MU-NLPC/Calc-aqua_rat huggingface dataset:
The president of a country and 6 other dignitaries are scheduled to sit in a row on the 7 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Options
A) 720
B) 5
C) 20
D) 24
E) 120

Solution: IMO A   Given that one chair is taken, i think the remaining 6 dignitaries can be arranged 6!. That is 6*5*4*3*2*1= 
6*5*4*3*2*1 = 720
720.
Answer: A
A man swims downstream 45 km and upstream 25 km taking 5 hours each time, what is the speed of the man in still water?
Choose the correct choice from the following answers:
A) 17
B) 24
C) 7
D) 24
E) 20

Solution: 45--- 5 DS = 9   ? ---- 1   25 --- 5 US = 5   ? ---- 1 M = ?   M = (9+ 5)/2 = 14/2= 
14/2 = 7
7   Answer: 7
Answer: C
A person completes half distance of marathon in 20 min including 7 minutes of break time.He runs at 5m/s. Then what is total distance covered if he runs at constant speed and takes only one break in entire marathon. Select.
A) 8km  B) 7.8km  C) 9km  D) 6.1km  E) 7km

Solution: Considering and removing break he runs only for 13 min ie 780 s.So total time =780*2= 
780*2 = 1_560
1560.   Total distance=1560*5= 
1560*5 = 7_800
7800m   Thus 7.8km   Answer:7.8km
Answer: B
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
Choose the correct choice from the following:
A) 288 B) 266 C) 129 D) 300 E) 276

Solution: Let the distance travelled be x km.   Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50 = 11 => (5x + 6x)/300 = 11   => x   = 300 km   Answer:300
Answer: D
A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is	Choose the correct choice
A) 270 m B) 245 m C) 235 m D) 220 m E) 240 m

Solution: Explanation:   Assume the length of the bridge = x meter   Total distance covered = 130+x meter   total time taken = 30s   speed = Total distance covered /total time taken = (130+x)/30 m/s   => 45 × (10/36) = (130+x)/30   => 45 × 10 × 30 /36 = 130+x   => 45 × 10 × 10 / 12 = 130+x   => 15 × 10 × 10 / 4 = 130+x   => 15 × 25 = 130+x = 375   => x = 375-130= 
375-130 = 245
245   Answer: Option 245 m
Answer: B
A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and B leaves after 2 days and C leaves after 4 days from the beginning. How long will work lost?	Choose the correct choice.
A) 3 2/3	B) 5 2/3	C) 6 2/3	D) 4 2/3	E) 7 2/3

Solution: x/10 + 2/15 + 4/20 = 1   x = 40/60*10 = 6 2/3   Answer: 6 2/3
Answer: C
If 4XZ + YW = 5 and XW + YZ = 10, what is the value of the expression (2X + Y)(2Z + W)?  Choose the correct option
A) 9.	B) 12.	C) 15.	D) 16.	E) 25

Solution: (2x+y)*(2z+w) = 5+2(10) =25   Answer : 25
Answer: E
It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number Q?	Select the correct option:	A) a. 2^96 + 1	B) b. 2^16 - 1	C) c. 2^16 + 1	D) d. 7 * 2^33	E) e. 2^64 + 1

Solution: a³ + b³ =(a+b)(a² -ab +b²)   Now, let (2^32 + 1) be (a+b)   a³ + b³ = (2^96 + 1)   Now, as mentioned in formula above,   a³ + b³ is always divisible by (a+b)   So any factor of Q= (a+b) is a factor of (a³ + b³)   Henca a. 2^96 + 1
Answer: A
To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 765 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?	Choose the correct choice from the following options
A) 191	B) 192	C) 193	D) 212	E) 213

Solution: Total movies submitted are 765.   As per question we need to take 1/4 of 765 to be considered for top 10 movies = 191.25   approximate the value we 192.   Answer:option 192 is the correct answer..
Answer: B
If a is a positive integer then 2^(2a) + (16^a)/(2^(2a)) =	Choose the correct choice from the following.
A) 4^a	B) 8^a	C) 10^a	D) 2/4^a	E) 2 × 4^a

Solution: 2^(2a) + 16^a/ 2^(2a) = 4^a + 16^a/4^a = 4^a + (16/4)^a + 16  /4= 
+ 16  /4 = 4
4^a + (16/4)= 
+ (16/4) = 4
4^a + 4^a= 2 × 4^a   Answer : 2 × 4^a
Answer: E
A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h and the rest at 5km/h. The total distance is
Choose the correct choice from the following.
A) 5km B) 6km C) 7km D) 8km E) 9km

Solution: Distance = 2/3S   distance=1-2/3S=1/3S   21/15 hr=2/3 S/4 + 1/3s /5   84=14/3S * 3   S= 6km   Answer : 6km
Answer: B
A certain quantity is measured on two different scales, the A-scale and the S-scale, that are related linearly. Measurements on the A-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the A-scale corresponds to a measurement of 100 on the S-scale?
Choose the correct choice:
A) 20	B) 36	C) 48	D) 60	E) 84

Solution: First, we have to understand what linearly means. It's not a straight ratio (since 6:30 does NOT equal 24:60). We need to look at the increases in each measurement to see what the scalar actually is.   From 6 to 24 we have an increase of 18. From 30 to 60 we have an increase of 30. Therefore, the increase ratio is 18:30 or 3:5. In other words, for every 3 that A increases, S increases by 5.   We know that S is 100. To get from 60 to 100, we went up by 40, or 8 jumps of 5; therefore, A will go up by 8 jumps of 3.   24 + 8(3) = 24 + 24= 
24 + 24 = 48
48=48
Answer: C
Find the compound interest on $10000 in 2years at 4% per annum, the interest being compounded half-yearly?  Choices:
A) $645.56	B) $824.32	C) $954.26	D) $745.69	E) $1020.45

Solution: Principle = $10000   Rate = 2% half yearly = 4 half years   Amount = 10000*(1 + 2/100)^4 = 10000 * 51/50 * 51/50 * 51/50 * 51/50   = $10824.32   C.I. = 10824.32-10000= 
10824.32-10000 = 824.32
$824.32   Answer is $824.32
Answer: B
The speed at which a woman can row a boat in still water is 30 kmph. If he rows downstream, where the speed of current is 6 kmph, what time will he take to cover 100 metres? Choose one.
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: Speed of the boat downstream = 30 + 6= 
30 + 6 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 m/s   Hence time taken to cover 100 m= 100/10= 
100/10 = 10
10 seconds. Answer: 10
Answer: C
In the faculty of Reverse-Engineering, 250 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Answers
A) 515.  B) 545.  C) 618.  D) 674.  E) 666.

Solution: Answer is D :674   Solution : Total number of students studying both are 423 + 250 - 134= 
423 + 250 - 134 = 539
539 (Subtracting the 134 since they were included in the both the other numbers already).   So 80% of total is 539, so 100% is approx. 674.
Answer: D
On dividing a number by 7, we get 5 as quotient and 0 as remainder. On dividing the same number by 11, what will be the remainder?	Choose one:
A) 2	B) 5	C) 8	D) 1	E) 3

Solution: Number = 7 * 5+ 0= 
7 * 5+ 0 = 35
35   11) 35 (3   33   --------   2   Required number= 2.   2NSWER:2
Answer: A
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many R ways can the assembly line be arranged?
Choose one
A) 120  B) 240  C) 360  D) 480  E) 720

Solution: C) 360   short way: there are 6C! ways to do the six tasks. Half will have wheels before axles and half will have axles before wheels. So we want R=6360!/2 -> 720/2 = 360
Answer: C
The average age of a group of persons going for picnic is years. Sixteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Select
A) 5 B) 10 C) 16 D) 45 E) 52

Solution: Solution   Let the initial number of persons be x. Then   16x + 16 x 15 = 15.5(x+20)   = 0.5x = 8   x = 16   Answer 16
Answer: C
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 8 ounces of corn syrup, how many ounces of water does it contain?
Select.
A) 45	B) 50	C) 55	D) 60	E) 120

Solution: F:C:W   1:12:30   Sport version:   F:C   3:12   F:W   1:60   OR 3:180   So C:F:W = 12:3:180   C/W = 12/180 = 3 ounces/x ounces   x = 8*180/12= 
8*180/12 = 120
120 ounces of water   120
Answer: E
P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?	Select
A) 1/15	B) 2/13	C) 8/15	D) 7/15	E) 5/13

Solution: Amount of work P can do in 1 day = 1/15   Amount of work Q can do in 1 day = 1/20   Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60   Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15   Fraction of work left = 1 – 7/15= 8/15   8/15
Answer: C
If the height of a right cone C is 3 and the diameter of the base of C is 8, what is the distance from the apex of C to any point on the circumference of the base of C?
Answers:
A) 3√2  B) 5  C) 5√2  D) √(67)  E) √(73)

Solution: height of cone=3   radius of base=4   so the distance from the apex of C to any point on the circumference of the base of C will be a right angled triangle   Hence the distance is sqrt(3^2+4^2)= 5   ANSWER:5
Answer: B
Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Answers.
A) 4 hrs	B) 4 hrs 24 min	C) 4 hrs 26 min	D) 4 hrs 04 min	E) 4 hrs 22 min

Solution: 1/4 + 1/5 = 9/20   20/9 = 2 2/9   9/20 * 2 = 9/10 ---- 4 hours   WR = 1 - 9/10 = 1/10   1 h ---- 1/4   ? ----- 1/10   2/5 * 60= 
2/5 * 60 = 24
24= 4 hrs 24 min   Answer:4 hrs 24 min
Answer: B
There are six cards in which it has two king cards. all cards are turned down and two cards are opened :
a) what is the possibility to get at least one king.
b) what is the possibility to get two kings. Choose one
A) a = 1/15 , b = 3/5  B) a = 3/5 , b = 1/15  C) a = 2/15 , b = 4/5  D) a = 6/15 , b = 3/5  E) a = 6/15 , b = 7/5

Solution: Explanation :   a)   POSSIBILITY TO GET AT LEAST ONE KING IS :   => = 2C1* 4C1/6C2 + 2C2/6C2   => = 8/15+1/15   => = 3/5   b)   P0SSIBLITY TO GET TWO KINGS IS :   => =2C2/6C2   => =1/15   Hence (B) is the correct answer.   Answer : a = 3/5 , b = 1/15
Answer: B
A and B start a business, with A investing the total capital of Rs.10000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1000 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?	Pick one.
A) A)59000  B) B)37000  C) C)48000  D) D)59000  E) E)67000

Solution: Interest received by A from B = 10% of half of Rs.10000 = 10% * 5000 = 500.   Amount received by A per annum for being a working partner = 1000 * 12 = Rs.12000.   Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (500 + 12000 + P)   Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.   Income of A = Twice the income of 37000   (500 + 12000 + P) = 2(P)   P = 12500   Total profit = 2P + 12000   = 2*12500 + 12000= 
2*12500 + 12000 = 37_000
37000   Answer:37000
Answer: B
The diagonals of a rhombus are 20 cm and 25 cm. Find its area?	Select the correct option
A) 158  B) 129  C) 250  D) 123  E) 117

Solution: 1/2 * 20 * 25= 
1/2 * 20 * 25 = 250
250   Answer:250
Answer: C
What missing numberin the Sequence 5 15 5 18 5 ? 14 20 5  Choose the most appropriate option.
A) 23 B) 76 C) 12 D) 55 E) 24

Solution: 24   24   write the numbers in ascending order in words as   on24 (Position of '24' in alphabet is 5)   twO (Position of 'O' in alphabet is 15)   thre24 (Position of '24' in alphabet is 5)   fouR (Position of 'R' in alphabet is 18)   and so one
Answer: E
A trader lists his articles at 30% above cost price and allows a discount of 10% on cash payment. Find his gain percentage
Choose the correct choice from the following
A) 117% Gain	B) 100% Gain	C) 17% Profit	D) 17% Loss	E) None of these

Solution: Explanation:   (130 * 90)/100 = Rs.117/-   profit = 17 % profit   Answer: Option 17% Profit
Answer: C
"A dress is marked up by 16 2/3% to make the final price of $ 140"? Select
A) 140	B) 130	C) 120	D) 160	E) 150

Solution: let x be original price   % increase is = 16 2/3% of x = 50/3% of x   final price = $ 140   ==> x + 50/3 * x% = 140   ==> x + 50/300 * x = 140   ==> x + x/6 = 140   ==> 7x/6 = 140   ==> x = 120   ANSWER:120
Answer: C
On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?  Choose the correct choice from the following answers.
A) 40 B) 44.44 C) 42 D) 46 E) 48

Solution: To solve the average speed questions, we need to know the total distance and the total time.   Let us assume that the distance from work = D   This will also be the distance from work to home   Hence total distance travelled = 2D   Time in going to work = D/50,   Time in coming back from work = D/40   Hence average speed of both the trips = 2D/ (D/50 + D/40)   = 2*200/12 = 44.44   44.44
Answer: B
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 9 minutes, then the area of the park (in sq. m) is	Choose the correct choice from the following options
A) 153200	B) 153400	C) 153600	D) 194400	E) 154200

Solution: Perimeter = Distance covered in 9 min. = 12000 x 9 m = 1800 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1800 or x = 180.   Length = 540 m and Breadth = 360 m.   Area = (540 x 360) m2 = 194400 m2.   194400
Answer: D
Find the smallest number which when divided by 13 and 17 leaves respective remainders of 3 and 7. Options:
A) 187	B) 211	C) 207	D) 219	E) 227

Solution: Let 'N' is the smallest number which divided by 13 and 17 leaves respective remainders of 3 and 7.   Required number = (LCM of 13 and 17) - (common difference of divisors and remainders) = (221) - (10)= 
(221) - (10) = 211
211.   ANSWER:211
Answer: B
If x^2 – 13x + 40 = q, and x is a positive integer between 1 and 10, inclusive, what is the probability that q < 0?	Choose the correct choice from the following
A) 1/5
B) 1/10
C) 2/5
D) 3/5
E) 3/10

Solution: (x-5)(x-8) = q   x = 6 or 7 for this to be true, so   2/10 = 1/5   1/5ns :1/5
Answer: A
Without stoppages a train travels a certain distance with an average speed of 180 kmph and with stoppages it covers the same distance with an average speed of 90 kmph. What is the time in minutes per hour for which train stops?  Choose the correct answer:
A) 10 min/hr
B) 20 min/hr
C) 25 min/hr
D) 30 min/hr
E) 35 min/hr

Solution: Pick a smart number for the distance. lets say LCM 180   Without = 180/180= 
180/180 = 1
1 hours   With= 180/90= 
180/90 = 2
2 hours   So in a trip of 2 hours, 1 hour is spent in stoppages   Hence, 60/2= 30 min/hr on stoppages   Answer : 30 min/hr
Answer: D
Find large number from below question The difference of two numbers is 1370. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Choose the correct choice from the following answers:
A) 1245
B) 1345
C) 1455
D) 1577
E) 1641

Solution: Let the smaller number be x. Then larger number = (x + 1370).   x + 1370 = 6x + 15   5x = 1355   x = 271   Large number = 271+1370= 
271+1370 = 1_641
1641   1641
Answer: E
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?	Choose the correct choice from the following choices.
A) 382  B) 782  C) 278  D) 270  E) 881

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: 270
Answer: D
five friends A, B,C,D and E decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 2 time, no apples were left.How many apples were there?
Choose the correct choice from the following answers:	A) 1023	B) 1024	C) 1026	D) 1029	E) 1020

Solution: Whenever the rate of reduction is 'half of the total and half of it', the answer is always (2^n)-1, where 'n' is the number of times the process is repeated. Here, the process is repeated 10 times. So answer is (2^10)-1=1023   1023nswer 1023
Answer: A
The combined salaries of three brothers is $225,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?	Choose the correct choice from the following answers:
A) 35,000 B) 55,000 C) 50,000 D) 30,000 E) 40,000

Solution: Mr. Small = x;   Mr. Middle = 3/2*x;   Mr. Big = 2x.   x + 3/2*x + 2x = 225 --> x=50   Answer: 50,000
Answer: C
A car going at 30 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.? Choose the correct choice from the following choices:	A) 45	B) 50	C) 53	D) 55	E) 60

Solution: Let Car A = car that starts at 9 AM   Car B = car that starts at 9:10 AM   Time for which car A travels at speed of 30 m per hour = 1.5 hours   Distance travelled by Car A =30 *1.5= 
30 *1.5 = 45
45 miles   Since Car B catches up Car A at 10:30 , time= 80 mins = 4/3 hour   Speed of Car B = 45/(4/3) = 60 miles per hour   Answer 60
Answer: E
At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 30 of which were white and 5 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?  Choose the correct choice from the following choices:	A) 20%	B) 25%	C) 50%	D) 75%	E) 80%

Solution: R + W + P = 120   S + L = 120   1/3 * 120= 
1/3 * 120 = 40
40   Short-Stemmed White= 30   Short-Stemmed Pink = 5   => Short-Stemmed Red = 5   5/P = 5/R   => R = P   So Total Long Stemmed = 80   And Long Stemmed Red + Long Stemmed Pink = 80   So Long Stemmed Red/Long Stemmed = ?   Total White = 30 (As no Long stemmed white)   => R + R + 30 = 120   => 2R =90 and R = 45   Long Stemmed R = 45 - 5= 
45 - 5 = 40
40   So Long Stemmed Red/R= 40/80 = 50%   Answer - 80%
Answer: E
Find the area of trapezium whose parallel sides are 28 cm and 20 cm long, and the distance between them is 21 cm?  Options:
A) 288 cm2  B) 277 cm2  C) 504 cm2  D) 510 cm2  E) 287 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (28 + 20) * (21)   = 504 cm2   Answer: 504 cm2
Answer: C
A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%?
Choose the correct choice from the following answers:  A) Rs 25300  B) Rs 22300  C) Rs 24300  D) Rs 21300  E) None of these

Solution: Explanation :   This type of question can be easily and quickly solved as following:Let at Rs x it can earn 15% profit   85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]x = (18700 X 115)/85   = Rs.25300   Rs 25300nswer : Rs 25300
Answer: A
In how many years will a sum of money doubles itself at 18% per annum on simple interest?
Choices.
A) 5.9%	B) 5.5%	C) 6%	D) 6.4%	E) 7.5%

Solution: P = (P*18*R)/100   R = 5.5%   Answer:5.5%
Answer: B
If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
Pick one.
A) 30° B) 45° C) 60° D) 90° E) None of these

Solution: Solution   Let AB be the pole and AC be its shadow.   Then, < ACB	= θ.   Then, AB= 2 √3 m, A60° = 2m,   tanθ= AB/A60°=2√3/2   = √3   θ=60°   Answer 60°
Answer: C
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?	Select the correct option:
A) 288
B) 268
C) 375
D) 166
E) 131

Solution: A+B+375 = 1500   A = 1/3(B+375); B = 2/3(A+375)   A/(B+375) = 1/3   A = 1/4 * 1500= 
1/4 * 1500 = 375
> 375   Answer: 375
Answer: C
For any positive x, y and z if x is n% of y and z is m% of y then what percentage must x be of z?	Choose one:	A) (n/m)%	B) (m × n)%	C) (100 / [m × n]) %	D) (100 × m/n)%	E) (100 × n/m)%

Solution: x is n% of y: x=n/100∗y   z is m% of y: z=m100∗y   What percentage must x be of z: xz∗100=n/m∗100   Answer: (100 × n/m)%.
Answer: E
Three people are to be seated on a bench. How many different sitting arrangements are possible if Erik must sit next to Joe?  Answers:
A) 2.
B) 4.
C) 6.
D) 8.
E) 10.

Solution: Possible combinations can be   1. Erik Joe X   2. X Erik Joe   3. Joe Erik X   4. X Joe Erik   Hence, answer is 4..
Answer: B
What will be the output of the following code statements?
Integer a = 25, b = 40, c = 10 print (a × b / c) – c Options:	A) 65	B) 26	C) 29	D) 26	E) 90

Solution: 90xplanation:   Apply BODMAS rule   25 × 40 = 1000/10-10 =100 –10 =90   Answer:90
Answer: E
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 40hr. If all pipes are opened simultaneously, then the cistern will be filled in Pick
A) 6.32 hr	B) 8 hr	C) 8.5 hr	D) 10 hr	E) None of these

Solution: Solution:   Work done by all the tanks working together in 1 hour.   1/10+1/12−1/40=3/19   Hence, tank will be filled in 19/3=6.32 hour   Option(6.32 hr)
Answer: A
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 5:4. What is the ratio of luxury cars to sport utility vehicles?	Answers:  A) 9:8  B) 8:9  C) 3:2  D) 10:12  E) 1:2

Solution: The ratio of economy to luxury cars is 3:2 --> E:L = 3:2 = 15:10.   The ratio of economy cars to sport utility vehicles is 5:4 --> E:S = 5:4 = 15:12.   Thus, L:S = 10:12.   Answer: 10:12.
Answer: D
The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 70 black cars in the lot, how many red cars are there in the lot?  Answers.
A) 11 B) 26 C) 24 D) 27 E) 32

Solution: 26 is correct   R/26 = 3/8 and 26 =70   R = 70*3/8 = 26
Answer: B
A train 70 m long, running with a speed of 63 km/hr will pass a tree in?  Pick.
A) 140 sec	B) 160 sec	C) 176 sec	D) 150 sec	E) 170 sec

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 70 * 2/35 = 140 sec   140 secnswer:140 sec
Answer: A
Find the middle one when The sum of three consecutive even numbers is 36?
Choose the correct choice from the following:	A) 10	B) 12	C) 14	D) 18	E) 22

Solution: 3 consecutive numbers can be a - 1, a, a + 1   So sum of numbers = 3a = 36.   Hence a = 12.   12
Answer: B