MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the local value of 6 in the product of face value of 7 and local value of 8 in 7098060
Choose the correct choice from the following
A) 60 B) 600 C) 6000 D) 60000 E) 6

Solution: (Face value of 7) x (Local value of 8) = 7 x 8000 =56000   Local value of 6 in 56000 = 6000   6000
Answer: C
What is the probability that Jasmine and Trish will get selected for a job they both applied for in a company, given that their chances of getting selected is 3/5 and 2/7 respectively?  Pick:  A) 6/37  B) 6/35  C) 5/36  D) 7/33  E) 7/36

Solution: Explanation:   P(Jasmine) = 3/5   P(Trish) = 2/7   P(E) = P(Jasmine)*P(Trish)   = 3/5 * 2/7   = 6/35   ANSWER: 6/35
Answer: B
Which of the following number is divisible by 24 ?	Select:  A) 22  B) 24  C) 26  D) 27  E) 28

Solution: 24 = 3 x8, where 3 and 8 co-prime.   Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8.   Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8.   Consider option (D),   Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6)= 
(3 + 1 + 2 + 5 + 7 + 3 + 6) = 27
27, which is divisible by 3.   Also, 736 is divisible by 8.   3125736 is divisible by (3 x 8), i.e., 24.   24
Answer: B
A man swims downstream 16 km and upstream 10 km taking 2 hours each time, what is the speed of the man in still water?
Choose the correct choice from the following answers: A) 7.0 B) 8.2 C) 6.5 D) 7 E) 6

Solution: 16--- 2 DS = 8   ? ---- 1   10 ---- 2 US = 5   ? ---- 1 M = ?   M = (8 + 5)/2= 
(8 + 5)/2 = 13/2 = around 6.5
6.5   Answer:6.5
Answer: C
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 18th board counting from the bottom of the stack. How many boards are in the stack?
Choose the correct choice from the following answers:	A) 38	B) 36	C) 35	D) 34	E) 32

Solution: Counting from the top, after the 20th board, there are 16 boards left to count.   The answer is 36.
Answer: B
A train is 360 meter long is running at a speed of 75 km/hour. In what time will it pass a bridge of 140 meter length?	Pick:
A) 87
B) 69
C) 40
D) 72
E) 24

Solution: Speed = 75 Km/hr = 75*(5/18) m/sec = 125/6 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (6/125)= 
500 * (6/125) = 24
24 seconds   Answer: 24
Answer: E
If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:	Answers
A) 125m
B) 128m
C) 121m
D) 123m
E) 127m

Solution: Explanation:   When X runs 48m, Y runs 42m.   Hence, when X runs 1000m, Y runs   (1000 * 42) / 48= 
  (1000 * 42) / 48 = 875
875m   X beats Y by 125m.   125mNSWER: 125m
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train?  Choose the correct choice from the following answers
A) 150 meter  B) 170 meter  C) 156 meter  D) 168 meter  E) 50 meter

Solution: Speed = 60*(5/18) m/sec   = 50/3 m/sec   Length of Train (Distance)   = Speed * Time     (50/3) * 3= 
  (50/3) * 3 = 50
50 meter   Answer:50 meter
Answer: E
75% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?	Choose the correct choice from the following choices:  A) 70  B) 97  C) 87  D) 90  E) 76

Solution: Given, 75% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.   Given, marks of Robert = 80   30% of 80 = 30/100 * 8 = 24   Given, 75% of Ram's marks = 24.   => Ram's marks = (24 * 100)/75= 
(24 * 100)/75 = 32
32   Also, 20% of Rahim's marks= 24   => Rahim's marks = (24 * 100)/20= 
(24 * 100)/20 = 120
120   Average marks of Ram and Rahim= (32 + 120)/2= 
(32 + 120)/2 = 76
76.   Answer:76
Answer: E
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 5 minutes, then the area of the park (in sq. m) is: Choose the correct option
A) 153601 B) 153600 C) 153602 D) 60000 E) 153604

Solution: Perimeter = Distance covered in 5 min. =(12000/60) x 5m = 1000 m.   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1000 or x = 100.   Length = 300 m and Breadth = 200 m.   Area = (300 x 200) m2 = 60000 m2.   Answer: 60000
Answer: D
A train 800 m long can cross an electric pole in 20 sec and then find the speed of the train?
Select the correct option:	A) 72	B) 67	C) 28	D) 26	E) 144

Solution: Length = Speed * time   Speed = L/T   S = 800/20= 
800/20 = 40
40 M/Sec   Speed= 40*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 144 Kmph   Answer:144
Answer: E
Suhas sold an item for Rs.7500 and incurred a loss of 25%. At what price, should he have sold the item to have gained a profit of 25%?
Pick:
A) Rs.13800
B) Rs.12500
C) Rs.11200
D) Cannot be determined
E) None of these

Solution: Explanation:   255 loss means that Rs.7500 is 75% of CP.   Therefore, CP = 7500x100/75 = Rs.10000.   25% of Rs.10000 = Rs.2500.   To get a gain of 25%, the SP should be = Rs.10000+2500 = Rs.12500   Answer: Option Rs.12500
Answer: B
A sum of money lent out at S.I. amounts to Rs. 820 after 2 years and to Rs. 1020 after a further period of 4 years. The sum is?
Choose the correct choice from the following answers:
A) s.440
B) s. 500
C) s. 720
D) s. 740
E) s. 840

Solution: S.I for 5 years = (1020 - 820) = Rs. 200.   S.I. for 2 years = 200/4 * 2 = Rs. 100.   Principal = (820 - 100) = Rs. 720.   ANSWER:s. 720
Answer: C
A store owner is packing small radios into larger boxes that measure 25 in. by 42 in. by 60 in. If the measurement of each radio is 7 in. by 6 in. by 5 in., then how many radios can be placed in the box?
Options
A) 300 B) 325 C) 400 D) 420 E) 480

Solution: No of radios that can be placed in the box = (25*42*60)/(7*6*5)= 
(25*42*60)/(7*6*5) = 300
300   300NSWER:300
Answer: A
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 6 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 2 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?  Choose the correct option.
A) 1.5	B) 1.9	C) 2.50	D) 3.21	E) 4.56

Solution: Always remember RT=W i.e Rate*Time = Work   Also remember that rate can be added or subtracted. For e.g if A do a work in 2 day and B do a work in 2 day.   They both of them together will do a work in 1 day.   So now your question first determine both outlets rate.   1st outlet rate = 1/6 (R=W/T here W=1 work, T = 6hrs)   2nd outlet rate = 1/2 (R=W/T here W=1 work, T = 2hrs)   Both of them working together rate = 1st outlet rate + 2nd outlet rate = 1/6+1/2 = 4/6=2/3   again apply the formula RT=W   T = W/R = 1/2/3 = 3/2= 
3/2 = 3/2 = around 1.5
1.5   1.5nswer is 1.5.
Answer: A
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects? Choose the correct choice from the following options: A) 19 B) 41 C) 21 D) 26 E) 25

Solution: Number of students who took at least one of the three subjects can be found by finding out A U B U C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.   Now, AUBUC = A + B + C - (A n B + B n C + C n A) + (A n B n C)   A is the set of those who opted for Physics = 120/2= 
120/2 = 60
60 students   B is the set of those who opted for Chemistry= 120/5= 
120/5 = 24
24   C is the set of those who opted for Math= 120/7 = 17.   The 10th, 20th, 30th…… numbered students would have opted for both Physics and Chemistry.   Therefore, A n B = 120/10= 
120/10 = 12
12   The 14th, 28th, 42nd…. Numbered students would have opted for Physics and Math.   Therefore, C n A= 120/14 = 8   The 35th, 70th …. Numbered students would have opted for Chemistry and Math.   Therefore, A n B = 120/35 = 3   And the 70th numbered student would have opted for all three subjects.   Therefore, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1= 
60 + 24 + 17 - (12 + 8 + 3) + 1 = 79
79.   Number of students who opted for none of the three subjects= 120 - 79= 
120 - 79 = 41
41.   ANSWER:41
Answer: B
The probability that a convenience store has no iced tea is 60%. If Karl is stopping by 2 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea?  Choose one:  A) 1/8  B) 1/4  C) 1/2  D) 3/4  E) 16/25

Solution: p=1-3/5^32(all stores have iced tea)=16/25   16/25
Answer: E
At Scratch and Dents Rent-a-Car, it costs $34.95 a day plus $0.23 per mile to rent a car. At Rent-a-Lemon, the charge is $25.00 a day plus $1.31 per mile. If you need to rent a car for three days, how many miles (to nearest tenth) must you drive for a car from both agencies to cost the same amount?
Choices
A) 25.7 Miles
B) 26.2 Miles
C) 27.6 Miles
D) 27.9 Miles
E) 29.9 Miles

Solution: For SaD:   SaDDaily = $34.95/Day   SaDMile = $0.23/Mile   For RaL:   RaLDaily = $25.00/Day   RaLMile = $1.31/Mile   We want the RaLTotal = SaDTotal, so we get   (RaLDaily * Days) + (RalMile * Miles) = (SaDDaily * Days) + (SaDMile * Miles)   => Miles = ( (SaDDaily * Days) - (RaLDaily * Days) ) / (RalMiles - SaDMiles) = ((SaDDaily - RaLDaily )* Days) / (RalMiles - SaDMiles)   Miles = (( $34.95 * 3 ) - ( $25.00 * 3 ))/($1.31 - $0.23) = 27.6 Miles   C. 27.6 Miles
Answer: C
What is the largest 4 digit number exactly divisible by 88?	Select the correct option:
A) 9944
B) 9999
C) 9988
D) 9900
E) None of these

Solution: Explanation :   Largest 4 digit number = 9999   9999 ÷ 88 = 113, remainder = 55   Hence largest 4 digit number exactly divisible by 88 = 9999 - 55= 
9999 - 55 = 9_944
9944. 9944nswer : Option 9944
Answer: A
A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month? Choose the correct answer.
A) 1/7 B) 1/6 C) 1/5 D) 1/4 E) 1/3

Solution: Let x be the fraction of her take-home pay that the worker saved.   Let P be the monthly pay.   12xP = 2(1-x)P   12xP = 2P - 2xP   14xP = 2P   x = 1/7   The answer is 1/7.
Answer: A
If $2500 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Choose the correct option:
A) 2500 (1.056)(3) B) 2500 (3+1.056) C) 2500 (1.056)^3 D) 2500 (1+(0.056)^3) E) 2500 (1+3(0.056))

Solution: the formula is 2500 (1.056)^3I=P(1+r/100)^t   in this case i think 2500 (1.056)^3 is the ans
Answer: C
The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?  Choose one:
A) Rs. 8400
B) Rs. 8721
C) Rs. 8856
D) Rs. 8956
E) None of these

Solution: Actual price = 95% of 90% of 85% of Rs. 12000   = 95/100 * 90/100 * 85/100 * 12000 = Rs. 8721.   ANSWER:Rs. 8721
Answer: B
If 4⁄9 of 3⁄10 of 5⁄8 of a number is 45, what is the number? Options:
A) 450  B) 550  C) 560  D) 650  E) None of these

Solution: Number = 45×9×10×8/4×3×5⇒540   Answer None of these
Answer: E
The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.1 kg. The weight of the new student is Choose the correct choice.
A) 22 kg  B) 1 kg  C) 22.4 kg  D) 21 kg  E) None of these

Solution: Exp . The total weight of 29 students = 29* 28   The total weight of 30 students = 30* 27.1   Weight of the new student = ( 30*27.1 – 29*28)   = 813 - 812= 
813 - 812 = 1
1   Answer:1 kg
Answer: B
Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full? Choose the correct choice from the following:	A) 13	B) 12	C) 16	D) 18	E) 19

Solution: :   1/8 + 1/24 = 1/6   6 * 2= 
6 * 2 = 12
12.Answer:12
Answer: B
If X boxes of apple juice cost 450 cents, how much will Y boxes cost in dollars?	Choose one:
A) Y*45/x
B) Y*4.5/x
C) Y*4.5/2x
D) 2Y*4.5/x
E) Y*5/x

Solution: X boxes of apple juice cost 450 cents or 4.5 dollars.   cost of apple juice = 4.5/x   Cost of Y apple juices = Y*4.5/x   Hence Answer : Y*4.5/x
Answer: B
In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:  Choose the correct choice from the following options.
A) 8 B) 7 C) 6 D) 5 E) 4

Solution: Let the number of cows be x and their legs be 4x.   Let the number of chicken be y and their legs be 2x.   Total number of legs = 4x + 2y.   Total number of heads = x + y.   The number of legs was 14 more than twice the number of heads.   Therefore, 2 × (x + y) + 14 = 4x + 2y.   or, 2x + 2y + 14 = 4x + 2y.   or, 2x + 14 = 4x [subtracting 2y from both sides].   or, 14 = 4x – 2x [subtracting 2x from both sides].   or, 14 = 2x.   or, x = 7 [dividing by 2 on both sides].   Therefore, the number of cows = 7.   Answer: 7
Answer: B
18 : 12 seconds :: ? :6 minutes	Choose the most appropriate option:
A) 10 B) 9 C) 20 D) 25 E) 30

Solution: 18*6=12*x   x=9   ANSWER:9
Answer: B
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 8and 16 hours respectively and C can empty it in 12 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?	Select the correct option:
A) 6 AM
B) 7 AM
C) 8 AM
D) 5 AM
E) 4 AM

Solution: 1 to 2 = 1/8   2 to 3 = 1/8 + 1/16 = 3/16   6 AMfter 3 6 AMM = 1/8 + 1/16 - 1/12 = 5/48   1/8 + 3/16 = 5/16   1 h ---- 5/48   ? ----- 5/16   3hours ==> 6 6 AMM   6 AMnswer:6 AM
Answer: A
If the price of a certain computer increased 30 percent from c dollars to 351 dollars, then 2c = Choose the correct choice from the following
A) 540	B) 570	C) 619	D) 649	E) 700

Solution: Before Price increase Price = c   After 30% Price increase Price = c+(30/100)*c= 1.3c = 351 (Given)   i.e. c= 351/1.3= 
351/1.3 = 270
$270   i.e. 2c= 2*270= 
2*270 = 540
540   540nswer: option 540
Answer: A
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.	Choose the correct choice
A) loss of Rs. 200 B) loss of Rs. 100 C) profit of Rs. 100 D) profit of Rs. 200 E) None of these

Solution: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.   r = 15000(1 - 4/100) = 15000 - 600   m = 8000(1 + 10/100) = 8000 + 800   Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200   As this is positive, an overall profit of Rs. 200 was made.   ANSWER:profit of Rs. 200
Answer: D
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.
Choose the correct option:
A) 18 B) 8 C) 12 D) 16 E) None of these

Solution: 105 - 57= 
105 - 57 = 48
48   57 - 25= 
57 - 25 = 32
32   105 - 25= 
105 - 25 = 80
80   The H.C.F of 32, 48 and 80 is 16.   ANSWER:16
Answer: D
[( 3.242 x 12 ) / 100] = ?	Options:
A) 0.045388
B) 4.5388
C) 453.88
D) 473.88
E) 0.038904

Solution: Answer   Multiplying 3.242 x 12=3.8904   Now divide 3.8904 by 100   So, 3.8904 ÷ 100= 0.038904   ∴ Shift the decimal two places to the left as 100   Correct Option: 0.038904
Answer: E
The average salary/head of allthe workers in a workshop is Rs.750, if the average salary/head of 5 technician is Rs.900 and the average salary/head of the rest is Rs.700, the total no. of workers in the work-shop is ?	Choose the correct choice
A) 18  B) 20  C) 22  D) 24  E) 26

Solution: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 5 technician + sum of salary for other y -5 workers.5 x 900 + 700(y -5) = 750 y⇒ 4500 + 700y - 3500 = 750y⇒ 50y = 1000∴ y = 20 So total number of workers = 2020
Answer: B
Two water pumps, working simultaneously at their respective constant rates, took exactly five hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate?  Choose the correct option
A) 8.5	B) 10.5	C) 12.5	D) 14.5	E) 16.5

Solution: Let x be the rate of the slower pump. Then 1.5x is the rate of the faster pump.   Both pumps together can fill 1/5 of the pool each hour.   2.5x = 1/5   x = 1/12.5 = 2/25   The slower pump could fill the pool in 25/2= 
25/2 = 25/2 = around 12.5
12.5 hours.   The answer is 12.5.
Answer: C
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?  Pick
A) 132	B) 77	C) 66	D) 99	E) 21

Solution: 2 * 22/7 * 14= 
2 * 22/7 * 14 = 88
88   88 * 1 1/2= Rs.132   132nswer: 132
Answer: A
Three people have $34, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?	Choose the most appropriate option:
A) $72
B) $85
C) $98
D) $101
E) $102

Solution: Solution -   Total money distributed is $204. In order to maximize median, one person has to accept $0 and remaining two people share $102 each. Hence median is $102.   ANS $102
Answer: E
How many 8's are there in the following number series which are exactly divisible by its immediately preceding and also exactly divisible by immediately succeeding numbers?
8 2 4 5 1 7 2 8 4 8 4 2 2 8 2 6 9 8 4 5 4 8 3 2 8 4 3 1 8 3	Choose one:  A) 1  B) 2  C) 3  D) 4  E) None of these

Solution: 284   484   282   284   ANSWER:4
Answer: D
A batsman in his 17th innings makes a score of 80 and their by increasing his average by 3. What is his average after the 17thinnings?
Choose the correct option
A) 28
B) 29
C) 30
D) 31
E) 32

Solution: 16x + 80 = 17(x + 3)   x = 27+3= 
27+3 = 30
30   ANSWER:30
Answer: C
A rectangular table seats 6 people on each of two sides, with every person directly facing another person across the table. If twelve people choose their seats at random, what is probability that any two of them directly face other?
Choices:  A) 1/11  B) 1/8  C) 1/7  D) 15/56  E) 4/7

Solution: A B C D E F   ------------   | TABLE |   ------------   G H I J K L   A to L are 12 people.   Prob to select any 1 person = 1   Prob to select the person opposite to the chosen person = 1/11   For ex. If we select A as the person than prob of choosing G is 1/11.   Hence, answer will be 1/11.
Answer: A
An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 30%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay? Choose the correct option:
A) $92.00  B) $88.00  C) $87.04  D) $80.96  E) $65.00

Solution: Without any discount Sam should pay 10*10= 
10*10 = 100
$100. Now, the overall discount would be slightly less than 38%, thus he must pay slightly more than $62.   Answer: $65.00.
Answer: E
m:n = 5: 8 , n: p = 6 : 7 , m:n:p = ?  Choose the most appropriate option:
A) 30 : 48 : 54 B) 30 : 48 : 56 C) 30 : 48 : 50 D) 30 : 48 : 52 E) 30 : 48 : 58

Solution: m:n = 5: 8   n: p = 6 : 7   m:n:p =30 : 48 : 56   Answer : 30 : 48 : 56
Answer: B
9 speakers gathered to deliver speeches on two topics. Even though 9 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?	Choose one:
A) 24  B) 36  C) 64  D) 100  E) 81

Solution: 1)there are 9 speeches in ONE topic and 9 in OTHER..   2)there is a specific order for topics, so   a) both the topics are to be spoken on- so ONE from each   b) the order does not matter since there is ONLY one specific order..   so 9C1∗9C1=9∗9=81   ANSW81R:81
Answer: E
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.16000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is  Choose the correct choice from the following
A) 20	B) 21	C) 35	D) 23	E) 24

Solution: Solution   Let the toatl number of workers be x.   Then 8000x=(16000 x 7) + 6000 (x -7)   x= 35.   Answer 35
Answer: C
man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?	Options:
A) 5	B) 20	C) 30	D) 25	E) 15

Solution: US = 10   DS = 20   M = (10 + 20)/2= 
(10 + 20)/2 = 15
15   Answer:15
Answer: E
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?  Select.
A) 17 sec
B) 18 sec
C) 19 sec
D) 20 sec
E) 11 sec

Solution: Relative speed   = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 120 + 280= 
120 + 280 = 400
400 m.   The time required= d/s = 400/20= 
400/20 = 20
20 sec.   Answer: 20 sec
Answer: D
If the number 451 * 623 is completely divisible by 9, then the smallest whole number in place of * will b
Choose the correct choice from the following answers:  A) 4  B) 5  C) 7  D) 6  E) 9

Solution: Sum of digits = (4 + 5 + 1 + x + 6 + 2 + 3) = (21 + x), which must be divisible by 9.   x = 6.   6)
Answer: D
Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 4, how many people got on at the first stop?  Choose the most appropriate option
A) 128 B) 64 C) 32 D) 16 E) 8

Solution: 7 - > 1   6 - > 2   5 - > 4   4 - > 8   3 - > 16   2 - > 32   1 - > 64   because people get off after the first stop   => the formula will be : 2^(n-1) where n is the stop number   in this case n = 4   => 2^(4-1) = 2^3 = 8   => answer is 8
Answer: E
Which of the following fractions Q has a decimal equivalent that is a terminating decimal?	Choose the correct choice from the following answers:
A) 10/189
B) 15/196
C) 16/225
D) 25/144
E) 39/128

Solution: The fraction Q will terminate if and only if the denominator has prime divisors only 2 and 5 or both.   A. 10/189 = 10/(3*3*3*7) Non-term.   B. 15/196 = 15/(2*2*7*7) Non-term.   C. 16/225 = 16/(5*5*3*3) Non-term.   D. 25/144 = 25/(2*2*2*7) Non-term.   E. 39/128 = 39/(2^7) Terminatingbecause only 2 in denominator.
Answer: E
Find the area of a parallelogram with base 24 cm and height 16 cm.	Select.
A) 262 cm2  B) 384 cm2  C) 192 cm2  D) 131 cm2  E) None of these

Solution: Area of a parallelogram = base * height = 24 * 16= 
24 * 16 = 384
384 cm2   ANSWER:384 cm2
Answer: B
A motorist travel to a place 150 km away at an average speed of 90 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is Choose the correct answer
A) 36km/hr
B) 37 km/hr
C) 35 km/hr
D) 45 km/hr
E) None of these

Solution: Explanation:   Average speed will be   2xy/x+y km/hr   = {2(90)(30)}/{90+30} km/hr   = 45 km/hr   Answer: Option 45 km/hr
Answer: D
Light glows for every 21 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am. Select:  A) 380 times  B) 236 times  C) 382 times  D) 392 times  E) 482 times

Solution: Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/21)=236 times.   ANSWER:236 times
Answer: B
A bag holds 2 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
Pick:
A) 1/10	B) 1/5	C) 3/10	D) 2/5	E) 1/2

Solution: Given: 2R and 3 G marbles   Required: Probability that 2 marbles removed without replacement are both red   Initially we have to pick one red from a total of 2 red and 3 green marbles   After one red has been picked, we need to pick 1 green from a total of 2 green and 2 red marbles.   P(Both green) = (3/5)*(2/4) = 3/10   Option 3/10
Answer: C