2)/2 = 3
3   Answer: 3
Answer: C
Which of the following integers has the most number of divisors?	Choose the correct answer: A) 176 B) 182 C) 99 D) 101 E) 102

Solution: Explanation:   99 = 1 × 3 × 3 × 11   => Divisors of 99 are 1, 3, 11, 9, 33 and 99   101 = 1 × 101   => Divisors of 101 are 1 and 101   182 = 1 × 2 × 7 × 13   => Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182   176 = 1 × 2 × 2 × 2 × 2 × 11   => Divisors of 176 are 1, 2, 11, 4, 22, 8, 44, 16, 88, 176   Hence 176 has most number of divisors.   176nswer: Option 176
Answer: A
In western Europe, C bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?	Select:	A) 9% of (x/100)	B) 14% of (x/100)	C) 75% of (x/100)	D) 9% of x	E) 14% of x

Solution: Moreover is't question actually asking the the difference between the {(Quantity Produced + Quantity Sold ) C in 1990 - (Quantity Produced + Quantity Sold ) in 1993}   Though the Quantity sold in both the years is same it actually boils down to (Quantity Produced in 1990 ) in (Quantity Produced in 1993)=9% of x
Answer: D
In what ratio must tea at Rs. 62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg?	Pick one:	A) 3 :1	B) 2:1	C) 4:1	D) 1:3	E) 1:2

Solution: C.P of a unit quantity of 1st kind = Rs. 62   C.P of a unit quantity of 2nd kind = Rs. 72   Mean price = Rs. 64.50   C.P of a unit quantity of 1st kind - Mean price =64.50-62= 
64.50-62 = 2.5
2.50   C.P of a unit quantity of 2nd kind - Mean price= 72-64.50= 
72-64.50 = 7.5
7.50   Required ratio= 7.50 : 2.50 = 3 : 1   3 :1nswer:3 :1
Answer: A
During a Thanksgiving weekend, a car rental company rented eight-tenths of their vehicles, including three-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?  Choose the correct choice from the following:
A) 20%	B) 30%	C) 40%	D) 60%	E) 25%

Solution: 2/10 of all the vehicles were not rented.   (2/5)(2/5) = 4/25 of all the vehicles are 4WDs that were not rented.   (4/25) / (2/10) = 4/5 is the fraction of non-rented vehicles that were 4WDs   1 - 4/5 = 20% of non-rented vehicles were not 4WDs.   The answer is 20%.
Answer: A
The greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is: Choose the correct choice from the following answers.
A) 170 B) 130 C) 150 D) 120 E) 180

Solution: Explanation:   690 -10= 
690 -10 = 680
680, 875 – 25= 850   Highest number that can divide 680 and 850 exactly is HCM of the numbers.   HCF of 680 and 850 = 170   170nswer:170
Answer: A
In a simultaneous throw of 2 dice, what is the probability of getting a total of 10 or 11?  Choose the correct option:
A) 2/7	B) 1/4	C) 1/2	D) 7/36	E) 5/36

Solution: n(S) = 6*6= 
6*6 = 36
36   5/36= event of getting a total of 10 or 11 = {(4,6),(5,5),(6,4),(5,6),(6,5)}   probability = 5/36   Answer is 5/36
Answer: E
If a person walks at 14 miles/hr instead of 10 miles/hr, he would have walked 20 miles more. The actual distance traveled by him is:
Choose the correct answer.
A) 20 miles	B) 50 miles	C) 30 miles	D) 25 miles	E) 35 miles

Solution: Let the actual distance traveled be x km.   Then, X/10 = (X + 20)/14 ==> 14X = 10X + 200 ==> 4X = 200   X = 50.   Answer 50 miles) 50 miles.
Answer: B
The first five numbers in a regular sequence are 4, 11, 25, 53, and 109. What is the next number in the sequence? Pick.
A) 142	B) 221	C) 176	D) 182	E) 190

Solution: it is a good Q to learn to pick up number properties in the given set, even if we do not get a Q on these line in actuals..   when we see the sequence 4, 11, 25, 53, and 109, we see that each succeeding number is some value more than twice the previous number..   10=2*4+3..   22=2*10+3..   and so on..   so next number= 2*109+3=221..   221
Answer: B
A report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closest to  Options.
A) 20 B) 5 C) 30 D) 35 E) 67

Solution: Explanation :   Total no of characters= 20 * 55 * 65.   From the problem it is clear that 20 * 55 * 65 = x * 65 * 70.   we get x= 15.6 ∼ 16 because these are sheets.   therefore 4 less sheets.   Hencde, there is 20% decrease in number of sheets.   20nswer : 20
Answer: A
How many seconds will a 800 m long train take to cross a man walking with a speed of 5 km/hr in the direction of the moving train if the speed of the train is 65 km/hr?	Select the correct option.
A) 30 B) 50 C) 66 D) 44 E) 48

Solution: Speed of train relative to man = 65-5= 
65-5 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 800 * 3/50= 
800 * 3/50 = 48
48 sec.   Answer: 48
Answer: E
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together? Answers: A) 700 B) 720 C) 800 D) 820 E) 830

Solution: Option '720'
Answer: B
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is?
Choose the correct choice.
A) 625
B) 827
C) 657
D) 726
E) 634

Solution: Let the sum be Rs. x. Then,   [x (1 + 4/100)2 - x] = (676/625 x - x)   = 51/625 x   S.I. = (x * 4 * 2)/100 = 2x/25   51x/625 - 2x/25 = 1 or x   = 625.   625nswer: 625
Answer: A
In a certain city, 70 percent of the households have cable television, and 60 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:
Choices
A) 45,000 to 90,000 inclusive B) 30,000 to 120,000 inclusive C) 60,000 to 90,000 inclusive D) 60,000 to 120,000 inclusive E) 90,000 to 120,000 inclusive

Solution: The maximum percentage with both is 60% which is 90,000 households.   This means that every household with a recorder also has cable television.   The minimum percentage with both is 30% which is 45,000 households.   This means that 30% of households have only recorders but not cable television.   The other 30% of households with recorders have cable television.   The answer is 45,000 to 90,000 inclusive.
Answer: A
A cyclist traveled for two days. On the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 210 miles and spent a total of 12 hours traveling, what was her average speed on the second day?	Select:
A) 5 mph
B) 10 mph
C) 20 mph
D) 30 mph
E) 40 mph

Solution: SOLUTION:   D = 280 Mi   T = 12 hrs   Day 1 time = T1   Day 2 time = T2   T2 - T1 = 4 hrs ----- (I)   T1 + T2 = 12 hrs ----- (II)   Adding I and II, T2 = 8 hrs and T1 = 4 hrs   Day 1 Rate = R1   Day 2 Rate = R2   R1 - R2 = 10 mph   i.e. R1 = 10 + R2   280 = 8R2 + 4R1   i.e. 280 = 8R2 + 4 (10 + R2)   i.e. R2 = 20 mph   ANSWER: 30 mph
Answer: D
If 853,845 bars of chocolate need to be placed in little boxes and each box can contain at most 9 bars of chocolate. How many bars of chocolate will be in the last unfilled box? Choose one
A) 1  B) 3  C) 5  D) 6  E) 7

Solution: The number of bars of chocolate that can be placed in the little boxes of 9 bars is the first number that is divisible by 9 that occurs before 853,845.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 853,845 = 33 and 27 is divisible by 9.   Hence, we need to remove 6 to this number for it to be divisible by 9   Correct Option: 6
Answer: D
For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,3), what are the coordinates of the remaining vertex?
Choose one:  A) (3,4)  B) (3,9)  C) (4,9)  D) (6,4)  E) (9,6)

Solution: Let (a,b) be the remaining vertex.   x: 0 + 6 + a = 3*3. Then a = 3.   y: 0 + 0 + b = 3*3.= 
3*3. = 9
9.   The answer is (3,9).
Answer: B
If st = 3(s+ 1) + t and s and t are integers, s could be any of the following values EXCEPT:  Select.
A) 2 B) 4 C) 10 D) 3 E) 7

Solution: st = 3(s + 1) + t   st - q = 3(s + 1)   t = 3(s + 1)/(s-1)   t won't be an integer only if s = 10 (from the options).   Answer: 7
Answer: E
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?  Choose the correct choice from the following choices.
A) 65 B) 77 C) 24 D) 71 E) 27

Solution: Explanation:   B = 1/8 â€“ 1/2 = 1/24 => 24 days   Answer:24
Answer: C
When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 729 more than 4times the middle integer. Find the numbers?
Choose the correct choice:
A) 650 B) 678 C) 698 D) 710 E) 729

Solution: x + 4 (x + 4) = 729 + 4 (x + 2)   Solve for x and find all three numbers   x + 4 x + 16 = 729 + 4 x + 8   x = 721   x + 2 = 723   x + 4 = 725   Check: the smallest is added to four times the largest   721 + 4 * 725= 
721 + 4 * 725 = 3_621
3621   four times the middle   4 * 723= 
4 * 723 = 2_892
2892   3621 is more than 2892 by   3621 - 2892= 
3621 - 2892 = 729
729   729
Answer: E
Find the sum of all 4 digit numbers formed using digits 1,2,5,6.
Options
A) 93324 B) 92324 C) 93424 D) 93424 E) 93824

Solution: (n-1)! * (111...n) *(sum of the digits)   =(4-1)!*1111*(1+2+5+6)   =93324   93324NSWER:93324
Answer: A
Excluding stoppages, the speed of a bus is 65 kmph and including stoppages, it is 48 kmph. For how many minutes does the bus stop per hour?
Choose the most appropriate option.
A) 70 min  B) 15 min  C) 20.4 min  D) 15.6 min  E) 40 min

Solution: D   15.6 min   Due to stoppages, it covers 17 km less.   Time taken to cover 17 km = (17/65 x 60) min = 15.6 min
Answer: D
If pqr = 0 , qrs = 0 , and spr = 1, which of the following must be zero? Choose the correct choice from the following options.
A) P
B) Q
C) R
D) S
E) T

Solution: prs = 1 which means neither p / r/s is 0   rsx q = 0 , we know r and s are is not 0 from above hence q must be 0.   q x p x r = 0, we know from first expression that p and r are not 0 hence q =0.   option Q
Answer: B
The average weight of 8 persons increases by 1.5kg when a person weighting 65kg is replaced by a new person. What could be the weight of the new person?  Choices:
A) 67kg B) 77kg C) 87kg D) 97kg E) None of these

Solution: Explanation:   Let the average weight of 8 persons be ‘x’   years and the age of the new person be ‘y’ years   so, (8x – 65 + y) / 8 = x+1.5   so, y = 77kgs   65 + 8X1.5 = 77kgs   Answer 77kg
Answer: B
In how many ways can the letters of the word FINISHED be arranged?  Options:
A) 20155	B) 1643	C) 2520	D) 20152	E) 20160

Solution: FINISHED has 8 words, but I is repeated two times. Thus ways = 8! / 2! = 20160 ways   20160
Answer: E
If xy = 3(x + 1) + y and x and y are integers, x could be any of the following values EXCEPT:  Pick one:
A) 2
B) 8
C) 4
D) 3
E) 7

Solution: xy = 3(x + 1) + y   xy - y = 3(x + 1)   y = 3(x + 1)/(x-1)   y won't be an integer only if x = 8 (from the options).   Answer: 8
Answer: B
If x is negative and y is positive, which of the following cannot be positive? Choose the correct choice
A) x/y	B) -x*y	C) -x/y	D) x^2+y	E) x^6+y

Solution: - /+ = -   x/y is negative.   x/ynswer : x/y
Answer: A
A man's basic pay for a 40 hour week is Rs.20. Overtime is paid for at 25% above the basic rate. In a certain week he worked overtime and his total wage was Rs.25. He therefore worked for a total of :  Choose the correct answer.
A) 45 hours B) 47 hours C) 48 hours D) 50 hours E) None

Solution: Explanation:   Basic rate per hour = Rs.(20/40)= Rs.1/2   Overtime per hour = 125% of Rs.1/2=125/100×1/2=Rs.5/8   Suppose he worked x hours overtime.   Then,20+5/8x=25 or 5/8x=5   x=5×8/5=8 hours   So he worked in all for (40+8)= 
(40+8) = 48
48 hours.   48 hoursorrect Option: 48 hours
Answer: C
A certain auto manufacturer sold 6% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.6 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?  Options
A) 17,00,000  B) 18,00,000  C) 20,00,000  D) 25,00,000  E) 26,00,000

Solution: Let's assume in 2006 the manufacturer sold X.   In 2007 he sold X-6/100(X)   If sales in 2006,X= 2.6 million find X-6/100(X)   (2.6 x 10^6)-6/100(2.6 x 10^6)   2600000-1,56,000=24,44,000-----> 25,00,000(approx)   Answer-25,00,000
Answer: D
Marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 30%. What percent of the projected revenue was the actual revenue ?
Choose the correct choice:
A) 50%
B) 58%
C) 62.5%
D) 64%
E) 75%

Solution: Last year revenue = 100 (assume);   This year revenue = 70;   Projected revenue = 140.   Actual/Projected*100=70/140*100= 
70/140*100 = 50
50%.   50%nswer: 50%.
Answer: A
A die is rolled twice. What is the probability of getting a sum equal to 12? Choose the correct choice
A) 1/36
B) 1/9
C) 1/7
D) 1/24
E) 2/36

Solution: Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces)   Hence, total number of outcomes possible when a die is rolled twice, n(S) = 6 × 6 = 36   E = Getting a sum of 12 when the two dice fall = {(6, 6)}   Hence, n(E) = 1   P(E) = n(E)/n(S)   =1/36   =1/36   1/36nswer : Option 1/36
Answer: A
A shoe shop sells four different brands of shoes( brand A, B,C and D),
I) brand A cost 5% less than brand B
II) brand C cost 15% less than brand A
III) brand D cost 10% less than brand C
what percent of brand B's cost is brand D?
Select
A) 70.5%
B) 62.2%
C) 60.9%
D) 62.5%
E) 72.9%

Solution: Let the cost of brand B be $100   I) brand A cost 5% less than brand B --100-5= 
 --100-5 = 95
95   II) brand C cost 15% less than brand A --95-13.95= 
 --95-13.95 = 81.05
81.05   III) brand D cost 10% less than brand C --81.05-8.105= 
 --81.05-8.105 = 72.945
72.945   what percent of brand B's cost is brand D=72.945*100/100   Answer is 72.9%
Answer: E
A man can row his boat with the stream at 6 km/h and against the stream in 3 km/h. The man's rate is?	Choose the correct choice from the following options
A) 1.5 kmph
B) 4 kmph
C) 5 kmph
D) 7 kmph
E) 8 kmph

Solution: DS = 6   US = 3   S = ?   S = (6 - 3)/2= 
(6 - 3)/2 = 3/2 = around 1.5
1.5 kmph   1.5 kmphnswer: 1.5 kmph
Answer: A
The average (arithmetic mean) of four numbers is 5x + 3. If one of the numbers is 2x, what is the average of the other three numbers? Pick one.
A) x + 1
B) 3x + 3
C) 4x + 1
D) 5x + 3
E) 6x + 4

Solution: The sum of all four numbers is 4 * (5x + 3) = 20x + 12.   If one of the numbers is 2x, the sum of the other 3 numbers is 18x+12.   The average of the remaining three numbers is (18x+12)/3 = 6x+4.   The answer is 6x + 4.
Answer: E
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1000 m long? Choose the correct choice from the following answers.
A) 220 Sec B) 190 Sec C) 167 Sec D) 197 Sec E) 179 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 2200 m   T = D/S   T = 2200/10= 
2200/10 = 220
220 Sec   220 Secnswer: 220 Sec
Answer: A
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y? Choose the correct choice from the following options.
A) 20% B) 40% C) 60% D) 80% E) 100%

Solution: Soln:-   1,500*1.2 = 1,800.   1,800(1 - y/100) = 1,080 --> (1 - y/100) = 0.6 --> y = 40%.   ANSWER:40%
Answer: B
Working alone, machine X can manufacture 1,000 nails in 10 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?	Choose the correct option:
A) 3 9/17
B) 5 1/3
C) 2
D) 7 1/5
E) 8 4/7

Solution: rate of machine x = 1000/10   (1000/10 + y)5=1000   y=500/5= 
500/5 = 100
100   100 * t= 1000   t=1000*1/500   C. 2
Answer: C
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?  Choices:
A) 16 2/9% B) 16 8/3% C) 16 2/3% D) 132 2/3% E) 16 23/3%

Solution: 10 16 2/3%P = 12 SP   12 --- 2 16 2/3%P loss   100 --- ? => 16 2/3%   Answer:16 2/3%
Answer: C
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.20 lacs . How many workers were they? Choose the correct option.
A) 220
B) 400
C) 500
D) 560
E) 590

Solution: N * 50 = (320000 - 300000)= 
(320000 - 300000) = 20_000
20000   N= 20000 / 50= 
20000 / 50 = 400
400   400
Answer: B
At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent S of the interns report no feelings of tiredness during their shifts? Choose the most appropriate option:
A) 6	B) 14	C) 19	D) 20	E) 81

Solution: < 6 hours sleep>= 6 hours sleepTOTAL   Tired75--   Not Tired-0.7*X?   TOTAL80X100   Interns who receive< than 6 hours sleepandNot Tired= 80 - 75= 
80 - 75 = 5
5;   TOTAL interns who receive >= 6 hours sleep= 100 - 80= 
100 - 80 = 20
20, so interns who receive>= 6 hours sleepand areNot Tired= 0.7 * 20= 
0.7 * 20 = 14
14;   Interns who areNot Tired S= 5 + 14= 
5 + 14 = 19
19.   Answer: 19.
Answer: C
Out of 410 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
Choose the correct choice from the following
A) 120
B) 150
C) 100
D) 140
E) 220

Solution: n(A)=325,n(B)=175,n(AuB)=410-50= 
410-50 = 360
360.   Required number= n(AnB)=n (A)+n (B)-n(AuB)=325+175-360= 
325+175-360 = 140
140.   Answer is 140
Answer: D
Joe invested a certain sum of money in a simple interest bond whose value grew to $310 at the end of 3 years and to $410 at the end of another 5 years. What was the rate of interest in which he invested his sum? Choose the most appropriate option.
A) 6%
B) 7%
C) 8%
D) 9%
E) 10%

Solution: In 5 years, the value grew $100, so the simple interest was $20 per year.   In 3 years, the total interest was 3*$20 = $60   The principal is $310 - $60 3* 20= 
3* 20 = 60
$60   The principal is $310 - $60 = 250.   The interest rate is $20/$250 310 -  60= 
310 -  60 = 250
250.   The interest rate is $20/$250= 8%   The answer is 8%.
Answer: C
In an animal behavior experiment, 50 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 85 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?  Pick.
A) 81.4
B) 82
C) 82.5
D) 85
E) 86.5

Solution: Weighted mix method is best here....   Ratio is 1:4 for 86:80.5...   So the answer required = 80.5+ (85-80.5)*1/5=80.5+4.5*1/5   80.5+0.9= 
80.5+0.9 = 81.4
81.4   81.4
Answer: A
A sum of money is to be distributed among A, B, C, D in the proportion of
5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share?
Choose the correct choice from the following answers
A) Rs. 500
B) Rs. 1000
C) Rs. 1500
D) Rs. 2000
E) NOne

Solution: Sol.   Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then 4x - 3x = 1000 ⇔ x = 1000.   ∴ B's share = Rs. 2x = Rs. (2x1000) = Rs. 2000.   Answer Rs. 2000
Answer: D
Some of 60%-intensity red paint is replaced with 30% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?	Choose the correct choice from the following choices:
A) 2/3	B) 1/3	C) 2/5	D) 1/2	E) 1/5

Solution: Let total paint = 1   Let amount replaced = x   60 (1-x) + 30x = 40   x = 2/3   2/3NSWER:2/3
Answer: A
A man purchased 15 pens, 12 books, 10 pencils and 5 erasers. The cost of each pen is Rs.36, each book is Rs.45, each pencil is Rs.8, and the cost of each eraser is Rs.40 less than the combined costs of pen and pencil. Find the total amount spent?  Answers
A) 2388  B) 2337  C) 1192  D) 2827  E) 1180

Solution: 1180xplanation:   Cost of each eraser = (36 + 8 -40) = Rs.4   Required amount = 15 * 36 + 12 * 45 + 10 * 8 + 5 * 4   540 + 540 + 80 + 20 = Rs.1180   Answer: 1180
Answer: E
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 75 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Choose the correct choice:	A) 7.19	B) 7.17	C) 7.2	D) 7.35	E) 7.11

Solution: T = (121 + 165)/ (75 + 65) * 18/5   T = 7.35   Answer:7.35
Answer: D
Walking across campus, a student interviewed a group of students. 35% of the students took a finance class last semester, 45% took a marketing class last semester, and 50% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?  Choose the correct choice: A) 40% B) 30% C) 25% D) 15% E) 10%

Solution: {Total} = {finance} + {marketing} - {both} + {neither}   100 = 35 + 45 - {both} + 50   {both} = 30%.   The answer is 30%.
Answer: B
If the cost price of 50 articles is equal to the selling price of 28 articles, then the gain or loss percent is?	Choose one:
A) 22  B) 65  C) 78.57  D) 33  E) 25

Solution: Given that, cost price of 50 article is equal to selling price of 28 articles.   Let cost price of one article = Rs. 1   Selling price of 28 articles = Rs. 50   But Cost price of 28 articles = Rs. 28   Therefore, the trader made profit.\Percentage of profit = 22/28 * 100 = 78.57%   Answer:78.57
Answer: C
Which of the following numbers is the biggest => [-2/7 , -7/8 , -9/10 , -12/13 , -34/35]	Choose one.
A) A)-2/7	B) B)-7/8	C) C)-9/10	D) D)-12/13	E) E)-34/35

Solution: If we observe all the fractions just differ by one i.e denominator vs numerate.. in such case the biggest will be with large values... here all values are with -ve value...the least value is biggest. i.e. -2/7..   Hence -2/7 is correct answer...
Answer: A