MU-NLPC/Calc-aqua_rat huggingface dataset:
According to a survey, at least 48% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Select.
A) 0%  B) 3%  C) 8%  D) 15%  E) 18%

Solution: To minimize the percentage who like all three, let's maximize the percentage who like 2 out of 3.   80% like cherries and 20% don't like cherries.   Let's combine this with the people who like bananas.   20% don't like cherries but do like bananas.   55% like cherries and bananas.   25% like cherries but not bananas.   Now let's distribute the people who like apples.   20% like bananas and apples, but not cherries.   25% like cherries and apples, but not bananas.   3% like all three.   52% like cherries and bananas, but not apples.   The answer is 3%.
Answer: B
At what rate of interest is an amount doubled in two years, when compounded annually?	Select the correct option
A) 41.4%
B) 43.4%
C) 31.4%
D) 30%
E) 21.4%

Solution: Let the rate of interest be r. The amount gets doubled in two years => P(1 + r/100)2 = 2p => 1 + r/100 = √2 => r/100 = √2 - 1 = 0.414 => r = 100(0.414) = 41.4%   41.4%NSWER:41.4%
Answer: A
Which of the following is greatest? Choose one:
A) 2/3 B) 6/3 C) 7/3 D) 8/3 E) 10/3

Solution: simply we know that 10/3 is greater than all others.   Answer is : 10/3
Answer: E
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate? Select.
A) 776	B) 744	C) 299	D) 257	E) 125

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 288   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 288   62% -------- ?=> 744   Answer:744
Answer: B
If b is greater than 1 , which of the following must be negative? Pick.
A) (2 - b)(b - 1)	B) (b - 1)/3b	C) (1 - b)^2	D) (2 - b)/(1 - b)	E) (1 - b^2)/b

Solution: To be -ive, we should remember it should not be zero apart from being positive...   C will always be 0 or positive..   A and D will be zero at b=2..   B will always be positive..   left is E, where the numerator will always be negative and denominator, a positive..   ans (1 - b^2)/b
Answer: E
What is the probability that a leap year has 53 Sundays and 52 Mondays?  Choose the correct choice
A) 1/7	B) 3/7	C) 2/7	D) 6/7	E) 5/7

Solution: 1/7 leap year has 52 weeks and two days   Total number of cases = 7   Number of favourable cases = 1   i.e., {Saturday, Sunday}   Required Probability = 1/7   1/7NSWER 1/7
Answer: A
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 3 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?	Choose the correct choice from the following answers
A) 2y	B) 4y	C) 5y	D) 6y	E) 25/3y

Solution: Anthony performed for 14 days meansw Cindy performed for  (14-3)= 
  (14-3) = 11
11 days.   If Cindy gives y dollars to Anthony their Daily rate will be equal.It means   (x+y)/14=(x-y)/11   Solving we get, x=25/3y   Now Anthony's Advance is x=25/3y .So answer should be 25/3y.
Answer: E
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 8 kmph, then the speed of the boat in still water is : Answers
A) 2.5 km/hr B) 4.2 km/hr C) 5 km/hr D) 10.5 km/hr E) None of these

Solution: Solution   Speed of stream = 1/2 (18-8) km/hr=5kmph . Answer 5 km/hr
Answer: C
A man bought 10 crates of mangoes for $160 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost?
Options:
A) $35
B) $25
C) $45
D) $50
E) $55

Solution: As given, after lost, the remaining 8 crates total cost = $160   So, 1 crate cost = 160/8= 
160/8 = 20
20   To get 25% profit, 1 crate cost should be= 20+20*25/100= 
20+20*25/100 = 25
$25   Answer : $25
Answer: B
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 8 days more? Choose one
A) 1122  B) 1140  C) 1199  D) 1188  E) 1166

Solution: 760 ---- 22   760 ---- 20   x ----- 8   x*8 = 760*20   x = 1900   760   -------   1140   Answer: 1140
Answer: B
By weight, liquid X makes up 0.5 percent of solution P and 1.5 percent of solution Q. If 200 grams of solution P are mixed with 800 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?	Choose the correct choice from the following choices:
A) 1.3%	B) 1.2%	C) 1.1%	D) 1.0%	E) 0.9%

Solution: The number of grams of liquid X is 0.5(200)/100 + 1.5(800)/100 = 1 + 12= 
1 + 12 = 13
13 grams.   13 / 1000= 1.3%   The answer is 1.3%.
Answer: A
In a triangle XYZ, XZ is the longest side, length of which is 1 unit more than YZ, which again has length 1 unit more than XY. If area of the triangle is 10 and the shortest side is 3. What are the lengths of the three sides?  Select.
A) 1, 2, 5	B) 3, 4, 5	C) 4, 5, 6	D) 7, 8, 9	E) 5, 2, 4

Solution: XY=3   YZ=1+XY = 4   XZ=1+YZ=5   3, 4, 5 is the correct option.
Answer: B
How many Z ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen? Choose the correct choice from the following.
A) 3
B) 16
C) 28
D) 32
E) 56

Solution: Ways to select 3 people from 8 people (4 twins x 2) = 8C3 = 56   Ways to select 1 twin + 1 people = 4C1*6C1 = 24   Ways to select a group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen Z= 56 - 24= 
56 - 24 = 32
32   Ans: 32
Answer: D
The average of 25 results is 50. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?  Choose the correct choice from the following answers:
A) 741
B) 752
C) 878
D) 785
E) 458

Solution: Solution: Sum of 1st 12 results = 12*14   Sum of last 12 results = 12*17   13th result = x (let)   Now,   12*14+12*17+x = 25*50   Or, x = 878.   Answer: Option 878
Answer: C
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is ?
Pick one
A) 33.3
B) 36.5
C) 26.5
D) 16.5
E) 86.5

Solution: Correct Sum = (36 * 50 + 48 - 23)= 
(36 * 50 + 48 - 23) = 1_825
1825.   Correct mean= = 1825/50= 
1825/50 = 73/2 = around 36.5
36.5   Answer: 36.5
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?	Select the correct option:
A) 33/91  B) 33/18  C) 33/29  D) 33/18  E) 33/12

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is   = 12C4/15C4   = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12)   = 33/91   33/91nswer:33/91
Answer: A
If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Choose the correct choice from the following options:
A) 89 days B) 90 days C) 85 days D) 99 days E) 79 days

Solution: From the above formula i.e (m1*t1/w1) = (m2*t2/w2)   so (9*6*88/1) = (6*8*d/1)   on solving, d = 99 days.   Answer : 99 days.
Answer: D
At 15:00 there were 21 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ? Choose the correct choice.
A) 7	B) 14	C) 25	D) 27	E) 30

Solution: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -   8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)   20 + 3*14 -8 * 4 = 27   27
Answer: D
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?  Choose one.
A) Rs.3750
B) Rs.3000
C) Rs.3200
D) Rs.2160
E) Rs.2000

Solution: Explanation:   60*5:36*6:75*3   100: 72: 75   100/247 * 7410= 
100/247 * 7410 = 3_000
3000   ANSWER IS Rs.3000
Answer: B
There are 3 numbers x,y,z.the mean is m.median is 5.m is 10 more than the smallest number and 15 less than the biggest number.what is x+y+z?	Choose the correct choice from the following choices.
A) 20
B) 30
C) 35
D) 40
E) 45

Solution: m=x+y+z/3   x+y+z=3m   median is middle number let y=5   let x is biggest number then x=m+15   z will be the smallest number then z=m-10   m+15+5+m-10=3m   m=10   then x+y+z=30   ANSWER:30
Answer: B
whats the next no..
3,7,13,19.... Choose the correct answer:
A) 27	B) 28	C) 29	D) 30	E) 31

Solution: prime no.s from 3 onwards   3,5,7,11,13,17,19,23,29   write alternate primes no.s starting from 3   3,7,13,19,29   ANSWER:29
Answer: C
Nine children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?  Select.
A) 240 B) 480 C) 540 D) 720 E) 840

Solution: Since it is more time consuming and error prone to find ways Betsy and E not sitting together, It is better we find ways in which they will be together and then subtract from total ways..   total ways = 6!..   ways B and E will be sitting together..   take both B and E as one, then these two together with other 4 can sit in 5! ways ...   Also B and E can sit within themselves in 2! ways..   so the answer required = 6!-2*5!=840..   ans 840
Answer: E
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?	Pick.
A) 299m  B) 287m  C) 279m  D) 100m  E) 277m

Solution: A can give B (5 min - 4 1/2 min) = 30 sec start.   The distance covered by B in 5 min = 1000 m.   Distance covered in 30 sec = (1000 * 30)/300= 
(1000 * 30)/300 = 100
100 m.   A can give B 100m start.   Answer:100m
Answer: D
If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?	Select the correct option
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Let the roots of the equation 2a and 3a respectively.   2a + 3a = 5a 2  + 3= 
2  + 3 = 5
5a= -(- 5/2) = 5/2 => a = 1/2   Product of the roots: 6a2 = b/2 => b = 12a2   a = 1/2, b = 3.   3NSWER:3
Answer: A
The down stream speed of a boat is 50km/hr and its up stream speed is 10km/hr, then find the speed of boat in still water?  Choose the correct choice
A) 20km/hr
B) 30km/hr
C) 45km/hr
D) 50km/hr
E) 25km/hr

Solution: speed of boat in still water = 1/2 (50+10) = 30 km/hr   Answer is 30km/hr
Answer: B
A report has 20 sheets each of 55 lines and each line consists of 65 characters. If this report is to be retyped with each sheet having 65 lines and each line of 75 characters what will be the reduction percent in the pages ? Answers
A) 22.5 %
B) 35%
C) 25%
D) 15%
E) 45%

Solution: let 20 sheets contains 55*65*20 characters which is equals with y pages which contains 65*75*y characters .   Both the sheets have equal characters so, 20*55*65=y*65*75=>y=14.6 pages means 15 pages   so reduction in sheets =25%   ANSWER:25%
Answer: C
Which of the following is equal to 1(3/5)%? Choose the correct option.
A) 0.012/100
B) 0.12/100
C) 1.6/100
D) 12/100
E) 12/10

Solution: This notation may be confusing for some, since it looks like we're multiplying 1 and 3/5   How about adding a space:Which of the following is equal to (1 3/5)%   (1 3/5)% = 1.6% = 1.6/100   Answer:   1.6/100
Answer: C
Which of these expressions has the greatest value?	Pick
A) 1788542/1788545
B) 1654321/1654326
C) 1668421/1668424
D) 1532156/1532159
E) 1653782/1623787

Solution: Using elimination method on options   1653782/1623787 = 1.01847225036...   ANSW1653782/1623787R:1653782/1623787
Answer: E
At the time of marriage, a man was 6 years elder to his wife. 12 years after their marriage, his age is 6/5 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.	Choose the most appropriate option.
A) 36 years  B) 30 years  C) 18 years  D) 24 years  E) 26 years

Solution: let wifes age= x   husband age = x+6   now after 12 years of mrg x+12 wifes age   x+6+12 husbands age   6/5(x+12)=x+6+12= 
+6+12 = 18
18   ANSWER:18 years
Answer: C
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?	Choose the most appropriate option
A) 22	B) 56	C) 88	D) 66	E) 21

Solution: 1 to 11 = 11 * 50= 
11 * 50 = 550
550   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 – 550 = 56'   Answer: 56
Answer: B
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 4/7 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choose the most appropriate option.
A) 1/3  B) 1/4  C) 1/5  D) 1/6  E) 1/7

Solution: The fraction of homes which are termite-infested but not collapsing is 3/7*1/3 = 1/7   The answer is 1/7.
Answer: E
By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 50? Choose the correct choice from the following answers:  A) 5  B) 4  C) 11  D) Not possible  E) 8

Solution: A number to be divisible by 50 must end with 00 or 50.   So, not possible.   Answer: Not possible.
Answer: D
Fred has 200 animals. If 6% are chickens, how many of the animals are not chickens?
Pick one
A) 12  B) 24  C) 198  D) 188  E) 156

Solution: 6% of the 200 animals are chickens.   This means there are 200*(6/100) chickens.   Therefore 200 - 200*(6/100) animals are not chickens   200 - 200*(6/100) = X   200 - 1200/100 = X   200 - 12= 
200 - 12 = 188
X   188   188)
Answer: D
the sum of two numbers is 15 and their geometric mean is 20% lower than arithmetic mean . find the numbers .
Answers:
A) 11,4
B) 12,3
C) 9,6
D) 3,2
E) 2,1

Solution: let a and b are two numbers   so a+b=15 ....(1)   now GM=AM*80/100   or, sqrt(ab)=[(a+b)/2]*80/100   squaring both sides...and after that putting the value of (a+b)...we get.....   ab=36 now go through from option then we get  12*3= 
 12*3 = 36
36   ANSWER:12,3
Answer: B
Last week John spent 10 percent of his wages on recreation. This week, his wages are 10 percent less than last weekʼs wages and he spent 40 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week Choose the correct choice from the following choices
A) 180% B) 360% C) 200% D) 220% E) 250%

Solution: Say John's wages last week were $100, so he spent  0.10*100= 
 0.10*100 = 10
$10 on recreation;   This week's wages is 0.90*100= 
0.90*100 = 90
$90, so he spends   0.4*90= 
  0.4*90 = 36
$36 on recreation;   36/10= 
36/10 = 18/5 = around 3.6
3.60, hence the amount he spends on recreation this week is 360% of the amount he spent on recreation last week:   10*3.6= 
  10*3.6 = 36
36   Answer: 360%
Answer: B
If you are given $2, and the amount doubles every day, how much money will you have after 8 days?  Choose the correct choice from the following.
A) $256
B) $512
C) $1024
D) $2048
E) $4096

Solution: 2^8=256   The answer is $256.
Answer: A
There are 40 balls which are red, blue or green. If 15 balls are green and the sum of red balls and green balls is less than 25, at most how many red balls are there? Select the correct option:
A) 4 B) 5 C) 6 D) 7 E) 9

Solution: r+g+b=40   g=15   r + g < 25   => r + 15 < 25   => r < 10   => at most 6 red balls   ANSW9R:9
Answer: E
Find the simple interest on Rs 8000 at 16% per annum for the period from 18th May 2014 to 8th April 2014	Choose the correct choice from the following: A) Rs. 118.8 B) Rs. 128.8 C) Rs. 148.8 D) Rs. 278.8 E) Rs. 178.8

Solution: Explanation:   One thing which is tricky in this question is to calculate the number of days.   Always remember that the day on which money is deposited is not counted while the day on which   money is withdrawn is counted.   So lets calculate the number of days now,   Time = (13+30+8)= 
(13+30+8) = 51
51/365 years   P= 8000   R = 16%   S.I. = =8000Ã—16Ã— 51/(365*100)=178.8   Answer: Rs. 178.8
Answer: E
19 5 17 = x
65 8 10 = y
What will be the value of x + y?
Select the correct option: A) 189 B) 129 C) 69 D) 169 E) 179

Solution: according to options units digit is 9   7+1+1= 
7+1+1 = 9
9   10 's place +10's place+ unit place=1+1+7= 
1+1+7 = 9
9   according to this 5+1+6= 
5+1+6 = 12
12   so over all answer=129   ANSWER:129
Answer: B
How long will it take a certain amount to increase by 30% at the rate of 15% simple interest? Choose the correct choice from the following choices:
A) 20	B) 30	C) 40	D) 50	E) 60

Solution: Let the principal be Rs. x   Simple interest = x*30/100 = 3x/10   T = 100*SI/PR = 100*3x/10 / x*15 = 2%   Alternatively, this can be solved by considering principal amount to be Rs. 100. Then simple interest becomes Rs. 30. ANSWER : 30   Then, T = 100*30/100*15 = 2%
Answer: B
The value of x + x(xx) when x = 2 is:  Pick:
A) 10  B) 18  C) 16  D) 64  E) 36

Solution: x + x(xx)   Put the value of x = 2 in the above expression we get,   2 + 2(22)   = 2 + 2(2 × 2)   = 2 + 2(4)   = 2 + 8= 
2 + 8 = 10
10CORRECT 10NSWER : 10
Answer: A
__2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 4, what is the value of C? Pick one:
A) 6
B) 5
C) 4
D) 3
E) 2

Solution: If A+B=4   assuming A and B are positive then A*B<10 (they could be either 1,2,3,)   therefore   A*B=4   2*B=4   A+B=4   Three simple equations - divide the 1st/2nd --> A=2 plug it the 3rd --> B=2 --> 4=4 (ANSWER 4)
Answer: C
Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?	Select:
A) 11%
B) 25%
C) 44%
D) 56%
E) 125%

Solution: ( Savings in Year 1 ) + ( Savings in Year 2 ) = 540   240 + ( Savings in Year 2 ) = 540   ( Savings in Year 2 ) = 300   Increase in saving in Year 2 = 60 ( 300 - 240 )   % increase in savings = (60/240)100 =>25%   Hence answer will be (25%) 25%
Answer: B
The ratio of the volumes of two cubes is 343 : 512. What is the ratio of their total surface areas?  Choose the correct choice from the following answers
A) 1:22  B) 8:12  C) 36:41  D) 81:19  E) 1:11

Solution: Ratio of the sides = ³√343 : ³√512   = 7 : 8   Ratio of surface areas = 72:82   = 36:41   Answer: 36:41
Answer: C
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years? Choose the correct choice from the following
A) A)24 B) B)25 C) C)26 D) D)27 E) E)28

Solution: Let the present ages of Sameer and Anand be 5x and 4x years respectively.   Then, (5x + 3)/(4x + 3) = 11/9   9(5x + 3) = 11(4x + 3) => x = 6   Anand's present age = 4x = 24 years.   24NSWER:24
Answer: A
The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 60 instead of 10 then find the correct average marks?	Choose the correct choice from the following choices.
A) A)78	B) B)82	C) C)95	D) D)91	E) E)85

Solution: correct avg marks = 100+(10-60)/10   avg = 100-5= 
100-5 = 95
95   Answer is 95
Answer: C
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?  Choose the correct answer:
A) 33 B) 87 C) 350 D) 88 E) 277

Solution: D = 72 * 5/18 = 25 = 500 – 150 = 350   Answer:350
Answer: C
A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?  Pick.
A) 5 sec	B) 9 sec	C) 12 sec	D) 18 sec	E) 15 sec

Solution: Answer : E.   Speed of the train relative to man = (68 - 8) kmph   = (60* 5/18) m/sec = (50/3)m/sec   Time taken by the train to cross the man   = Time taken by It to cover 250 m at 50/3 m / sec = 250 *3/ 50= 
250 *3/ 50 = 15
15sec
Answer: E
How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?  Pick one
A) 192  B) 122  C) 140  D) 242  E) None of these

Solution: Solution   For the number to be divisible by 4, the last two digits must be any of 12, 24, 16, 64, 32, 36, 56 and 52. The last two digit places can be filled in 8 ways. Remaining 3 places in 4P3 ways.   Hence no. of 5 digit nos. which are divisible by 4 are 24 × 8 = 192. 192nswer 192
Answer: A
x = 13.165
y = 7.496
z = 11.575
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
Choose the most appropriate option:
A) 0.01
B) 0.02
C) 0.03
D) 0.1
E) 0.2

Solution: Rounding off the values:   x = 13.17   y = 7.50   z = 11.58   A = 13.17 + 7.50 + 11.58= 
13.17 + 7.50 + 11.58 = 32.25
32.25   x + y + z= 13.165 + 7.496 + 11.575 = 32.206   B = 32.21   A - B = 0.03   Option 0.03
Answer: C
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
Answers:
A) 33	B) 42	C) 65	D) 787	E) 89

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 4200   600x = 4200   x = 7 => 6x = 42   Answer: 42
Answer: B
Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?	Select
A) 25 B) 71 C) 48 D) 26 E) 12

Solution: Let the numbers be 5x, 6x and 7x.   Largest number = 7x   Smallest number = 5x   Third number = 6x   7x + 5x = 6x + 48   6x = 48   Third number is: 48.   Answer: 48
Answer: C
The average age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Pick:
A) 15 years B) 15.5 years C) 16 years D) 17 years E) Cannot be computed

Solution: Clearly, to find the average,we ought to know the numbers of boys , girls or students in the class, neither of which has been given.   so the data provided is inadequate.   ANSWCannot be computedR:Cannot be computed
Answer: E
If 2x + 3y = 48; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?  Choose the correct option:	A) 18	B) 32	C) 26	D) 28	E) None of these

Solution: On solving equation we get   x = 15, y = 6, z = 7   Answer 28
Answer: D
The present population of a town is 2100. Population increase rate is 5% p.a. Find the population of town before 1 years?	Choose one
A) 1500	B) 1600	C) 2000	D) 2100	E) 2500

Solution: P = 2100   R = 5%   Required population of town = P/(1 + R/100)^T   = 2100/(1 + 5/100)   = 2100/(21/20)= 
2100/(21/20) = 2_000
2000(approximately)   Answer is 2000
Answer: C
A circular ground whose diameter is 35 metres, has a 1.4 metre-broad garden around inside of it. What is the area of the garden in square metres?
Choose the most appropriate option
A) 301.5	B) 484.12	C) 401.84	D) 301.0	E) 301.84

Solution: Req. area = Ï€[(35)2 â€“ (33.6)2]   = 22â„7 Ã— (68.6 Ã— 1.4)[since a2 - b2 = (a + b)(a - b)]   = (22 Ã— 68.6 Ã— 0.2 = 301.84 sq m.   Answer 301.84
Answer: E