MU-NLPC/Calc-aqua_rat huggingface dataset:
A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times? Select the correct option.
A) 45 years  B) 40 years  C) 42 years  D) 38 years  E) None

Solution: P { 1 + R/100 }^15 = 2P ie [ 1 + R/100]^15 = 2 … (i) Let P[ 1 + R/100]^n = 8P [ 1 + R/100]^n =8 2^3 = { [1 + R/100]15 }^3 [ 1 + R/100]^n = [ 1 + R/100]^45 i.e n=45 Thus required time = 45 years   45 yearsnswer 45 years
Answer: A
In a school the number of girls is 30% the number of boys. Find the number of boys as a percentage of girls? Choices.
A) 112%
B) 12%
C) 333%
D) 150%
E) 16%

Solution: It is given that in a school the number of girls is 30% the number of boys.   If boys=10   girls=3   We are asked for the number of boys as a percentage of girls   b/g=10/3=10 1/3=3.333=333%   Answer is 333%
Answer: C
The average age of 8 men is increased by 2 years. When two of them, whose ages are 20 years and 24 years respectively are replaced by two women. What is the average age of these women? Choose the correct option:
A) 36 years B) 30 years C) 40 years D) 42 years E) None of these

Solution: Let the average age of 8 men be X years   Thus, Sum of the ages of 8 men = 8X years   Now, according to the condition of the question, average age of (6 men + 2 women) = (x + 2) years   Thus, Sum of the ages of (6 men + 2 women)   = 8(X + 2) = 8X x 16 years   Hence, it is clear that on replacing two men by two women, sum of their ages increased by 16 years.   Therefore, sum of the ages of two women   = (20 + 24) + 16= 
(20 + 24) + 16 = 60
60 years   Thus, average age of the women= 60/2= 
60/2 = 30
30 years   ANSWER:30 years
Answer: B
CONVERT 2.0 hectares in ares Choose the correct answer:
A) 130 ares.	B) 160 ares.	C) 180 ares.	D) 200 ares.	E) 250 ares.

Solution: 2.0 hectares in ares   1 hectare = 100 ares   Therefore, 2.0 hectares = 2.0 × 100 ares   = 200 ares.   ANSWER- 200 ares.
Answer: D
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen? Choose the correct choice from the following options:
A) Rs.5  B) Rs.4  C) Rs.2  D) Rs.3  E) Rs.6

Solution: 40*(40/100)= 
40*(40/100) = 16
16 --- 64   ? --- 12=> Rs.3   Answer: Rs.3
Answer: D
The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 2 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?  Options:	A) 3.	B) 7.	C) 10.	D) 12.	E) 15.

Solution: Time taken by the birds to meet = 15/(2 + 1)= 
15/(2 + 1) = 5
5 mins   Distance traveled by the bird traveling from West-Town= 2 * 5= 
2 * 5 = 10
10   Answer: 10.
Answer: C
In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 35, what is the greatest possible value of B x A?  Choose the most appropriate option.
A) 0	B) 10	C) 20	D) 30	E) 35

Solution: I also was confused when I was looking forabove number:D   As far as I understood, 35 is a factor of AB. In other words, the values of B (units digits can be 5 or 0. Better to have option for 5 in this case to havebigger result). Now let's try 35x1 (A=3, B=5 respectively we have =15). But we don't have this number in answer choices, move on. (avoid even multiples of 2,4,6,8 etc (we will have 0 in units thus making our result 0)   35x3 = 105 (A=0 B=5 respectively. Hey! that's 0 now.   35x5= 175 (A=7, B=5 respectively. Increasing trend , we have 35 now). This is the greatest possible value of B x A.   IMO 35.
Answer: E
The number of new words that can be formed by rearranging the letters of the word 'ALIVES' is? Options
A) 186	B) 278	C) 719	D) 278	E) 272

Solution: Number of words which can be formed   = 6! - 1 = 720 - 1= 
720 - 1 = 719
719.   Answer:719
Answer: C
What least number must be substracted from 427398 so that the remaining number is divisible by 15?
Choose the correct choice.
A) 1
B) 3
C) 11
D) 16
E) 17

Solution: Solution   On dividing 427398 by 15, we get remainder	= 3.   Required number be substracted   Answer 3
Answer: B
Students of three different classes appeared in common examination. Pass average of 10 students of first class was 50%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes? Answers:
A) 74%  B) 75%  C) 68%  D) 72%  E) None

Solution: Solution:   Sum of pass students of first, second and third class,   = (50% of 10) + (60% of 15)+ (80% of 25)   = 5+9+20= 
5+9+20 = 34
34   Total students appeared,= 10+15+25= 
10+15+25 = 50
50   Pass average,= 34*100/50= 
34*100/50 = 68
68%.   Answer: Option 68%
Answer: C
A committee of three students has to be formed. There are four candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible? Choose the correct choice from the following answers:
A) 3	B) 4	C) 5	D) 6	E) 8

Solution: Let's try a different problem with your approach. There are five people: A, B, C, D, E. Need to chose 3 for a committee. A and B cannot be chosen together. B and C cannot be chosen together. How many options?   Your approach: total 10 options, 5c3.   Now, assume the wrong scenario where A and B are chosen together. There are three such scenarios. (A and B are chosen, just need one more person.) So we have to subtract the three wrong options. Similarly, there are three wrong scenarios where B and C are chosen together.   This gives us   10-3-3= 
  10-3-3 = 4
4 as the answer.   Yet this answer is wrong. There are five possibilities: 3CD, 3CE, 3DE   3
Answer: A
Find the unknown term
8,8,6,2,-4, X  Pick:
A) 2
B) -12
C) 6
D) 8
E) 9

Solution: 8,8,6,2,-4, X   i guess each differ in d range of 2   8 - 8= 
8 - 8 = 0
0   8 - 6= 
8 - 6 = 2
2   6 - 2= 
6 - 2 = 4
4   -4 - x should be "8"   -4 - x= 8   x = -12   ANSWER:-12
Answer: B
A person is traveling at 60 km/hr and reached his destiny in 4hr.30m then find the distance?	Choose one.
A) 150km B) 270km C) 246km D) 196km E) 205km

Solution: T = 4hr30m = 9/2hr   D= T*S = 60*9/2= 
60*9/2 = 270
270KM   Answer is 270km
Answer: B
In the particular apartment , 65% reading business magazines at the same time 85% reading fashion magazines.If 70% are reading business magazines then what percentage of people reading fashion magazines?
Choose the correct option:
A) 75
B) 36
C) 65
D) 28
E) 37

Solution: business magazines readers = 65 % ; fashion magazines readers =80% total =70*100 ; business magazines readers = 70 - 65= 
70 - 65 = 5
5; fashion magazines readers= 100 - 80= 
100 - 80 = 20
20; total fashion magazines readers= 0.80*20= 
0.80*20 = 16
16; total= 20+16= 
20+16 = 36
36; answer= 36
Answer: B
The sum of 3 consecutive numbers is definitely Choose the correct choice from the following answers:
A) Positive. B) Divisible by 2. C) Divisible by 5. D) Divisible by 4. E) Divisible by 3.

Solution: If 1st term is x:   x+(x+1)+(x+2)=3x+3--->Always divisible by 3   If 2nd term is x:   (x-1)+x+(x+1)  +( +1)+( +2)= 
  +( +1)+( +2) = 3
3x+3--->Always divisible by 3   If 2nd term is x:   (x-1)+x+(x+1)=3x--->Always divisible by 3   If 3rd term is x:   (x-2)+(x-1)+x=3x-3--->Always divisible by 3   Answer: Divisible by 3.
Answer: E
Can you think of any three dimensional object that comprises of just two surfaces?
Hint: A piece of paper practically has 6 surfaces as the edges are also counted. Thus if you were thinking of that, it will be a wrong answer.	Pick: A) A cone B) A Circle C) A Square D) A triangle E) A dimond

Solution: A   There is only one possible shape i.e. a cone.
Answer: A
In how many ways the letter of the word "Family" can be when F and Y occur together?  Choose the correct choice from the following
A) 120
B) 24
C) 240
D) 48
E) 60

Solution: Consider F and Y as one unit: {FY}.   Now, 5 units {FY}, {A}, {M}, {I}, {L} can be arranged in 5! ways. In addition F and Y within their units can be arranged in 2!. So, the total # of ways is 5!*2!=240.   Answer: 240.
Answer: C
(4.75 x 4.75 x 4.75 + 1.25 x 1.25 x 1.25) / ( 4.75 x 4.75 + 1.25 x 1.25 - 4.75 x 1.25) = ?  Pick:  A) 4  B) 6  C) 7  D) 8  E) 9

Solution: = (4.753 + 1.253) / (4.752 + 1.253 - 4.75 x 1.25)   now it is same like in the 12th equation (a3 + b3) / (a2 - ab + b2) = a+b   ie. = 4.75 + 1.25= 
4.75 + 1.25 = 6
6   Answer= Option 6
Answer: B
If a person throw 2 dice simultaneously then find the probability of the sum of dots is 3 multiply ?
Choose the correct choice: A) 1/2 B) 1/3 C) 2/5 D) 7/9 E) 1/4

Solution: If 2 dies are thrown E = event of getting a prime number = 12   total number of possible out comes = 36   probability = 12/36 = 1/3   Answer is 1/3
Answer: B
A train ,120 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is Pick one:	A) 270 m	B) 255 m	C) 235 m	D) 220 m	E) 240 m

Solution: Explanation:   Assume the length of the bridge = x meter   Total distance covered = 120+x meter   total time taken = 30s   speed = Total distance covered /total time taken = (120+x)/30 m/s   => 45 Ã— (10/36) = (120+x)/30   => 45 Ã— 10 Ã— 30 /36 = 120+x   => 45 Ã— 10 Ã— 10 / 12 = 120+x   => 15 Ã— 10 Ã— 10 / 4 = 120+x   => 15 Ã— 25 = 120+x = 375   => x = 375-120= 
375-120 = 255
255   Answer: Option 255 m
Answer: B
In how many different number of ways 8 men and 5 women can sit on a shopa which can accommodate persons?
Select.
A) 200  B) 1716  C) 230  D) 250  E) 270

Solution: 13p3 = 13 Ã— 12 Ã— 11 = 1716   1716)
Answer: B
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 18 percent of revenues. The profits in 2009 were what percent of the profits in 2008? Choose the correct choice from the following answers:
A) 80%  B) 105%  C) 120%  D) 144%  E) 138%

Solution: x = profits   r= revenue   x/r = 0,1   x= 10   r=100   2009:   r=80   x/80 = 0,18 = 18/100   x= 80*18/100= 
80*18/100 = 72/5 = around 14.4
14.4   14.4/10= 1,44 = 144%, Answer 144%
Answer: D
What is the area of square field whose side of length 15 m?	Choose one.
A) 225 sq m B) 286 sq m C) 298 sq m D) 267 sq m E) 231 sq m

Solution: 15 * 15= 
15 * 15 = 225
225 sq m   225 sq mnswer:225 sq m
Answer: A
On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?  Choose the correct choice from the following choices:
A) $2.5	B) $15	C) $50	D) $100	E) $105

Solution: Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.   With respect to the problem at hand, at the end of two years, Tim would have   500(1.10)^2 = 500(1.21) = 605   and Lana would have   1,000(1.05)^2 = 1,000(1.1025) =1102.5   Thus, Tim earned 105 dollars, while Lana earned 102.5 dollars   The difference is $2.5 and the answer is $2.5.
Answer: A
A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choose the correct choice.
A) 3 min	B) 4.2 min	C) 3.4 min	D) 5.5 min	E) 5.7 min

Solution: Explanation:   Total distance = 3 ½ + ¼ = 7/2 + ¼ = 15/4 miles   Speed = 75 mph   Time = distance/speed = (15/4) / 75 hr = 1/20 hr = 60/20= 
60/20 = 3
3 minutes   3 minnswer: Option 3 min
Answer: A
10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?	Choose one:
A) 1/9
B) 1/6
C) 1/5
D) 1/0
E) 1/1

Solution: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!   Required probability = 1/5   Answer: 1/5
Answer: C
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability R the piece ends no more than 7 spaces from the square numbered 49?
Choose the correct choice
A) 7%  B) 8%  C) 14%  D) 15%  E) 28%

Solution: OA is E   required prob is 7 spaces any side of 49.   so total 14 spaces are required in 7 moves which can be achieved by max 7 move on any side   so total spaces = 28   probability R= 28%.28%
Answer: E
Jacob is 12 years old. He is 3 times as old as his brother. How old will Jacob be when he is twice as old? Select the correct option.
A) 13 B) 14 C) 15 D) 16 E) 17

Solution: j=12;   j=3b;   b=12/3= 
12/3 = 4
4;   twice as old so b=4(now)+(4)=8;   jacob is  12+4= 
 12+4 = 16
16   ANSWER:16
Answer: D
A train 100 m long crosses a platform 100 m long in 12 sec; find the speed of the train?	Choose the correct choice: A) 60 kmph B) 65 kmph C) 54 kmph D) 16 kmph E) 18 kmph

Solution: D = 100 + 100= 
100 + 100 = 200
200   T= 12   S = 200/12 * 18/5= 
200/12 * 18/5 = 60
60 kmph   60 kmphnswer:60 kmph
Answer: A
A company consists of 10 senior and 10 junior staff officers. If a committee is created with 3 senior and 2 junior staff officers, in how many ways can the committee be formed?
Answers:
A) 4500
B) 3500
C) 4800
D) 5400
E) 2400

Solution: Choose 3 senior from 10 senior and choose 2 junior from 10 junior:   10C3 * 10C2 = 120*45= 
120*45 = 5_400
5400   Ans: 5400
Answer: D
Can Z and can В are both right circular cylinders. The radius of can Z is twice the radius of can B, while the height of can Z is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can Z with the same brand of gasoline?  Choices
A) $1  B) $2  C) $4  D) $8  E) $16

Solution: Let x be the radius of b and 2h be the height of B. Therefore, radius of Z = 2x and height = h   Vol of b = 3.14*x^2*2h   Vol of a = 3.14*4x^2*h   cost to fill half of B = $4 --> cost to fill full B = $8   --> 3.14*x^2*2h = 8 --> 3.14*x^2*h = 4 --> 4*(3.14*x^2*h) = $16   Ans $16
Answer: E
If annual decrease in the population of a town is 5% and the present number of people is 40000 what will the population be in 2 years?	Options:
A) 24560
B) 26450
C) 36100
D) 38920
E) 45200

Solution: Population in 2 years = 40000(1 - 5/100)^2 = 40000*19*19 / 20*20 = 36100   Answer is 36100
Answer: C
In Town P, 60 percent of the population are employed, and 45 percent of the population are employed males. What percent of the employed people in Town P are females?
Pick:
A) 20%
B) 25%
C) 30%
D) 35%
E) 40%

Solution: The percent of the population who are employed females is 60-45= 
60-45 = 15
15%   The percent of employed people who are female is 15% / 60%= 25%.   The answer is 25%.
Answer: B
If 12 ounces of a strong vinegar solution are diluted with 48 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution?
Choose the correct choice from the following.
A) 15%  B) 18%  C) 20%  D) 21%  E) 24%

Solution: Let x be the concentration of the original solution.   12x = 0.03(60)   x = 0.15   The answer is 15%.
Answer: A
The ratio of the present age of Sandy to that of Molly is 7:2. Twelve years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago? Choose the most appropriate option.
A) 39 B) 45 C) 51 D) 57 E) 63

Solution: Let the present age of Sandy be 7x years and that of Molly be 2x years.   (7x + 12) / (2x + 12) = 5 / 2   4x = 36   x = 9   Six years ago, Sandy's age was 7(9) - 6 = 57   The answer is 57.
Answer: D
Point (c,d) is on the circle represented by x^2+y^2=10, and c, d are integers. How many such points are possible?  Choose the correct choice from the following options
A) 0	B) 2	C) 4	D) 6	E) 8

Solution: c^2+d^2=10 and c, d are integers means that 10 is the sum of two perfect squares.   10 is the sum of only one pair of perfect squares 1 and 9.   So, there can be 8 such points, 4 in each quadrant:   (1, 3);   (1, -3);   (-1, 3);   (-1, -3);   (3, 1);   (3, -1);   (-3, 1);   (-3, -1).   Answer: 8.
Answer: E
A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country X. If calls to country X are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country X in a certain month?
Choose the correct option:
A) $8.75 B) $12 C) $13.40 D) $17.40 E) $24.40

Solution: Discount = 40% of spending   We want to maximise discount so we will need to maximise spending. We do that by assuming that 60 calls were made of 1 min each because the first minute is the most expensive.   Max discount = (40/100)* 60 * 1.6 = (40/100)*96   This would be slightly less than 40. About 38 to 39.   Saving = (Slightly less than 40) - 25 = Slightly less than 15 charged in X country   Answer ($13.40)
Answer: C
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 5 screws and 1 nails?
Choose the correct choice from the following answers.
A) a. 4 B) b. 5/2 C) c. 2 D) d. 3/2 E) e. 5/4

Solution: let the weight of nail be n and that of screw be s..   so s+w=1/2 * (6s+1n)...   or 1n = 4s..   lets see the weight of 3 s and 3n= 3s+3*4s=15s..   and weight of 5s and 1n3 +3*4= 
3 +3*4 = 15
15s..   and weight of 5s and 1n= 5s+1*5s=10s..   ratio5 +1*5= 
5 +1*5 = 10
10s..   ratio= 15s/10s=15/10=3/2   d. 3/2
Answer: D
What is 15% of 2/3 of 0.5?  Pick
A) 0.05	B) 0.9	C) 9	D) 90	E) None of the above

Solution: The best way to solve these questions is to convert every term into fraction   (15/100)*(2/3)*(5/10) = 150/3000= 
150/3000 = 1/20 = around 0.05
0.05   Option 0.05
Answer: A
A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?  Choose one: A) 2 litres B) 3 litres C) 5 litres D) 7 litres E) 8 litres

Solution: Quantity of milk in the mixture = 90/100 (70) = 63 litres.   After adding water, milk would form 87 1/2% of the mixture.   Hence, if quantity of mixture after adding x liters of water,   (87 1/2) / 100 x = 63 => x = 72   Hence 72 - 70= 
72 - 70 = 2
2 litres of water must be added.   2 litresnswer:2 litres
Answer: A
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?	Answers:
A) 298
B) 150
C) 2776
D) 1888
E) 177

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 100)/25 = x/15 => x = 150 m.   Answer:150
Answer: B
we have 3 weights one of 2 kg one of 3 kg one of 5 kg by using only two weight how many wight u can weight
Pick
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: select 2 weight out of 3, 332=3   ANSWER:3
Answer: C
shopkeeper bought 400 meter cloths at rs 40,000 and sell at 200 rs per one and half mtr cloths. what is the gain or loss percent?  Choose the correct choice from the following options:
A) 34.33% Profit  B) 33.33% Profit  C) 36.33% Profit  D) 39.33% Profit  E) 43.33% Profit

Solution: 400 mtr -- 40000   1 1/2 mtr -- ?     3/(2*400) * 40000= 
  3/(2*400) * 40000 = 150
150rs   So he has bought 1 1/2 metres at 150 rs nd going to sold at 200 rs   So Gain= 200 - 150= 
200 - 150 = 50
50   Gain %= 50 * 100 /150   => 5000/150 = 33.33%   ANSWER:33.33% Profit
Answer: B
Which of the list following is a prime number ? Choose the most appropriate option:
A) 29
B) 81
C) 91
D) 93
E) 10

Solution: A   29   Clearly, 29 is a prime number.   29nswer is 29
Answer: A
A fast train takes 3 hours less than a slow train for a journey of 600 km, If the speed of the slow train is 10 km/hr less than that of the fast train, the speeds of the two trains are  Answers:  A) 60 km/hr and 70 km/hr  B) 50 km/hr and 60 km/hr  C) 40 km/hr and 50 km/hr  D) None of these  E) 30 km/hr and 40 km/hr

Solution: =600/x - 600/x+10 = 3/1   Solving this, we get x = 40   Answer: 40 km/hr and 50 km/hr.
Answer: C
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses E at the restaurant? (Assume that all boxes are filled to capacity.)	Pick:
A) 96
B) 240
C) E=256
D) E=384
E) E=480

Solution: Most Test Takers would recognize thesystemof equations in this prompt and just do algebra to get to the solution (and that's fine). The wording of the prompt and the 'spread' of the answer choices actually provide an interesting 'brute force' shortcut that you can take advantage of to eliminate the 4 wrong answers....   We're told that there are 2 types of boxes: those that hold 12 glasses and those that hold 16 glasses. Since the AVERAGE number of boxes is 15, we know that there MUST be at least some of each. We're also told that that there are 16 MORE of the larger boxes.   This means, at the minimum, we have...   1 small box and 17 large boxes = 1(12) + 17(16) = 12 + 272= 
12 + 272 = 284
284 glasses at the MINIMUM   Since the question asks for the total number of glasses, we can now eliminate Answers A, B and C....   The difference in the number of boxes MUST be 16 though, so we could have....   2 small boxes and 18 large boxes   3 small boxes and 19 large boxes   etc.   With every additional small box + large box that we add, we add   12+16= 
  12+16 = 28
28 MORE glasses. Thus, we can justadd 28suntil we hit the correct answer....   284+28= 
284+28 = 312
312   312+28= 
312+28 = 340
340   340+28= 
340+28 = 368
368   368+28= 
368+28 = 396
396   At this point, we've 'gone past' Answer D, so the correct answer MUST be Answer E.....But here's the proof....   396+28= 
396+28 = 424
424   424+28= 
424+28 = 452
452   452+28= 
452+28 = 480
480   Final Answer:   E=480
Answer: E
The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is	Choose the most appropriate option
A) 237 B) 154 C) 2376 D) 198 E) 171

Solution: Explanation:   The diameter is equal to the shortest side of the rectangle.   so radius= 14/2= 
14/2 = 7
7cm.   Answer: 154) 154
Answer: B
Ashok secured average of 76 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?  Pick one.
A) 38  B) 27  C) 99  D) 17  E) 86

Solution: Explanation:   Number of subjects = 6   Average of marks in 6 subjects = 76   Therefore total marks in 6 subjects = 76 * 6= 
76 * 6 = 456
456   Now, No. of subjects= 5   Total marks in 5 subjects = 74 * 5= 
74 * 5 = 370
370   Therefore marks in 6th subject= 456 – 370 = 86   ANSW86R: 86
Answer: E
In expressing a length of 25.461 km as nearly as possible with the three significant digits, find the percentage error  Select the correct option
A) 0.353%
B) 0.153%
C) 0.035%
D) 0.015%
E) None of these

Solution: Explanation:   Error = (25.5 - 25.461)= 
(25.5 - 25.461) = 0.039
0.039   Required percentage=   0.039/ 25.461Ã—100=0.153   Option 0.153%
Answer: B