MU-NLPC/Calc-aqua_rat huggingface dataset:
Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 59.4. The difference between the unit digit and hundreds digit of that number is :  Select the correct option
A) a) 6 B) b) 3 C) c) 2 D) d) 1 E) e) 0

Solution: Since the average increased by 59.4 and there were a total of 10 numbers, it means the incorrect number was 594 greater than the correct number.   Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)   Then the incorrect number was cba.   100c + 10b + a - (100a + 10b + c) = 594   99c - 99a = 99(c - a) = 594   594 = 99*6 = 99(c - a)   So c - a = 6   a) 6nswer (a) 6)
Answer: A
A crate of apples contains 1 bruised apple for every 30 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 15 apples not fit to sell in the crate, how many apples are there in the crate?	Choose the correct choice from the following choices: A) 270 B) 360 C) 480 D) 600 E) 840

Solution: as given 3 out of every 4 bruised apple is not fit to sell   or, 75% of the bruised apples are not fit to sell.   as per the question 15 are not fit to sell   or,   0.75x=15   x=1500/75= 
1500/75 = 20
20   thus total number of bruised apples=20   total number of apples =30*20= 
30*20 = 600
600   Answer: 600
Answer: D
Find the SI on Rs 8000 for 4 yrs at 10% per annum rate of interest?	Choose the correct choice from the following answers:
A) Rs 3000
B) Rs 3500
C) Rs 4000
D) Rs 4400
E) Rs 4800

Solution: Simple Interest =   PTR   100   = 8000 X 5 X   10   100   = Rs 4000   Rs 4000
Answer: C
In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,5) and (t,-8). What is the least possible value of the slope of line L? Choose the correct choice from the following choices:
A) -6.5 B) 2 C) -2 D) -6 E) -10

Solution: We need to find out the value of p and L to get to the slope.   Line L and Graph y intersect at point (p,5). hence, x= p and Y=5 should sactisfy the graph. soliving   5 = -p2 +9   p2 = 4   p = + or - 2   simillarly point (t,-8) should satisfy the equation. hence x=t and Y=-8.   -7 = -t2+9   t = +or - 4   considering p = -2 and t =4, the least slope is (-8-5)/(4-2) = -6.5   IMO option -6.5 is correct answer.
Answer: A
A began a business with Rs.85,000. He wasjoined afterwards by B with Rs.42,500. For how muchperiod does B join, if the profits at the end of the yr are dividedin the ratio of 3:1? Choose the most appropriate option
A) 5 months
B) 8 months
C) 9 months
D) 11 months
E) 21 months

Solution: Suppose B joined for x months. Then,   Then, 85000 x 12	=	3   42500 x x	1   x = 85000 x 12 = 8.   42500 x 3   So, B joined for 8 months.   8 months
Answer: B
A batsman makes a score of 56 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?	Pick
A) 25  B) 8  C) 27  D) 29  E) 39

Solution: Let the average after 17 innings = x   Total runs scored in 17 innings = 17x   Average after 16 innings = (x-3)   Total runs scored in 16 innings = 16(x-3)   Total runs scored in 16 innings + 56 = Total runs scored in 17 innings   => 16(x-3) + 56 = 17x   => 16x - 48 + 56 = 17x   => x = 8   Answer is 8.
Answer: B
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Options:  A) 15  B) 12  C) 13  D) 18  E) 19

Solution: Let the present ages of Arun and Deepak be 4x and 3x years respectively.   Then, 4x + 6 = 26 => x = 5   Deepak's age = 3x = 15 years.   15NSWER 15
Answer: A
If x is real, find the maximum value of the expression -2x^2 + 9x + 11. Pick:
A) 12.125
B) 15.125
C) 18.125
D) 21.125
E) 24.125

Solution: This is an equation of a downward facing parabola.   The maximum value is the top point of the parabola.   -2x^2+9x+11 = (-2x+11)(x+1)   The roots are 11/2 and -1.   The maximum value must be when x is halfway between these two points.   x = 2.25   The maximum value is -2(2.25)^2+9(2.25)+11 = 21.125   The answer is 21.125.
Answer: D
A pump can fill a tank with water in 4 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ? Select:
A) 15hr 10min B) 16hr 20min C) 9hr 20min D) 15hr E) 14hr 25min

Solution: Work done by the leak in 1 hour = 1/4 - 1/7 = 3/28   Leak will empty the tank in 28/3 hrs = 9hr 20min   Answer is 9hr 20min
Answer: C
A box contains five bulbs out of which 3 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.  Pick one:
A) 39/10
B) 29/10
C) 19/10
D) 9/10
E) 125/128

Solution: Required probability   = 1 - 1/10   = 9/10   Answer: 9/10
Answer: D
A certain company consists of 7 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)	Select the correct option.
A) 84
B) 108
C) 135
D) 270
E) 364

Solution: Total # of teams of 3 possible is 15C3=455   # of teams with only managers or only non-managers is: 7C3+8C3=35+56= 
35+56 = 91
91;   # of teams of 3 with at least one manager or at least one non-manager is: 455-91= 
455-91 = 364
364.   ANSW364R:364
Answer: E
The L.C.M. of 2 numbers is 30. The numbers are in the ratio 2:3. Find their sum?  Choose one
A) 36 B) 25 C) 48 D) 32 E) 56

Solution: Let the numbers be 2x and 3x   L.C.M. = 6x   6x = 30   x = 5   The numbers are = 10 and 15   Required sum = 10+15= 
10+15 = 25
25   Answer is 25
Answer: B
If an average hard drive had a capacity of 0.4 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choose the correct choice from the following choices
A) 256
B) 512
C) 4096
D) 1024
E) 1536

Solution: 0.4*2^10=0.4*1024= 
0.4*1024 = 409.6
409.6   The answer is 4096.
Answer: C
A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 4 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?	Choose the correct choice from the following answers
A) 11/30 B) 29/60 C) 17/30 D) 31/45 E) 11/15

Solution: I think D - 31/45 is the correct answer.   Here goes:   Lets assume originally the number of beds = x   After the new tower, the total combined no of beds = 4x   So old = x, New = 3x   Now 1/3 of x are occupied and 1/5 of 3x are occupied which simplifies to (3/5)x   We are shifting 1/3 of x to the new ward so there will now be:   1/3 of x plus 3/5 of x occupied in the new ward. Add them up to get 14/15 of x   There are 3x beds in New Tower so ratio is:   (14/15)x / 3x = 14/45 of x   Subtract that from 45/45 of x and you get the number of un-occupied beds to total capacity of New Tower =31/45   31/45
Answer: D
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges? Choose the correct choice from the following options
A) 20%
B) 30%
C) 35%
D) 40%
E) 50%

Solution: Let the side of the square(ABCD) be x metres.   Then, AB + BC = 2x metres.   AC = 2x = (1.41x) m.   Saving on 2x metres = (0.59x) m.   Saving % = 0.59x x 100 % = 30% (approx.)   2x   30%)
Answer: B
Find the number which is nearest to 3105 and is exactly divisible by 21.
Choose the correct choice from the following answers:
A) 3104	B) 3106	C) 3108	D) 3109	E) 3103

Solution: On dividing 3105 by 21, we get 18 as remainder.   Number to be added to 3105 = (21 - 18) - 3.   Hence, required number = 3105 + 3= 
3105 + 3 = 3_108
3108.   ANSWER 3108 3108
Answer: C
The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time E all five colored lights will all flash together at the exact same time?
Choose one
A) 0:03 AM
B) 0:04 AM
C) 0:06 AM
D) 0:12 AM
E) 0:24 AM

Solution: Time taken by each light to on   Red = 20 secs   Blue = 30 secs   Green = 45 secs   Orange = 60 secs   Yellow = 80 secs   We need to take LCM to find the time all five colored lights will flash together.   LCM = 720 secs   =12 mins   =0.12 AM   Ans = 0:12 AM
Answer: D
If 7% of the sale price of a watch is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Re 1, then what is the cost price of the watch?	Pick one:
A) Rs 400
B) Rs 350
C) Rs 300
D) Rs 280
E) Rs 380

Solution: Let C.P. = X and S.P. = Y   => 7 % of Y = 8% of X and 9% of Y =10% of X + 1   => 7Y = 8X and 9Y = 10X + 100   => 9 x (8X / 7) = 10 X + 100   => X = Rs. 350   ANSWER:Rs 350
Answer: B
Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?  Options
A) 150
B) 125
C) 140
D) 180
E) 200

Solution: 3x+4x = 420   x=60== 3x=180   ANSWER 180
Answer: D
A 2member committee comprising of one male & one female member is to be constitute out of 5 males and 3females. Among st the females. Ms.A refuses to be a member of the committee in which Mr.B is taken as the member. In how many different ways can the committee be constituted ? Choose the correct choice from the following.
A) 10
B) 14
C) 16
D) 18
E) 21

Solution: 5C1 * 3C1 -1   = 15-1= 
15-1 = 14
14   14
Answer: B
The speed of a boat in still water in 42 km/hr and the rate of current is 8 km/hr. The distance travelled downstream in 44 minutes is:
Choose the correct choice from the following answers.
A) 86.6 km B) 46.6 km C) 36.6 km D) 35.6 km E) 26.6 km

Solution: Speed downstream = (42 + 8)= 
(42 + 8) = 50
50 kmph   Time= 44 minutes =44/60 hour = 11/15 hour   Distance travelled = Time × speed =11/15×50 = 36.6 km   ANSWER:36.6 km
Answer: C
In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number P and the smallest possible number of students that could have taken both geometry and biology? Choose one:
A) 144
B) 119
C) 113
D) 88
E) 31

Solution: OFFICIAL SOLUTION:   First of all, notice that since 144 took geometry and 119 took biology, then the number of students who took both geometry and biology cannot be greater than 119.   {Total} = {geometry} + {biology} - {both} + {neither};   232 = 144 + 119 - {both} + {neither};   {both} = 31 + {neither}.   {both} is minimized when {neither} is 0. In this case {both} = 31.   The greatest possible number of students P that could have taken both geometry and biology, is 119.   Thus, the answer is 119 - 31= 
119 - 31 = 88
88.   Answer: 88.
Answer: D
If R and S are non-zero integers, and R/S > 1, then which of the following must be true?	Choose the correct choice from the following options.
A) R > S  B) 2R > S  C) R^2< S^2  D) R^3 < S^3  E) RS > S

Solution: RS > S
Answer: E
A completes a work in 20 days B in 60 days C in 45 days. All three persons working together on a project got a profit of Rs.26000 what is the profit of B?	Choices
A) 4878 B) 4675 C) 4817 D) 4818 E) 4875

Solution: We know that profits must be shared as the ratio of their efficiencies. But efficiencies are inversely proportional to the days. So efficiencies of A : B : C = 1/20 : 1/60 : 1/45 = 9 : 3 : 4   So B share in the total profit = 316×26000316×26000 = Rs.4875   Answer:4875
Answer: E
The fourth proportional to 28, 14 and 18 is?
Pick.
A) 2
B) 6
C) 7
D) 8
E) 9

Solution: (14*18)/28= 
(14*18)/28 = 9
9   Answer: 9
Answer: E
Anand and Deepak started a business investing Rs. 40,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is? Select the correct option
A) 2777 B) 2888 C) 6440 D) 2882 E) 2781

Solution: Ratio of their shares =40000 : 35000 = 8:7   Deepak's share = 13800 * 7/15 = Rs. 6440.   Answer: 6440
Answer: C
Oranges are bought at 7 for Rs.2. At what rate per hundred must they be sold to gain 33%? Pick:
A) 27
B) 38
C) 39
D) 44
E) 55

Solution: 7 oranges bought for rs 2   1 orange cost =2/7   therefore for 100 oranges =100*(2/7)   gain =33%    200/7+(33/100)*200/7= 
 200/7+(33/100)*200/7 = 38
rate per hundred he want to sell   ans :38   ANSWER:38
Answer: B
A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 350 bolts?
Choose the correct choice from the following:	A) 84	B) 72	C) 120	D) 144	E) 180

Solution: Old Machine   100 bolts in 60 mins   so,   5/3 bolts in 1 min   New Machine   150 bolts in 60 mins   so,   5/2 bolts in 1 min   together,   5/3 + 5/2 =   25/6 bolts in 1 min   so, for 350 bolts   350 * 6 / 25= 
350 * 6 / 25 = 84
84 mins   84ns 84
Answer: A
A math teacher has 25 cards, each of which is in the shape of a geometric figure. Half of the cards are rectangles, and a third of the cards are rhombuses. If 8 cards are squares, what is the maximum possible number of cards that re circles.  Choose one
A) 8  B) 10  C) 11  D) 12  E) 13

Solution: a square is a special kind of rhombus (sides are perpendicular)   a square is a special kind of rectangles (sides with same length)   Among the 25 cards with have:   15 rectangles   10 rhombus   8 squares   Among the 15 rectangles, there could be 8 special ones (with sides of same length) that are squares. That lets at least 7 rectangles that are not square.   Among the 10 rectangles, there could be 8 special ones (with sides perpendicular) that are squares. That lets at least 2 rhombus that are not square.   We have 8 squares.   So the minimum different cards that represent a square, a rhombus or a rectangle is   2 + 7 + 8= 
  2 + 7 + 8 = 17
17   Which means that the maximum number of circles that you could have is  25 - 17= 
 25 - 17 = 8
8   8nswer (8)
Answer: A
If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x  Choose the correct choice from the following answers:
A) I only B) II only C) III only D) I and II E) I ,II and III

Solution: Ans:   from the conditions given to us we get x>y and the min value of y can be 2 , therefore x will be a multiple of 4 so both I and ii will always be non-prime but iii will not be an integer. Answer (I and II).
Answer: D
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions. Choose the correct answer
A) 288
B) 704
C) 777
D) 662
E) 288

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.4= 
500 * 2 * 22/7 * 22.4 = 70_400
70400 cm= 704 m   Answer:704
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?  Choose the correct option.
A) 120 m	B) 190 m	C) 115 m	D) 110 m	E) 150 m

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 9= 
50/3 * 9 = 150
150 m   Answer: 150 m
Answer: E
Nine carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if eight of the carpenters work together at their respective rates ?  Choose the correct choice.
A) 11/15
B) 3/5
C) 11/30
D) 47/135
E) 5/9

Solution: Farmer A, B, C, and D   A's rate: 1/3 job/hour   B's rate: 1/4 job/hour   C's rate: 1/5 job/hour   D's rate: 1/7 job/hour   By intuition we know that the three fastest farmers are A B and C.   As such   (1/3 + 1/4 + 1/5)*(8/9) = ?   47/135 or (47/135)
Answer: D
A train speeds past a pole in 15 sec and a platform 110 m long in 25 sec, its length is?	Choose the correct answer
A) 100	B) 150	C) 160	D) 165	E) 180

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 110)/25 = x/15 => x = 165 m.   Answer: Option 165
Answer: D
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases. Options.
A) 8:8 B) 8:7 C) 8:2 D) 8:1 E) 8:9

Solution: Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.   Let the dimensions of the carpet in the second case be 7y, 3y units respectively.   From the data,.   2(3x + 2x) = 2(7y + 3y)   => 5x = 10y   => x = 2y   Required ratio of the areas of the carpet in both the cases   = 3x * 2x : 7y : 3y   = 6x2 : 21y2   = 6 * (2y)2 : 21y2   = 6 * 4y2 : 21y2   = 8 :7   Answer:8:7
Answer: B
Sneha went to the stationers and bought things worth Rs. 50, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 5%. then what was the cost of the tax free items? Choose the correct choice from the following answers:  A) Rs. 39.60  B) Rs. 39.50  C) Rs. 39.80  D) Rs. 49.50  E) Rs. 49.75

Solution: Solution   Let the amount of taxable purchases be Rs.x.   Then, 5% of x	= 50/100   x ‹=› (50/100×100/5)   = 10   Cost of tax free items	= Rs.[50 - (10 + 0.50)]   = Rs. 39.50   Answer Rs. 39.50
Answer: B
How Many 7â€™s are there in the following sequence which are immediately preceded by 6 but not immediately followed by 4?
6 7 4 2 7 4 9 3 6 7 1 9 4 7 2 9 6 7 1 3 6 7 4 3 6  Options:	A) 1	B) 2	C) 3	D) 4	E) None

Solution: Answer: B . 2
Answer: B
If 31/198 = 0.1565, what is the 97nd digit to the right of the decimal point of the fraction? Pick:  A) 1  B) 2  C) 6  D) 7  E) 9

Solution: we are not concerned what 31/198 means..   we have to look at the decimal..   0.1565 means 0.1565656....   so leaving girst and second digit to the right of decimal, all ODD numbered are 6 and all EVEn numbered are 5..   here 97 is ODD, so ans is 6   6
Answer: C
The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 6/12 square yards left that she did not use. What is the total amount of square yards of material Cheryl used? Choose the correct answer
A) 1/12  B) 1/9  C) 2/3  D) 1 1/9  E) 4/9

Solution: total bought = 4/9+2/3   left part 6/12--->2/3   so used part 4/9+2/3-2/3=4/9   Ans 4/9
Answer: E
A drink vendor has 10 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?  Choose the most appropriate option:
A) 135  B) 261  C) 422  D) 430  E) 438

Solution: The number of liters in each can = HCF of 10, 144 and 368 = 2 liters.   Number of cans of Maaza = 10/2= 
10/2 = 5
5   Number of cans of Pepsi= 144/2= 
144/2 = 72
72   Number of cans of Sprite= 368/2= 
368/2 = 184
184   The total number of cans required= 5 + 72 + 184= 
5 + 72 + 184 = 261
261 cans.   ANSWER:261
Answer: B
What will be the difference in simple and compound interest on 5000 after three years at the rate of 10 percent per annum? Select.
A) 155 B) 42 C) 62 D) 20 E) None of these

Solution: For 3 years:   Diff.=Sum×(rate)2(300+rate)/(100)3   = 5000×10×10×310/100×100×100 = 155   155nswer 155
Answer: A
How many such letter-pairs are there in the word MONKEY having same no. of letters left between them as they have in the series?
Select
A) 3 B) 4 C) 1 D) 5 E) 6

Solution: only 1   i.e (n,o)   ANSWER:1
Answer: C
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement? Choose the correct choice from the following options.
A) 9/31	B) 8/45	C) 9/42	D) 8/111	E) 9/113

Solution: The probability that first toy shows the even number,   =1021=1021   Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.   Hence, probability that second toy shows the even number,   =920=920   Required probability,   =(1021)×(920)=(1021)×(920)   =9/42   9/42
Answer: C
List R contains five numbers that have an average value of 70. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?	Select the correct option.
A) 28	B) 31	C) 34	D) 37	E) 40

Solution: The middle number is 70.   Let the smallest number be x. Then the largest number is 2x+20.   To make x as small as possible, let's make the remaining numbers as large as possible.   So the second largest = the largest = 2x+20.   The second smallest should be equal to the median.   The numbers are x, 70, 70, 2x+20, 2x+20.   x + 70 + 70 + 2x + 20 + 2x + 20 = 5*70= 
5*70 = 350
350   5x= 170   x = 34   The answer is 34.
Answer: C
If a rectangular room measures 11 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters)  Choose one
A) 24,000	B) 240,000	C) 2,400,000	D) 24,000,000	E) 264,000,000

Solution: E. 264,000,000   11*100*6*100*4*100 = 264,000,000
Answer: E
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?	Select the correct option.
A) 122
B) 134
C) 144
D) 156
E) 176

Solution: Explanation:   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.   144)
Answer: C
Molly can do a task in 10 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?
Select the correct option
A) 4.5	B) 6	C) 7.5	D) 8	E) 8.5

Solution: Each day, Molly can do 1/10 of the task.   Each day, Sandy can do 1/30 of the task.   Each day, they can do 1/10 + 1/30 = 2/15 of the task.   The task will be completed in 15/2= 
15/2 = 15/2 = around 7.5
7.5 days.   The answer is 7.5.
Answer: C
If p/q = 3/7 , then 2p+q= ?
Choose one
A) 12  B) 14  C) 13  D) 15  E) 16

Solution: let p=3, q=7 then 2*3+7= 
2*3+7 = 13
13   so 2p+q=13.   ANSWER:13
Answer: C
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?  Choose the correct choice from the following options:
A) 34%  B) 54%  C) 57%  D) 78%  E) 87%

Solution: Total number of votes polled = (1136 + 7636 + 11628)= 
(1136 + 7636 + 11628) = 20_400
20400   So, Required percentage= 11628/20400 * 100= 
11628/20400 * 100 = 57
57%   57%
Answer: C
Find large number from below question The difference of 2 no's is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Choose the correct choice from the following answers
A) 1236	B) 1356	C) 1470	D) 1556	E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E