MU-NLPC/Calc-aqua_rat huggingface dataset:
How many positive integers between 1 and 200 are there such that they are multiples of 17?  Select the correct option.
A) 9 B) 11 C) 13 D) 10 E) 8

Solution: Multiples of 17= 17,34,51,-----187   Number of multiples of 17 => 17*11= 
17*11 = 187
187   Answer is 11
Answer: B
A discount of 10 percent on an order of goods followed by a discount of 20 percent amounts to	Pick:
A) the same as one 45 percent discount
B) the same as one 38 percent discount
C) the same as one 36 percent discount
D) the same as one 30 percent discount
E) the same as one 28 percent discount

Solution: 0.9*0.8*x=0.72x from initial value, meaning 0.28 or 36% discount   the same as one 28 percent discount
Answer: E
Divide Rs. 3364 between A and B, so that A's Share at the end of 5 years may equal to B's share at the end of 7 years, compound interest being at 5 percent. Answers
A) Rs. 1764 and Rs.1600  B) Rs. 1756 and Rs.1608  C) Rs. 1722 and Rs.1642  D) Rs. 1732 and Rs.1842  E) None of these

Solution: Explanation: A's share after 5 years = B's share after 7 years   (A's present share)(1+5100)5 = (B's present share)(1+5100)7   =>(A's present share)/(B's present share) = (1+5/100)7/(1+5/100)5 = (1+5/100)(7−5) = (1+5/100)2 =(21/20)2 =441/400   i.e, A's present share : B's present share = 441 : 400   Since the total present amount is Rs.3364, A's share = 3364 × 441/(441 + 400)   = (3364 × 441)/841 = 4 × 441 = Rs. 1764   B's present share = 3364 - 1764 = Rs.1600   Rs. 1764 and Rs.1600nswer: Option Rs. 1764 and Rs.1600
Answer: A
A train passes a station platform in 37 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Choose the correct answer:  A) 328  B) 255  C) 240  D) 288  E) 231

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 37= 15   x + 300 = 555   x = 255 m. Answer:255
Answer: B
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many Q apples did each person get before 45 people joined the feast?  Choices: A) 20. B) 21. C) 22. D) 23. E) 24.

Solution: Before solving it algebraically, let us prime factorize 1430 = 2*5*11*13.   Since number of apples per person * total persons Q= 1430, the answer should be a factor of 1430. Only C is. And that's your answer.22.
Answer: C
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?  Choose the correct choice.
A) 180 sec  B) 190 sec  C) 170 sec  D) 175 sec  E) 195 sec

Solution: Explanation:   L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1900 m   T = D/S   T = 1900/10= 
1900/10 = 190
190 Sec   ANSWER IS 190 sec
Answer: B
A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 3 cubic inches/min and the 2 outlet pipes empty it out at the rates of 12 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)  Choose the correct choice from the following answers:	A) 2345	B) 3456	C) 4567	D) 5678	E) 6789

Solution: The tank is emptied at this rate: 12 + 6 - 3= 
12 + 6 - 3 = 15
15 cubic inches/min   The tank has a volume of  30*12*12*12= 
 30*12*12*12 = 51_840
51840 cubic inches.   The time it takes to empty the tank is 51840/15= 
51840/15 = 3_456
3456 minutes.   The answer is 3456.
Answer: B
In an exam, Libi scored 78 percent, Nibi scored 75 percent and Catherine 85 percent. The maximum score awarded in the exam is 1100. Find the average mark scored by all the three boys?  Choices:
A) 874.65  B) 873.66  C) 871.22  D) 872.67  E) 870.2

Solution: Average mark scored by all the three boys =   [78/100 (1100) + 75/100 (1100) + 85/100 (1100)] / 3   (858+825+935)/3= 872.67   Answer: 872.67
Answer: D
The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $30 more, the corresponding ratio would have been 5:3. How much was the oil bill for January?	Select the correct option:
A) $120
B) $150
C) $180
D) $210
E) $240

Solution: 3:2 = 9:6 and 5:3 = 10:6.   An increase in $30 increases the ratio by 1:6.   Therefore, January's bill was 6($30) = $180.   The answer is $180.
Answer: C
A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of B square inches. Which of the following equations must be true?  Choose the correct option
A) 2W^2 + PW + 2B = 0 B) 2W^2 − PW + 2B = 0 C) 2W^2 − PW − 2B = 0 D) W^2 + PW + B = 0 E) W^2 − PW + 2B = 0

Solution: P = 2(L+W)-----------------1)   B= LW------------------------2)   option A is not possible why ?? because all the terms are positive.   lets try option B , put value of P and B from 1 and 2 we have,   2W^2-2(L+W)W + 2(LW)   2W^2 - 2LW - 2W^2 + 2LW=0.   hence answer is 2W^2 − PW + 2B = 0.
Answer: B
If the milk and water ware added in the ratio 5:4 then how much more water should be added so he gets the ratio of 6:7.  Choose the correct choice from the following options.
A) 5/6  B) 11/6  C) 7/6  D) 11/5  E) 5/11

Solution: let quantity of water should added be x then   A/Q   5/(4+x)= 6/7   => 35=24+6x   => x=11/6   ANSWER:11/6
Answer: B
If n = 5p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?	Choose the correct choice
A) Two  B) Three  C) Four  D) Six  E) Eight

Solution: This is an interesting question because we are immediately given the option to insert any prime number we wish for p. Since this is a problem-solving question, and there can only be one correct answer, we can select any value for p, as long as it is a prime number greater than 2. We always want to work with small numbers, so we should select 3 for p. Thus, we have:   n = 4 x 3   n = 12   Next we have to determine all the factors, or divisors, of P. Remember the term factor is synonymous with the term divisor.   1, 12, 6, 2, 4, 3   From this we see that we have 4 even divisors: 12, 6, 2, and 4.   If you are concerned that trying just one value of p might not substantiate the answer, try another value for p. Let’s say p = 5, so   n = 4 x 5   n = 20   The divisors of 20 are: 1, 20, 2, 10, 4, 5. Of these, 4 are even: 20, 2, 10 and 4. As we can see, again we have 4 even divisors.   No matter what the value of p, as long as it is a prime number greater than 2, n will always have 4 even divisors.   The answer is Six.
Answer: D
A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.	Choose one:  A) 14  B) 13  C) 12  D) 11  E) 10

Solution: Distance covered in one revolution = (88X1000)/1000= 88m.   2 PIE R = 88 = 2X22/7XR =88 R=88X7/44 =14 14NSWER = 14
Answer: A
What is the dividend? The divisor is 17, the quotient is 4 and the remainder is 8.  Choose the correct choice from the following options.
A) 76 B) 67 C) 176 D) 671 E) 0

Solution: Divided= Divisor * Quotient + Remainder   ?= 17 * 4 + 8   68 + 8   76   (e.g. 76nswer: 76)
Answer: A
Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time
will they take to be 8.5km apart, if they walk in the same direction? Options.
A) 15 hours	B) 16 hours	C) 17 hours	D) 18 hours	E) None of these

Solution: Explanation:   In this type of questions we need to get the relative speed between them,   The relative speed of the boys = 5.5kmph � 5kmph   = 0.5 kmph   Distance between them is 8.5 km   Time = Distance/Speed   Time= 8.5km / 0.5 kmph = 17 hrs   Answer: 17 hours
Answer: C
A, B, C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs.35000 A receives:
Options:
A) Rs. 11900 B) Rs. 8400 C) Rs. 14700 D) Rs. 13600 E) Rs. 14600

Solution: Let C = x. Then B = x + 5000 and A + x + 5000 + 4000 = x + 9000   Therefore, x + x + 5000 + x + 9000 = 50000 Û x = 12000.   Therefore, A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12   Therefore, A’s share = Rs (35000 * 21/50) = Rs. 14700   ANSWER:Rs. 14700
Answer: C
An aeroplane covers a certain distance of 670 Kmph in 6 hours. to cover the same distance in 6 1/4 hours, it Must travel at a speed of Choose the correct choice from the following answers.
A) 440	B) 540	C) 643	D) 740	E) 250

Solution: Speed of aeroplane = 670 Kmph   Distance travelled in 6 hours   = 670 * 6= 
670 * 6 = 4_020
4020 Km   Speed of aeroplane to acver 4020 Km in 25/4= 4020*4/25 = 643 Km   Answer 643.
Answer: C
Sum of Rs.4000 is given out in 2 pieces, one at 8% S.I. and the other at 10% S.I. If the annual interest is Rs 352, the sum is given at 8% is  Choose the correct choice from the following choices:
A) 2000
B) 2200
C) 2300
D) 2400
E) None of these

Solution: Explanation :   i) Given the total sum = Rs. 4000   If the sum given at 8% be Rs.a   ie) P = a , n=1, R = 8%   (aX18/100) = (8a/100)   If the addition given at 10% be Rs. 4000 – a   P = 4000-a , n=1, R = 10%   (4000 – aX1X10)/(100) = (40000-10a)/100   Given Annual interest is Rs. 352   (8a/100) + (40000-10a)/100 = 352   8a – 10a = 35200 – 40000   -2a = -4800   X = (4800/2)= Rs.2400/-   Answer : 2400
Answer: D
By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
Choose the correct choice from the following answers:
A) 33 1/3%
B) 33 1/6%
C) 33 3/3%
D) 34 1/3%
E) 73 1/3%

Solution: Let the CP of each pen be Rs. 1.   CP of 99 pens = Rs. 99   Profit = Cost of 33 pens = Rs. 33   Profit% = 33/99 * 100 = 33 1/3%   33 1/3%nswer:33 1/3%
Answer: A
What no. should be subtracted from x^3+4x2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3? Pick one:  A) 38  B) 42  C) 46  D) 49  E) 62

Solution: According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f(−a).   In this case, as x+3x+3 divides x3+4x2−7x+12–kx3+4x2−7x+12–k perfectly (kk being the number to be subtracted), the remainder is 0 when the value of xx is substituted by -3.   i.e., (−3)3+4(−3)2−7(−3)+12−k=0(−3)3+4(−3)2−7(−3)+12−k=0   or −27+36+21+12=k−27+36+21+12=k   or k=k= 42   42
Answer: B
A group of 10 representatives is to be selected out of 17 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?  Choose the correct answer: A) 17C₅ * 10 B) 17C₇ * 10 C) 17C12 * ¹⁰C₅ D) 12 * ¹⁰C₅ E) None of these

Solution: Here, five seniors out of 17 seniors can be selected in 17C₅ ways. Also, five juniors out of ten juniors can be selected ¹⁰C₅ ways. Hence the total number of different ways of selection = 1717C12 * ¹⁰C₅₅ * ¹⁰17C12 * ¹⁰C₅₅ = 1717C12 * ¹⁰C₅12 * ¹⁰17C12 * ¹⁰C₅₅   since 1717C12 * ¹⁰C₅₅ = 1717C12 * ¹⁰C₅12   ANSWER:17C12 * ¹⁰C₅
Answer: C
The mean of 80 observations was calculated as 55. It was found later on that one of the observations was misread as 64 instead of 46. The correct mean is Choose the correct choice from the following answers:
A) 39
B) 54.7
C) 60.3
D) 42.7
E) None of these

Solution: Explanation :   Correct sum = (55*80 + 46 - 64)= 
(55*80 + 46 - 64) = 4_382
4382.   Correct mean= 4382/80 = 54.7   Answer : 54.7
Answer: B
On Monday, Lou drives his vehicle with 25-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per second?
Choose the correct choice
A) Decrease by 14.3%	B) Decrease by 22%	C) Increase by 14.3%	D) Increase by 12.5%	E) Cannot be determined with the given information.

Solution: 800 the LCM   On Tuesday  800/32= 
 800/32 = 25
25   On Monday  800/25= 
 800/25 = 32
32   Therefore, 25-32/32= -2/9=-22% decrease   Answer is Decrease by 22%
Answer: B
If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600. Answers.
A) 12
B) 15
C) 18
D) 16
E) 20

Solution: Wages of 1 woman for 1 day = 2160040×30   Wages of 1 man for 1 day = 21600×240×30   Wages of 1 man for 25 days = 21600×2×2540×30   Number of men = 14400(21600×2×2540×30)=144(216×5040×30)=1449=16   Answer is 16.
Answer: D
A single discount equivalent to successive discount of 20%, 10% is	Choose the correct choice
A) 72%	B) 28%	C) 32%	D) 76%	E) 78%

Solution: Explanation:   (80 * 90)/100 = Rs. 72/-   Discount = 28 %   Answer: Option 28%
Answer: B
What number continues the following sequence?
759, 675, 335, 165, ?  Answers
A) 23  B) 43  C) 57  D) 76  E) 80

Solution: E   80.   Each number is formed by multiplying the number formed by the first two digits of the previous number by its third digit. So, 16x5 = 80
Answer: E
There are thirty-four lines that are tangent to a circle, and these lines create regions in the plane. Can you tell how many of these regions are not enclosed ?  Pick one:
A) 50
B) 74
C) 37
D) 77
E) 68

Solution: E   68   68 regions. 68ach new tangent increases the non-enclosed areas by two
Answer: E
The average age 110 employees in a office is 40 years. Out of these, the average age of 65 employees is 45 years and that of the other 45 employees is 32 years. The age of the 110h employee is?
Answers: A) 34 B) 35 C) 45 D) 32 E) 40

Solution: Age of the 110th employee= 110*40- (65*45+45*32) = 4400-4365= 
4400-4365 = 35
35 years   Answer is 35
Answer: B
Find the odd man out. 945, 725, 642, 481, 514, 835
Choose the correct option.
A) 945	B) 725	C) 642	D) 481	E) None of these

Solution: Explanation :   In all numbers except 481, the difference of third and first digit is the middle digit. Answer : Option 481
Answer: D
Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of Krisp to Brano.  Pick one
A) 1/2 B) 1/3 C) 1/4 D) 1/5 E) 1/6

Solution: w1 is the weight krisp, w2 is the weight of Brano   using weighted average formula w1/w2 = (c2 - avg) / (Avg-c1)   w1/w2 = 4-2 / 10-6 = 2/3   So Krisp and brano should be mixed in the ratio of 1/3.   ANSWER:1/3
Answer: B
D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 200. Set D and Set E have how many numbers in common? Pick
A) 10
B) 1
C) 3
D) 5
E) 0

Solution: D is a set of multiples of 3.   200 is NOT a multiple of 3, hence none of its factors is a multiple of 3.   Therefore, those two sets won't have any overlap.   Answer: 0.
Answer: E
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?  Choose the most appropriate option:
A) 62%	B) 57%	C) 52%	D) 22%	E) 42%

Solution: Total = 100   T= 40 NT= 60   40*(60/100)= 
40*(60/100) = 24
24 60*(40/100)=24   24 + 24= 
24 + 24 = 48
48=> 100 - 48= 
100 - 48 = 52
52%   Answer:52%
Answer: C
What is the greatest prime factor of 8^11 - 2^30?	Answers:
A) 2  B) 3  C) 5  D) 7  E) 11

Solution: 8^11 - 2^30   =(2^3)^11 - 2^30   = 2^33 - 2^30   = 2^30 (2^3 -1)   = 2^30 * (8-1)   = 2^30 * 7   The greatest prime factor is 7.   The answer is 7.
Answer: D
The average of first 10 odd numbers is?
Choose the correct choice from the following choices:  A) 22  B) 10  C) 98  D) 66  E) 88

Solution: Sum of 10 odd no. = 100   Average = 100/10= 
100/10 = 10
10   Answer:10
Answer: B
Sarah had 13 pieces of candy. She ate several pieces of the candy and noticed that the number of remaining pieces was a prime number. Which of the choices is a possibility for the number of pieces left?	Choose one:  A) 12 pieces  B) 10 pieces  C) 9 pieces  D) 8 pieces  E) 7 pieces

Solution: Answer 7 pieces, 7, is a prime number.
Answer: E
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.  Select the correct option:
A) 208 km	B) 637 km	C) 342 km	D) 300 km	E) 543 km

Solution: Let the distance travelled be x km.   Total time = (x/2)/30 + (x/2)/25 = 11   => x/60 + x/50 = 11 => (5x + 6x)/300   = 11 => x = 300 km   Answer:300 km
Answer: D
Numbers like 12345, 13542 and 21435 are some of the 120 different arrangements that can be made from the digits 1, 2 , 3, 4 and 5. If all 120 arrangements are placed in ascending manner, what will be the 87th number?
Choose one:
A) 43255	B) 53215	C) 45215	D) 43215	E) 63215

Solution: 1 _ _ _ _ =24   2 _ _ _ _ =24   3 _ _ _ _ =24   4 1 _ _ _ =6   4 2 _ _ _ =6   4 3 1 2 5 =85th   So, 87th = 43215   ANSWER:43215
Answer: D
If 3/p=4 & 3/q=18 then p-q=? Pick
A) 5/24	B) 7/12	C) 7/24	D) 8/24	E) 9/24

Solution: p=3/4 , q=3/18=>q=1/6   therefore   p-q=(3/4)-(1/6)=7/12   ANSWER:7/12
Answer: B
An IT company wants to hire 500 candidate, and each candidate is either engineer, manager, or peon . If it wants to hire 300 more engineers than managers, and twice as many peons as managers. how many engineers does The company want to hire ? Choose the correct choice from the following.
A) 310  B) 320  C) 330  D) 340  E) 350

Solution: x = the number of engineers   y = the number of managers   z = the number of peons   From the first sentence we have   Equation #1: x + y + z = 500   ...It wants to hire 300 more engineers than managers...   Equation #2: x = 300 + y   ...twice as many peons as managers...   Equation #3: z = 2y   by reshuffling of equation #2 : x - y = 300   Now, we can replace z with y in Equation #1   equation #4 : x + y + 2y= 500   x+3y = 500   by adding equation #4 and equation #5 we get   y = 50   There are 50 managers.This is 300 less than the number of engineers, so x = 350. That's the answer. Just as a check, z = 100, and   350 + 50 + 100= 
  350 + 50 + 100 = 500
500.   Answer= 350,(350)
Answer: E
A boy buys 18 sharpners, (Brown/white) for Rs.100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener and how much did he buy?	Choose the correct answer.
A) 3.9 B) 3,6 C) 2,3 D) 22,2 E) 12,1

Solution: C   Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1   So w(x+1) + bx = 100   w + b = 18   b = 18 - w   Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100   Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833   Option 2, If white sharpeners are 10, x = (100 - 10)/18= 
(100 - 10)/18 = 5
5 So white sharpeners cost is 6.   Option 3 Satisfies this condition.   Answer:3,6
Answer: B
In a certificate by mistake a candidate gave his height as 10% more than actual height. In the interview panel, he clarified that his height was 5 feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?  Choices:
A) 6.5
B) 7
C) 8
D) 9
E) 5

Solution: His height was = 5 feet 5 inch = 5 + 60= 
5 + 60 = 65
65 inch. Required % correction=65*(1.10-1)= 
65*(1.10-1) = 6.5
6.5   6.5
Answer: A
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?  Answers:
A) 5991 B) 4991 C) 6001 D) 7001 E) 7999

Solution: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.   Required sale = Rs. [ (6500 x 6) - 34009 ]   = Rs. (39000 - 34009)   = Rs. 4991.   ANSWER 4991
Answer: B
The average of 50 numbers id 50. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is : Select the correct option: A) 22 B) 33 C) 22 D) 41 E) 50

Solution: 50xplanation:   Total of 50 numbers = (50×50)=2500   Total of 48 numbers =(2500-(45+55)]=2400   Required average = 2400/48= 
2400/48 = 50
50   Answer:50
Answer: E
What number is logically missing from the sequence below?
348269, 284315, ****, 8438, 4811  Pick.
A) 32456	B) 84382	C) 48114	D) 28437	E) 34826

Solution: 34826   34826   34826ach number is the sum of the last two digits of the previous number, preceded by the remaining numbers in reverse.
Answer: E
If l is an integer, what is the greatest possible value for l that would still make the following statement true: 11*10^l < 1/10 ?
Pick one.
A) –4
B) –3
C) –2
D) –1
E) 0

Solution: Just putting values, the LHS becomes   l=0 --> 11   l=-1 --> 11/10   l=-2 --> 11/100   l=-3 --> 11/1000   Anything lower will be smaller than 11/1000. l=-2, equality does not hold but it does for n=-l.   Answer is –3.
Answer: B
The average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs. Find the average weight of all the boys in the class.	Choose the correct answer
A) 47.55 kgs
B) 48 kgs
C) 48.55 kgs
D) 49.25 kgs
E) None of these

Solution: Solution   Required average =(50.25x16+45.15x8/16+8) =(804+361.20/24) =1165.20/24= 
1165.20/24 = 48.55
48.55 Answer 48.55 kgs
Answer: C
At a certain college there are three as many English majors as history majors and two times as many English majors as mathematics majors. What is the ratio of the number of mathematics majors to the number of history majors?
Choose the correct choice from the following answers:
A) 6 to 1
B) 3 to 5
C) 2 to 3
D) 3 to 2
E) 1 to 6

Solution: This is how I translated the question:   At a certain college there are twice as many english majors as history majors   E = 3H   and three times as many english majors as mathematics majors.   E = 2M   What is the ratio of the number of history majors to the number of mathematics majors?   What is H:M?   Just set E equal to each other to get the ratio in terms of H and M.   2H = 3M   M/H = 3/2   The answer is 3:2   Answer : 3 to 2
Answer: D
The simple interest on a sum of money will be Rs.1400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Pick one
A) 2800
B) 3799
C) 1200
D) 2693
E) 1732

Solution: P --- 10 ---- 1400   P --- 5 ----- 700   3P --- 5 ----- 2100   ------   => 2800   2800nswer: 2800
Answer: A
Find the average of all the numbers between 11 and 34 which are divisible by 5? Pick.
A) 10 B) 20 C) 22 D) 30 E) 15

Solution: Average = (15+20+25+30) 4 = 90/4 = 22   Answer is 22
Answer: C
A can finish a work in 72days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?	Answers:
A) 30days  B) 12days  C) 6days  D) 7days  E) 8days

Solution: B+C 1day work = 1/9 + 1/12 +  1= 
+  1 = 1
1/9 + 1/12= 7/36   work done by B and C in 3days = 7/36 * 3 = 7/12   Remaining work = 1 - 7/12 = 5/12   1/24 work is done by 30days in 1day   5/12 work is done by 30days in   72*5/12= 
  72*5/12 = 30
30days   30daysnswer is 30days
Answer: A
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle? Choose the most appropriate option:
A) 432
B) 876
C) 297
D) 200
E) 267

Solution: 2(3x + x) = 96   l = 36 b = 12   lb = 36 * 12= 
36 * 12 = 432
432   432nswer:432
Answer: A
Two trains each 190m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 65km/h while the other travels at 50km/h. how long will it take for them to pass each other completely. Choose the correct choice from the following options:
A) 10.7 sec B) 2.7 sec C) 11.9 sec D) 12.7 sec E) 25.7 sec

Solution: Explanation:   D = 190 m + 190 m = 380 m   RS = 65 + 50= 
65 + 50 = 115
115 * 5/18= 319/10   T = 380 * 10/319 = 11.9 sec   Answer: Option 11.9 sec
Answer: C
There are 5 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?  Choose the correct choice from the following answers
A) 240
B) 250
C) 260
D) 280
E) None of these

Solution: 4 subjects can be arranged in 5 periods in 5P4 ways.   Remaining 1 period can be arranged in 4P1 ways.   Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.   Total number of arrangements = (5P4 x 4P1)/2! = 240   240NSWER:240
Answer: A