MU-NLPC/Calc-aqua_rat huggingface dataset:
There were two candidates in an election. Winner candidate received 54% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate? Choose the correct choice:
A) 776 B) 1944 C) 2199 D) 2157 E) 2125

Solution: W = 54% L = 46%   54% - 46% = 8%   8% -------- 288   54% -------- ?  54  - 46= 
 54  - 46 = 8
8%   8% -------- 288   54% -------- ?=> 1944   Answer:1944
Answer: B
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 400 m long?	Choose the correct choice from the following answers
A) 266 Sec	B) 160 Sec	C) 776 Sec	D) 166 Sec	E) 997 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1600 m   T = D/S   T = 1600/10= 
1600/10 = 160
160 Sec   Answer: 160 Sec
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?	Pick one:	A) 3/98	B) 2/28	C) 2/21	D) 2/29	E) 2/24

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³2/21₂/¹⁵2/21₂ = (3 * 2)/(15 * 14) = 1/35   Probability that both are yellow = ²2/21₂/¹⁵2/21₂ = (2 * 1)/(15 * 14) = 1/105   Probability that one blue and other is yellow = (³2/21₁ * ²2/21₁)/¹⁵2/21₂ = (2 * 3 * 2)/(15 * 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35   = 3/35 + 1/105 = 1/35(3 + 1/3)   = 10/(3 * 35) = 2/21   Answer:2/21
Answer: C
How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?	Choose the correct option:
A) 496  B) 486  C) 1084  D) 728  E) 628

Solution: The number of single digit numbers = 2   The number of 2 digit numbers = 2 × 3 = 6   The number of 3 digit numbers = 2 × 3 × 3 = 18   The number of 4 digit numbers = 2 × 3 × 3 × 3 = 54   The number of 5 digit numbers = 2 × 3 × 3 × 3 × 3 = 162   The number of 6 digit numbers = 2 × 3 × 3 × 3 × 3 × 3 = 486   Therefore, the total numbers = 728   ANSWER:728
Answer: D
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Choose the correct choice from the following choices:	A) 10 / 21	B) 11 / 21	C) 2 / 7	D) 5 / 7	E) 6 / 7

Solution: Total number of balls = (2 + 3 + 2)= 
(2 + 3 + 2) = 7
7.   Let S be the sample space.   Then, n(S)= Number of ways of drawing 2 balls out of 7   = 7C2 `   =(7 x 6)/(2 x 1)   = 21.   Let E = Event of drawing 2 balls, none of which is blue.   n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.= 5C2 =	(5 x 4)/(2 x 1) = 10.   P(E) =	n(E)/n(S)	=	10/21   10 / 21nswer: 10 / 21.
Answer: A
There are 750 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?  Choose the correct choice from the following answers: A) 150 B) 135 C) 160 D) 125 E) None

Solution: Explanation :   Let m be the number of male participants and f be the number of female articipants in the meeting.   Thetotal number of participants is given as 750.   Hence, we have m+f= 750   Now, we have that half the female participants and one-quarter of the male participants are   Democrats.   Let d equal the number of the Democrats.   Then we have the equation f/2 + m/4 =d   Now, we have that one-third of the total participants are Democrats. Hence, we have the equation   => d = 750/3= 
750/3 = 250
250   Solving the three equations yields the solution=> f = 250,m= 500, and d= 250.   The number of female democratic participants equals half the female participants equals   => 250/2= 
250/2 = 125
125.   Hence (D) is the correct answer.   Answer : 125
Answer: D
On the first day of her vacation, Louisa traveled 100 miles. On the second day, traveling at the same average speed, she traveled 175 miles. If the 100-mile trip took 3 hours less than the 175-mile trip, what was the average speed, in miles per hour?	Choices.
A) 27
B) 28
C) 25
D) 30
E) 35

Solution: (time)*(rate) = (distance)-->(rate) = (distance)/(time)--> given:(rate) = 100/t = 175/(t+3)-->4/t = 7/(t+3)-->4t+12=7t ---->3t= 12 . t= 4 ---->(rate ) = 100/4= 
100/4 = 25
25   Answer: 25
Answer: C
The instructions state that Cheryl needs 5/11 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 25/55 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?	Choose the most appropriate option.
A) 1/12	B) 1/9	C) 1 2/3	D) 2/3	E) 2 1/9

Solution: total bought = 5/11+2/3   left part 25/55--->5/11   so used part 5/11+2/3-5/11=2/3   Ans 2/3
Answer: D
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams. Find the profit percent. Options:
A) 1.05
B) 1.06
C) 1.01
D) 1.08
E) 1.09

Solution: Explanation:   (100 + g) / (100 + x) = True measure / Faulty measure   x = 0   true measure = 1000   faulty measure = 990   100 + g / 100 + 0 = 1000 / 990   100+g = 100/99*100   g = 1.01   ANSWER: 1.01
Answer: C
In the recent, science conference in New York, out of 400 men, 1100 women, 300 children present inside the building premises, 40% of the men, 30% of the women and 20% of the children were Indians. Find the percentage of people who were Indian?  Choose the correct choice from the following choices
A) 37.22%  B) 28.66%  C) 34.55%  D) 33.55%  E) 30.55%

Solution: Solution: Number of Indians men present there = 400*40/100= 
400*40/100 = 160
160   Indian women= 1100*30/100= 
1100*30/100 = 330
330   Indian children= 300*20/100= 
300*20/100 = 60
60.   Total member present in science conference= 400+1100+300= 
400+1100+300 = 1_800
1800   Total Indian= 160+330+60= 
160+330+60 = 550
550   Hence, % of Indian present there= 550*100/1800 = 30.55%   Answer 30.55%
Answer: E
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? Select.
A) 9%	B) 6%	C) 4%	D) 2%	E) 1%

Solution: 150 = (750*5*R)/100   R = 4%   Answer: 4%
Answer: C
On a purchase of $127, a store offered a payment plan consisting of a $27 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?	Choose the correct choice from the following answers:
A) 18.3% B) 15.3% C) 21.3% D) 22.3% E) 25.3%

Solution: 12*10 + 27= 
12*10 + 27 = 147
147   (27/127)* 100= 21.3   Answer : 21.3%
Answer: C
A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt?	Choices:
A) 680rs	B) 540rs	C) 480rs	D) 640rs	E) 280rs

Solution: area of theplot = 110 * 65= 
110 * 65 = 7_150
7150 sq m   area of the plot excluding the path= (110-5)* (65-5)= 
(110-5)* (65-5) = 6_300
6300 sq m   area of the path= 7150 - 6300= 
7150 - 6300 = 850
850 sq m   cost of gravelling the path= 850 * 80/100= 
850 * 80/100 = 680
680 Rs   680rsnswer: 680rs
Answer: A
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 4320 interest. The principal amount borrowed by him was.
Choose the correct choice from the following answers: A) Rs 14000 B) Rs 15000 C) Rs 12000 D) Rs 17000 E) None of these

Solution: Explanation:   S.I.=Pâˆ—Râˆ—T/100   =>P=S.I.âˆ—100/Râˆ—T   =>P=4320âˆ—100/12âˆ—3=Rs12000   Option Rs 12000
Answer: C
Walking 7/6 of his usual rate, a boy reaches his school 3 min early. Find his usual time to reach the school?
Choose the correct choice from the following answers:
A) 21  B) 28  C) 99  D) 77  E) 66

Solution: Speed Ratio = 1:7/6 = 6:7   Time Ratio = 7:6   1 -------- 7   3 --------- ?   = 21 m   21nswer:21
Answer: A
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 4 hours and machine Y produces k bottles in 5 hours. How many hours does it take machines X and Y , working simultaneously , to produce 10k bottles? Options:
A) 8 2/3  B) 12 5/3  C) 15  D) 18  E) 22 2/9

Solution: x rate = k/4   y rate = k/5   k/4 + k/5 = 10k / T   solving T = 200/9 = 22 (2/9)   Answer 22 2/9
Answer: E
How many pairs of letters are there in the word INSTITUTE which have as many letters between them in the word as in the English alphabet?
Choose the correct choice from the following options
A) 6  B) 2  C) 1  D) 3  E) 7

Solution: N _ _ _ _ _T   ST   TU   so total= 3   ANSWER:3
Answer: D
P, Q and R can do a work in 6 , 9 and 12 days respectively. They completed the work and got Rs.195. What is the share of P?
Answers.
A) 80  B) 70  C) 85  D) 90  E) 95

Solution: The ratio of their working rates = 1/6 : 1/9 : 1/12 = 6 : 4 : 3.   Since, they work together, the share of P   = 6/13 * 195 = Rs.90   Answer: 90
Answer: D
A table is bought for Rs.500/- and sold at Rs.600/- find gain or loss percentage  Pick one.
A) 25% gain
B) 20% gain
C) 20% loss
D) 15% gain
E) None

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (600 - 500)/500 = 20% gain   20% gain
Answer: B
There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Options:
A) 1620
B) 1820
C) 2060
D) 2440
E) 2680

Solution: 10C2 * 9C2 = 45*36= 
45*36 = 1_620
1620   The answer is 1620.
Answer: A
How many odd integers S between 200 and 600 are there such that their tens digit is even? Choose the correct choice from the following options:
A) 20
B) 25
C) 100
D) 150
E) 200

Solution: The hundreds digit can take 4 values: 2, 3, 4 and 5;   The tens digit can take 5 values: 0, 2, 4, 6 and 8;   The units digit can take 5 values: 1, 3, 5, 7 and 9;   Total S:  4*5*5= 
 4*5*5 = 100
100.   Answer: 100.
Answer: C
A bus takes 2 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/2th of the previous time? Choose the most appropriate option.
A) 50 Kmph B) 60 Kmph C) 36 Kmph D) 25 Kmph E) 70 Kmph

Solution: Time = 2   Distance = 180   5/2 of 2 hours = 2 * 5/2= 
2 * 5/2 = 5
5 Hours   Required speed= 180/5= 
180/5 = 36
36 Kmph   36 Kmph
Answer: C
The L.C.M. of 2 numbers is 100. The numbers are in the ratio 4:1. Find their product?  Choose the correct choice:	A) 1200	B) 2000	C) 2500	D) 3200	E) 1250

Solution: Let the numbers be 4x and x   L.C.M. = 4x   4x = 100   x = 25   The numbers are = 100 and 25   Required product = 100*25= 
100*25 = 2_500
2500   Answer is 2500
Answer: C
A 14% stock yielding 10% is quoted at :  Select the correct option
A) 83.33 B) 110 C) 112 D) 140 E) 160

Solution: Solution   To earn Rs. 10, money invested = Rs. 100.   To earn Rs. 14, money invested = Rs.(100/10X14) = Rs. 140.   âˆ´ Market value of Rs. 100 stock =Rs. 140   Answer 140
Answer: D
A salesman's income consists of a commission and a base salary of $400 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
Pick one
A) $150	B) $245	C) $365	D) $315	E) $730

Solution: Total weekly income over 5 weeks=$406+$413+$420+$436+$395=$2070   For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks406+ 413+ 420+ 436+ 395= 
406+ 413+ 420+ 436+ 395 = 2_070
$2070   For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks=$3500   Now, $3500-$2070=$1430   From this, we subtract base salary for 2 weeks i.e $350*2= 
350*2 = 700
$700   Therefore, commission=$1430-$800=$630 for 2 weeks   Avg weekly commission1430- 800= 
1430- 800 = 630
$630 for 2 weeks   Avg weekly commission=$315   Answer $315
Answer: D
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Choose the correct choice from the following answers.
A) 227  B) 277  C) 266  D) 150  E) 881

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 15 => y = x/15   x + 100 / 25 = x / 15   x = 150 m.   Answer: 150
Answer: D
The average (arithmetic mean) of four numbers is 4x + 3. If one of the numbers is x, what is the average of the other three numbers? Choose the correct option
A) x + 1
B) 3x + 3
C) 5x + 1
D) 5x + 4
E) 15x + 12

Solution: If the average of four numbers is 4x + 3, then the sum of all four numbers if 4 * (4x + 3) = 16x + 12. If one of the numbers is x, then the average of the remaining three numbers would be: (16x + 12 - x)/3 = (15x + 12)/3 = 5x + 4.   Answer is 5x + 4.
Answer: D
What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?  Pick: A) Rs. 560 B) Rs. 560.75 C) Rs. 551.25 D) Rs. 550 E) Rs. 560

Solution: Explanation:   Present worth of Rs. x due T years hence is given by   Present Worth (PW) = x/(1+R/100)T   Let x be the annual payment   Then, present worth of x due 1 year hence + present worth of x due 2 year hence = 1025   x(1 + 5/100)1 + x(1 + 5/100)2 = 1025 x/(21/20) + x/(21/20)2 = 1025   20x/21 + 400x/441 = 1025   820x/441 = 1025   x = (1025 × 441)/820   = (205 × 441)/164   = Rs. 551.25   Answer: Option Rs. 551.25
Answer: C
You are renting an apartment and you need √676 for each side, how many feet are you looking to measure?
Choices.
A) 21  B) 22  C) 23  D) 24  E) 26

Solution: Try filling the numbers into the answer y x y =   Find the closest to 676.   Answer 26
Answer: E
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Select:
A) 1.25% B) 3.75% C) 6.25% D) 6.67% E) 11.7%

Solution: 10000 gallons solution has   500 gallons sodium chloride   9500 gallons water   => 2500 gallons water evaporates   => 7000 gallons water remains   hence, concentration of sodium chloride is 500/7500 = 6.67%   ANSWER:6.67%
Answer: D
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at
Answers.
A) 6 %	B) 6.1 %	C) 6.2 %	D) 6.3 %	E) 6.4 %

Solution: Income from $ 4000 at 5 % in one year = $ 4000 of 5 %.   = $ 4000 × 5/100.   = $ 4000 × 0.05.   = $ 200.   Income from $ 3500 at 4 % in one year = $ 3500 of 4 %.   = $ 3500 × 4/100.   = $ 3500 × 0.04.   = $ 140.   Total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340.   Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340.   = $ 160.   Total invested amount = $ 4000 + $ 3500 = $7500.   Remaining invest amount = $ 10000 - $ 7500 = $ 2500.   We know that, Interest = Principal × Rate × Time   Interest = $ 160,   Principal = $ 2500,   Rate = r [we need to find the value of r],   Time = 1 year.   160 = 2500 × r × 1.   160 = 2500r   160/2500 = 2500r/2500 [divide both sides by 2500]   0.064 = r   r = 0.064   Change it to a percent by moving the decimal to the right two places r = 6.4 %   Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year.   The answer is (6.4 %)
Answer: E
The radius of a semi circle is 4.8 cm then its perimeter is? Choose the correct choice from the following answers: A) 32.51 B) 32.4 C) 32.1 D) 32.92 E) 24.69

Solution: 36/7 r = 4.8 = 24.69   Answer:24.69
Answer: E
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A. 35, 25 kmph	Choose one
A) 76 kmph
B) 40 kmph
C) 29 kmph
D) 26 kmph
E) 12 kmph

Solution: Speed downstream = 60 + 20= 
60 + 20 = 80
80 kmph   Speed upstream= 60 - 20= 
60 - 20 = 40
40 kmph   Answer: 40 kmph
Answer: B
Set C is composed of nine numbers, labeled C1 through C9. Set D is also composed of nine numbers, labeled D1 through D9. Set D is defined as follows: D1 = 1 + C1; D2 = 2 + C2; and so on, including D9 = 9 +C9. How much larger is the sum of set D's mean and range than the sum of set C's mean and range?  Choices: A) 12 B) 6 C) 8 D) 4 E) cannot be determined

Solution: Yes, the correct answer is cannot be determined
Answer: E
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Select
A) 16.12% B) 16.66% C) 16.56% D) 17.66% E) 18.1%

Solution: Increase = (10/60)*100 = (1/6)*100 = 16.66%.   16.66%
Answer: B
A teacher prepares a test. She gives 7 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 5 have 4 choices.	Choose the correct choice from the following answers:	A) 4255	B) 5280	C) 1920	D) 1000	E) 4144

Solution: Two cases.   First Case: 2 Questions - 3 Choices, 2 Questions - 4 Choices   2C2 * 5C2 ways to select the questions   3C1 * 3C1 * 4C1 * 4C1 ways to answer the questions   = 1 * 10 * 3 * 3 * 4 * 4= 
1 * 10 * 3 * 3 * 4 * 4 = 1_440
1440   Second Case: 1 Question - 3 Choices, 3 Questions - 4 Choices   2C1 * 5C3 ways to select the questions   3C1 * 4C1 * 4C1 * 4C1 ways to answer the questions= 2 * 10 * 3 * 4 * 4 * 4= 
2 * 10 * 3 * 4 * 4 * 4 = 3_840
3840   Total= 3840 + 1440= 
3840 + 1440 = 5_280
5280   5280
Answer: B
In how many ways a team of 11 must be selected a team 5 men and 11 women such that the team must comprise of not more than 3 men.  Pick
A) 22399
B) 2256
C) 2700
D) 279078
E) 2911

Solution: Maximum 3 men can be played which means there can be 0, 1, 2, 3 men in the team.   (5C0×11C11)+(5C1×11C10)+(5C2×11C9)+(5C3×11C8)=2256(5C0×11C11)+(5C1×11C10)+(5C2×11C9)+(5C3×11C8)=2256   Answer:2256
Answer: B
Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 90 percent. At the same time, it decreased its total working hours by 5 percent. By what percent did this factory increase its output per hour?
Select the correct option
A) 200 B) 100 C) 300 D) 400 E) 500

Solution: Lets assume the initial production was 100 litres of beer for 100 hr.   With the 90% increase the total amount of beer production will be 190 litres and with 5 % decrease in total hours will be reduced to 95 hr.   100hr ----> 100 lts   1hr -----> 1 lts   95hr -----> 190 lts   1hr -----> 2 lts   Total Increase in production for 1 hr = 200%   200nswer 200
Answer: A
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Select:  A) 6400  B) 2388  C) 3777  D) 2992  E) 2781

Solution: Explanation:   Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).   Then,   => 28x - 22x = 350800 - (13900 x 22)   => 6x = 45000   => x = 7500.   So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.   6400nswer: 6400) Rs.6400
Answer: A
In how many ways Chief Minister and Minister be elected from a team of 10 members? Pick.
A) 128  B) 90  C) 132  D) 143  E) 145

Solution: To do this, if captain is elected first, then we have 10 ways of doing this.   For election of vice-captain, we have only 9 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)   So, the ans is 10*9= 
10*9 = 90
90 ways.   Answer : 90
Answer: B
Elena purchased Brand X pens for $4.00 apiece and brand Y for $2.80 apiece. If Elena purchased a total of 12 of these pens for $40.00, how many brand X pens did she purchase? Select.
A) 4  B) 5  C) 6  D) 7  E) 8

Solution: 4x+2.8y=42 --> multiply by 2.5 (to get the integers) --> 10x+7y=105 --> only one positive integers solutions x=8 and y=5 (how to solve: 7y must have the last digit of 5 in order the last digit of the sum to be 5).   Answer: 8.
Answer: E
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake?
Choices.
A) 0.125% B) 1.25% C) 31% D) 125% E) 0.152%

Solution: 9.18x+5.17x+2.05x = 16.4x 9.18 +5.17 +2.05= 
9.18 +5.17 +2.05 = 16.4
16.4x= 148 cookies   x= 148/16.4 = 9 (approx)   So, Ingrid baked 9*5.17 cookies or 46 cookies (approx)   % share = 46/148 = 31 approx   Hence, answer is 31%.
Answer: C
Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?	Choose the correct choice from the following answers: A) 11. B) 12. C) 13. D) 18. E) 14.5

Solution: Price of candy before price increase= 10/1.25= 
10/1.25 = 8
8   Price of soda before price increase= 15/1.5= 
15/1.5 = 10
10   Total price= 8+10= 
8+10 = 18
18   18. is the answer
Answer: D
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?	Answers.
A) 3.9 hrs  B) 2.8 hrs  C) 3.7 hrs  D) 7.2 hrs  E) 2.5 hrs

Solution: Net part filled in 1 hour = (1/4 - 1/9) = 5/36   The cistern will be filled in 36/5 hrs i.e., 7.2 hrs.   Answer: 7.2 hrs
Answer: D
The ratio between the length and the breadth of a rectangular park is 4 : 1. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?	Pick one.
A) 1024545 m	B) 134561 m	C) 156787 m	D) 15450 m	E) 102400 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 4x metres and breadth = 1x metres.   Then, 2(4x + 1x) = 1600 or x = 160.   Length = 640 m and Breadth = 160 m.   Area = (640 x 160) m2 = 102400 m   102400 m
Answer: E
Look at this series: 201, 202, 204, 207, ... What number should come next?
Pick one
A) 234	B) 134	C) 351	D) 211	E) 413

Solution: 211   211   In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.
Answer: D
How many diagonals does a polygon with 19 sides have, if one of its vertices does not connect to any diagonal?
Select the correct option
A) 135  B) 125  C) 120  D) 110  E) 140

Solution: If I calculate it using the formulae, #diagonals = n (n-3)/2Each vertex sends of n-3 diagonals   n= 19-1 then 18*(18-3)/2= 
18*(18-3)/2 = 135
135   Correct Option:	135
Answer: A
A car covers a distance of 624 km in 6 ½ hours. Find its speed?
Choose the correct choice from the following answers.
A) 104 B) 277 C) 298 D) 269 E) 213

Solution: 624/6= 
624/6 = 104
104 kmph   104nswer:104
Answer: A
Today is Thursday. The day after 53 days will be?
Choose the correct choice from the following choices.
A) Monday B) Tuesday C) Saturday D) Sunday E) wednesday

Solution: Explanation:   53 days = 7 weeks 4 days = 4 odd days   Hence if today is Thursday, Mondayfter 53 days, it will be = (Thursday + 4 odd days)   = Monday   Mondaynswer: Option Monday
Answer: A
The sum of ages of 5 children born at the intervals of 3 years each is 80 years. What is the age of the youngest child? Pick.
A) 3 years  B) 4 years  C) 6 years  D) 7 years  E) 10 years

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) = 80   5x = 50   x = 10.   Age of the youngest child = x = 10 years.   10 years)
Answer: E
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?	Choose the correct choice from the following answers: A) 1/3 B) 1/8 C) 1/2 D) 1/5 E) 1/9

Solution: 3h = 5c   6c = 10s   1/3 = 21h*3 + 15c*2   = 63h + 30c   = 105c + 30c = 135c   B 105  + 30= 
105  + 30 = 135
135c   B= 15c*6 + 40s*7 1/2   = 90c + 300s   = 90c + 180c = 270c   1/3:B 90  + 180= 
90  + 180 = 270
270c   1/3:B= 135:270   27:52   1/3 = 27/79 = 1/3   1/3nswer:1/3
Answer: A