MU-NLPC/Calc-aqua_rat huggingface dataset:
suga invested an amount of Rs. 10,500 at the rate of 13% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested? Choose the correct choice from the following answers
A) 13650	B) 13150	C) 13450	D) 13900	E) 13750

Solution: Let the second amount be Rs. x. Then,   (10500 * 13 * 1)/100 + (x * 15 * 1)/100 = [(12000 + x) * 14 * 1] / 100   13650+ 15x= 16800 + 14x   x = 3150   Total investment = 10000 + 3150 = Rs. 13150 .Answer: 13150
Answer: B
A train 480 m long passed a pole in 12 sec. How long will it take to pass a platform 560 m long?
Choose the correct choice from the following options: A) 76 sec B) 29 sec C) 26 sec D) 15 sec E) 16 sec

Solution: Speed = 480/12= 
480/12 = 40
40 m/sec.   Required time= (480 + 560)/40= 
(480 + 560)/40 = 26
26 sec.   Answer:26 sec
Answer: C
In how many different ways can 3 boys and 2 girls sit on a bench such that the girls always sit together?	Pick one:
A) 44  B) 48  C) 52  D) 56  E) 60

Solution: We can think of the girls as one unit.   The number of ways to arrange 4 units in order is 4!   The girls can have different arrangements, so we multiply this by 2!   The number of ways to sit is 4!*2!=48   The answer is 48.
Answer: B
A merchant sells his two cars – one at 15% loss and another at 12% profit. If the cost prices of the two cars are in the ratio of 1:2, what is his percent profit or loss?
Choose the correct answer.
A) 3% profit  B) 2% loss  C) 2% profit  D) 3% loss  E) None of these

Solution: Explanation:   Given that CPs are in the ratio 1:2   Therefore let the CPs be Rs.100 & Rs.200 respectively,   1st SP = 100-15% of 100 = Rs.86.   2nd SP = 200 + 12% of 200 = Rs.224.   Total CP = Rs.300. Total SP = 85+224 = Rs.309.   Profit = Rs.309-300 = Rs.9.   Profit percent = 9x100/300 = 3% profit.   3% profitnswer: Option 3% profit
Answer: A
Find the odd man out. 5, 10, 40, 81, 320, 640, 2560  Choose the most appropriate option.
A) 40 B) 81 C) 320 D) 2560 E) 640

Solution: Explanation :   Alternatively 2 and 4 are multiplied with the previous terms   5   5 × 2 = 10   10 × 4 = 40   40 × 2 = 80   80 × 4 = 320   320 × 2 = 640   640 × 4 = 2560   Hence, 81 is wrong. 80 should have come in place of 81.   Answer : Option 81
Answer: B
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?  Options.
A) 767 m  B) 674 m  C) 245 m  D) 187 m  E) 765 m

Solution: Speed = [45 X 5/18] m/sec   = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2   => 2(130 + x) = 750 => x = 245 m.   Answer: 245 m
Answer: C
The S.I. on a certain sum of money for 3 years at 5% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices.
A) 2197	B) 2800	C) 1750	D) 2267	E) 1262

Solution: Explanation:   C.I. = [4000 * (1 + 10/100)2 - 4000]   = (4000 * 11/10 * 11/10 - 4000) = Rs. 840.   Sum = (420 * 100)/(3 * 5) = Rs. 2800   Answer:2800
Answer: B
A batsman makes a score of 300 runs in the 17th inning and thus increases his averages by 10. What is his average after 17th inning?  Choose the correct choice from the following:  A) 39  B) 140  C) 42  D) 40.5  E) 41.5

Solution: let the average after 16th inning =x   then total run after 16th inning=16x   then total run after 17th inning=16x+300   then average run after 17th inning=(16x+300)/17   (16x+300)/17=x+10 => 16x+300 = 17x+170   x=130   average after 17th inning =130+10= 
130+10 = 140
140   ANSWER:140
Answer: B
If x ≠ 0 and x^2 - (2- x^2)/x^2 = y/x, then y =  Choose the correct answer: A) -2/x B) x^2 − 2 C) 2x^2 − 2 D) x − 2 − x^2 E) x − 2 + x^2

Solution: x^2 - (2- x^2)/x^2 = y/x   -2/x^2 = y/x   y = -2/x   -2/xnswer : -2/x
Answer: A
Which of the following is a possible length for side AB of triangle ABC if AC = 3 and BC = 10?
I. 7
II. 9 √3
III. 11.5 Choose the most appropriate option.
A) I only	B) II only	C) III only	D) II and III	E) I, II, and III

Solution: (10-3) < AB < (10+3)   The answer is III only.
Answer: C
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:	Choose the correct choice from the following choices:
A) 2700	B) 2900	C) 3000	D) 3100	E) 3300

Solution: Number of valid votes = 80% of 7500 = 6000.   Valid votes polled by other candidate = 45% of 6000   =45/100 x 6000 = 2700   2700NSWER :2700
Answer: A
Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 20 years?  Select the correct option:
A) 30  B) 35  C) 40  D) 50  E) 60

Solution: Explanation :   (A + B), five years ago = (15 * 2)= 
(15 * 2) = 30
30 years.   (A+B), now= (30+5*2)= 
(30+5*2) = 40
40 years.   (A + B + C), now= (20 x 3) years =60 years.   C, now = (60 - 40)= 
(60 - 40) = 20
20 years.   C, after 20 years= (20 + 20)= 
(20 + 20) = 40
40 years.   Answer : 40
Answer: C
A cistern is filled by pipe A in 16 hours and the full cistern can be leaked out by an exhaust pipe B in 20 hours. If both the pipes are opened, in what time the cistern is full?  Pick one:
A) 50hrs	B) 60hrs	C) 70hrs	D) 80hrs	E) 90hrs

Solution: time taken to full the cistern=(1/16-1/20)hrs   =1/80   =80hrs   ANSWER:80hrs
Answer: D
21 goats eat as much as 15 cows. How many goats each as much as 35 cows?
Options:
A) 49	B) 32	C) 36	D) 41	E) 42

Solution: Explanation :   15 cows ≡ 21 goats   1 cow ≡21/15 goats   35 cows ≡ (21×35)/15 goats ≡ (21×7/3) goats ≡ 7 × 7 goats ≡ 49 goats. 49nswer : Option 49
Answer: A
The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?  Choose the correct choice from the following answers:
A) 150 B) 185 C) 190 D) 210 E) 220

Solution: 185   Answer is 185
Answer: B
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points? Choose the correct choice from the following choices
A) 87 B) 83 C) 78 D) 56 E) 32

Solution: We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear and no other set of three points, except those that can be selected out of these 6 points are collinear.   Hence, the required number of straight lines   = ¹¹C₂ - ⁶C₂ - ⁵C₂ + 1 + 1   = 55 - 15 - 10 + 2= 
55 - 15 - 10 + 2 = 32
32   Answer:32
Answer: E
A trader bought a car at 30% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?	Select the correct option
A) 18%
B) 13%
C) 12%
D) 32%
E) 19%

Solution: Original price = 100   CP = 70   S = 70*(170/100)= 
70*(170/100) = 119
119   100 - 119= 19%   Answer: 19%
Answer: E
A right triangle has its other two angle measurements given in ratios 2:3 relative to each other. What is the measurement of one of the other two angles?  Choices
A) 36Â°	B) 45Â°	C) 60Â°	D) 74Â°	E) 86Â°

Solution: A right triangle has a 90Â° angle, so the other two angles should add up to 90Â°. With the 2:3 ratio, we use the equation   2x + 3x = 90Â°   5x = 90Â°   x = 18Â°   2x = 36Â°, which is 36Â°   3x = 54Â°, which is not in the choices, so the answer is 36Â°
Answer: A
A table is bought for Rs.400/- and sold at Rs.300/- find gain or loss percentage
Choose the correct choice from the following.
A) 25%loss  B) 30%gain  C) 25%gain  D) 10%loss  E) 50% loss

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (300 - 400)/400 = 25% loss   25%loss
Answer: A
What is 2 2/3 - 1 1/4 divided by 1/5 - 1/6 ?	Select the correct option:  A) 17/36  B) 36/17  C) 17/6  D) 85/2  E) 51/4

Solution: 2 2/3 - 1 1/4 = 8/3 - 5/4 = (32 - 15 )/12 = 17/12   1/5 - 1/6 = (6-5)/30 = 1/30   So 17/12/1/30 = 17/12 * 30 = 85/2   Answer - 85/2
Answer: D
IF
1= E
2=O
3= E
4= R
5= I
THEN 6=?
Choose the correct choice:
A) I	B) J	C) K	D) X	E) M

Solution: IF   1= E... last letter of ONE.   2=O.... last letter of TWO.   3= E   4= R   5= E   THEN 6=X ... last letter of SIX.   ANSWER:X
Answer: D
A committee is reviewing a total of 20x black-and-white films and 4y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
Choose the correct choice from the following options:
A) 26/21 B) 28/21 C) 20/21 D) 40/21 E) 60/21

Solution: Say x=y=10. In this case we would have:   20x=200 black-and-white films;   4y=40 color films.   y/x%=10/10= 
10/10 = 1
1% of the black-and-white films, so 2 black-and-white films and all 40 color films, thus total of 42 films were selected.   Color films thus compose 40/42=20/21 of the selected films.   Answer: 20/21
Answer: C
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 57, the how old is B?
A.	7
B.	8
C.	9
D.	10
Explanation:  Choose the correct option:
A) 5  B) 22  C) 9  D) 10  E) 11

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 57   5x = 55   x = 11.   Hence, B's age = 2x = 22 years.   Answer: Option 22
Answer: B
Calculate the percentage gain if a trader bought a bicycle for Rs.740 and sold it for Rs.1250?  Choose the correct choice from the following answers.
A) 61.92%  B) 68.92%  C) 66.92%  D) 63.92%  E) 62.92%

Solution: C.P. = 740   S.P. = 1250   Gain = 1250-740 ---- 510   % Gain => 510/740*100 => 68.92%   Answer:68.92%
Answer: B
The average of 7 consecutive numbers is 33. The highest of these numbers is:	Choose the correct answer.
A) 28  B) 30  C) 33  D) 36  E) 28

Solution: The average of 7 consecutive numbers will be the 4th number which is given to be = 33 5th number = 34, 6th number = 35, 7th number = 36   Answer: 36.
Answer: D
Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 – S3 + S2 – S1+S0. What is the value of K? Pick: A) 67 B) 130 C) 45 D) 41 E) 36

Solution: I used brute force for this question:   S6: 36+30+94=160   S5: 25+25+94=144   S4: 16+20+94=130   S3: 9+15+94=118   S2: 4+10+94=108   S1: 1+5+94=100   S0: 0+0+94=94   S6-S5+S4-S3+S2-S1+S0= 16+12+8+94= 
16+12+8+94 = 130
130   Answer 130
Answer: B
Ayesha's father was 48 years of age when she was born while her mother was 40 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?	Pick one:
A) 2 years
B) 4 years
C) 6 years
D) 7 years
E) 6 years

Solution: Explanation:   Mother's age when Ayesha's brother was born = 40 years.   Father's age when Ayesha's brother was born = (48 + 4)= 
(48 + 4) = 52
52 years.   Required difference= (52 - 48)= 
(52 - 48) = 4
4 years.   Answer: Option 4 years
Answer: B
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability N that the sum of the 2 numbers on the balls will be even?  Choose the correct answer:
A) 25% B) 37.5% C) 50% D) 62.5% E) 75%

Solution: Correct Answer: C   Since there are 5 even numbered balls and 5 odd numbered balls, the probability N of selecting either an even or an odd is 5/10= 1/2. In order for the sum of the numbers on the two balls to be even, either both numbers must be even or both numbers must be odd; one even and one odd number would add to an odd number. The probability of selecting two even numbers is:   1/2 * 1/2= 1/4   The probability of selecting two odd numbers is also:   1/2 * 1/2= 1/4   Adding both probabilities gives 1/4+1/4= 1/2 , or 50%, as the probability that the sum of the numbers will be even. Thus, the correct answer is (50%).
Answer: C
Two pipes can fill a tank in 20 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choose the correct choice.
A) 5 minutes
B) 17 minutes
C) 15 minutes
D) 10 minutes
E) 12 minutes

Solution: Part of the filled by all the three pipes in one minute   = 1/20 + 1/15 - 1/45 = (9 + 12 - 4)/180 = 17/180   So, the tank becomes full in 5 minutes.   5 minutesnswer: 5 minutes
Answer: A
If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 9% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?	Choose the correct choice from the following
A) 2  B) 5  C) 900/109  D) 110/209  E) 9/4

Solution: Let price be 10/ticket   then 220 tickets for this month's performance at its usual price=2200   which is 10%greater than last month(let X)---->x(1+10/100)=2200----->x=2000   now new revenue this month=200*10.9= 
200*10.9 = 2_180
2180   as per question asked 2000=2180(1-A/100)----->A=900/109%   Ans 900/109
Answer: C
A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 2 or 19?
Choices:  A) 17/30  B) 2/5  C) 7/15  D) 8/15  E) 11/30

Solution: Number of Multiples of 2 from 1 through 30 = 30/2= 
30/2 = 15
15   Number of Multiples of 19 from 1 through 30= 30/19 = 1   Number of Multiples of 2 and 19 both from 1 through 30 = Number of Multiples of 19*2(=38) = 0   Total favourable cases = 15 + 1- 0= 
15 + 1- 0 = 16
16   Probability= 16 / 30 = 8/15   Answer: option 8/15
Answer: D
A train is 360 meter long is running at a speed of 36 km/hour. In what time will it pass a bridge of 140 meter length? Choose the most appropriate option.
A) 50 seconds	B) 29 seconds	C) 40 seconds	D) 11 seconds	E) 12 seconds

Solution: Speed = 36 Km/hr = 36*(5/18) m/sec = 10 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (1/10)= 
500 * (1/10) = 50
50 seconds   50 secondsnswer:50 seconds
Answer: A
15 people went to a hotel for combine dinner party 10 of them spent Rs. 50 each on their dinner and rest spent 4 more than the average expenditure of all the 15. What was the total money spent by them.	Pick:
A) 1628.4 B) 1534 C) 780 D) 1496 E) None of these

Solution: Solution: Let average expenditure of 15 people be x.   then,   15x = 10*50+5*(x+4);   Or, 15x = 10*50+5x+20;   Or, x = 52;   So, total money spent = 52*15 = Rs. 780.   Answer: Option 780
Answer: C
A train is 360 meter long is running at a speed of 90 km/hour. In what time will it pass a bridge of 140 meter length?  Choose the correct choice from the following options.
A) 27 seconds B) 29 seconds C) 40 seconds D) 11 seconds E) 20 seconds

Solution: Speed = 90 Km/hr = 90*(5/18) m/sec = 25 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (1/25)= 
500 * (1/25) = 20
20 seconds   Answer:20 seconds
Answer: E
A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?  Choose the correct answer
A) 23:41 B) Either ;35:1 C) 41:54 D) 35:43 E) 12:31

Solution: Each of the span is an independent event and the outcome of the 15th span will not depend on the outcome of the earlier spans.   Either ;35:1   Either ;35:1)
Answer: B
How many positive integers less than 250 are multiple of 4 but NOT multiples of 6? Choose the correct choice from the following options
A) 20 B) 31 C) 42 D) 53 E) 64

Solution: Multiples of 4 less than 250 = {4,8,12,......248} = 62 numbers   Multiples of 4 which are multiples of 3 too ={12,24,36.....240} = 20 numbers   So required number= 62-20= 
62-20 = 42
42   42hoice 42
Answer: C
When integer K is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3K
II. 4K+10
III. 5K
IV. 2K
V .6K
II. 5n
III. 4n + 10 Choose one:
A) II	B) I	C) III	D) V	E) IV

Solution: III
Answer: C
How many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?	Choices
A) 14  B) 13  C) 12  D) 11  E) 10

Solution: The number = 2a + 3b < 17   When a = 1, b = 1, 2, 3, 4, 5 -> 2a = 2; 3b = 3, 6, 9, 12, 15 -> the number = 5, 8, 11, 14-->4 numbers   when a =2, b = 1,2,3,4-> ....--> 4 numbers   when a =3, b = 1,2,3 --> ....--> 3 numbers   Total number is already 11. Look at the answer there is no number greater than 11 --> we dont need to try any more   Answer must be 11
Answer: D
The sum of ages of 5 children born 3 years different each is 55 yrs. What is the age of the Elder child?
Options:  A) 17  B) 19  C) 16  D) 18  E) 21

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 55   5x = 25   x = 5.   x+12= 5+12= 
5+12 = 17
17   17
Answer: A
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?	Choose the correct choice from the following:
A) Rs.1000
B) Rs.1100
C) Rs.1200
D) Rs.1250
E) Rs.1500

Solution: Explanation:   90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   Rs.1000)
Answer: A
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Choices: A) 35km/hr B) 30km/hr C) 32km/hr D) 34km/hr E) 36km/hr

Solution: Distance covered = 120+120= 
120+120 = 240
240 m   Time= 12 s   Let the speed of each train = v. Then relative speed = v+v = 2v   2v = distance/time = 240/12= 
240/12 = 20
20 m/s   Speed of each train= v = 20/2= 
20/2 = 10
10 m/s= 10×36/10 km/hr = 36 km/hr   Answer is 36km/hr.
Answer: E
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 1/4 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing? Choose the correct answer: A) 1/3 B) 2/5 C) 1/4 D) 1/6 E) 3/4

Solution: The fraction of homes which are termite-infested but not collapsing is 3/4*1/3 = 1/4   The answer is 1/4.
Answer: C
A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?	Choose the correct choice from the following answers
A) 20 B) 43 C) 45 D) 80 E) 90

Solution: Sol. Number of choices to go by ship = 4 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 4 x 5 = 20 ways   20
Answer: A
P, Q and R are inner angles in a triangle. If P= Q+ R, what can't be the size of Q?  Select
A) 30 DEGREES B) 40 DEGREES C) 90 DEGREES D) 50 DEGREES E) 60 DEGREES

Solution: Given P= Q+ R, and P, Q and R are inner angles in a triangle. Thus P+ Q+ R= 180   Q+ R+ Q+ R= 180 => 2(Q+ R) = 180 => Q+ R= 90. Thus Q will be less than 90.   Hence the answer is 90 DEGREES.
Answer: C
4 red,6blue,26 green ball. person choose 1 at a time either blue or red. what is probability that he choose red ball  Choose the correct choice from the following answers:
A) 0.1
B) 0.2
C) 0.3
D) 0.4
E) 0.5

Solution: probability that none of ball is blue or red is=26/36=13/18   probability of blue or red ball=1/13/18=5/18   probability of only red ball in blue or red ball=(4/36)/(5/18)= 
(4/36)/(5/18) = 2/5 = around 0.4
0.4   ANSWER:0.4
Answer: D
Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 90 watch exactly two channels. How many watch exactly one channel? Select the correct option:
A) 155
B) 160
C) 175
D) 190
E) 195

Solution: 250 = n(Exactly 1 channel) + n(Exactly 2 channels) + n(Exactly 3 channels)   250 = n(Exactly 1 channel) + 90 + n(Exactly 3 channels)   Let's find the value of n(Exactly 3 channels) = x   250 = n(A) + n(B) + n(C) - n(A and B) - n(B and C) - n(C and A) + n(A and B and C)   Note that each of n(A and B) is the sum of 'number of people watching exactly two channels A and B' and 'number of people watching all three channels'.   250 = 116 + 127 + 107 - n(Exactly 2 channels) - 3x + x   250 = 116 + 127 + 107 - 90 - 2x   x = 25   250 = n(Exactly 1 channel) + 90 + 25   n(Exactly 1 channel) = 155   155nswer (155)
Answer: A
A start walking from a place at a uniform speed of 4 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.  Choices:
A) 4.7 kmph
B) 4.6 kmph
C) 4 kmph
D) 7 kmph
E) 5.3 kmph

Solution: Distance covered by A in 30 min = 1 Km   B covers extra 1km in 1 hour 48 minutes (9/5 hr)   i.e. Relative speed of 4.6 kmph over A = 1/(9/5) = 5/9   So the speed of 4.6 kmph = Speed of A + 5/9   = 4 + 5/9   = 4.55   Answer 4.6 kmph
Answer: B
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.15 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?  Choose the correct choice from the following.
A) 1276	B) 1200	C) 2832	D) 1800	E) 1236

Solution: Explanation:   l * 30 = 1200 è l = 40   40 + 30 + 50= 
40 + 30 + 50 = 120
120   120 * 15= 
120 * 15 = 1_800
1800   Answer: Option 1800
Answer: D
Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 50% of the previous term. What is the value range of the five numbers?
Choose the correct choice from the following choices:  A) 9,375  B) 9,750  C) 9,975  D) 9,984  E) 10,736

Solution: 1st number= 10,000   2nd number =50% of 10,000=5000   3rd number= 50% of 5000= 2500   4th number = 50% of 2500=1250   5th number= 50% of 1250= 625   Range = 10,000-625= 9375   9,375 is the answer
Answer: A
Tom bought 2 shares and sold them for $110 each. If he had a profit of 10% on the sale of one of the shares but a loss of 50% on the sale of the other share, then on the sale of both shares Tom had
Select the correct option:
A) a profit of $100  B) a loss of $100  C) a loss of $110  D) a profit of $110  E) neither a profit nor a loss

Solution: total CP = 11000/110 + 11000/50 = 100 + 220= 
100 + 220 = 320
320   SP=110*2= 
110*2 = 220
220   loss= Rs 100/-   Answer: a loss of $100
Answer: B
Josh spends a total of $5.5 buying P items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then may be which of the following?	Choose the correct choice from the following answers.
A) 99 B) 100 C) 101 D) 112 E) 113

Solution: P items in the convenience store$5.5 = 550 cents   550 = 50a + 5b   =>110 = 10a + b   b = 110 - 10a = 10(11-a)   Hence b is even and multiple of 10.   Possible values of b:   b = 10,20,30,40,50,60,70,80,90,100   a = 11,9,8,7,6,5,4,3,2,1   The total (a+b) is 21,29,38,47,56,65,74,83,92,101   The only option is 101. Hence 101.
Answer: C
There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 18% of all the students at Morse have cars, how many students are in the three lower grades?	Choose the correct choice from the following choices:  A) 600  B) 900  C) 1200  D) 1350  E) 1500

Solution: Let x be the number of students in the lower three grades.   0.1x + 150 = 0.18(x+300)   0.08x = 96   x = 1200   The answer is 1200.
Answer: C
The average age of 25 students in a group is 12 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?  Choose the correct choice from the following choices.
A) 31	B) 38	C) 39	D) 40	E) 57

Solution: age of the teacher=(26*13-25*12)= 
(26*13-25*12) = 38
38 years.   ANSWER:38
Answer: B