MU-NLPC/Calc-aqua_rat huggingface dataset:
Among 300 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology? Answers:
A) 30
B) 90
C) 120
D) 172
E) 188

Solution: I would just like to add a bit of explanation after the step where you calculate that the number of students studying both M and S = 90   Using your analysis:   We see that the total number of students who study either Maths or Sociology = 132 + 168 - 90= 
132 + 168 - 90 = 210
210   So, in the image we know that the number of students in the zone with the black boundary= 210   Let's assume the number of students who studyonlybiology to beb(this is the number that we have to maximize)   And, let's assume the number of students who study none of the three subjects, that is the number of students in the white space =w   Since the total number of students = 300, we can write:   210 +b+w= 300   Or,b+w= 300 - 210= 
300 - 210 = 90
90   That is,b= 90 -w   So, the maximum value ofbwill happen forw= 0   This is how we get, the maximum value ofb= 90   90
Answer: B
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choose the correct choice from the following choices: A) 25 B) 15 C) 18 D) 47 E) 26

Solution: Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +350)/ 36 * 5/18   = 47 min.   Answer:47
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.59000?  Choose the most appropriate option:  A) 81000  B) 81007  C) 74671.875  D) 81066  E) 81022

Solution: 59000* 9/8 * 9/8= 
59000* 9/8 * 9/8 = 597_375/8 = around 74_671.875
74671.875   Answer:74671.875
Answer: C
A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations P are possible?
Choose the correct choice from the following
A) 3 B) 4 C) 5 D) 6 E) P=8

Solution: The combinations could be P{(1,240),(2,120),(3,80),(4,60),(5,48),(6,40),(8,30),(10,24),(12,20),)15,16),(16,15),(20,12),(24,10),(30,8),(40,6) ,(48,5),(60,4),(80,3),(120,2),(240,1)}   Of these we are told 8<=t<=30 So we can remove these pairs, and we are left only with.   {(8,30,(10,24),(12,20),(15,16),(16,15),(20,12),(24,10),(30,8)}   Hence 8.P=8
Answer: E
If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?	Choose the correct choice from the following choices
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Speed Ratio = 1:3/4 = 4:3   Time Ratio = 3:4   1 -------- 1/3   3 --------- ? è 1 hour   1nswer:1
Answer: A
If the cost of k metres of cable wire is c rupees, then what is the cost of m metres of cable wire at the same rate?  Choose one
A) Rs. (mc)  B) Rs. (mc/k)  C) Rs. (kc)  D) Rs. (km/c)  E) None of these

Solution: Explanation :   Cost of k metres = Rs. c   Cost of 1 metre=Rs.(c/k)   Cost of m metres=Rs.[(c/k).m]=Rs.(mc/k)   Answer : Rs. (mc/k)
Answer: B
Ravi covers a distance of 900mtrs in 180 secs. Find his speed in kmph?
Pick one
A) 10 kmph B) 18 kmph C) 20 kmph D) 26 kmph E) 28 kmph

Solution: Given distance D= 900 meters and Time= 180 seconds   Speed = Distance/Time   = 900/180= 
900/180 = 5
5 m/s.   But speed is asked in kmph , to convert 5 mps to kmph , multiply it by   18/ 5   .   Speed in kmph= 5 x 18/5   = 18 kmph   18 kmph
Answer: B
Light glows for every 13 seconds . How many times did it between 1:57:58 and 3:20:47 am Choose one: A) 381 B) 382 C) 383 D) 384 E) 385

Solution: the diff in sec between 1:57:58 and 3:20:47 is 4969 sec, 4969/13 = 382.   so total 383 times light ll glow   ANSWER:383
Answer: C
If you add all the numbers on your mobile phone , what is the answer? Choose the correct choice from the following answers:
A) 45
B) 50
C) 55
D) 100
E) 60

Solution: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are in your mobile phone.   Therefore  0+1+2+3+4+5+6+7+8+9= 
 0+1+2+3+4+5+6+7+8+9 = 45
45   45nswer is 45
Answer: A
If the average cost of a house was $50,000 in 1955 and was x in 2005, what was the average increase in home prices per year over this period?  Choose the correct choice from the following choices:
A) A)(x+50,000)/40
B) D)(50,000-x)/40
C) C)(50,000/40)+x
D) B)(x-50,000)/50
E) E)x/40

Solution: Average house price in 2005: x   Average house price in 1965: 50,000   2005-1955= 
2005-1955 = 50
50   Average increase per year: (x-50,000)/50   Answer is B)(50,000-x)/40
Answer: D
If it is 5:14 in the evening on a certain day, what time in the morning was it exactly 2,880,702 minutes earlier? (Assume standard time in one location.)
Choose the correct choice from the following
A) 5:32  B) 5:36  C) 5:48  D) 5:54  E) 5:58

Solution: 5:14 minus 2,880,702 must end with 2, the only answer choice which ends with 2 is A.   5:32nswer: 5:32.
Answer: A
What is the greatest of 3 consecutive integers whose sum is 30?
Choose the correct answer
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: 30 / 3= 
30 / 3 = 10
10   The three numbers are 9, 10, and 11.   The answer is 11.
Answer: D
What is the perimeter of a regular polygon with sides of length 12 cm and internal angles measuring 120° each?
Choose one:
A) 72 cm
B) 108 cm
C) 120 cm
D) 132 cm
E) 144 cm

Solution: Sum of all interior angles is given by:   180(n-2) = n is number of sides   180(n-2) = 120*n   from here   n =6   So perimeter becomes 12*6= 
12*6 = 72
72   answer 72 cm
Answer: A
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected? Choose the correct option:
A) 656 ways
B) 500 ways
C) 716 ways
D) 765 ways
E) 142 ways

Solution: We can select one boy from 20 boys in 20 ways.   We select one girl from 25 girls in 25 ways   We select a boy and girl in 20 * 25 ways i.e., = 500 ways.   Answer: 500 ways
Answer: B
How many positive integers less than 256 are multiple of 4 but NOT multiples of 6?	Choose one:
A) 20	B) 31	C) 42	D) 53	E) 44

Solution: 248/4=64   Multiples of 4 which are a multiple of 6 will be of the form 2*2*3= 
2*2*3 = 12
12n where n>0   240/12= 
240/12 = 20
20   64-20= 
64-20 = 44
44   Answer: 44
Answer: E
Kumar started from Chennai at x hrs y minutes and travelled to Vellore. He reached Vellore at y hrs z minutes. If the total travel time was z hrs and x minutes, his starting time in Chennai could have been ______ (Assume clock format to be 0 to 24 hrs). Select:
A) 02:08 hrs
B) 13:03 hrs
C) 00:02 hrs
D) 12:01 hrs
E) None of these

Solution: DETAILED SOLUTION   x, y or z cannot be greater than 24   Also x + y + z cannot be greater than 24   Given x hrs + z hrs = y hrs   Also y min + x min = z min   The only value of x that will satisfy the above 2 equations is 0.   Hence, from among the choices given, the time could be 00:02 hrs   00:02 hrsORRE00:02 hrsT ANSWER 00:02 hrs.
Answer: C
How many words can be formed by using all letters of the word 'MACHINE' ?
Choices:
A) 1120  B) 1200  C) 1570  D) 5040  E) 6040

Solution: The word MACHINE contains 7 different letters   Required number of words = 7P7 = 7! = 7*6*5*4*3*2*1 = 120   Answer is 5040
Answer: D
Calculate how many seconds it eill take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 8, 11 and 15 seconds. ? Choose the correct choice.
A) 1310  B) 1320  C) 1322  D) 1323  E) 1312

Solution: LCM of 5, 8, 11 and 15 is   1320   LCM=1320   ANSWER:1320
Answer: B
A bag contains 6 green jacks and 24 white jacks. One jack is drawn at random. What is the probability that the jack is white? Choose the correct choice from the following answers:
A) 3/4
B) 4/5
C) 7/8
D) 1
E) None of these

Solution: Explanation:   Total cases = 6 + 24= 
6 + 24 = 30
30   Favourable cases= 24   So probability = 24/30 = 4/5   3/4nswer: 3/4
Answer: A
Evaluate : 86 x 863 - 86 x 237 Choose the most appropriate option.
A) 45823
B) 53836
C) 44824
D) 66524
E) None of them

Solution: 86 x 863 + 986 x 237 = 986 x (863 - 237) = 86 x 626 = 53836.   Answer is 53836
Answer: B
5 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?  Choose the correct choice from the following answers:
A) 11
B) 12
C) 15
D) 16
E) 28

Solution: There are 8 candidates and a voter has to vote for any two of them.   So, the required number of ways is,   = 8C2 = 28   28
Answer: E
Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate Q in miles per hour for the entire trip? Choose the correct option.
A) Q=26.7
B) Q=30.0
C) Q=40.0
D) Q=53.3
E) Q=60.0

Solution: VERITAS PREPOFFICIAL SOLUTION   Correct Answer: C   Using the formula: Time = Distance/Rate, we find that Mike takes 4 hours to cover the first 320 miles of his trip. Since the 2nd 320 miles take 200% longer than the first, it takes Mike 8 hours longer, or 12 hours. (Note: 200% longer than the first half is not 200% of the first half.) The overall time is 4 hours + 12 hours or 16 hours. Since the definition of Average Rate = Total Distance Traveled/Total Time of Travel, Mike's average rate = 640/16 or 40 miles per hour.   Answer choice Q=40.0 is correct.
Answer: C
A sum was put a simple interest at a certain rate for 3 years. Had it been put at 3% higher rate, it would have fetched Rs. 90 more. The sum is:	Choose the correct choice from the following options:
A) s.750 B) s.900 C) s.1000 D) s.1200 E) s.1500

Solution: Explanation :   Let the sub be Rs.x and the initial rate be R%.Then   x Ã— (R+3) Ã— 3/100âˆ’xÃ—RÃ—3/100=90   â‡’x Ã— 3Ã—3/100=90   â‡’x Ã— 3 /100=30   â‡’3x=3000   â‡’x=1000   Answer : Option s.1000
Answer: C
A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 128 in his diary to remember his PIN. He also wrote out the way to calculate 128 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 128".
Once, Prafull saw his diary in which Pinaki wrote this number 128. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?  Choose the correct choice from the following answers
A) 867	B) 869	C) 871	D) 873	E) None

Solution: Explanation :   Let, the PIN is x.   According to the question,   The card number =996 and Remainder =128.   Thus, (996 × x)/997=128.   =>x= 869.   Answer : 869
Answer: B
Pipe A can fill a tank in 5 hours, pipe B in 5 hours and pipe C in 10 hours. If all the pipes are open, in how many hours will the tank be filled?	Options
A) 5  B) 4  C) 3  D) 1  E) 2

Solution: Part filled by A + B + C in 1 hour = 1/5 + 1/5+ 1/10= 1/2   All the three pipes together will fill the tank in 2 hours.   Answer: 2
Answer: E
189. The inside dimensions of a rectangular wooden box
are 8 inches by 10 inches by 12 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Choose the most appropriate option:
A) 3	B) 4	C) 5	D) 6	E) 8

Solution: Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 12x10 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 10, so the radius will be 5.   5
Answer: C
A snail, climbing a 24 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall? Choose the correct choice from the following answers
A) 12	B) 16	C) 17	D) 20	E) 21

Solution: total transaction in two days = 4-2= 
4-2 = 2
2 feet   in 20 days it will climb 20 feet   on the 21st day , the snail will climb 4 feet , thus reaching the top   therefore , total no of days required=21   21
Answer: E
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?	Select the correct option:
A) 76	B) 29	C) 26	D) 19	E) 11

Solution: Explanation:   Average = total runs / no.of innings = 32   So, total = Average x no.of innings = 32 x 10 = 320.   Now increase in avg = 4runs. So, new avg = 32+4= 
32+4 = 36
36runs   Total runs= new avg x new no. of innings = 36 x 11 = 396   Runs made in the 11th inning = 396 - 320= 
396 - 320 = 76
76   76nswer: 76
Answer: A
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?  Answers:  A) 40x  B) 75x  C) 48x  D) 24x  E) x/75

Solution: The larger rim must circulate for the same number of inches the smaller rim does.   C = (pi)d   C(small): (pi)*28   C(large): (pi)*42   Lets say the time horizon is 60 seconds, so during that time the smaller rim covers a distance of (pi)*28*60 = (pi)*(1680) inches   (pi)*(1680) = (pi)*(42)(x)   pi*(40) = pi*(x)   40=x   Answer: A. 40x
Answer: A
The original price of a suit is $150. The price increased 20%, and after this increase, the store published a 20% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 20% off the increased price, how much did these consumers pay for the suit?
Choose the most appropriate option:
A) $130
B) $136
C) $144
D) $150
E) $160

Solution: 0.8*(1.2*150)= 
0.8*(1.2*150) = 144
$144   The answer is $144.
Answer: C
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/4, what are the odds of it burning out during the period from 6months to 1 year following its purchase?  Choose the correct choice:
A) 5/27
B) 2/9
C) 1/2
D) 4/9
E) 2/3

Solution: P(of not burning out in a six mnth period)=1/2 of P(of not burning out in prev 6 mnth period)   P(of burning out in 1st 6 mnth)= 1/4   --->P( of not burning out in 1st 6 mnth)=1-1/4=3/4   ---->P(of not burning out in a six mnth period)=1/2 *3/4=3/8--->P(of burning out in a six mnth period)=1-1/3=2/3   now   P( of burning out in 2nd six mnth period)=P( of not burning out in 1st six mnth)*P(of burning out in a six mnth)   =3/4 * 5/8=1/2   Ans 4/9
Answer: D
If three eighth of a number is 141. What will be the approximately value of 32.08% of this number? Select:
A) 70  B) 80  C) 100  D) 110  E) 120

Solution: 120xplanation:   x * 3/8 = 141 => x= 376   376 * 32.08/100 = 120   120)
Answer: E
After giving a discount of rs.50 the shopkeeper gets a profit of 20%,if the cost price is rs.500.find the marked price%?	Choose the correct choice from the following.
A) 450  B) 500  C) 650  D) 600  E) 650

Solution: cost price=500   s.p=500*120/100= 
500*120/100 = 600
600   disc=50   so...mark price=600+50=650......   ANSW650R:650
Answer: E
A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 20 hours. How much time he would have saved if the direction of tide has not changed? Pick
A) 2	B) 8	C) 1	D) 6	E) 16

Solution: Explanation:   He covered 5 km in 1 hour , so he might cover 20 km in 4 hours.   But he took 20 hours.   He would have saved 20 â€“ 4 = 16 hours.   Answer: 16
Answer: E
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?  Choose the correct choice from the following choices: A) 81:121 B) 81:128 C) 81:113 D) 81:112 E) 81:119

Solution: Ratio of the sides   = ³√729 : ³√1331   = 9 : 11   Ratio of surface areas   = 92 : 112   = 81:121   81:121nswer:81:121
Answer: A
A bag contains 1` red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue? Choose the correct choice from the following: A) 9/100 B) 2/19 C) 1/8 D) 3/20 E) 3/10

Solution: Method-1   10 red jellybeans and 10 blue jellybeans   Total Outcomes = No. of ways to choose 3 Jelly bean at random out of a total 20 jellybeans = 20C3 = 1140   Favourable Outcomes = No. of ways to choose 3 Jelly bean such that they are all Blue out of 10 Blue = 101/83 = 120   Probability = Favourable Outcomes / Total Outcomes = 101/83 / 201/83   Probability = 120 / 1140 = 1/8   Answer: option B   Method-2   Probability of First jelly bean to be Blue = 10/20 [Total 10 Blue out of total 20 jellybeans]   Probability of Second jelly bean to be Blue = 9/19 [Total 9 Blue remaining out of total 19 jellybeans remaining]   Probability of Third jelly bean to be Blue = 8/18 [Total 8 Blue remaining out of total 18 jellybeans remaining]   Required Probability = (10/20)*(9/19)*(8/18) = 2/19   Answer: option 1/8
Answer: C
If 60% of a number is greater than 30% of 10 by 27, what is the number? Choose the correct choice from the following answers:
A) 50 B) 100 C) 30 D) 75 E) 5

Solution: Explanation:   60/100 * x - 30/100 * 10 = 27   60/100 * x - 3 = 27   60/100 * x = 30   x = 30 * 100 / 60= 
30 * 100 / 60 = 50
50   50nswer: Option 50
Answer: A
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 79th number in this set?  Pick one:	A) 605	B) 608	C) 613	D) 616	E) 629

Solution: The set S = {5, 13, 21, 29, ..................... }   1st Number = 8 * 0 + 5= 
8 * 0 + 5 = 5
5   2nd Number= 8 * 1 + 5= 
8 * 1 + 5 = 13
13   3rd Number= 8 * 2 + 5= 
8 * 2 + 5 = 21
21   79th Number= 8 * (79-1) + 5= 
8 * (79-1) + 5 = 629
629   Answer= 629
Answer: E
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choose the most appropriate option:
A) 125/129	B) 125/129	C) 125/126	D) 125/120	E) 125/122

Solution: Required probability   = 1 - 1/126   = 125/126   Answer:125/126
Answer: C
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?	Choose the correct choice from the following answers:
A) 2888 B) 2790 C) 1210 D) 2756 E) 2991

Solution: π (232 – 122)   = 1210   Answer: 1210
Answer: C
four out of Eight employees are capable of doing a certain task. Sixty percent of the five employees, including the four who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?  Choose the correct answer:
A) 43.33% B) 33.33% C) 13.33% D) 38.33% E) none

Solution: Given 50% of 8 employees including 4 who are capable of doing task.   60% of 5 employeees   = 50/100 * 4   = 4 employees   ===> 4 employees who are capable of doing the task and no one employee who is not capable.   percentage of employees assigned who are not capable   ANSWnoneR:none
Answer: E
The largest four digit number which is a multiple of 8, 10,12 and 15 is:
Choose the correct choice from the following answers:
A) 9960
B) 9950
C) 9940
D) 9930
E) 9920

Solution: lcm=120   9999/120=83   83*120= 
83*120 = 9_960
9960   9960NSWER:9960
Answer: A
Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were FIVE times the amount she spent per month, what should be the fraction of her salary that she spent each month? Choose the correct option:
A) 1/4
B) 3/4
C) 12/17
D) 15/17
E) 1

Solution: Saving = S, Expenditure = E, Income = I   At the end of 12months; 12S=5E=5(I-S)   => 17S = 5I => Savings = 5/17 I   Hence Expenditure = 1-(5/17) = 12/17   Answer (12/17)
Answer: C
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Choose the correct choice from the following answers:  A) 1/2  B) 10/21  C) 9/11  D) 7/11  E) 5/21

Solution: Explanation :   Total number of balls = 2 + 3 + 2= 
2 + 3 + 2 = 7
7   Let S be the sample space.   n(S)= Total number of ways of drawing 2 balls out of 7 = 7C2   Let E = Event of drawing 2 balls , none of them is blue.   n(E) = Number of ways of drawing 2 balls , none of them is blue   = Number of ways of drawing 2 balls from the total 5 (=7-2) balls = 5C2   (âˆµ There are two blue balls in the total 7 balls. Total number of non-blue balls = 7 - 2= 
7 - 2 = 5
5)   P(E)= n(E)/n(S)=5C2/7C2=(5X4 /2X1) /(7X6 /2X1)=5X4/7X6 =10/21   ANSWER IS 10/21
Answer: B
If 1 > 1 - ab > 0, which of the following must be true?
I. a/b < 1
II. a/b > 0
III. ab < 1 Choose the correct choice:
A) I only
B) II only
C) III only
D) II and III only
E) I and III only

Solution: MANHATTAN GMATOFFICIAL SOLUTION:   You can manipulate the original compound inequality as follows, making sure to perform each manipulation on every term:   1 > 1 - ab > 0   0 > -a b > -1 Subtract 1 from all three terms.   0 < ab < 1 Multiply all three terms by -1 and flip the inequality signs.   Therefore you know that 0 < ab < 1. This tells you that ab is positive, so a/b must be positive (a and b have the same sign). Therefore, I must be true. However, you do not know whether a/b < 1, so II is not necessarily true. But you do know that ab must be less than 1, so III must be true.   Therefore, the correct answer is (II and III only).
Answer: D
Maya purchase 13 jars in a store then she returned 4 jars to store .Now how many jars she had?
Answers
A) 5  B) 11  C) 19  D) 9  E) 4

Solution: 13-4= 
13-4 = 9
9. Answer is 9
Answer: D
If KING is coded as 17 and MASS is coded as 29 Then DON is coded as
Select:	A) 12	B) 16	C) 18	D) None	E) cannot be determined

Solution: Explanation :   KING = 11+9+14+7= 
11+9+14+7 = 41
41 i.e (4*4)+(1*1)=17   MASS = 13+1+19+19= 
13+1+19+19 = 52
52 i.e (5*5)+(2*2)=29   DON = 4+14+15= 
4+14+15 = 33
33 i.e(3*3)+(3*3)=18   Hence (18) is correct   Answer : 18
Answer: C
The average of four consecutive odd numbers is 12. Which is the lowest odd number?
Choose the correct choice from the following:
A) 9
B) 3
C) 5
D) Cannot be determined
E) None of these

Solution: Let the four consecutive odd nos. be   2x – 3, 2x – 1, 2x + 1 and 2x + 3.   Now, 2x = 12 or, x = 6   Lowest odd no. = 2 × 6 – 3 = 9   9nswer 9
Answer: A
Find the area of a parallelogram with base 18 cm and height 10 cm?  Choose the correct choice.
A) 281
B) 284
C) 288
D) 255
E) 180

Solution: Area of a parallelogram = base * height   = 18 * 10= 
18 * 10 = 180
180 cm2   Answer: 180
Answer: E
John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 15%. Overall how much he make a profit. Choose the correct choice from the following answers
A) s. 90 B) s. 620 C) s. 600 D) s. 650 E) s. 690

Solution: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.   r = 15000(1 - 4/100) = 15000 - 600   m = 8000(1 + 15/100) = 8000 + 120   Total SP - Total CP = r + m - (15000 + 8000) = -600 + 1200 = Rs. 600   As this is positive, an overall profit of Rs. 600 was made.   s. 600
Answer: C
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum? Options:  A) Rs.7500  B) Rs.7529  C) Rs.7518  D) Rs.7509  E) Rs.7506

Solution: P = (d * 1002) / R2   => (48 * 100 * 100) / 8 * 8   = Rs.7500   Rs.7500nswer:Rs.7500
Answer: A