MU-NLPC/Calc-aqua_rat huggingface dataset:
The ratio of men to women in the Snyder community choir is 4 to 6. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir? Choose one.
A) 20	B) 24	C) 32	D) 35	E) 34

Solution: This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly.   We're told that the ratio of the Men to Women in the Snyder choir is 4 to 6,so the number of men MUST be a multiple of 4 and the number of Women MUST be a multiple of 6. The question asks how many WOMEN are in the SNYDER choir, so the answer MUST be a multiple of 5. We can eliminate AnswersA,C, D and E (since they're NOT multiples of 6). That leaves only 1 possibilitiy   Ans:24
Answer: B
What time will be taken by an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choose the correct answer:  A) 2 years  B) 1 years  C) 3 years  D) 4 years  E) 5 years

Solution: Explanation:   P= Rs 900   Rate = 4.5*   SI= Rs 81   => SI= Time*P*rate   calculating for rate,   => Time= SI/rate*P   = 81/4.5%*900   => 2 years   Thus, it will take 2 years to yield Rs 81.   2 yearsNSWER 2 years
Answer: A
A rectangular field is 18 yards long and 10 yards wide. A fence is needed for the perimeter of the
field. Fencing is also needed to divide the field into three square sections. How many feet of fencing
are needed? (It is a good idea to make a drawing for this one.)  Answers.
A) 630 ft	B) 530 ft	C) 430 ft	D) 330 ft	E) 228 ft

Solution: 18 + 10 + 18 + 10= 
18 + 10 + 18 + 10 = 56
56 yds. for   outside of field.   10 + 10= 
10 + 10 = 20
20 yds. for dividing sections    56 + 20= 
 56 + 20 = 76
76 yds. of fencing   76 x 3= 228 ft. of fencing   correct answer 228 ft
Answer: E
The sum of two numbers is 45 and their product is 1050. What will be the sum of their reciprocals?
Select the correct option:
A) (11/140)	B) (11/210)	C) (3/70)	D) (75/8)	E) None

Solution: Solution   x+y=65 xy=1050 1/x+1/y=x+y/xy 45/1050 = (3/70).   Answer (3/70)
Answer: C
A profit of Rs. 700 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
Choose the most appropriate option.
A) s. 240	B) s. 140	C) s. 340	D) s. 50	E) s. 90

Solution: A profit of Rs. 700 is divided between X and Y in the ratio of 1/2 : 1/3 or 3:2.   so profits are 300 and 200.   difference in profit share = 420-280= 
420-280 = 140
140   ANSWER:s. 140
Answer: B
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?  Choose the correct choice from the following choices.
A) 7 B) 6 C) 8 D) 9 E) 2

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 2   x = 8   Answer: 8
Answer: C
There are 1000 students in a school and among them 10 % of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends? Choose the correct choice from the following answers:
A) 1  B) 10  C) 100  D) 50  E) 20

Solution: 10% of 1000 gives 100. so 100 attends chess and 10% of 100 gives 10.   so 10 enrolled for swimming   Answer: 10
Answer: B
One used-car salesperson receives a commission of $ 200 plus 3 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it? Choose the correct choice from the following answers.
A) $ 5,000
B) $ 6,000
C) $ 8,000
D) $ 10,000
E) $ 12,000

Solution: This question can be solved by TESTing THE ANSWERS.   We're given the pay rate of two different salespeople who sell cars:   1) A commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price.   2) A straight commission of 6 percent of the car’s final sale price.   We're asked for the final sale price of a car if both salespeople would earn the SAME commission for selling it?   Let's TEST Answer B: $6,000   1st salesperson = $200 + .04(6,000 - 1,000) = $200 + .04(5,000) = $200 + $200 = $400   2nd salesperson 200 +  200= 
200 +  200 = 400
$400   2nd salesperson= .06(6,000) = $360   These totals are NOT the same, so we can eliminate B. Looking at the two pay 'formulas', we can see that the 2nd salesperson will make more money than the 1st when the price of the car increases to a significant level, so we need a price that is HIGHER than $6,000. Since the difference in pay is relatively small in Answer B, we're likely looking for a number that is fairly close to $6,000 though...   Let's TEST Answer C: $8,000   1st salesperson = $200 + .04(8,000 - 1,000) = $200 + .04(7,000) = $200 + $280 = $480   2nd salesperson 200 +  280= 
200 +  280 = 480
$480   2nd salesperson= .06(8,000) = $480   These totals are the SAME, so this must be the answer.   Final Answer:   $ 10,000
Answer: D
(3220 + 6160) / 28	Pick:
A) 380	B) 350	C) 335	D) 310	E) None of these

Solution: Explanation:   As per BODMAS rule, first we will solve the equation in bracket then we will go for division   = (9380)/28= 
(9380)/28 = 335
335   Option 335
Answer: C
A sum of Rs.42000 is divided into three parts such that the simple interests accrued on them for three, six and seven years respectively may be equal. Find the amount deposited for 6 years. Choose one
A) 9000 B) 5000 C) 14000 D) 7000 E) 6000

Solution: Let the amounts be x, y, z in ascending order of value. As the interest rate and interest accrued are same for 3 years 6 years and 7 years i.e. 3x = 6y = 7z = k.   L.C.M. of 3,6,7 = 42 So x:y:z: = 14000 : 7000 :6000   The amount deposited for 6 years = 7000   ANSWER:7000
Answer: D
A bullet train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
Select the correct option.
A) 165 m B) 220 m C) 260 m D) 224 m E) 239 m

Solution: A   165 M   Speed = 54 x 5/18 = 15 m/s   Length of the bullet train = (15 x 25)m = 375 m.   Let the length of the platform be x metres.   Then, (x + 375)/36 = 15   --> x + 375 = 540   x = 165m. 165 m
Answer: A
From a pack of 52 cards, 1 card is drawn at random. What is the probability that a red card is drawn? Select:
A) 1/2
B) 1/4
C) 1/26
D) 1/13
E) 5/13

Solution: The total number of cards is 52.   The number of red cards is 26.   P(red card) = 26/52 = 1/2   The answer is 1/2.
Answer: A
If the sum of three consecutive even numbers is 40 more than the average of these numbers, then the largest of these numbers is?	Options:
A) 20  B) 24  C) 22  D) 26  E) 27

Solution: Explanation:   Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4).   x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 40   3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 120   9x + 18 = 3x + 126   6x = 108   x = 18   Therefore, the largest number is 22.   ANSWER 22
Answer: C
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?  Choose the correct choice from the following:
A) 766 B) 144 C) 166 D) 416 E) 125

Solution: The word MEADOWS has 7 letters of which 3 are vowels.   -V-V-V-   As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.   Hence the total ways are  24 * 6= 
 24 * 6 = 144
144.   Answer:144
Answer: B
Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 180 envelopes	Choose the correct choice:
A) 6 minutes
B) 5 minutes
C) 7 minutes
D) 3 minutes
E) 4 minutes

Solution: earl takes 1 min. for 36 envelopes.   ellen takes 3/2 mins for the same. so ellen can stuff ((36)/(3/2)) in 1 min. i.e., 24 envelopes a min.   so both of them when work together can stuff 36+24= 
36+24 = 60
60 envelopes in 1 min.   for 180 envelopes they will take 180/60 mins. i.e., 3 mins.   ANSWER:3 minutes
Answer: D
Barbara has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 3 specific shirts with 2 specific pants?  Choose the correct choice from the following
A) 66	B) 51	C) 36	D) 70	E) 56

Solution: Total no of combinations available is= 8 shirts X 9 pants = 72   Eliminate the 3shirts X 2 pants combo = 6 which gives.......>> 72-6= 
72-6 = 66
66   66NSWER: 66
Answer: A
Total 45 cows 15 cow gives each 2 liter milk 15 cow gives each 3/4 liter milk 15 cow gives each 1/4 liter milk this is split into 3 son per each 15 cows & 15 liter milk how?	Choose the correct choice from the following answers.
A) 10 B) 12 C) 15 D) 16 E) 18

Solution: 15 cow 2 liter each =30 liter   15 cow 3/4 liter each= 3/4= 
3/4 = 3/4 = around 0.75
0.75*15= 
0.75*15 = 11.25
11.25   15 cow 1/4 liter each= 1/4= 
1/4 = 1/4 = around 0.25
0.25*15= 
0.25*15 = 3.75
3.75   add  30+11.25+3.75= 
 30+11.25+3.75 = 45
45   milk split into 3 son each 15 liter then 45/3= 
45/3 = 15
15   ANSWER:15
Answer: C
The speed of a boat in still water is 60kmph and the speed of the current is 5kmph. Find the speed downstream and upstream?  Choose the correct answer.
A) 80,70 kmph	B) 80,40 kmph	C) 10,40 kmph	D) 65,55 kmph	E) 84,40 kmph

Solution: Speed downstream = 60 + 5= 
60 + 5 = 65
65 kmph   Speed upstream= 60 - 5= 
60 - 5 = 55
55 kmph   Answer: 65,55 kmph
Answer: D
Roseline works 6 hours per day on Monday, Wednesday and Friday, and 8 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $272 per week. How much does she earn in dollars per hour?	Choose the correct option
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: So, she works 18 hours in 3 days   So, she works 16 hours in 2 days   So in a week she works 34 hours ( 18 + 16 ) and earns $272   So, Hourly wage is  272/34= 
 272/34 = 8
> 8   Hence answer will be (8) 8
Answer: A
If x > y and y > z, which of the following represents the greatest number E?  Choose the correct answer.
A) x − z  B) x − y  C) y − x  D) z − y  E) z − x

Solution: Because x>y>z   thus E= x- z wil lbe greatest   x − zns: x − z
Answer: A
The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. What is the weight of the new person? Select the correct option
A) 75 kg B) 85 kg C) 95 kg D) 65 kg E) 55 kg

Solution: The total weight increase = (8 x 2.5) kg = 20 kg   weight of new person = (75 + 20)= 
(75 + 20) = 95
95 kg   The answer is 95 kg.
Answer: C
Which is the integer that represents a sum of 3 consecutive even integers from the options given?  Select
A) 200
B) 303
C) 400
D) 554
E) 594

Solution: Sum of three consecutive Even Integers must be a multiple of 2 as well as a multiple of 3 because such a sum is always 3 times the middle number (applicable to all equally spaced numbers)   Divisibility of 3: Sum of the digits of the number must be divisible by 3   Divisibility of 2: Unit digit of the number must be divisible by 2   A. 200NOT A MULTIPLE OF 3 SO RULED OUT   B. 303NOT A MULTIPLE OF 2 SO RULED OUT   C. 400NOT A MULTIPLE OF 3 SO RULED OUT   D. 554NOT A MULTIPLE OF 3 SO RULED OUT   E. 594A MULTIPL594 OF BOTH 2 AND 3 SO TH594 CORR594CT ANSW594R!!!
Answer: E
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.24,000 earned at the end of 2years from the startingof the business?  Choose the correct answer:
A) s. 5,000
B) s. 5,500
C) s. 5,700
D) s. 6,500
E) s. 7,200

Solution: A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3.   B's share = Rs. 24000 x	3/10	= Rs. 7,200.   s. 7,200
Answer: E
A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?  Options.
A) 6 kmph	B) 5 kmph	C) 2 kmph	D) 3 kmph	E) 1 kmph

Solution: Speed downstream = d/t = 75/(5)= 
75/(5) = 15
15 kmph   Speed upstream= d/t = 45/(5)= 
45/(5) = 9
9 kmph   The speed of the stream= (15 - 9)/2= 
(15 - 9)/2 = 3
3 kmph   Answer:3 kmph
Answer: D
The price of a mobile was increased by 25 percent. The new price was then decreased by 10 percent. A single increase of what percent is equivalent to these two successive changes?	Choose the correct choice from the following: A) 10% B) 15% C) 17.5% D) 25% E) 12.5%

Solution: consider base price - $100   25% increase = 1.25*100= 
1.25*100 = 125
$125   Then a 10% decrease on new price= 0.9* 125= 
0.9* 125 = 112.5
$112.5   so final price of radio - $112.5   therefore a 12.5% increase   correct option - 12.5%
Answer: E
if the price of a book is first decreased by 30% and then increased by 40%, then the net change in the price will be :
Choose the correct answer.
A) 10
B) 388
C) 37
D) 29
E) 2

Solution: Explanation:   Let the original price be Rs. 100.   Decreased by 30% = 70   Then increased 40% on Rs 70 = 70 + 28= 
70 + 28 = 98
98   Net change in price= 100 - 98= 
100 - 98 = 2
2   Answer : 2
Answer: E
There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?	Options
A) 45
B) 57
C) 76
D) 91
E) 98

Solution: We first count the number of committee in which   (i). Mr. Y is a member   (ii). the ones in which he is not   case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member.   Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join).   We can choose 1 more in5+\inline {\color{Blue} 2C_{1}}=7 ways.   case (ii): If Mr. Y is not a member then we left with (6+4-1) people.   we can select 3 from 9 in \inline {\color{Blue} 9C_{3}}=84 ways.   Thus, total number of ways is  7+84= 
 7+84 = 91
91 ways.   91
Answer: D
If a boat is rowed downstream for 24 km in 4 hours and upstream for 48 km in 24 hours, what is the speed of the boat and the river?
Pick one.
A) 4 , 3
B) 4 , 4
C) 3 , 3
D) 4 , 5
E) 4 , 2

Solution: 4 , 2xplanation:   If x: speed of boats man in still water   y: speed of the river   Downstream speed (Ds) = x + y   Upstream speed (Us) = x â€“ y   x = (Ds + Us) / 2   y = (Ds â€“ Us) / 2   In the above problem Ds = 6 ; Us = 2   x = (6 + 2) / 2 = 8/2= 
8/2 = 4
4 km/hr   y= (6 - 2)/2 = 4/2= 
4/2 = 2
2 km/hr   ANSW4 , 2R: 4 , 2
Answer: E
The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is? Options:
A) 8	B) 9	C) 7	D) 6	E) 5

Solution: 2x * x = 128 => x= 8   8nswer: 8
Answer: A
The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?  Choose the correct choice from the following options:  A) 13587  B) 13529  C) 27897  D) 13500  E) 27962

Solution: P = (184*106) / [6 2/3 * 6 2/3 *(300*6 2/3)]   P = 13500   Answer:13500
Answer: D
When a=x+(2/x) and b=x-(2/x), (2^a^2)/(2^b^2)=? Choose one:
A) 2	B) 256	C) 8	D) 16	E) 32

Solution: --> (2^a^2)/(2^b^2) ={(2)^(a^2-b^2)}=2^(a-b)(a+b).   Since a-b=4/x   and a+b=2x,   2^(a-b)(a+b)=2^(4/x)(2x)=2^8=256   Answer is 256
Answer: B
If the cost price of 55 articles is equal to the selling price of 50 articles, then what is the percent profit?  Pick one:  A) 5%  B) 10%  C) 15%  D) 20%  E) 25%

Solution: Let x be the cost price of one article.   Let y be the selling price of one article.   50y = 55x   y = 1.1x   The answer is 10%.
Answer: B
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 36490
. What percentage of profit did he make?	Choose the correct choice
A) 64%  B) 49%  C) 40%  D) 70%  E) 90%

Solution: The total CP = Rs. 16000 + Rs. 6250   = Rs. 22250 and SP = Rs. 36490   Profit(%) = (36490 - 22250)/22250 * 100= 
(36490 - 22250)/22250 * 100 = 64
64%   64%nswer:64%
Answer: A
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Options.
A) 11	B) 98	C) 30	D) 88	E) 12

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer: 30
Answer: C
If n is a positive integer and n^2 is divisible by 200, then what is the largest positive integer that must divide n?  Choose the correct choice from the following answers.
A) 10 B) 15 C) 20 D) 36 E) 50

Solution: 200 = 2^3 * 5^2   If 200 divides n^2, then n must be divisible by 2^2 * 5 = 20   The answer is 20.
Answer: C
if the price of a book is first decreased by 30% and then increased by 20%, then the net change in the price will be :	Options
A) 10 B) 16 C) 37 D) 29 E) 22

Solution: Explanation:   Let the original price be Rs. 100.   Decreased by 30% = 70   Then increased 20% on Rs 70 = 70 + 14= 
70 + 14 = 84
84   Net change in price= 100 - 84= 
100 - 84 = 16
16   Answer : 16
Answer: B
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? Options.
A) 4%  B) 9%  C) 3%  D) 6%  E) 8%

Solution: 150 = (750*5*R)/100   R = 4%   4%nswer: 4%
Answer: A
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?	Choose the correct option
A) 12a.m  B) 10a.m  C) 09a.m  D) 06a.m  E) 02a.m

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 10 a.m.   Answer: 10a.m
Answer: B
The radius of a cylindrical vessel is 7cm and height is 6cm. Find the whole surface of the cylinder?  Choose the correct choice.
A) 281 B) 771 C) 440 D) 767 E) 572

Solution: r = 7 h = 6   2πr(h + r) = 2 * 22/7 * 7(13) = 572   Answer:572
Answer: E
In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 13 parochial schools, and 12 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?	Choose the correct choice:  A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Total Private Schools = 12   5ist A: High Schools = 18 ==> Private Schools = ?   5ist B: High Schools = 17 ==> Private Schools = 2   5ist C: High Schools = 15 ==> Private Schools = 5   Therefore, 12 - 2 - 5 ==> 5   Answer 5)
Answer: D
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is: Options.
A) Rs. 12
B) Rs. 15
C) Rs. 18
D) Rs. 21
E) Rs. 25

Solution: Explanation:   Dividend on Rs. 20 = Rs.	9/100*20= Rs.	9/5   Rs. 12 is an income on Rs. 100.   Rs.	9/5	is an income on Rs.(100/12 *9/5)= Rs. 15.   ANSWER IS Rs. 15
Answer: B
John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount E of dollars he could have spent for the $12 tickets?
Options.
A) $48	B) $60	C) $84	D) $96	E) $120

Solution: 60 ..... 12 *5 E= 60. (min). Thus answer .$60
Answer: B
If 5 men undertook a piece of construction work and finished half the job in 15 days. If two men drop out, then the job will be completed in Choose the correct choice from the following choices:  A) 5 days  B) 15days  C) 10 days  D) 25days  E) 20days

Solution: That is, half the work done = 5 * 15 * 1/2   Then, 5 * 15 *1/2 = 3 *? *1/2   i.e. 5 *15 = 3 *?   = 5 * 15/3= 
5 * 15/3 = 25
25 day   25days
Answer: D
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg? Options: A) 98 B) 27 C) 40 D) 37 E) 29

Solution: 800*(25/100)= 
800*(25/100) = 200
200 ---- 5   ? ---- 1=> Rs.40   Answer:40
Answer: C
How long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 170 m in length?	Choose the correct choice.
A) 15.8 sec
B) 14.9 sec
C) 12.4 sec
D) 16.8 sec
E) 11.8 sec

Solution: 16.8 sec   16.8 sec   16.8 sec = 110 + 170= 
110 + 170 = 280
280 m   S= 60 * 5/18 = 50/3   T = 280 * 3/50= 
280 * 3/50 = 84/5 = around 16.8
16.8 sec
Answer: D
If the ratio of ages of Mohan and Rakesh 4:3 and sum of their ages is 28 years then ratio of their ages after 4 years will be
Choose the correct choice from the following choices:
A) 5:4  B) 3:4  C) 6:5  D) 7:4  E) 7:5

Solution: let monhan age is 4x and rakesh age is 3x.   accn to d ques 4x+3x=7x   7x4 +3= 
4 +3 = 7
7x   7x=28   x=4   after 4 years mohan will be 4x+4=(4*4)+4= 
(4*4)+4 = 20
20   rakesh will be=3x+4=(3*4)+4= 
(3*4)+4 = 16
16   20:16=5:4   5:4NSWER:5:4
Answer: A
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?	Options:
A) 12.5%
B) 13%
C) 15%
D) 17%
E) 19%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.7 x 1.25 = 0.875   Decrease in price = (0.125/1) × 100 = 12.5%   12.5%)
Answer: A
During 2003, a company produced an average of 4,000 products per month. How many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150% over its 2003 average?	Options: A) 435,000 B) 440,000 C) 450,000 D) 480,000 E) 432,000

Solution: Company produced 12*4000 = 48,000 products in 2003. If company produces X products from 2004 to 2007, then total amount of product produced in 4 years (2003 through 2007) is X+48,000. The gives the average of (X+48,000)/4.   This average needs to be 300% higher than that in 2003. In math terms, 48,000+150%(48,000) = 120,000. So:   (X+48,000)/4 = 120,000   X+48,000 = 480,000   X = 432,000   The answer is 432,000.
Answer: E
If a square is formed by the diagonal of the square as an edge, what is the ratio between the
area?	Choose the correct choice from the following:
A) 1:2
B) 2:1
C) 1:3
D) 1:4
E) 1:5

Solution: suppose square area is=a^2   then diagonal cosidering as a edge area is=2a^2   then a^2:2a^2   1:2   1:2NSWER:1:2
Answer: A
After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is? Pick.
A) 3347
B) 2788
C) 5000
D) 2787
E) 2811

Solution: Given SP = Rs. 6800   Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15) = Rs. 8000   If SP = Rs. 8000, profit = 60%   CP = [SP(100)]/(100 + 60) = (8000 * 100)/160 = Rs. 5000   Answer: 5000:
Answer: C
The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?  Choose the most appropriate option
A) 8 B) 9 C) 16 D) 17 E) 18

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20   x = 4.   x+12= 4+12= 
4+12 = 16
16   16
Answer: C
In a certain pond, 60 fish were caught, tagged, and returned to the pond. A few days later, 60 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?  Choose the correct answer.
A) 1500  B) 1200  C) 1000  D) 2500  E) 10 000

Solution: If x is total number of fish in the pond :   4 = 60/x * 100   => x = 1500   So answer is 1500
Answer: A