MU-NLPC/Calc-aqua_rat huggingface dataset:
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 300 votes. Find the number of votes casted to the winning candidate?	Select.
A) 456
B) 744
C) 912
D) 1200
E) 775

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 300   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 300   62% -------- ?=> 775   ANSW775R:775
Answer: E
Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.  Select
A) 35 B) 56 C) 76 D) 87 E) 24

Solution: The product of two integers is equal to the product of their LCM and GCF. Hence.   16* N = 48 * 8   N = 48*8 / 16= 
48*8 / 16 = 24
24 correct answer 24
Answer: E
Of 21 applicants for a job, 14 had at least 5 years of prior work experience, 12 had advanced degrees, and 6 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees? Options
A) 1	B) 3	C) 5	D) 7	E) 9

Solution: Had advanced degrees and 5 years work experience: 6   Only had 5 years work experience: 14-6= 
14-6 = 8
8   Only had advanced degrees: 12-6= 
12-6 = 6
6   21-6-8-6= 
21-6-8-6 = 1
1   1nswer: 1
Answer: A
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.6 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect? Choose the correct choice from the following
A) 1/4
B) 1/2
C) 5/8
D) 5/6
E) 15/16

Solution: X - fraction of products Jane inspected   (1 - X) - fraction of products John inspected   0.6(X) + 0.5(1-X) = 0.75   0.1X = 0.75 - 0.5= 
0.75 - 0.5 = 0.25
0.25/0.1   X= 1/4   Therefore the answer is 1/4: 1/4.
Answer: A
A person divided his total amount into two parts in the ratio of 3:2. He invested the first part in a bank which gives simple interest at the rate of 10% pa and the second part in another bank which gives simple interest at the rate of 20%. If after 3 years the total interest received by him from both the banks is 42% of the total amount he deposited in both the banks together, what is the total amount he deposited ? Pick one
A) Rs. 16000	B) Rs. 18000	C) Rs. 20000	D) Cannot be determined	E) Data is not sufficient

Solution: Explanation :   Cannot be determinedata is not sufficient to find the answer   Answer : Option Cannot be determined
Answer: D
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choices
A) 9kmph B) 52kmph C) 13kmph D) 36kmph E) 45kmph

Solution: Let the speed of the goods train be x kmph.   Distance covered by goods train in 10 hours= Distance covered by express train in 4 hours   10x = 4 x 90 or x =36.   So, speed of goods train = 36kmph.   Ans: 36kmph
Answer: D
What is the twenty-sixth decimal to the right in the fraction 21/22?	Choose the correct choice
A) 1	B) 3	C) 5	D) 7	E) 9

Solution: 21/22= 
21/22 = 21/22 = around 0.954545
0.9545454545454545   The even-numbered decimal places are 5.   The answer is 5.
Answer: C
What is the thousandths digit in the decimal equivalent of 57/5000? Pick one:
A) 0
B) 1
C) 3
D) 5
E) 6

Solution: 57/5000 = 57 /(5*10^3)   = (57/5) *10^-3   =11.4 * 10^-3   =.0114   Thousandths digit = 1   Answer 1
Answer: B
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?  Pick one:
A) 11/21	B) 10/21	C) 3/5	D) 2/7	E) 5/7

Solution: Total number of balls =7   Let S be the sample space.   Then, n(S)	= Number of ways of drawing 2 balls out of 7= 7C2 =(7 x 6)(2 x 1)= 21.   Let E = Event of drawing 2 balls, none of which is blue.   n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.   n(E)= 5C2=(5 x 4)(2 x 1)= 10.   P(E) =n(E)=10.   n(S)	21   Let E = Event of drawing 2 balls, none of which is blue.   n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.= 5C2=(5 x 4)(2 x 1)= 10.   P(E)=N(E)/N(S)=10/21   So the answer is option 10/21
Answer: B
Find the odd man out. 12, 21, 32, 45, 60, 77, 95  Choose the correct answer:	A) 45	B) 95	C) 32	D) 21	E) 95

Solution: 12 + 9= 
12 + 9 = 21
21   21 + 11= 
21 + 11 = 32
32   32 + 13= 
32 + 13 = 45
45   45 + 15= 
45 + 15 = 60
60   60 + 17= 
60 + 17 = 77
77   77 + 19= 
77 + 19 = 96
96   Hence, 95 is wrong. 96 should have come in place of 95   Answer is 95
Answer: B
A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Pick.
A) 48 min. past 12
B) 48 min. past 17
C) 48 min. past 13
D) 48 min. past 11
E) 48 min. past 16

Solution: Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours.   24 hours 10 min. of this clock = 24 hours of the correct clock.   hrs of this clock = 24 hours of the correct clock.   29 hours of this clock = hrs of the correct clock   = 28 hrs 48 min of the correct clock.   Therefore, the correct time is 28 hrs 48 min. after 8 a.m.   This is 48 min. past 12.   48 min. past 12nswer: 48 min. past 12
Answer: A
The average marks of 20 students in a class is 100. But a student mark is wrongly noted as 50 instead of 10 then find the correct average marks?	Choose one
A) 78  B) 82  C) 98  D) 91  E) 85

Solution: correct avg marks = 100+(10-50)/20   avg = 100-2= 
100-2 = 98
98   Answer is 98
Answer: C
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choose the most appropriate option:
A) 22	B) 35	C) 77	D) 54	E) 23

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 28/2= 
2.5 * 28/2 = 35
35 cm2   Answer:23
Answer: E
Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?	Choose the correct answer:
A) 22%
B) 25%
C) 28%
D) 31%
E) 34%

Solution: Let x be Mork's income, then Mindy's income is 4x.   The total tax paid is 0.45x + 0.8x = 1.25x   1.25x / 5x  0.45  + 0.8= 
 0.45  + 0.8 = 1.25
1.25x   1.25x / 5x = 0.25   The answer is 25%. 1.25  / 5= 
 1.25  / 5 = 0.25
0.25   The answer is 25%.
Answer: B
A 6% stock yields 8%. The market value of the stock is:  Choices:
A) Rs. 48
B) Rs. 75
C) Rs. 96
D) Rs. 133.33
E) Rs. 143.33

Solution: Let the face value of the stock is Rs.100   It yields Rs.6   Market value of the stock=(6/8)*100=Rs.75   ANSWER:Rs. 75
Answer: B
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr. find the time taken by the boat to go 80 km downstream?  Options:
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
E) None

Solution: Solution   Speed Downstream	= (13 + 4) km/hr   = 17 km/hr.   Time taken to travel 80 km downstream	=(80 / 17)hrs   = 4 hrs 42 minutes.   Answer None
Answer: E
What percent is 70 of 280?
Choose the correct option:
A) 25 %
B) 30%
C) 35%
D) 40%
E) 42%

Solution: 70/280 = 1/4   1/4 × 100 = 25 %   25 %)
Answer: A
A, B and C invests Rs.6000, Rs.5000 and Rs.3000 in a business. After one year C removed his money; A and B continued the business for two more year. If the net profit after 3 years be Rs.4206, then C's share in the profit is?	Choose the correct choice from the following answers:
A) 276  B) 289  C) 400  D) 350.5  E) 300

Solution: 6*36 : 5*36 : 3*12   6: 5: 1   1/12 * 4206= 
1/12 * 4206 = 701/2 = around 350.5
350.50   Answer: 350.5
Answer: D
The angle between the minute hand and the hour hand of a clock when the time is 9.30, is  Select the correct option:
A) 35°	B) 65°	C) 45°	D) 105°	E) 95°

Solution: Angle between hands of a clock   When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(H−M/5)+M/2 degree   When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(M/5−H)−M/2 degree   Here H = 9, M = 30 and minute hand is behind the hour hand.   Hence the angle   =30(H−M/5)+M/2   =30(9−30/5)+30/2   =30(9−6)+15   =30×3+15 =105°   Answer is 105°.
Answer: D
If n and k are integers whose product is 2500, which of the following statements must be true?  Choose the most appropriate option.
A) n+k>0  B) n does not equal k  C) Either n or k is a multiple of 10  D) If n is even, then k is odd  E) If n is odd, then k is even

Solution: If n is odd and k is odd, then the product is odd.   The answer is If n is odd, then k is even.
Answer: E
The total age of A and B is 14 years more than the total age of B and C. C is how many year younger than A  Choose the correct option.
A) A)11
B) B)12
C) C)13
D) D)14
E) E)15

Solution: Explanation:   Given that A+B = 14 + B + C   => A – C = 14 + B – B = 14   => C is younger than A by 14 years   Answer: Option 14
Answer: D
An art gallery owner is hanging paintings for a new show. Of the three paintings she has to choose from, she can only hang two on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?	Choose the correct choice
A) 6  B) 30  C) 64  D) 120  E) 216

Solution: Arrangment means permutations questions..   3P2 = 3!/2! = 6.   IMO option 6 is correct answer..
Answer: A
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?  Choose the correct choice:
A) 1
B) 8
C) 9
D) 7
E) 5

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer: 8
Answer: B
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 126 grams of water?	Choose the correct choice from the following:	A) 16	B) 72	C) 112	D) 128	E) 142

Solution: Solution:   We are given that the ratio of hydrogen to oxygen in water, by mass, is 2 : 16. Using our ratio multiplier we can re-write this as 2x : 16x. We can now use these expressions to determine how much oxygen is in 126 grams of water.   2x + 16x = 126   18x = 126   x = 7   Since x is 7, we know that there are 16 x 7 = 112 grams of oxygen in 126 grams of water.   Answer 112.
Answer: C
If P and Q are positive integers related by the equation P = 10Q - 5, what is the remainder when P is divided by 5?	Select
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: This question asks what IS...(the answer), so we know that the answer will be definite. As such, we can TEST VALUES to quickly get the solution.   We're told that P and Q are POSITIVE INTEGERS and P = 10Q - 5. We're asked for the REMAINDER when P is divided by 5.   IF....   Q = 1   P = 5   5/5= 
5/5 = 1
1 remainder 0   Final 0nswer:   0
Answer: A
If the selling price of 60 articles is equal to the cost price of 30 articles, then the loss or gain percent is:
Choose one:
A) 55%
B) 35%
C) 66%
D) 45%
E) 50%

Solution: Let C.P. of each article be Re. 1.   Then, C.P. of 60 articles = Rs. 60;   S.P. of 60 articles = Rs. 30.   Loss % = 30/60 * 100= 
30/60 * 100 = 50
50%   ANSW50%R:50%
Answer: E
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively ?  Pick:
A) 3 : 4
B) 3 : 5
C) 15 : 23
D) None of these
E) Data inadequate

Solution: Explanation:   P : Q = 85000 : 15000 = 85 : 15 = 17 : 3.   ANSWER IS None of these
Answer: D
A, B and C can do a work in 9, 30 and 45 days respectively. If they work together, in how many days will they complete the work?  Pick one:
A) 5	B) 6	C) 7	D) 8	E) 11

Solution: One days's work of A, B and C = 1/9 + 1/30 + 1/45   = (10 + 3 + 2)/90 = 1/6   A, B and C together can do the work in 6 days.   Answer:6
Answer: B
The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is? Choose the correct choice from the following answers:  A) Rs. 3096  B) Rs. 4076  C) Rs. 4085  D) Rs. 4096  E) Rs. 5096

Solution: Principal = [4913 / (1 + 25/(4 * 100))3]   = 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.   ANSWER:Rs. 4096
Answer: D
Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs. 16. what is original price of an orange? Choose the correct choice
A) 1.39 B) 1.33 C) 1.31 D) 1.32 E) 1.38

Solution: Explanation:   Recall it is based on inverse proportion or product constancy concept.   Reducion in price increase in amount   25% \inline \left ( \frac{1}{4} \right )   \inline \left ( \frac{1}{3} \right ) 33.33% = 4 oranges   It means original number of oranges = 4 x 3 = 12   \therefore original price of oranges = \inline \frac{16}{12} = Rs. 1.33   Answer: 1.33) Rs 1.33
Answer: B
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream? Choose the correct answer:
A) 15 kmph B) 17 kmph C) 14 kmph D) 18 kmph E) 19 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 42/3= 
42/3 = 14
14 kmph.   Answer: 14 kmph
Answer: C
The cost price of 7 articles is equal to the selling price of 5 articles. What is the profit percent?	Choices:  A) 10%  B) 20%  C) 30%  D) 40%  E) 50%

Solution: 5*SP = 7*CP   SP = 1.4*CP   The profit percent is 40%.   The answer is 40%.
Answer: D
If paint costs $3.20 per quart, and a quart covers 60 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?  Choose the most appropriate option:  A) $ 1.60  B) $ 32.00  C) $ 96.00  D) $108.00  E) $196.00

Solution: total surface area = 6a^2 = 6*10*10= 
6*10*10 = 600
600   each quart covers 20 sqr ft   thus total number of quarts= 600/60= 
600/60 = 10
10   cost will be  10*3.2= 
 10*3.2 = 32
$32   Ans: $ 32.00
Answer: B
Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 55 marks. How many sums did Sandy get correct?  Choose the correct choice from the following answers.
A) 19
B) 21
C) 23
D) 25
E) 27

Solution: Let x be the correct sums and (30-x) be the incorrect sums.   3x - 2(30-x) = 55   5x = 115   x = 23   The answer is 23.
Answer: C
A certain telescope increases the visual range at a particular location from 90 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ? Choose the most appropriate option: A) 30% B) 33 1/2% C) 40% D) 60% E) 66 2/3%

Solution: Original visual range = 90 km   New visual range = 150 km   Percent increase in the visual range by using the telescope   = (150-90)/90 * 100%   = 2/3 * 100%   = 66.67 %   Answer 66 2/3%
Answer: E
If P : Q = 3 : 4 and Q : R = 5 : 6, then P : Q : R is:
Select the correct option.
A) 3 : 4 : 6  B) 3 : 5 : 6  C) 15 : 20 : 24  D) 5 : 6 : 3  E) None

Solution: P:Q=3:4, Q:R=5:6, P:Q:R=3×5:5×4:6×4   ⇒ 15:20:24   Answer: 15 : 20 : 24.
Answer: C
At the end of the first quarter, the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 75 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?  Answers
A) 20%	B) 25%	C) 30%	D) 34.6%	E) 40%

Solution: Another method is to use the formula for 2 successive percentage changes:   Total = a + b + ab/100   75 = 30 + b + 30b/100   b = 34.6   Answer (34.6%)
Answer: D
A train 1200 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Pick one:
A) 288 m B) 256 m C) 100 m D) 278 m E) 287 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (1200 + x)/60   = 65/3   x = 500 m.   Answer:100 m
Answer: C
A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 45 paise per sq m is	Pick.
A) Rs. 234.80	B) Rs. 334.80	C) Rs. 434.80	D) Rs. 534.80	E) None of these

Solution: Explanation:   Area to be plastered = [2(l + b) Ã— h] + (l Ã— b)   = [2(25 + 12) Ã— 6] + (25 Ã— 12) = 744 sq m   Cost of plastering = 744 Ã— (45/100) = Rs.334.80 Answer: Rs. 334.80
Answer: B
The total of company C's assets in 1994 was 400% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:	Choose one: A) 7N B) 8N C) 9N D) 12N E) 25N

Solution: Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.   In 1993, the total assets were 400% GREATER, which means 1992 PLUS 400% of 1992:   $100 + 4x$100 = $100 + $400 = $500   In 1994, the total assets were 400% GREATER than they were in 1993, which means 1993 PLUS 400% of 1993:   $500 + 4x$500 100 +  400= 
100 +  400 = 500
$500   In 1994, the total assets were 400% GREATER than they were in 1993, which means 1993 PLUS 400% of 1993:   $500 + 4x$500= $500 + $2000 = $2500   This is 25 times the 1992 number, so the correct answer is 25N.   25N500 +  2000= 
500 +  2000 = 2_500
$2500   This is 25 times the 1992 number, so the correct answer is 25N.   25N
Answer: E
30 square stone slabs of equal size were needed to cover a floor area of 120 sq.m. Find the length of each stone slab?	Pick:
A) 120cm B) 200cm C) 88cm D) 666cm E) 776cm

Solution: Area of each slab   =120/30m2=4m2   Length of each slab √4=2m=200cm   200cm
Answer: B
For what value of x between − 5 and 5, inclusive, is the value of x^2 − 10x + 16 the greatest? Choose the correct choice from the following options
A) − 5  B) − 2  C) 0  D) 2  E) 4

Solution: we can see from the statement that two terms containing x, x^2 will always be positive and -10x will be positive if x is -ive..   so the equation will have greatest value if x is -ive, and lower the value of x, greater is the equation.   so -5 will give the greatest value..   ans − 5
Answer: A
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (9, 0), (0, -3.5), (-9, 0)? Choose the correct choice from the following answers:
A) 56	B) 88	C) 112	D) 116	E) 63

Solution: Area of rhombus= 1/2* D1 *D2   Length of 1st diagonal = 9+9= 
9+9 = 18
18   Length of 2nd diagonal= 3.5+3.5= 
3.5+3.5 = 7
7   Area= 1/2*18*7= 
1/2*18*7 = 63
63   63 is the answer
Answer: E
1397 x 1397	Choose the most appropriate option:
A) 1951609
B) 1981709
C) 18362619
D) 2031719
E) None of these

Solution: 1397 x 1397	= (1397)2   = (1400 - 3)2   = (1400)2 + (3)2 - (2 x 1400 x 3)   = 1960000 + 9 - 8400   = 1960009 - 8400= 
1960009 - 8400 = 1_951_609
1951609.   1951609nswer: Option 1951609
Answer: A
How many 9's are there preceded by 5 but not followed by 1?
5 9 3 2 1 7 4 2 5 9 7 4 6 1 3 2 8 7 4 1 3 8 3 5 9 1 7 4 3 9 5 8 2 0 1 8 7 4 6 3	Choose the correct choice from the following choices:
A) 4
B) 2
C) 6
D) 8
E) 9

Solution: 5 9 3   5 9 7   Only at these places 2 is preceded by 5 but not followed by 1   Answer: 2
Answer: B
A man sells a horse for Rs.740 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?  Choose the most appropriate option:
A) 587
B) 679
C) 767
D) 820
E) 998

Solution: CP = SP + 1CP = SP - g   740 + x = 980 - 2x   3x = 240 => x   = 80   CP = 740 + 80= 
740 + 80 = 820
820   Answer:820
Answer: D
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/3, what is the probability that Taylor makes exactly one basket in three tries?
Choose the correct choice from the following choices
A) 1/9 B) 2/9 C) 2/5 D) 3/5 E) 3/7

Solution: Probability of basket = 2/3   Probability of no basket = 1/3   Required probability=3* 2/3*1/3*1/3   = 2/9   2/9 is the answer .
Answer: B
100 people are standing in a circle. The person standing at number 1 is having a sword. He kills the person next to him with the sword and then gives the sword to the third person. This process is carried out till there is just one person left.
Can you find out who survives?	Select.
A) 93
B) 73
C) 90
D) 75
E) 87

Solution: B   The person on 73rd number will survive.   Till the number is the power of 2, the last person to survive will be the one who started it. But since the number here is not the power of 2, we will take the greatest power of 2 that is less than the number which is 64.   100 - 64= 
100 - 64 = 36
36   36 people are killed as 2, 4, 6, ..., 72. Thus the sword will now be given to the 73rd person. Now he is the first person to start in the remaining 64 people. Thus he will be the one to survive.
Answer: B
Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 420 pastries ?	Choose the correct choice from the following choices
A) 2 hours.  B) 1 hours.  C) 5 hours.  D) 4 hours.  E) 7 hours.

Solution: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 420 pastries would take 420 ÷ 60 = 7 hours.   ANSW7 hours.R 7 hours.
Answer: E
Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of B and B gets 1/2 of C. How much C have? Select
A) 300
B) 400
C) 500
D) 600
E) 700

Solution: A gets 100 Rs.   B gets 200 Rs.   C gets 400 Rs.   A=400/2   400=c/2   A+400+C=700   (400/2)+400+(2400)=700   400=200   A=400/2= 
400/2 = 200
200/2= 
200/2 = 100
100   C=2400=2*200= 
2*200 = 400
400   ANSWER:400
Answer: B
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?	Pick one:
A) 69  B) 78  C) 96  D) Cannot be determined  E) None of these

Solution: Let the ten's digit be x and unit's digit by y   Then, x + y = 15 and x - y = 3 or y - x = 3   Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6   Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9   So, the number is either 96 or 69.   Hence, the number cannot be determined.   ANSWER:Cannot be determined
Answer: D
If selling price is doubled, the profit triples. Find the profit percent. Pick:  A) 100 %  B) 50 %  C) 25 %  D) 18 %  E) 12 %

Solution: Explanation:   Let C.P. be Rs. x and S.P. be Rs. y.   Then, 3(y - x) = (2y - x) y = 2x.   Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.   Profit % =(x/x*100)%=100%   100 %nswer:100 %
Answer: A
How much water must be added to 60 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choose the correct option:
A) 10 litres	B) 12 litres	C) 15 litres	D) 18 litres	E) None of these

Solution: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3   ∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4   ∴ Quantity of water to be added to 60 litres of milk   = (1⁄4 × 60) litres = 15 litres.   Answer 15 litres
Answer: C
What is the least value of k. So that 123k578 is divisible by 11.
Pick one:  A) 8  B) 7  C) 5  D) 6  E) 4

Solution: Explanation:   The Difference of the sum of the digits at odd place and the sum of the digits at even place of the number, is either 0 or a number divisible by 11.   (1 + 3 + 5 + 8) - (2 + k + 7) = 17 - 9 - k = 8 - k   Therefore if k = 8, then the value become zero.   k = 8 is the least value   so that 123k578 is divisible by 11.   8nswer: Option 8
Answer: A
What is the greatest positive integer x such that 6^x is a factor of 216^10?  Choose the correct answer:	A) 5	B) 9	C) 10	D) 20	E) 30

Solution: 216^10 = (6^3)^10 = 6^30   ANSW30R:30
Answer: E