MU-NLPC/Calc-aqua_rat huggingface dataset:
If y is an integer, then the least possible value of |32 - 7y| is  Choose the correct choice from the following choices.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: We know that 5y is a multiple of 7, so let’s first look at the multiples of 7 closest to 32. We have “28” and “35”. Let’s subtract both of these from 32 and see which one produces the smallest result. When 7y = 28, y is 4 and when 7y = 35, y is 5. Let’s start with letting y = 4.   |32-7(4)|   |32-28|   |4| = 4   Next, let’s let y equal 5.   |32-7(5)|   |32-35|   |-3| = 3   We see that the smallest possible value of |32-7y| is 3.   Answer 3.
Answer: C
A can do a piece of work in 4hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?	Choose the correct choice from the following options:
A) 8 hours
B) 10 hours
C) 12 hours
D) 24 hours
E) 30 hours

Solution: A's 1 hour work= 1/4   (B+C)'s 1 hour work= 1/3   (A+C)'s 1 hour work= 1/2   (A+B+C)'s 1 hour work= (1/4+1/3)=7/12   B's 1hour's work= (7/12-1/2)= 1/12   B alone will take 12 hours to do the work.   correct option is 12 hours
Answer: C
On dividing 17698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor? Choose one:
A) 199 B) 154 C) 852 D) 741 E) 785

Solution: Divisor *quotient+remainder=dividend   divisor=(dividend)-(remainder)/quotient   (17698-14)/89=199   199nswer(199)
Answer: A
In a bag, there are two 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?	Choose the correct choice
A) 60
B) 50
C) 42
D) 84
E) 61

Solution: As 'complex-looking' as this question might appear, it's actually rather simple. Pay careful attention to what the specific questions asks for - the number of DIFFERENT possible SUMS from 4 dice. Since we're dealing with some 'special' dice (some 12-sided and 20-sided dice), we have to adjust out math accordingly, but the possibilities are rather limited:   1) The minimum number on any given die is 1   2) The maximum possible sum would only occur if we took the 4 biggest possible dice and rolled the highest possible number on each.   With 4 dice, we could end up with any SUM between:   4 (if we rolled 1s on all 4 dice)   to   64 (if we rolled two 20s on the 20-sided dice and two 12s on the 12-sided dice).   Thus, there are only 61 possible sums.   61
Answer: E
A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
Choose the correct answer.
A) 3377
B) 1500
C) 2887
D) 1778
E) 1221

Solution: Let the sum lent to C be Rs. x. Then,   (2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120   7/25 x = (1120 - 700) => x = 1500   Answer: 1500
Answer: B
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 22 years. What is the age of Deepak at present?
Choose the correct answer: A) 12 years B) 15 years C) 66 years D) 88 years E) 55 years

Solution: Let the present ages of Arun and Deepak be 4x and 3x years respectively.   Then, 4x + 6 = 22 => x = 4   Deepak's age = 3x = 12 years.   12 yearsnswer: 12 years
Answer: A
How many numbers from 29 to 79 are exactly divisible by 11?	Choose the correct choice from the following
A) 5  B) 7  C) 9  D) 11  E) 12

Solution: Option '5'   29/11 = 2 and 79/11 = 7 ==> 7 - 2= 
7 - 2 = 5
5 Numbers
Answer: A
In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 5 ?  Choices
A) âˆ’9/2	B) -1	C) -3	D) 4	E) 9/2

Solution: 2x - cy = 18   x=6, y=2;   12-2c=18   c=-3   2x-cy=18   when y=5, c=-3, x=   x=9/2   ANSWER:-1
Answer: B
the age of a and b are in the ratio 4:5 and of b and c in the ratio 3:2.the youngedt of three is  Choose the correct choice from the following answers:
A) a  B) b  C) c  D) can't say  E) none

Solution: a:b => 4:5 3*(a:b)=> 12:15   b:c=>3:2 5*(b:c)=> 15:10   a:b:c =>12:15:10   Therefore youngest is c.   ANSWER:c
Answer: C
Average of first five multiples of 5 is
Options.
A) 9 B) 11 C) 13 D) 15 E) 17

Solution: Explanation:   Average=5(1+2+3+4+5) / 5=75 / 5= 
75 / 5 = 15
15   Option 15
Answer: D
5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the resu lt will not be 2 blue and 2 purple marbles?	Choices
A) 4/33
B) (5/36)^2
C) 1/2
D) (31/36)^2
E) 29/33

Solution: Answer is 29/33.   The probability of 2 blue and 2 purple marbles selected is 5C2.4C2/12C4 =4/33.   Subtracting the above from 1 we get 29/33 29/33
Answer: E
A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.2500 for 6 months and C Rs.3000 for 3 months. If they get a total profit of Rs.3400. Find the share of A?	Choose the correct answer:  A) 2999  B) 3000  C) 1000  D) 2999  E) 17212

Solution: 4*5:5*6:6*3   20 : 30 : 18   20/68 * 3400= 
20/68 * 3400 = 1_000
1000   Answer:1000
Answer: C
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 30 sec. What is the length of the goods train?	Options.
A) 299 B) 277 C) 350 D) 270 E) 281

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 30 sec.   Let the length of the train be x meters.   Then, (x + 250)/30 = 20   x = 350m.   Answer: 350
Answer: C
The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 15 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view? Choose the correct choice from the following answers:
A) 1/6	B) 1/2	C) 2/3	D) 5/6	E) 17/18

Solution: priyalr   6 seats per row, think of a boeing 737. We have 30 rows, therefore window 30 seats one one side and 30 window seats on the other, totaling 60 window seats on the whole plane.   the view of the window of 15 rows is blocked. two wings, therefore 30 window seats are blocked.   Total window seats = 60   Total blocked window seats = 30   Total unblocked seats = 30   We know that a window seat was given, therefore probability for not window seat is 30/60 =1/2   ANS 1/2
Answer: B
A and B can do a piece of work in 10 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?	Options:
A) 33	B) 878	C) 30	D) 10	E) 11

Solution: C = 1/5 â€“ 1/10 = 1/10 => 10 days   Answer: 10
Answer: D
What is the square root of 16?  Select:
A) 8  B) 4  C) 35  D) 42  E) 86

Solution: 4X4= 16   ANSWER 4
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 option:
A) 11
B) 17
C) 16
D) 32
E) 10

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: D
In how many ways can 7 boys and 4 girls sit around a table in such a way that no two girls sit together?	Choose the correct answer
A) 695400
B) 625800
C) 685000
D) 615000
E) 604800

Solution: The 7 boys can be seated around a table in 6! Ways. In between them there are 7 places.   The 4 girls can be placed in the 7 places in 7P4 ways.   Therefore, Required number of ways= 6!* 7P4   =720 * 840= 
720 * 840 = 604_800
604800   ANSW604800R:604800
Answer: E
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 240 m long?	Select:
A) 40 sec	B) 42 sec	C) 45 sec	D) 48 sec	E) 50 sec

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 240= 
360 + 240 = 600
600 m   Required time= 600 * 2/25= 
600 * 2/25 = 48
48 sec   ANSWER:48 sec
Answer: D
If r and s are even integers, which of the following is an odd integer?  Choose the correct choice from the following answers:
A) rs + 2  B) r(s − 1)  C) r(r + 5)  D) 3r + 4s  E) (r + 3)(s − 1)

Solution: If r and s are even integers, then:   A. rs + 2: even + even = even   B. r(s − 1): even(odd) = even   C. r(r + 5): even(odd) = even   D. 3r + 4s: even + even = even   E. (r + 3)(s − 1): (odd)(odd) = odd.   Answer is (r + 3)(s − 1).
Answer: E
By selling 110 mangoes, a fruit-seller gains the selling price of 20 mangoes. Find the gain percent? Pick one:	A) 28.28%	B) 32.32%	C) 17.71%	D) 22.22%	E) 33.33%

Solution: SP = CP + g   110 SP = 110 CP + 20 SP   90 SP = 110 CP   90 --- 20 CP   100 --- ? => 22.22%   Answer: 22.22%
Answer: D
On three consecutive flips of a coin, what is the probability that all three produce the same result?  Choose the correct choice from the following:  A) 1/16  B) 1/8  C) 1/4  D) 3/8  E) 1/2

Solution: TTT case --> P = (1/2)^3 = 1/8.   HHH case --> P = (1/2)^3 = 1/8.   P(TTT or HHH) = 1/8 + 1/8 = 1/4.   Answer: 1/4.
Answer: C
Alex takes a loan of $4,000 to buy a used truck at the rate of 6 % simple Interest.Calculate the annual interest to be paid for the loan amount. Choose the correct answer
A) 680	B) 700	C) 240	D) 620	E) 260

Solution: From the details given in the problem Principle = P = $4,000 and R = 6% or 0.06 expressed as a decimal.   As the annual Interest is to be calculated, the time period T =1.   Plugging these values in the simple Interest formula,   I = P x T x R   = 4,000 x 1 x 0.06   = 240.00   Annual Interest to be paid = $240   answer :240
Answer: C
The area of a square is subtracted from one of its sides, and the perimeter is then added to this total, the result is 4. What is the length of one side? Select:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: The equation is; side - Area + Perimeter = s - A + P = s - s^2 + 4s = s(1 - s + 4).   By plugging in the answers we can test the answers quickly; then, 4 is the only possible answer.   1nswer: 1
Answer: A
If (b-5)(y+2) = 0 which of the following must be true? Select the correct option:  A) b = y  B) b > y  C) b < y  D) by = -10  E) None of the above

Solution: From (b-5)(y+2) = 0 it follows that either b=5 or y=-2.   (A) b = y --> not necessarily true. Consider b=5 and y=0.   (B) b > y --> not necessarily true. Consider b=5 and y=10.   (C) b < y --> not necessarily true. Consider b=5 and y=0.   (D) by = -10 --> not necessarily true. Consider b=5 and y=0.   Thus, none of the statements must be true.   Answer: None of the above.
Answer: E
Lena’s grade was in the 80th percentile out of 120 grades in her class. In another class of 200 students there were 24 grades higher than Lena’s. If nobody had Lena’s grade, then Lena was what percentile of the two classes combined? Choose the correct choice from the following answers:
A) 85	B) 90	C) 95	D) 100	E) 105

Solution: There were two tests. What is important is how many outscored her on both tests:   on the first test - 0.2*120 = 24   on the second test - 24   In total, 24 + 24 = 48 out of   120 + 200= 
  120 + 200 = 320
320 outscored Lena, and they represent 48/320= 15%. Therefore, Lena's score is in the 100 - 15= 
100 - 15 = 85
85th percentile.   85NSWER:85
Answer: A
In a business A receives 20% of the annual profit, and remaining is divided between B and C in the ratio 3 : 5, ratio of difference between the amount received by A and B out of annual profit is Rs.1200. What is C’s share in the annual profit ?  Choose the correct choice from the following answers: A) 4500 B) 5500 C) 5000 D) 5800 E) 6000

Solution: If A receives 20% of total profit.   B and C receives remaining 80%.   B : C = 3 : 5 = 30% : 50% respectively.   Difference B – A = 30% - 20% = 10% 30  - 20= 
30  - 20 = 10
10%= Rs.1200.   Total profit = 1200 / 10 × 100 = 12000   Share of C = 12000 × 50 / 100 = 6000   Option 6000
Answer: E
A city of 4000 has the rate of 25.4 per 2000 people moving into the town while 10.5 per 1000 move out. How long will take for the population to double.  Select the correct option.
A) 10.5  B) 30  C) 133.3  D) 100  E) 1.5

Solution: Annual increase is (2000 + 25.4 - 10.4)*2= 
(2000 + 25.4 - 10.4)*2 = 4_030
4030   Hence every year there is an increase of 30   for the population to double we needs additional 4000   therefore 4000/30=133.3   correct option is 133.3)
Answer: C
0.0008154/0.00205x16.5=?	Choices
A) 8.5
B) 6.6
C) 7.6
D) 6.4
E) 5.7

Solution: Explanation :   ? = 0.0008154/0.00205 x 16.5 = 6.6   Answer : Option 6.6
Answer: B
In an electric circuit, two resistors with resistances J and K are connected in parallel. In this case, if L is the combined resistance of these two resistors, then the reciprocal of L is equal to the sum of the reciprocals of J and K. What is L in terms of J and K? Select the correct option
A) J/K  B) K/J  C) J+K  D) JK/(J + K)  E) NONE OF THESE

Solution: The wording is a bit confusing, though basically we are told that 1/L= 1/J + 1/K, from which it follows that L=JK/(J + K).   Answer: JK/(J + K)
Answer: D
John and Steve are speed walkers in a race. John is 14 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push? Choose the correct choice from the following
A) 13 seconds
B) 17 seconds
C) 26 seconds
D) 32 seconds
E) 51 seconds

Solution: Let t be the time that John spent for his final push.   Thus, per the question,   4.2t = 3.7t+14+2 ---> 0.5t = 16 ---> t = 32 seconds.   32 seconds is the correct answer.
Answer: D
A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river.
They met at 500 yards away from A and after that they met 300 yards away from shore B without
halting at shores. Find the distance between the shore A & B	Choose the correct choice from the following answers: A) 1100 yards B) 1200 yards C) 1300 yards D) 1400 yards E) None of these

Solution: Explanation :   The boats first met after 500yards from A.   Let the total distance between A and B be x.   Then,   500/a = x - 500 / b, ------------(1)   where, a = speed of A,   b = speed of B.   Assuming both boats are coming back to their original start place without halting at the shores,   Distance coverred by A = x + 300   Distance covered by 1200 yards = 2x - 300   x+300/a = 2x-300/b -----------------------(2)   From above,   500/x-500 = x+300/2x-300   Solve, for x = 1200   Answer : 1200 yards
Answer: B
Aman started a business investing Rs. 50,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?	Pick one.
A) 120:105:118  B) 60:105:112  C) 12:105:110  D) 12:105:112  E) 60:105:111

Solution: Explanation:   Aman : Rakhi : Sagar = (50000 * 36) : (105000 * 30) : (140000 * 24)   = 60:105:112   Answer: 60:105:112
Answer: B
The average of ten numbers is X and the average of five of these is Y.If the average of the remaining five is z, then
Choose the correct choice from the following answers:
A) x = y+z
B) 2x = y+z
C) x = 2y+2z
D) none of the above
E) Cannot be determined

Solution: Explanation :   Clearly, we have x =(5y+5z/10)   or   2x = y + z   Answer : 2x = y+z
Answer: B
The line CD is parallel to AB and crosses the angle BOA so that O,B,D lie on the same line and so do O,A,C. If OA=2, AC=4 and BD=6, determine the length of OB.  Choose the correct choice from the following
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Solution:   The lines 3B and CD are parallel, so by the intersect theorem, we have   OB/BD=O3/3C, or OB=O3/3C.BD=2/4.6=3   3nswer 3
Answer: A
If a-b= 4 and a^2+b^2=80, find the value of ab Pick one
A) 10
B) 12
C) 15
D) 18
E) 32

Solution: 2ab = (a^2 + b^2) - (a - b)^2   = 80 - 16= 
80 - 16 = 64
64=> ab = 32   ANSW32R:32
Answer: E
A group of people participate in some curriculum, 30 of them practice Yoga, 25 study cooking, 15 study weaving, 6 of them study cooking only, 8 of them study both the cooking and yoga, 7 of them participate all curriculums. How many people study both cooking and weaving? Choose the correct choice from the following choices
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: Both cooking and weaving = 25 - (6+8+7)= 
25 - (6+8+7) = 4
4   So, the correct answer is 4.
Answer: D
In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?	Choose the correct choice from the following options:
A) 8
B) 16
C) 15
D) 14
E) 9

Solution: 1+2+3+4+5+6+7+8= 
1+2+3+4+5+6+7+8 = 36
36   so, 8 spots are occupied by users    23-8= 
 23-8 = 15
15,   ANSWER:15
Answer: C
A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than four times?  Pick one:
A) 37/256  B) 56/256  C) 65/256  D) 70/256  E) 93/256

Solution: More than 5 times tails = 6times +7times  +8= 
  +8 = 8
8C5 + 8C6 + 8C7 + 8C8= 93   2 2 2 2 2 2 2 2   2^8 times total events and 93 events where tails side up .   So probability = 93/2^8 = 93/256 (Answer 93/256)
Answer: E
An empty fuel tank is filled with brand Z gasoline. When the tank is 3/4 empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent of the gasoline in the tank is brand Z?
Choose the most appropriate option
A) 40%  B) 41%  C) 43.75%  D) 42%  E) 44%

Solution: Work with fraction of brand Z in the tank.   1st step: brand Z is 1   2nd step: brand Z is 1/2   3rd step: brand Z is (3/4)*(1/2) + 1/2 = 7/8   4th step: brand Z is (1/2)*(7/8) = 7/16 = 43.75%   Answer (43.75%)
Answer: C
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?  Choose the correct choice from the following choices.
A) 116.6	B) 116.68	C) 116.69	D) 116.66	E) 116.62

Solution: Let the cost of the brand be Rs. X per kg.   C.P. of 5 kg = (2 * 200 + 3 * x) = Rs. (400 + 3x)   S.P of 5 kg = Rs. (5 * 177) = Rs. 885   [885 - (400 + 3x)]/(400 + 3x) * 100 = 18   24250 - 150x = 3600 + 27x   177x = 20650 => x = 116 2/3   So, cost of the other brand = Rs. 116.66.Answer:116.66
Answer: D
Three years ago the average age of A and B was 18 years. with c joining them ,the average age become 22 years.how old is c?	Choose the correct choice from the following:
A) 26
B) 31
C) 24
D) 22
E) 27

Solution: Present age of A+B =(18*2+3*2)= 
(18*2+3*2) = 42
42 years   Present age of A+B+c=(22*3)= 
(22*3) = 66
66 years   24's age is= (66-42)= 
(66-42) = 24
24 years   Answer=24
Answer: C
9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 42 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?  Choose the correct choice from the following options:
A) 6
B) 7
C) 8
D) 12
E) 14

Solution: If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle.   Side 1 = 8 m/h --> 4 m in 1/2 hr   Side 2 = 10 m/h --> 5 m in 1/2 hr   to complete this right angle triangle   d^2 = 4^2 + 5^2   d^2 = 41   = ~ 6   6nswer option 6
Answer: A
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length? Choose the correct choice from the following answers.
A) 55 sec  B) 40 sec  C) 45 sec  D) 30 sec  E) 35 sec

Solution: T = (660 + 165)/54 * 18/5= 
(660 + 165)/54 * 18/5 = 55
55   55 secNSWER 55 sec
Answer: A
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1600. He sold both the items together for Rs. 31150. What percentage of profit did he make? Options
A) 70.00% B) 86.98% C) 76.99% D) 45% E) None of these

Solution: The total CP = Rs. 16000 + Rs. 1600 = Rs. 17600 and SP = Rs. 31150   Profit(%) = (31150 - 17600)/17600* 100 = 76.99%   ANSWER:76.99%
Answer: C
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 6.5 hours, then the distance covered at 40 kmph is
Choose the correct choice from the following answers:
A) 130 km	B) 120km	C) 100km	D) 280km	E) none of these

Solution: Let the partial distance covered at 40 kmph be X   Let the another partial distance covered at 60 kmph be (250 - x)   Thus, x/40 - (250 - x)/60 = 6.5   or, x/40 + (250 - x)/60 = 6.5   or, (3x + 500 - 2x)//120 = 6.5   or 500 + x = 780   x=280   ANSWER:280km
Answer: D
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A? Pick one:
A) 12  B) 81  C) 77  D) 66  E) 73

Solution: (12 + B) - (B + C) = 12   12 - C = 12   12nswer: 12
Answer: A
Walking at the rate of 4kmph a man cover certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.  Select the correct option
A) 12 min	B) 25 min	C) 40 min	D) 48 min	E) 58 min

Solution: Distance = Speed * time     4*11/4= 
  4*11/4 = 11
11km   New Speed= 16.5 kmph   Therefore time = D/S = 11/16.5 = 40min   Answer : 40 min.
Answer: C
Sam invested Rs. 5000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?	Select the correct option:
A) 500.2	B) 320.0	C) 220.5	D) 100.1	E) 230.2

Solution: P = Rs. 5000 ; R = 10% p.a. = 5% per half-year; T = 1 year   = 2 half-year   Amount = [5000* (1 + 5/100)2]   = (5000* 21/20 * 21/20)   = Rs.220.50   Answer:220.5
Answer: C
A circular mat with diameter 12 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choose one.
A) 5/12 B) 2/5 C) 1/5 D) 3/4 E) 5/6

Solution: SO we are looking for the area of the cloth over the area of the table   Area of the 1/5loth = (pi)(r)^2 which is about (3)(6)(6)   Area of the Table = (24)(24)   So the quick way to estimate is looking at the fraction like this: (3/24)(36/24)   I hope this is easy to follow, so with some simplification i get (1/8)(3/2) =3/16= (1/5) Answer is 1/5
Answer: C
A student got twice as many sums wrong as he got right. If he attempted 54 sums in all, how many did he solve correctly ?
Select the correct option.
A) 12 B) 16 C) 18 D) 24 E) 26

Solution: Explanation:   Suppose the boy got x sums right and 2x sums wrong.   Then, x + 2x = 54 3x = 54 x = 18.   Answer:18
Answer: C
A female student must answer 7 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 7 questions are available to the student? Choose the correct option
A) 100 B) 120 C) 140 D) 110 E) 150

Solution: as there is ONLY one possiblity of choosing 7 out of 10, while choosing less than 3 in first five   choose 2 in first 5 and all 5 from later half..   ways = 5C2 = 10..   total ways = 10C3 = 120   ans = 120-10= 
120-10 = 110
110   110
Answer: D