MU-NLPC/Calc-aqua_rat huggingface dataset:
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 45%?
Select the correct option: A) s.429 B) s.352 C) s.429 D) s.128 E) s.419

Solution: SP = 800   Profit = 25%   CP = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 45% = 45% of 640 = Rs.288   SP = CP - Loss = 640 - 288   = Rs.352   Answer:s.352
Answer: B
Two cars cover the same distance at the speed of 50 and 61 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car. Choose the correct answer
A) 212 km  B) 273 km  C) 224 km  D) 216 km  E) 204 km

Solution: 50(x + 1) = 61x   X = 4.55   60 * 4.55= 
60 * 4.55 = 273
273 km   ANSWER:273 km
Answer: B
If a company allocates 20 percent of its budget to advertising, 20 percent to capital improvements, and 30 percent to salaries, what fraction of its budget remains for other allocations?
Choose the most appropriate option
A) 3/5 B) 3/10 C) 2/5 D) 2/10 E) 4/10

Solution: 100%-(20%+20%+30%)=30% remains for other allocations --> 30% 100 -(20 +20 +30 )= 
100 -(20 +20 +30 ) = 30
30% remains for other allocations --> 30% = 30/100   --  30= 
  --  30 = 30
30/100= 3/10.   Answer: 3/10.
Answer: B
C.P of 12 pens = S.P. of 8 pens. Calculate the gain percentage.	Choices.
A) 22 B) 50 C) 27 D) 15 E) 81

Solution: ANSWER: 50
Answer: B
If the wheel is 14 cm then the number of revolutions to cover a distance of 2904 cm is?	Choose the correct choice from the following answers:
A) 22
B) 33
C) 17
D) 12
E) 88

Solution: 2 * 22/7 * 14 * x = 2904 => x = 33   Answer: 33
Answer: B
The price of crude oil which has slumped by 50% in the last 12 months, is projected to increased by 20% in the next 1 month bringing its value to $56. What was the approximate price of crude oil 12 months ago? Choose the correct answer
A) 93	B) 235	C) 112	D) 126	E) 59

Solution: -50+20-(50*20)/100=-40% net decrease   let initial price be Y   Y(1-40/100)=56   Y=56/0.6 = ~93   93ns is 93)
Answer: A
A bullet train 120 m long is running with a speed of 50 kmph. In what time will it pass a man who is running at 4 kmph in the direction opposite to that in which the bullet train is going?  Pick one.
A) 23 sec
B) 15 sec
C) 12 sec
D) 8 sec
E) 16 sec

Solution: D   8 sec   Speed of the bullet train relative to man = (50 + 4)= 
(50 + 4) = 54
54 *5/18 m/sec= 45/3 m/sec.   Time taken by the bullet train to cross the man = Time taken by it to cover 120 m at (45/3) m / sec   = (120*3/45)= 
(120*3/45) = 8
8 sec
Answer: D
How many positive integers N less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?	Choose the correct option:  A) 19  B) 18  C) 17  D) 16  E) 15

Solution: We're asked to deal with the positive integers LESS than 20. There are only 19 numbers in that group (1 to 19, inclusive). We're asked to find all of the numbers that fit one (or more) of the given descriptions. Looking at the answer choices, we have every value form 15 to 19, inclusive, so most (if not all) of the numbers from 1 to 19 fit one (or more) of the descriptions. How long would it take you to find the ones that DON'T fit.....?   The first several should be pretty easy to find - the prompt wants us to focus on multiples of 2 and 9 (and sums of those multiples). So what ODD numbers are less than 9?   1, 3, 5, 7   None of these values fit the given descriptions. That's 4 out of 19 that we know for sure do NOT fit. 19 - 4 = 15 = 15
Answer: E
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years? Choose the correct choice from the following options.
A) Rs.28829 B) Rs.28824 C) Rs.28187 D) Rs.28800 E) Rs.28429

Solution: Simple interest = (18000 * 4 * 15)/100   = Rs. 10800   Amount = P + I = 18000 + 10800   = Rs. 28800   Answer: Rs.28800
Answer: D
he average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Pick.
A) 11 B) 25 C) 77 D) 99 E) 21

Solution: 39x = 5 + 12 + 15 + 19 + (x – 4)44   x = 25.Answer: 25
Answer: B
A rectangular plate is of 6 in breadth and 12 in length. Two apertures of 2 in diameter each and one aperture of 1 in diameter have been made with the help of a gas cutter. What is the area of the remaining portion of the plate?  Answers.
A) 62.5 sq.in
B) 68.5 sq.in
C) 64.5 sq.in
D) 66.5 sq.in
E) None of these

Solution: Required area = 6 × 12 – {2×π(2/2)2+π(1/2)2}   = 72 - (2π + π⁄4) = 72 - 9π⁄4 = 72 - 9⁄4 × 22⁄7   = 72 - (99⁄14) = 7.07 = 64.94 sq in.   Answer None of these
Answer: E
If a 5 percent deposit that has been paid toward the purchase of a certain product is $50, how much more remains to be paid?
Pick one:
A) $550  B) $650  C) $750  D) $850  E) $950

Solution: 95% remains to be paid so the remaining amount is 19*50= 
19*50 = 950
$950.   The answer is $950.
Answer: E
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 30% profit?
Choose the correct choice from the following choices.
A) 277 B) 960 C) 277 D) 832 E) 121

Solution: Let C.P. = Rs. x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 130% of Rs. 640 = 130/100 * 640 = Rs. 832.   Answer: 832
Answer: D
How many times in a day, the hands of a clock are straight?	Pick one:
A) 22 B) 6 C) 77 D) 888 E) 11

Solution: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only).   So, in a day, the hands point in the opposite directions 22 times.   22nswer:22
Answer: A
What is the number in the unit place in (729)59? Choose the correct choice from the following choices
A) 9 in the unit place.	B) 1 in the unit place.	C) 6 in the unit place.	D) 7 in the unit place.	E) none of these

Solution: When 729 is multiplied twice, the numbers in the unit place in 1.   In other words, if 729 is multiplied an even number of times, the number   in the unit place will be 1. Thus, the number is the place in (729)^58 is 1.   Thus, (729)59 = (729)^58 x (729) = (.....1) x (729)   = 9 in the unit place.   9 in the unit place.NSWER:9 in the unit place.
Answer: A
Ram, who is half as efficient as Krish, will take 36 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?	Choose the correct choice from the following.
A) 16 days
B) 12 days
C) 8 days
D) 6 days
E) 18 days

Solution: Number of days taken by Ram to complete task = 36   Since Ram is half as efficient as Krish , Amount of work done by Krish in 1 day = Amount of work done by Ram in 2 days   If total work done by Ram in 36 days is 36w   Amount of work done by Ram in 1 day = w   Amount of work done by Krish in 1 day = 2w   Total amount of work done by Krish and Ram in a day = 3w   Total amount of time needed by Krish and Ram to complete task = 36w/3w = 12 days   Answer 12 days36 /3= 
36 /3 = 12
12 days   Answer 12 days
Answer: B
If we need to change the average age of a group containing 4 persons from 40 to 38 by adding a person. What should be the age of the person newly added to the group?	Choose the correct choice
A) 20
B) 25
C) 30
D) 38
E) 40

Solution: Sum of the ages of the group having 4 persons and average 40 = 4x40 = 160   Sum of the ages of the group having 5 persons and average 38 = 5x38 = 190   Age of the new person added to the group = 190-160= 
190-160 = 30
30   Answer: 30
Answer: C
In how many different ways can 4 identical blue pants and 4 identical red pants be shared among 8 children such that each child receives a pant? Choices
A) 10320 B) 42320 C) 40320 D) 20320 E) 50320

Solution: BBB RRR   Therefore total number of ways is   6! but there are two groups of 3 identical things.   Therefore total number of "different" ways is   8!/ (4!) (4!) = 40320 ANS:40320
Answer: C
The average monthly income of P and Q is Dollar 5050. The average monthly income of Q and R is Dollar 6250 and the average monthly income of P and R is Dollar 5200. The monthly income of P is:
Choose the correct choice from the following choices
A) Dollar 3500  B) Dollar 4000  C) Dollar 4050  D) Dollar 5000  E) None

Solution: Explanation: Let P, Q and R represent their respective monthly incomes. Then, we have:   P + Q = (5050 x 2) = 10100 .... (i)   Q + R = (6250 x 2) = 12500 .... (ii)   P + R = (5200 x 2) = 10400 .... (iii)   Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)   Subtracting (ii) from (iv), we get P = 4000. P's monthly income = Dollar 4000.   Answer Dollar 4000
Answer: B
Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
Options:  A) 1:2:3  B) 2:3:4  C) 3:4:5  D) 4:5:6  E) None of these

Solution: Explanation:   Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.   Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).   ⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x] ⇒ 7x, 21x/2 and 14x.   ⇒ The required ratio =7x : 21x/2 : 14x   ⇒ 14x : 21x : 28x   ⇒ 2 : 3 : 4   Answer: 2:3:4
Answer: B
150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
Pick one
A) 30	B) 60	C) 45	D) 90	E) None of these

Solution: Rate of consumption of each man = 1050/(150 * 30) = 7/30 kg/day   Let us say 70 men take x days to consume 150 kg.   Quantity consumed by each item in x days = (7x/30) kg   Quantity consumed by 70 men in x days = (7/30 x)(70) kg   = (7/30 x) * (70) = 960   x = 60 days   ANSWER:60
Answer: B
The cost of 5kg of rice is equal to 17 kg of potatoes. Cost of 7 kg of rice is Rs.476. What will be the cost of 3 kg of rice and 5 kg of potatoes together? Choose the correct choice from the following options
A) Rs.302 B) Rs.312 C) Rs.328 D) Rs.304 E) Rs.308

Solution: Explanation:   Price of 1 kg of rice = 476/7 = Rs.68.   Price of 5 kg of rice = Rs.68 x 5 = Rs.340.   Cost of 17 kg potatoes = Rs.340.   :. Cost of 1 kg potato = Rs.340/17 = Rs.20.   :. Cost of 3 kg rice + 5 kg potato = 3 x 68 + 5 x 20 = Rs.304.   Answer: Option Rs.304
Answer: D
27 is a perfect cube. When x is added to the prime factor of 27, the result is also a perfect cube. What is x?	Select
A) 1
B) 3
C) 5
D) 7
E) 11

Solution: 27 is 3*3*3   A   3+1= 
  3+1 = 4
4, 4=2*2   B   3+3= 
  3+3 = 6
6, 6=2*3   5 3+5 = 8, 8=2*2*2   D   3+7= 
  3+7 = 10
10, 10=2*5   E   3+11= 
  3+11 = 14
14, 14=2*7   5 is the only addition that gives a perfect cube.
Answer: C
At 12:10 o'clock Bill leaves point A towards point B at a speed of 30 Km/h. At 13:40 o'clock Richi leaves from the same point towards point B also, but at a speed of 60 Km/h. At what time will Richi passes over Bill?
Choose the correct choice from the following choices
A) 14:40.	B) 15:10.	C) 16:10	D) 15:40	E) 15:30

Solution: Distance travelled by Bill in 1hr 30min ( 12:10 to 13:40) = 30kmph*(90/60)hr = 45km   Relative speed = Richi's speed ~ Bill's speed = 30kmph   Time taken by Richi to cross Bill = 45/30= 
45/30 = 3/2 = around 1.5
1.5 hrs   Time at which Richi will cross Bill= 13:40 + 1:30 = 14:70 = 15:10 hrs   Ans. 15:10.
Answer: B
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Pick one.
A) 200	B) 240	C) 250	D) 260	E) 270

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer: Option 240
Answer: B
If f(x) = k(x - k) and k is a constant, what is the value of f(8) - f(3), in terms of k?
Choose the correct answer
A) 1
B) 5k
C) 7k - 1
D) k^2 + k
E) k^2 - k

Solution: First, distribute f(x). k(x - k) = kx - k^2. Now evaluate f(8) and f(3):   f(8) = k(8) - k^2 = 8k - k^2   f(3) = 3k - k^2   Answer 5k
Answer: B
In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 4 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Choices:
A) 1.
B) 2.
C) 3.
D) 4.
E) 5.

Solution: Total boxes = 23   Filled with toys = 16   Filled with appliance = 7   Total boxes for sale = 8   Toy boxes for sale = 4   Appliance boxes for sale = 4   Appliance boxes not for sale = 7 - 4= 
7 - 4 = 3
3   3.orrect Option: 3.
Answer: C
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? Choose the most appropriate option:
A) 200 sec
B) 190 sec
C) 210 sec
D) 150 sec
E) 250 sec

Solution: Time taken by B run 1000 meters = (1000 * 10)/50= 
(1000 * 10)/50 = 200
200 sec.   Time taken by A= 200 - 10= 
200 - 10 = 190
190 sec.   ANSWER:190 sec
Answer: B
a call center agent has a list of 305 phone numbers of people in alphabetic order of names (but she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a message to him. If each call takes 2 minutes to complete, and every call is answered, what is the minimum amount of time in which she can guarantee to deliver the message to
Mr Sharma. Pick one.
A) 18
B) 19
C) 20
D) 21
E) 22

Solution: Since the agent does not have any of the names, he calls all 305 numbers.   Depending on the response, he divides the number into two halves 305/2   i.e. 152 or 153(choose as you like,I chose 152),   if the name deepak sharma lies in first half of 152,   then he calls all 152 numbers and check each time dividing by 2 until he finally connects with deepak sharma...   so the sequence will be 152,76,38,19,9,4,2,1,0. since total number of tries is 9...   minimum time required will be 9*2= 
9*2 = 18
18minutes   18NSWER:18
Answer: A
If the volume of two cubes are in the ratio 64:8, the ratio of their edges is:	Select.
A) 3:1 B) 3:2 C) 3:5 D) 2:1 E) None of these

Solution: Explanation:   Let the edges be a and b of two cubes, then   a3/b3=64/8   =>(a/b)3=(4/2)3   a/b=2/1   =>a:b=2:1   Option 2:1
Answer: D
Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 11?	Select:
A) 13	B) 16	C) 18	D) 19	E) 22

Solution: A. 13 (cannot be weighed)   B. 15 (can be weighed by keeping weights of 11,4 and 1 kg)   C. 17 (can be weighed by keeping weights of 11 and 7 kg)   D. 19(can be weighed by keeping weights of 11, 7 and 1kg )   E. 21 (can be weighed by keeping weights of 11, 7 and 4 kg)   13
Answer: A
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of
visitors in a month of 30 days starting with sunday is
Choices.
A) 280 B) 285 C) 290 D) 295 E) None of these

Solution: Explanation:   As the month begin with sunday, so there will be five sundays in the month. So result will be:   =(510×5+240×2530)=(855030)=285   Answer: Option 285
Answer: B
A sum of $1000 amounts to $1500 in 5 years at simple interest. If the interest rate is increased by 5% it would amount to how much ?
Select the correct option
A) $1000	B) $750	C) $1541	D) $1478	E) $1750

Solution: S.I = 1500-1000= 
1500-1000 = 500
500   P= $1000   T = 5 years   R = 100*500 / 1000*5 = 10%   New rate = 10+5= 
10+5 = 15
15%   New S.I.= 1000*15*5/100= 
1000*15*5/100 = 750
$750   New amount= 1000+750= 
1000+750 = 1_750
$1750   Answer is $1750
Answer: E
The average of 55 numbers is 50. If two numbers namely 24 and 48 are discarded, The average of
remaining numbers is?  Answers:
A) 40 B) 37.5 C) 50 D) 60 E) 70

Solution: Total of 50 numbers = 55 * 50= 
55 * 50 = 2_750
2750   Average of 53 numbers= 2750-(45+55) / 53   = 2650 / 53= 
2650 / 53 = 50
50   Answer is 50
Answer: C
David can read m pages in 15 minutes. At this rate, how long will it take him to read n pages?	Answers:  A) (10/m)*n  B) (12/m)*n  C) (15/m)*n  D) (16/m)*n  E) (20/m)*n

Solution: m page in 15 mins   i.e. 1 page in 15/m mins   i.e. n pages in (15/m)*n   Answer: option (15/m)*n
Answer: C
A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?  Choose the correct option.
A) 36 B) 50 C) 55 D) 26 E) 29

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 10) km/hr. x - 10 = 45 ==> x = 55 km/hr   Answer: 55
Answer: C
If two sides of a triangle have lengths 1 and 5, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19 Choose one.
A) None B) I only C) II only D) II and III only E) I, II, and III

Solution: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.   Therefore:   (5-1) < {third side} < (5+1).   4 < {third side} < 6.   Perimeter = {third side} + 1 + 5 = {third side} + 6.   10 < {perimeter} < 12.   answer None
Answer: A
A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of n for how many dollars was each share sold?
Select the correct option:
A) a) 2n/300
B) b) n/300
C) c) n/200
D) d) n/300 + 50
E) e) 350/n

Solution: Let c) n/200ost of 300 shares be $ 3000   So, c) n/200ost of 1 shares be $ 10 =>n/300   Selling price per share = (100+50)/100 * n/300   Or, Selling price per share = 3/2 * n/300 => m/200   Hence answer will be (c) n/200)
Answer: C
An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
Pick one
A) 10 hours	B) 13 hours	C) 17 hours	D) 21 hours	E) 25 hours

Solution: Explanation:   We can get the answer by subtrating work done by leak in one hour by subtraction of filling for 1 hour without leak and with leak, as   Work done for 1 hour without leak = 1/3   Work done with leak = 3 1/2=7/2   Work done with leak in 1 hr=2/7   Work done by leak in 1 hr=1/3=2/7=1/21   So tank will be empty by the leak in 21 hours.   ANSWER IS 21 hours
Answer: D
The remainder of the division of a number by 63 is 24. What will be the remainder when that number is divided by 7?
Please explain  Choose the correct option
A) 4 B) 3 C) 6 D) 7 E) 8

Solution: The easiest way to solve this question is by plugging in a number. Here are the steps I followed:   1) Choose a number X that when divided by 63 gives you 27 as a remainder. So I did x = 63 + 24= 
63 + 24 = 87
87.   2) Divide that number by 7. 87/7= 12R3   Since the remainder is 3, the correct answer is choice 3.
Answer: B
The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?	Options.
A) 5.2 minutes  B) 5.21 minutes  C) 5.25 minutes  D) 5.28 minutes  E) 6 minutes

Solution: Let both of them meet after TT min   4500 m are covered by Suresh in 60 m.   In TT min he will cover 4500T604500T60   Likewise, In TT min Suresh's wife will cover 3750T603750T60   Given,   4500T60+3750T60=7264500T60+3750T60=726   TT = 5.28 minutes   Option(5.28 minutes) is correct
Answer: D
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?  Choices
A) 24 days	B) 28 days	C) 34 days	D) 35 days	E) None of these

Solution: Explanation:   Less Men, means more Days {Indirect Proportion}   Let the number of days be x   then,   27 : 36 :: 18 : x   [Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]   x=36∗18 / 27   x=24   So 24 days will be required to get work done by 27 men.   Option 24 days
Answer: A
A polygon has 44 diagonals, then the number of its sides are	Pick one.
A) 11
B) 9
C) 7
D) 5
E) 3

Solution: Let the number of sides be n.   The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n>0   n(n - 1) / 2 - n = 44   n2 - 3n - 88 = 0   n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0   n = -8 or n = 11.   11NSWER:11
Answer: A
In what time will a train 134 m long cross an electric pole, it its speed be 169 km/hr?  Select the correct option:
A) 2.5	B) 2.7	C) 2.9	D) 2.3	E) 2.1

Solution: Speed = 169 * 5/18 = 46.9 m/sec   Time taken = 134/46.9   = 2.9 sec.   Answer: 2.9
Answer: C
4 dice are thrown simultaneously on the board. Find the probability show the same face.	Choose the most appropriate option:
A) 1/211
B) 2/213
C) 1/216
D) 2/223
E) 3/223

Solution: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:   =6×6×6×6=64=6×6×6×6=64   n(S)=64n(S)=64   Let XX be the event that all dice show the same face.   X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}   n(X)=6n(X)=6   Hence required probability,   =n(X)n(S)=664=n(X)n(S)=664   =1/216   1/216
Answer: C
If a man lost 4% by selling oranges at the rate of 36 a rupee at how many a rupee must he sell them to gain 44%?
Options
A) 1 B) 8 C) 9 D) 24 E) 3

Solution: 96% ---- 36   144% ---- ?     96/144 * 36= 
  96/144 * 36 = 24
24   Answer: 24
Answer: D
4 out of 5 parts in the given question are exactly same. Which part is not equal to other parts.
(A) 256/2 + 3 = (B) 65.5*2 = (C) 240/4 + 70 =(D) 11 + 94 + 25 = (E) 7.5 +23.5 +89.3 + 10.7
Choose the correct answer.
A) U B) H C) C D) GH E) J

Solution: Explanation:   (A) 256/2 + 3 = (B) 65.5*2 = (C) 240/4 + 70 =(D) 11 + 94 + 26 = (E) 7.5 +23.5 +89.3 + 10.7   (A) 131 = (B) 131 = (C) 130 = (D) 131 = (E) 131   ANSWER: C
Answer: C
The length of 3 ropes are in the ratio 4 : 5 : 6. If the sum of the weights of the longest and the shortest rope is 100 metres more than the length of the third rope, what is the length of the shortest rope?
Select the correct option:	A) 80m	B) 180m	C) 100m	D) 60m	E) of these

Solution: Let the lengths of the three ropes be 4k, 5k and 6k respectively.   4k + 6k = 5k + 100   => 5k = 100 => k = 20   Therefore the weight of the lightest boy   = 4k = 4(20) = 80m   80mNSWER:80m
Answer: A
If it takes a machine 1⁄3 minute to produce one item, how many items will it produce in 2 hours? Choose the correct choice from the following
A) 1⁄3 B) 4⁄3 C) 80 D) 120 E) 360

Solution: 1 item takes 1/3 min so it takes 120 min to produce x   x/3=120 the x=360   Answer:360
Answer: E
A NEWSPAPER manufacturer produces 800 units of a certain model each month at a cost to the manufacturer of £50 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £80,000?  Choose the correct choice from the following answers:
A) 115	B) 520	C) 550	D) 750	E) 796

Solution: 800(x-50)≥80,000   x-50≥800   x≥750   Answer: Option 750
Answer: D
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 one.
A) 11 B) 10 C) 76 D) 16 E) 12

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: 10
Answer: B
When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?  Choose the correct answer:	A) 32	B) 81	C) 60	D) 27	E) 11

Solution: Explanation:   Let the number be   2 + 1/2[1/3(a/5)] = a/15   => 2 = a/30 => a = 60   Answer:60
Answer: C