MU-NLPC/Calc-aqua_rat huggingface dataset:
a, b, c, d, and e are positive consecutive odd integers and a < b < c < d < e.
If the sum of a+c+e is four less than the square of b, what is the product of de?
Choose the correct choice from the following answers.
A) 25  B) 35  C) 53  D) 99  E) 143

Solution: a+c+e = bb - 4   Because we know the numbers are consecutive odd integers, we can rewrite the list as versions of the first number:   b = a+2   c = a+4   d = a+6   e = a+8   Therefore we can rewrite the original problem: a+(a+4)+(a+8) = (a+2)(a+2) - 4   Simplify: 3a + 4 + 8 = (aa + 4a + 4) - 4   Simplify: 3a + 12 = aa + 4a   Swap (just switch the sides in their entirety): aa + 4a = 3a + 12   Separate the number from the variables: aa + 4a - 3a = 12   Simplify: aa + a = 12   So the square of a, plus another a, equals 12. We can try out a few numbers quickly:   1x1 = 1, +1 = not 12   5x5 = 25, +5 = not 12   3x3 = 9, +3 = there we go!   So a = 3, and the sequence of consecutive odd numbers is 3, 5, 7, 9, 11.   The answer is the product of the last two numbers: 9x11 = 99 (option 99).
Answer: D
The Average of 11 results is 16, if the average of the 1st 6 results is 58 & that of the last 63. Find the 6th result. Select the correct option:	A) 66	B) 55	C) 44	D) 77	E) 88

Solution: 6th result = (58*6+63*6-60*11)= 
(58*6+63*6-60*11) = 66
66   66nswer is 66.
Answer: A
Andrew started saving at the beginning of the year and had saved $200 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?
Choices.
A) 11% B) 25% C) 44% D) 56% E) 70%

Solution: Percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year.   Percentage Change = ( Change in value / Original value ) * 100   Percentage Change = [ (Saving in 2nd year - Saving in 1st year ) / Saving in 1st year ] * 100   Saving in 2nd year + Saving in 1st year = 540   Saving in 2nd year + 200 = 540   Saving in 2nd year = 540 - 200= 
540 - 200 = 340
340   Change in Value= 340 - 200= 
340 - 200 = 140
140   Original Value= 200   Percentage Increase = (140 / 200 ) * 100= 
(140 / 200 ) * 100 = 70
70% ..... Answer 70%......
Answer: E
Find the number of different ways in which 7^11 can be expressed as the product of three factors Choose the correct choice from the following options:
A) 13
B) 14
C) 15
D) 16
E) 17

Solution: let 7^11=7^x*7^y*7^z   then possible triplets of (x,y,z)   (0,0,11)(0,1,10)(0,2,9)(0,3,8)(0,4,7)(0,5,6)   (1,1,9)(1,2,8)(1,3,7)(1,4,6)(1,5,5)   (2,2,7)(2,3,6)(2,4,5)   (3,3,5)(3,4,4)   so number of different ways=16   ANSWER:16
Answer: D
144 candies are distributed to children with the same number. What can’t be the range including the number of children? Choices.
A) 1~10 B) 10~20 C) 20~30 D) 50~60 E) 70~80

Solution: -> In 144=1*144=2*72=4*36=6*24=8*18=9*16, you can come up with 4 cases. One is distributing 77 candies to 2 children each. Another is distributing 2 candies to 77 children each. Also, you can distribute 22 candies to 7 children. The other is distributing 7 candies to 22 children. Amongst these cases, what is not included is D. 50~60. Therefore, the answer is 50~60.
Answer: D
For dinner, Sandy ate 200 grams of corn which was five times as much corn as she ate for lunch, and twice as much corn as she ate for breakfast. How much corn did Sandy eat in total?  Pick one:
A) 300	B) 320	C) 340	D) 360	E) 380

Solution: For breakfast, Sandy ate   200 / 2= 
  200 / 2 = 100
100 grams.   For lunch, Sandy ate   200 / 5= 
  200 / 5 = 40
40 grams.   For dinner, Sandy ate 200 grams.   The total is  100 + 40 + 200= 
 100 + 40 + 200 = 340
340 grams.   The answer is 340.
Answer: C
Alice worked for three straight hours on her homework questions. If she solved 90 questions in the third hour, which was five times as many as she solved in the second hour, and three times as many questions as she solved in the first hour, how many questions did she solve in total? Choose the most appropriate option.
A) 134	B) 138	C) 142	D) 146	E) 150

Solution: In the first hour, Alice solved   90/3= 
  90/3 = 30
30 questions.   In the second hour, Alice solved   90/5= 
  90/5 = 18
18 questions.   In the third hour, Alice solved 90 questions.   The total is  30 + 18 + 90= 
 30 + 18 + 90 = 138
138.   The answer is 138.
Answer: B
Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $122 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?  Choose the correct choice from the following options:
A) 600
B) 720
C) 1080
D) 2200
E) 3600

Solution: $120 for 2 years = $60 per year.   Extra $2 yearned with the compound interest is the percent yearned on percent. So, $2 is yearned on $60, which means that the interest = 30%.   This on the other hand means that half of the savings = 60*30= 
60*30 = 1_800
$1800. Twice of that= $3,600.   Answer: 3600.
Answer: E
If the diameter of circle R is 80% of the diameter of circle S, the area of circle R is what percent of the area of circle S? Select
A) 74% B) 64% C) 84% D) 94% E) 34%

Solution: Let diameter of circle R , dr = 80   and diameter of circle S , ds = 100   Radius of circle R , Rr = 40   Radius of circle S , Rs = 50   Area of circle R/ Area of circle S = (pi * Rr ^2 ) /( pi * Rs^2 )   = (40/50)^2 = (8/10)^2   =64%   Answer :64%
Answer: B
Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?	Choose one
A) 80 days	B) 70 days	C) 20 days	D) 10 days	E) 30 days

Solution: C   20 days   (5m + 9w)10 = (6m + 12w)8   => 50m + 90w = 48w + 96 w => 2m = 6w => 1m = 3w 5m + 9w = 5m + 3m = 8m   8 men can do the work in 10 days.   3m +3w 5  + 3= 
5  + 3 = 8
8m   8 men can do the work in 10 days.   3m +3w= 3m + 1w = 4m   So, 4 men can do the work in (10 * 8)/4 3  + 1= 
3  + 1 = 4
4m   So, 4 men can do the work in (10 * 8)/4= 
(10 * 8)/4 = 20
20 days.
Answer: C
If a fair coin is tossed five times, what is the probability of getting exactly three heads in a row?	Answers:
A) 3/16  B) 5/16  C) 3/32  D) 5/32  E) 7/32

Solution: Let X represent either H or T (it doesn't matter which).   P(HHHTX) = 1/16   P(THHHT) = 1/32   P(XTHHH) = 1/16   The sum of these probabilities is 5/32   The answer is 5/32.
Answer: D
There are two men aged 30 and 36 years. The probability to live 35 years more is 0.67 for 30 -years pld man and 0.60 for 36 year old man. Find the probability that at least one of these men will be alive 35 years hence.  Options
A) 0.35  B) 0.868  C) 0.43  D) 0.44  E) 0.47

Solution: Explanation :   Let, A ≡ event that 30 year-old man will live 35 years more.   B ≡ event that 36 year-old man will live 35 years more.   [ A and B are independent events ]   To find at least one of the men will be alive it easier to calculate the complementary of the event (i.e none will be alive) first. Since   P(at least one) = 1 - P(none).   P(none will be alive)   = P(~A~B)   = P(~A) x P(~B)   = [1 - P(A)] x [1 - P(B)]   = (1- 0.67)(1-0.6)   = 0.33 x 0.40   = 0.132   P ( at least one of them will be alive)   = 1 - 0.132   = 0.868.   Answer : 0.868
Answer: B
Saleem bought 4 baskets with the average cost of $4. If Saleem also buys the fifth basket with the price of $ 8, what is the average (arithmetic mean) price of those 5 baskets?  Choose the correct choice from the following answers.
A) $4.50	B) $6.00	C) $4.00	D) $5.50	E) $4.80

Solution: 4 baskets -> Total cost = 4 * Avg cost = 4*4= 
4*4 = 16
16   Fifth basket cost= 8   Total cost for 5 baskets = 16+8= 
16+8 = 24
24   AM= 24/5= 
24/5 = 24/5 = around 4.8
4.80   ANSW$4.80R:$4.80
Answer: E
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?	Choose the correct answer
A) 21 (1/36)kmph  B) 21 (1/3)kmph  C) 21 (8/3)kmph  D) 27 (1/3)kmph  E) 25 (1/3)kmph

Solution: Let the total distance be x km   total time taken = (x/4)/16 + (3x/4)/24   = x/64 + x/32 = 3x/64   Average speed = x/(3x/64)   = 64/3kmph   = 21 (1/3)kmph.   Answer: 21 (1/3)kmph
Answer: B
At what rate will Rs.1400 fetch an interest of Rs.210 in 5 years?	Choose one.
A) 2%
B) 6%
C) 5%
D) 4%
E) 3%

Solution: 70 = (P*4*7/2)/100   R =( 210x100)/(1400x5)=3% p/a   Answer: 3%
Answer: E
How many 3 digit numbers that do not contain the digit 0 are there?	Choose the correct choice from the following answers:
A) 100 B) 200 C) 512 D) 648 E) 729

Solution: Applying combinations....9 * 9 * 9 = 729...   8 for first digit...cant be 0   9 and 9 for 2nd and 3rd....cant be 0   ANSW729R: 729
Answer: E
A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?  Choose the correct choice from the following answers
A) 40%  B) 45%  C) 50%  D) 60%  E) 70%

Solution: Here, selling price of 10 m cloth is obtained as profit.   Profit of 10 m cloth = (S.P. of 30 m cloth) – (C.P. of 30 m cloth)   Selling price of 20 m cloth = Selling Price of 30 m of cloth   Let cost of each metre be Rs. 100.   Therefore, cost price of 20 m cloth = Rs. 2000 and S.P. of 20 m cloth = Rs. Rs. 3000   Profit% = 10 × 100 = 50%   20   Profit of 50% was made by the merchant.   50%
Answer: C
Find the length of the wire required to go 12 times round a square field containing 104976 m2.
Choose the correct choice from the following answers:
A) 15840
B) 3388
C) 2667
D) 8766
E) 15552

Solution: a2 = 104976 => a = 324   4a = 1296   1296 * 12= 
1296 * 12 = 15_552
15552   Answer: 15552
Answer: E
Look at this series: 17, 24, 21, 28, ... What number should come next?	Choose the most appropriate option.
A) 33  B) 28  C) 32  D) 35  E) 39

Solution: Explanation:   This is a simple alternating addition and subtraction series. In the first pattern, 7 is added; in the second, 3 is subtracted.   Answer: Option 32
Answer: C
How many seconds will a train 100 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph? Choices.
A) 22 sec	B) 27 sec	C) 30 sec	D) 24 sec	E) 11 sec

Solution: Explanation:   D = 100 + 200= 
100 + 200 = 300
300   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 300/10 = 10 sec   Answer: Option 30 sec
Answer: C
A train having a length of 270 meter is running at the speed of 120 kmph . It crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choose the correct choice from the following choices:
A) 320 m B) 190 m C) 210 m D) 230 m E) 240m

Solution: Explanation:   Relative speed = 120+80= 
120+80 = 200
200 kmph= 200×10/36 m/s = 500/9 m/s   time = 9s   Total distance covered = 270 + x where x is the length of other train   (270+x)/9 = 500/9   => 270+x = 500   => x = 500-270= 
500-270 = 230
230 meter   Answer: Option 230 m
Answer: D
A train leaves Mumabai at 9 am at a speed of 30 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 60 kmph. When and at what distance from Mumbai do the two trains meet?	Choose the correct option
A) 27	B) 279	C) 60	D) 278	E) 379

Solution: When the second train leaves Mumbai the first train covers 30 * 1= 
30 * 1 = 30
30 km   So, the distance between first train and second train is 30 km at 10.00am   Time taken by the trains to meet= Distance / relative speed = 30 / (60 -30)= 
30 / (60 -30) = 1
1 hours   So, the two trains meet at 11 a.m. The two trains meet 1 * 60= 
1 * 60 = 60
60 km away from Mumbai.   Answer:60
Answer: C
Fifteen coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options
A) 2^9 B) 2^14 C) 3 * 2^8 D) 3 * 2^9 E) 3 * 2^10

Solution: Fix the third coin as H. The remaining 14 coins have 2^14 outcomes.   2^14
Answer: B
If two sides of a triangle are 6 and 11, respectively, which of the following could NOT be the area of this triangle? Select the correct option
A) 1	B) 6	C) 17	D) 29	E) 34

Solution: For this question it would be helpful to know the largest area that this triangle could be, given the two sides of 6 and 11.   We know that the area of a triangle will be maximized when two sides are perpendicular to each other (consult Bunuel's drawing above). Thus we have a max area being equal to one half the base times the height, either (.5)11 * 6 -or- (.5)6 * 11 will result in a maximum area of 33 for the triangle; therefore, the triangle could never have an area of 34.   34
Answer: E
How many times in a day, the hands of a clock are straight?  Choose the correct choice from the following answers:
A) 22	B) 24	C) 44	D) 48	E) None

Solution: EXPLANATION   In 12 hours, the hands coincide or are in opposite direction 22 times.   In 24 hours, the hands coincide or are in opposite direction 44 times a day.   Answer 44
Answer: C
Mr. Mukhambo has two numbers and say that their difference, their sum and their product are to one another as 1:7:24. Mukhambo wants to find out whether you can get him the product of those two numbers:	Options:	A) 24	B) 6	C) 48	D) 12	E) 18

Solution: let the numbers are x and y so according to the given condition   x+y = 7k   x-y = k   and x*y = 24k   on solving 1st and 2nd equations we get x = 4k and y = 3k   so 4k*3k = 24k   or k = 2   so product of the numbers = 12(k^2) = 48   ANSWER:48
Answer: C
Average age of students of an adult school is 42 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.  Choose the correct answer
A) 1200
B) 120
C) 360
D) 200
E) None of these

Solution: Explanation :   Let the original no. of students be x.   According to situation, 42x + 120*32 = (x + 120)36 ⇒ x = 80   So, Required no. of students after joining the new students   = x + 120 = 200.   Answer : 200
Answer: D
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 19. The larger of the two numbers is:	Choose the correct choice from the following answers:
A) 437
B) 299
C) 322
D) 345
E) 355

Solution: Clearly, the numbers are (23 x 13) and (23 x 19).   Larger number = (23 x 19) = 437. 437nswer: Option 437
Answer: A
A class of 20 students took a science test. 10 students had an average (arithmetic mean) score of 80. The other students had an average score of 60. What is the average score of the whole class?
Options
A) 70 B) 60 C) 55 D) 65 E) 85

Solution: hear, 10 students had average score of 80, so, 80X10=800   and 10 students had average score of 60, so, 60X10=600   total no of student are 20   (800+600)/20= 
(800+600)/20 = 70
70   correct ans is 70
Answer: A
Sum of the squares of three numbers is 116 and the sum of their products taken two at a time is 70. Find the sum?  Select the correct option.
A) 14 B) 15 C) 16 D) 17 E) 18

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 116 + 2* 70   a + b + c = √256 = 16   16
Answer: C
What is the sum of the multiples of 7 from 77 to 91, inclusive?  Choose the correct answer:
A) 260	B) 452	C) 352	D) 260	E) 252

Solution: The formula we want to use in this type of problem is this:   Average*Total Numbers=Sum   First, find the average by taking the sum of the F + L number and divide it by 2:   A = (F + L)/2   Second, find the total numbers in our range by dividing our F and L numbers by 7 and add 1.   (91/7) - (77/7) + 1= 
(91/7) - (77/7) + 1 = 3
3   Multiply these together so what we show Average*Total Numbers=Sum   (91 + 77)/2 * 3 = Sum   84* 3= 
84* 3 = 252
252   252
Answer: E
The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Choose one
A) 22  B) 88  C) 27  D) 99  E) 11

Solution: Explanation:   Other side=\inline {\color{Black}\sqrt{\frac{225}{4}-\frac{81}{4}}ft}   =\inline {\color{Black}\sqrt{\frac{144}{4}}ft}   =\inline {\color{Black}6ft}   Area of closest =(6 * 4.5) sq.ft =27 sq.ft   Answer: 27) 27
Answer: C
A snail has fallen in a 10 feet deep hole. It started climbing up - every day it
would climb 3 feet up but then it would fall 2 feet down while sleeping during
the night. After how many days will the snail climb out of the hole?
Choose the correct choice from the following options:  A) 2  B) 6  C) 7  D) 8  E) 9

Solution: Each 24 hour period the snail will climb up only 1 ft. It   does that for 7 days, but on the 8th day it goes out of the hole before   he falls asleep. Answer: 8 days.   corect answer 8
Answer: D
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1350 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choose the correct choice from the following answers.
A) 2388 B) 7380 C) 1279 D) 6150 E) 2771

Solution: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15   = 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60   Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.   The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k   It is given that A paid Rs. 1350   45k 45  + 60  + 81  + 60= 
45  + 60  + 81  + 60 = 246
246k   It is given that A paid Rs. 1350   45k= 1350 => k = 30   246k = 246(30) = Rs. 7380   Thus the total rent paid by all the four agencies is Rs. 7380.   Answer: 7380
Answer: B
Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.	Choose the correct answer.
A) 25 B) 45 C) 35 D) 15 E) 40

Solution: Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.   495 = 32 x 5 x 11, 900 = 22 x 32 x 52, 1665 = 32 x 5 x 37.   Therefore, H.C.F. = 32 x 5 = 45.   Hence, required length = 45 cm.   Answer is 45.
Answer: B
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 42 liters of drink A to convert it to drink B?	Select the correct option
A) 7
B) 9
C) 12
D) 14
E) 18

Solution: In 42 liters of drink A, there are 24 liters of milk and 18 liters of juice.   With 24 liters of milk, we need a total of 32 liters of juice to make drink B.   We need to add 14 liters of juice.   The answer is 14.
Answer: D
6/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is	Pick
A) 28%  B) 54%  C) 45%  D) 72%  E) 78%

Solution: Total population = 80 (assume).   6/8*80= 
6/8*80 = 60
60 people from Montague.   2/8*80= 
2/8*80 = 20
20 people from Capulet.   0.2*60= 
0.2*60 = 12
12 people from Montague support Juliet.   0.7*20= 
0.7*20 = 14
14 people from Capulet support Juliet.   The probability that a Juliet supporter chosen at random resides in Capulet is 14/(12+14)=~54   Answer: 54%.
Answer: B
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be A's share in the total profit of Rs.27,000 earned at the end of 2 years from the starting of the business?  Choose the correct choice: A) Rs.7500 B) Rs.9000 C) Rs.9500 D) Rs.10,800 E) None

Solution: Solution   A : B : C	=(20000×24):(15000×24):(20000×18)   =4 :3 :3   A's share	=Rs.(27000×4/10)   = Rs.10800.   Answer Rs.10,800
Answer: D
The selling price of 40 apples is equal to cost price of 35 apples. Find the profit or loss obtained.  Pick one:	A) Gain of 5.5 %	B) Gain of 12.5 %	C) Loss of 5.5 %	D) Loss of 12.5 %	E) Loss of 10 %

Solution: Explanation:   Let C.P. of each apple be Re 1/-.   Therefore,   C.P. of 40 apples = Rs. 40   S.P. of 40 apples = Rs. 35   C.P. of 40 apples > S.P. of 40 apples   Loss = 40 – 35 = Rs. 5   Loss% =	Loss/c.p.	×100   Loss% =	5/40	×100   Loss% = 12.5%   ANSWER IS Loss of 12.5 %
Answer: D
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25%, what is the total capacity of the pool in gallons? Answers
A) 1875  B) 1250  C) 1300  D) 1600  E) 1625

Solution: 300 gallons of water increases capacity by 25% that means   25% is 300 gallons, so 100% would be = 300*100/25= 
300*100/25 = 1_200
1200 gallons   Now 1200 +300 gallons is 80% capacity of tank.   so 100% capacity would be= 1500 *100/80= 
1500 *100/80 = 1_875
1875   1875 is the answer
Answer: A
I chose a number and divide it by 9. Then I subtracted 100 from the result and got 10. What was the number I chose? Choose the correct choice
A) 600 B) 700 C) 990 D) 900 E) None

Solution: Solution:   Let x be the number I chose, then   x/9âˆ’100=10   x/9=110   x=990   Answer 990
Answer: C
The diagonals of a rhombus are 25 cm and 30 cm. Find its area?  Choose the correct answer.
A) 250  B) 300  C) 375  D) 550  E) 750

Solution: Area=0.5 x 25 x 30   =375 cmÂ²   Answer: 375
Answer: C
A lady goes to a bank near her newly possessed home. The bank's policies are weird, but she decides to open the account anyhow with a certain amount. The policy is that at the end of each year, the total amount gets doubled and Rs. 65 is deducted from that amount. After 6 years, when the lady checks her account, the total amount is 0.
Can you find out what was the original amount that she had deposited in the bank?
Pick one.
A) 63.984375 B) 63.984376 C) 63.984377 D) 63.984378 E) none

Solution: Explanation:   This question is hypothetical because you cannot transact in fractions in bank account. The following is the solution:   Year	63.984375mount	Interest and Deduction   Start	63.984375   Y1 End	62.968750	63.984375 * 2 - 65   Y2 End	60.937500	62.96875* 2 - 65   Y3 End	56.875000	60.9375 * 2 - 65   Y4 End	48.750000	56.875 * 2 - 65   Y5 End	32.500000	48.75 * 2 - 65   Y6 End	0.000000	32.5 * 2 - 65 = 0   63.984375nswer 63.984375
Answer: A
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Answers
A) 510  B) 540  C) 500  D) 520  E) 589

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.   Answer: Option 500
Answer: C
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 40 km apart, if they walk in the same direction?
Choose the correct choice from the following answers:
A) 5hours  B) 40hours  C) 8hours  D) 20hours  E) 30hours

Solution: To be 2km apart they take 1 hour   To be 10km apart they take = 1/2 * 40= 
1/2 * 40 = 20
20 hours   Answer is 20hours
Answer: D
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years? Choose the most appropriate option
A) 272.22 B) 128.29 C) 306.04 D) 198.39 E) 212.22

Solution: Explanation:   A = 5000(51/50)3   = 5306.04   5000   -----------   306.04   Answer:306.04
Answer: C
In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.
Pick one
A) 8  B) 10  C) 12  D) 24  E) 28

Solution: Explanation:   Let the number of buffaloes be x and the number of ducks be y   => 4x + 2y = 2 (x + y) + 24   => 2x = 24 => x = 12   Option 12
Answer: C
Find the area of a cuboid of length 8cm , breadth 10 cm . and height 12cm. Choose the correct option.
A) 900 cm cube B) 910 cm cube C) 920 cm cube D) 930 cm cube E) 960 cm cube

Solution: Area of a cuboid = lxbxh =8cm x 10cm x 12cm = 960 cm cube   answer :960 cm cube
Answer: E