MU-NLPC/Calc-aqua_rat huggingface dataset:
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?  Choose the correct choice from the following:  A) 60  B) 68  C) 67  D) 69  E) 54

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: Option 68
Answer: B
Jimmy has 18% more cookies than Janice. What percentage of cookies should Jimmy give to Janice so that both Jimmy and Janice have the same number of cookies?	Choose the correct choice from the following:
A) 7.6%
B) 8.5%
C) 9%
D) 11%
E) 12.2%

Solution: An easy way to solve this question is by number plugging. Assume Janice has 100 cookies then Jimmy has 118 cookies. Now, for both Jimmy and Janice to have equal amounts of cookies we should give Janice 9 of Jimmy's cookies, which is 9/118=~7.6% of Jimmy's cookies.   7.6%nswer: 7.6%.
Answer: A
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 60?  Choose one
A) 3	B) 30	C) 40	D) 42	E) 70

Solution: Greatest common factor n and 16 is 4 = 2*2 * 2*2   Greatest common factor n and 45 is 3 = 3*3 *5   Greatest common factor n and 60 is = 2*3*5= 
2*3*5 = 30
30   Answer: 30.
Answer: B
Rajan mixed 24 kg of butter at Rs. 200 per kg with 36 kg butter at the rate of Rs. 150 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?	Select the correct option
A) Rs.129 B) Rs.120 C) Rs.238 D) Rs.178 E) Rs.126

Solution: CP per kg of mixture = [24*200) + 36*150)]/(24 + 36)   = Rs. 10200/60 =Rs. 170   SP = Rs.170 + 170*40/100   = Rs.170+68   = Rs.238   Answer:Rs.238
Answer: C
How many 3 – digit number can be formed from the digit 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choose the correct choice:
A) 5 B) 10 C) 15 D) 20 E) 25

Solution: Solution   Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.   Tens place can be filled by any of the remaining 5 numbers.   So, there are 5 ways of filling the tens place.   The hundreds place can now be filled by any of the reaming 4 digits. so, there are 4 ways of filling it.   So, Required number of numbers = (1 × 5 × 4) = 20 . Answer 20
Answer: D
Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?
Choose the correct choice from the following choices: A) k/m % B) (k-m) % C) [100(k-m)]/(100+k) % D) [100(k-m)]/(100+m) % E) [100(k-m)]/(100+k+m) %

Solution: If old price per share = X, old Earnings per share = Y   => Old ratio = X/Y   New price per share = X(100+k)/100, new Earnings per share = Y(100+m)/100   =>New ratio = X(100+K)/[(100+m)(Y)]   Increase in the ratios after simplifying comes to [100(k-m)]/(100+m) %   ANSWER:[100(k-m)]/(100+m) %
Answer: D
Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)Y can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?  Options:
A) 660
B) 600
C) 500
D) 300
E) 240

Solution: In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical. in this case,Y if you think logically, A,B,C,D options are not divisible by 6!. 6 is total number of letters in the word SELFIE. Only option E is divisible by 6!. So correct answer is 240 that is 240
Answer: E
A car is running at a speed of 80kmph. What distance will it cover in 20sec?
Choose the correct choice from the following options: A) 100m B) 440m C) 180m D) 200m E) 250m

Solution: Speed = 80kmph = 80*5/18 = 22 m/s   Distance covered in 20sec = 22*10 = 440m   Answer is 440m
Answer: B
In what time will a train 120 m long cross an electric pole, it its speed be 121 km/hr?
Choose the correct choice from the following answers: A) 2.5 B) 2.7 C) 2.9 D) 3.6 E) 2.1

Solution: Speed = 121 * 5/18 = 33.6 m/sec   Time taken = 120/33.6   = 3.6 sec.   Answer: 3.6
Answer: D
Average of money that group of 4 friends pay for rent each month is $800.After one persons rent is increased by 20% the new mean is $870.What was original rent of friend whose rent is increased?	Choose the correct choice from the following answers.
A) 800  B) 1400  C) 1000  D) 1100  E) 1200

Solution: 0.2X = 4(870-800)   0.2X = 280   X = 1400   Answer 1400
Answer: B
Find out the square of a number which when doubled exceeds its quarter by 7 ?	Select the correct option:
A) 16 B) 25 C) 19 D) 26 E) 17

Solution: 16   Let the number be p, then the square will be p^2   16ccording to question:   2p = (p/4) + 7   => 8p = p + 28   => p = 4   p^2 = 4^2 = 16.
Answer: A
In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 6 metres then what will be the area of the square so formed?	Choices:
A) Cannot be determined
B) 2600 cm2
C) 5184 cm2
D) 3025 cm2
E) None of these

Solution: Let the side of the square be x m.   ∴ Perimeter of the square = 48 × 6 = 4x ∴ x = 72 m   ∴ Area = (72)2 = 5184 m2   Answer 5184 cm2
Answer: C
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 5:4. The ratio of economy cars to sport utility vehicles is 3:2. What is the ratio of luxury cars to sport utility vehicles?  Choose the correct option.
A) 9:8
B) 8:9
C) 6:5
D) 2:3
E) 1:2

Solution: The ratio of economy to luxury cars is 5:4 --> E:L = 5:4 = 15:12.   The ratio of economy cars to sport utility vehicles is 3:2 --> E:S = 3:2 = 15:10.   Thus, L:S = 12:10 = 6:5.   Answer: 6:5.
Answer: C
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is a queen? Select: A) 5/13 B) 1/26 C) 1/52 D) 1/4 E) 1/13

Solution: The question should ask about the probability not the odds.   There are 13 spades, the probability that the spade we already have is a queen is therefore 1/13.   Answer:1/13.
Answer: E
A machine can finish a work in 15days and 2nd machine can finish the work in 30days. 2nd machine worked for 10days and left the job. In how many days, A alone can finish the remaining work?
Choose the correct choice from the following options
A) 5days B) 6days C) 10days D) 12days E) 15days

Solution: 2nd machine 10days work = 1/30*10 = 1/3   Remaining work = 1 - 1/3 = 2/3   now 1/15 work is done by 1st machine in 1day   2/3 work is done by 1 machine in 15*2/3= 
15*2/3 = 10
10days.   Answer is 10days
Answer: C
If each interior angle of a regular polygon is 144o, the it is	Select the correct option:
A) Octagon  B) Decagon  C) Dodecagon  D) Pentagon  E) None of these

Solution: Decagon, then each ext angle = 180-44=36 deg .   sum of all ext angles = 360 deg .   Then total ext angles = 360/36= 
360/36 = 10
10 means 10 sides of polygon.   ANSWER:Dodecagon
Answer: C
The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 21 years. What is the age of the new member ?
Pick.
A) 16 years B) 21 years C) 22 years D) 23 years E) 24 years

Solution: The average age of the 5 members is 20 years   => The sum of the ages of the 5 members is 20*5= 
20*5 = 100
100 years   Once the new member joins, the average age becomes 21 years.   Let the age of the new member be x.   Then (110+x)/6= 21   => x = 16 years   16 yearsnswer 16 years
Answer: A
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?  Choose one
A) 1 B) 2 C) 4 D) 3 E) 5

Solution: 40*(40/100)= 
40*(40/100) = 16
16 --- 64   ? --- 12=> Rs.3   Answer: 3
Answer: D
If x is an integer, then x(x - 1)(x - k) must be evenly divisible by three when k is any of the following values except
Choose the correct option
A) -4
B) -8
C) -1
D) 2
E) 5

Solution: if we put k=-1 we get:   X(x-1)(X+1) rearrange:(x-1)X(X+1)   so it looks like a sequenc,   if we assume that X =2 and put number from the answer then we get:   (x – 1)x(x – k)   k=5 =1.2.-3   k=2 =1.2.0   k=-1 =1.2.3   k=-4 =1.2.6   but when we put   k=-8 =1.2.10 not satisfied   so,the answer is -8
Answer: B
The LCM of three numbers is four times their GCF. Which of the following must be true of the numbers?
I. At least o ne of the numbers is odd.
II. Two of the three numbers must be same.
III. At least one number is the same as GCF. Select the correct option:
A) only  B) option II only  C) and III only  D) and II only  E) I and III only

Solution: Consider the following set: {2, 4, 8}.   GCF = 2.   LCM = 8 = 4*2.   The set discards options I and II. Only B fits.   Answer: option II only.
Answer: B
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choose the correct answer:	A) 140	B) 99	C) 88	D) 72	E) 12

Solution: Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140rea of the rectangle = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140nswer: 140
Answer: A
Mr. loyd wants to fence his Square shaped land of 120Sqft each side.If a pole is laid every 10ft how many poles do he need? Pick one:
A) 20
B) 30
C) 48
D) 50
E) 60

Solution: If each side is 120 feet..then total perimeter is 120*4= 
120*4 = 480
480   poles every 10 feet hence no of poles= 480/10= 
480/10 = 48
48   ANSWER:48
Answer: C
A sum of money deposited at compound interest (compounded yearly) amounts to $4200 in 2 years and to $4494 in 3 years. What is the interest rate?	Choose the correct choice from the following answers:  A) 3%  B) 5%  C) 7%  D) 9%  E) 11%

Solution: 4494 - 4200= 
4494 - 4200 = 294
294   294 / 4200= 
294 / 4200 = 7/100 = around 0.07
0.07= 7%   The answer is 7%.
Answer: C
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 675 sq m, then what is the breadth of the rectangular plot?  Choose the correct choice from the following options:
A) 11
B) 15
C) 18
D) 101
E) 1322

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 675   3b2 = 675   b2 = 225 = 15 (b > 0)   b = 15 m.   Answer: 15
Answer: B
The sum an integer N and its reciprocal is equal to 78/15. What is the value of N? Choose the correct choice from the following answers
A) 9  B) 8  C) 7  D) 6  E) 5

Solution: Write equation in N as follows   N + 1/N = 78/15   Multiply all terms by N, obtain a quadratic equation and solve to obtain N = 5   correct answer 5
Answer: E
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:	Pick one
A) 3 km/hr
B) 4 km/hr
C) 5 km/hr
D) 6 km/hr
E) 8 km/hr

Solution: Upstream relative speed is u + v=11km/hr   Downstream speed is u-v = 5   Where u = speed of boat in still water and v is speed of stream   Then adding two equations u+v + u-v =11+5   2u=16   Finally, u=8.   ANSW8 km/hrR : 8 km/hr
Answer: E
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices: A) 4402 B) 4418 C) 4400 D) 4418 E) 4412

Solution: X * (95/100) * (85/100) = 3553   X = 4400   Answer: 4400
Answer: C
Two airplanes take off from one airfield at noon. One flies due east at 201 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.?
Choose the most appropriate option: A) 166 B) 332 C) 400 D) 402 E) 566

Solution: D   In two hours:   the plane flying East will be 402 miles away from airport.   the other plane will be 566 miles away from airport.   566/402 = ~1.4 = ~sqrt(2)   This means that planes formed a right isocheles triangle => sides of such triangles relate as 1:1:sqrt(2) => the planes are 402 miles apart. 402
Answer: D
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg.His gain is …%.
Choose the correct choice from the following answers.
A) 5.26%	B) 5.36%	C) 4.26%	D) 6.26%	E) 7.26%

Solution: His percentage gain is 100*50/950 as he is gaining 50 units for his purchase of 950 units.   so 5.26%.   5.26%NSWER:5.26%
Answer: A
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 9 hours respectively. The ratio of their speeds is?
Answers.
A) 4:5	B) 4:3	C) 4:4	D) 4:9	E) 3:4

Solution: Let us name the trains A and B.   Then, (A's speed) : (B's speed)   = √b : √a = √9 : √16 = 3:4   Answer:3:4
Answer: E
A man can swim in still water at 4 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Options
A) 1.3
B) 7.5
C) 2.25
D) 1.5
E) 4

Solution: M = 4   S = x   DS = 4 + x   US = 4 - x   4 + x = (4 - x)2   4 + x = 8 -2x   3x = 4   x = 1.3   1.3NSWER:1.3
Answer: A
A train speeds past a pole in 15 seconds and a plaƞorm 100 meter long in 25 seconds. What is length
of the train ?	Choices:  A) 140 meter  B) 145 meter  C) 150 meter  D) 155 meter  E) None of these

Solution: Explanation:   Let the length of the train is x meter and Speed of the train is y meter/second   Then x/y = 15 [because distance/speed = Ɵme]   => y = 15/x   =>x+10025=x15x=150 meters   So length of the train is 150 meters   Answer: 150 meter
Answer: C
To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of K dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?  Choose the correct choice from the following answers:
A) K/T B) K/(T-S) C) SK/(T-S) D) SK/T(T-S) E) K(T-S)/T

Solution: Since no absolute values are given in the question we can replace the given parameters with assumed numbers,   Let Total colleagues be 100 (T)   Let total contribution be 900 (K) (point to note is that its total cost not per person)   Those who dont pay are S (30)   Per person cost = K/T = 900/100= 
900/100 = 9
9   So cost for those who failed to pay= (K/T) * S = SK/T = 30*9= 
30*9 = 270
270   The equation for people who would bear the total cost after S people fail= (T-S)=70   There fore the solution is (SK/T)/ (T-S) = SK/T(T-S) = 270/70   Answer SK/T(T-S)   Hope this helps !!!
Answer: D
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.3200? Options:  A) 8100  B) 3388  C) 7767  D) 4050  E) 2288

Solution: 3200* 9/8 * 9/8= 
3200* 9/8 * 9/8 = 4_050
4050   Answer: 4050
Answer: D
From a group of 3 boys and 3 men, four are to be randomly selected. What is the probability that equal numbers of boys and men will be selected?	Choose one:
A) 1/5
B) 3/5
C) 4/5
D) 2/5
E) 6/10

Solution: Using the first example, here is the probability of THAT EXACT sequence occurring:   BBMM = (3/6)(2/5)(3/4)(2/3) = 36/360 = 1/10   Each of the other 5 options will yield the exact SAME probability....   eg   BMBM = (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 Answer:   3/5
Answer: B
Mohan purchased 17 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choose one
A) A)Rs.598  B) B)Rs.594  C) C)Rs.650  D) D)Rs.595  E) E)of these

Solution: Explanation:   Price of 17 kgs of rice at Rs.26/kg = 17x26 = Rs.442   Price of 8 kgs of pulses at Rs.26/kg = 8x26 = Rs.208   Therefore, Total amount = Rs.442+Rs.208 = Rs.650.   Answer: Option Rs.650
Answer: C
The operation # is defined for all nonzero w and y by w#y = w + w/y. If a>0, then 1#(1#a) =	Choose the correct choice from the following
A) a  B) a+1  C) a/(a+1)  D) (a+2)/(a+1)  E) (2a+1)/(a+1)

Solution: w#y = w + w/y. If a>0, then 1#(1#a) =   You can see that a stands for y and 1 stands for w. I like to work with numbers so I did w=1 a=2 and a=y so y=2   1#a= 1+(1/2)= 
1+(1/2) = 3/2 = around 1.5
1.5 so now a is 1.5 --> 1+(1/1.5)=1 2/3 = 5/3   So now you can check by filling in a, which is 2:   A. a --> 2   B. a+1 --> 2+1=3   C. a/(a+1)-->2/(2+1)=2/3   D. (a+2)/(a+1)-->(2+2)/(2+1)=4/3   E. (2a+1)/(a+1)-->(2*2+1)/(2+1)=5/3   So (2a+1)/(a+1) is the answer.
Answer: E
A man borrowed some amount, after 3 years he paid Rs.10,400/- with 10% interest, then how much Amount he borrowed? Choose one.
A) Rs.6000/- B) Rs.6500/- C) Rs.7000/- D) Rs.7200/- E) Rs.8000/-

Solution: principal P = ?   Rate of interest R = 10%   Time T = 3 years   Accumulated Amount A = Rs.10400/-   A = P + I   A = P + PTR/100   A = P(1+ TR/100)   Rs.10400/- = P [1 + 3*10/100]   Rs.10400/- = P [1/1 + 3/10]   Rs.10400/- = P [10+3/10] = P[13/10]   Rs.10400/- = P * 13/10   ==> P = Rs.104000/13   ==> P = Rs.8000/-   Rs.8000/-
Answer: E
The boys ordered several pizzas for the weekend. When the first evening was over, the
following amounts of pizza were left over: 1/4 of the pepperoni pizza, 1/2 of the cheese pizza,
3/4 of the mushroom pizza and 1/4 of the supreme pizza. The next morning, each boy ate the
equivalent of 1/4 of a pizza for breakfast. If that finished the pizza, how many boys were there? Choose the correct choice from the following choices
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: 1/4 + 1/2 + 3/4 + 1/4 =   1/4 + 2/4 + 3/4 + 1/4 = 7/4 or 1 3/4 pizza left over   7/4 ÷ 1/4 = 7/4 x 4/1 = 7 boys   correct answer 7
Answer: C
Let f(x) = x^2 + bx + c. If f(1) = 0 and f(-6) = 0, then f(x) crosses the y-axis at what y-coordinate? Select:
A) -6 B) -1 C) 0 D) 1 E) 6

Solution: When x = 1 and when x = -6, the expression f(x) = x² + bx + c equals 0.   Then f(x) = (x-1)(x+6)   f(0) = -6   The answer is -6.
Answer: A
Given that s/t < 1, and both s and t are positive integers, which one of the following must be greater than 1? Choose the most appropriate option
A) s/t^2  B) s^2/t  C) s^2/t^2  D) t/s  E) √(s/t)

Solution: Since s/t is a fraction t must always be > 1   Given -   Which one of the following must be greater than 1   We can get the result one only when the denominator in s/t ( Which is less than 1 ) becomes numerator..   Among the given options only (D) has the required characteristic we are looking for...   Hence answer will be (t/s)
Answer: D
Selling an kite for Rs. 30, a shop keeper gains 15%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?	Choose the most appropriate option.
A) 3.5%	B) 10%	C) 11%	D) 15%	E) 20%

Solution: Explanation:   Marked price = Rs. 30   C.P. = 100/115 * 30 = Rs. 26.08   Sale price = 90% of Rs. 30 = Rs. 27   Required gain % = 0.92/26.08 * 100 = 3.5%.   3.5%nswer: 3.5%
Answer: A
The sum of the ages of 5 children born at the intervals of 2 years each is 50 years. what is the age of the youngest child ?	Choose one
A) 6
B) 18
C) 10
D) 99
E) 38

Solution: Let x = the youngest child. Each of the other four children will then be x+2, x+4, x+6, x+8.   We know that the sum of their ages is 50 .   so, x+(x+2)+(x+4)+(x+6)+(x+8) = 50   therefore The youngest child is 6 years old   6nswer: 6
Answer: A
A city council plans to renew its fleet of 60 police patrol cars by retiring 4 every month and buying 5 new cars. how many months will it take to replace the entire fleet of police cars?
Choose the correct option.
A) 15	B) 16	C) 10	D) 18	E) 13

Solution: Total fleet--60   End of 1st month -- (retires 4 and buys 5) total fleet--61(56 old 5 new).   End of 2nd month -- (retires 4 and buys 5) total fleet--62(52 old 10 new).   End of 3rd month -- (retires 4 and buys 5) total fleet--63(48 old 15 new).   End of 4th month -- (retires 4 and buys 5) total fleet--64(44 old 20 new).   End of 5th month -- (retires 4 and buys 5) total fleet--65(40 old 25 new).   End of 6th month -- (retires 4 and buys 5) total fleet--66(36 old 30 new).   End of 7th month -- (retires 4 and buys 5) total fleet--67(32 old 35 new).   End of 8th month -- (retires 4 and buys 5) total fleet--68(28 old 40 new).   End of 9th month -- (retires 4 and buys 5) total fleet--69(24 old 45 new).   End of 10th month -- (retires 4 and buys 5) total fleet--70(20 old 50 new).   End of 11th month -- (retires 4 and buys 5) total fleet--71(16 old 55 new).   End of 12th month -- (retires 4 and buys 5) total fleet--72(12 old 60 new).   End of 13th month -- (retires 4 and buys 5) total fleet--73(8 old 65 new).   End of 14th month -- (retires 4 and buys 5) total fleet--74(4 old 70 new).   End of 15th month -- (retires 4 and buys 5) total fleet--75(0 old 75 new).   15nswer is 15--after 15 months the council has totally replaced its fleet .
Answer: A
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?	Choose the correct choice
A) 1 kmph B) 7 kmph C) 8 kmph D) 4 kmph E) 3 kmph

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   \1 kmphnswer:1 kmph
Answer: A
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?	Choose the correct option
A) 16.5 B) 12.5 C) 14.5 D) 12 E) 13

Solution: et the quantities of A and B mixed be 3x kg and 7x kg.   Cost of 3x kg of A = 9(3x) = Rs. 27x   Cost of 7x kg of B = 15(7x) = Rs. 105x   Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x   Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66   Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50   16.5NSWER 16.5
Answer: A
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much? Choices:
A) 9680
B) 2899
C) 2893
D) 2790
E) 2702

Solution: (8000*3*2)/100= 
(8000*3*2)/100 = 480
480   9200   --------   9680   9680nswer: 9680
Answer: A
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?	Choose the correct choice from the following answers.
A) 76 Kmph B) 54 Kmph C) 62 Kmph D) 72 Kmph E) 108 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 600/20= 
600/20 = 30
30 M/Sec   Speed= 30*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 108 Kmph   Answer: 108 Kmph
Answer: E
(3 x 10^3) + (2 x 10^2) + (4 x 10) =  Answers.
A) 302400 B) 32400 C) 30240 D) 3240 E) 324

Solution: When you multiply a number by 10 you just add a zero   => 3 x 10^3 => add 3 zeros => 3 x 10^3 = 3000   =>2 x 10^2 = 200   => 4 x 10 = 40   =>3 x 10^3 + 2 x 10^2 + 4 x 10 = 3000 + 200 + 40= 
3000 + 200 + 40 = 3_240
3240=> answer is 3240 ( 3240)
Answer: D