MU-NLPC/Calc-aqua_rat huggingface dataset:
Machine P takes 40 hours longer than machine Q to produce 1080 Widgets. Machine Q produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine P produce	Choose the correct option
A) 100
B) 65
C) 2.5
D) 11
E) 4.5

Solution: Machine Q produces 20 percent more widgets in an hour than machine x does in an hour.   So if machine P produces 100 widgets, then machine Y produces 120 widgets.   Ratio of 120/100 = 6/5.   This is their speed of work (Q:P).   i.e. speed of their work (P:Q) = 5/6   Now, time is inversely proportional to speed.   Hence the ratio of the time spent (P:Q)= 6/5   Let us assume that they spend 6x and 5x hours.   Given that 6x-5x = 40   So, x = 40.   Hence 6x = 6*40= 
6*40 = 240
240 hours.   Hence P takes 240 hours to produce 1080 widgets.   So, in 1 hour, it can produce  (1 * 1080)/240= 
 (1 * 1080)/240 = 9/2 = around 4.5
4.5   Hence option (4.5).
Answer: E
Calculate 469160 x 9999 = ?
Choose the correct choice: A) 4691130840 B) 4686970743 C) 4691100843 D) 4586870843 E) NONE

Solution: Answer   469160 x 9999 = 469160 x (10000-1)   = 4691600000 - 469160= 
4691600000 - 469160 = 4_691_130_840
4691130840.   Option: 4691130840
Answer: A
What is the ratio whose term differ by 45 and the measure of which is 2/7?  Choose one
A) A)32:23 B) B)16:56 C) C)16:63 D) D)32:39 E) E)41:52

Solution: Let the ratio be x:(x+45)   Then, x/(x+45) = 2/7   x=18   required ratio = 16:63   Answer is 16:63
Answer: C
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?	Pick:
A) 58kgs	B) 58.85kgs	C) 58.95kgs	D) 59kgs	E) 59.85kgs

Solution: Actual total weight is (20X 58.4 - 56 + 65) = 1177 Kgs   Actual average weight is   1177/20= 
  1177/20 = 1_177/20 = around 58.85
58.85kgs   58.85kgs
Answer: B
Two trains, each 100 metre long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is  Answers
A) 65 km/hr	B) 60 km/hr	C) 45 km/hr	D) 75 km/hr	E) 80 km/hr

Solution: tot dist = (100+100)= 
(100+100) = 200
200 m   time= 8 sec   let speed of slower train = vm/s   then speed of the faster train = 2vm/s   relative speed = (v+2v)=3v m/s   3v=200/8= 
200/8 = 25
25/3   speed of the faster train= 2v = 50/3 m/s   50/3*8/5km/hr = 60km/hr   ANSWER 60 km/hr
Answer: B
23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.	Pick one
A) 22	B) 23	C) 44	D) 46	E) 45

Solution: last member can shake with the 1st one.   hence (n-1+1)=23   ANSWER:23
Answer: B
what will be the next number in the following series??
2, 1, (1/2), (1/4),...  Answers:	A) 1/3	B) 1/8	C) 2/8	D) 1/16	E) 3/8

Solution: 4/2= 
4/2 = 2
2   2/2= 
2/2 = 1
1   1/2=1/2   (1/2)/2=1/4   (1/4)/2=1/8   so answer is 1/8   ANSWER:1/8
Answer: B
A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 390. Find the number of years.	Choose the correct answer:
A) 3.5
B) 3.75
C) 4
D) 3.9
E) 4.5

Solution: (1000xtx3/100) + (1400xtx5/100) = 390 â†’ t =3.9 answer 3.9
Answer: D
A 270 metres long train running at the speed of 120 kmph 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 option:
A) 180	B) 210	C) 230	D) 240	E) 280

Solution: Relative speed = (120 + 80) km/h =200x 5/18 m/s   = 500/ 18 m/sec   Let the length of the other train be x metres.   Then, x + 270/9 = 500/9   x + 270 = 500   x = 230.   Answer: 230
Answer: C
0.0007?=0.01  Choose the most appropriate option
A) 70	B) 7	C) 0.7	D) 0.07	E) None of these

Solution: Explanation :   Required Answer = 0.0007/0.01= 
0.0007/0.01 = 0.07
0.07/1= 0.07. Answer : Option 0.07
Answer: D
Find the product of the localvalue and absolutevalue of 5 in 20568?	Choices
A) 1000
B) 2500
C) 1200
D) 5000
E) 1600

Solution: Local value of 5 = 5 x 100 = 500   Place value of 5 = 5   There fore = 5 x 500 = 2500   2500
Answer: B
A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?	Choose the correct answer.
A) 288  B) 266  C) 288  D) 200  E) 111

Solution: 25 + 25= 
25 + 25 = 50
50   25% ------ 50   100% ----- ?=> 200   Answer: 200
Answer: D
A shopkeeper sold an article offering a discount of 5% and earned a profit of 21.6%. What would have been the percentage of profit earned if no discount was offered?  Choose one:
A) 60%
B) 28%
C) 30%
D) 56%
E) 73%

Solution: Let C.P. be Rs. 100.   Then, S.P. = Rs. 121.60   Let marked price be Rs. x. Then, 95/100 x = 121.60   x = 12160/95 = Rs. 128   Now, S.P. = Rs. 128, C.P. = Rs. 100   Profit % = 28%.   Answer: 28%
Answer: B
The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
Choose the correct choice from the following answers
A) 432 sq m B) 356 sq m C) 243 sq m D) 428 sq m E) 528 sq m

Solution: 2(3x + x) = 72   l = 27 b = 9   lb = 27 * 9= 
27 * 9 = 243
243   ANSWER:243 sq m
Answer: C
John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at the rate of Rs.8.75 per kg. He
mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit as the
cost price?
Options:
A) Rs.12
B) Rs.8
C) Rs.16
D) Rs.20
E) None of these

Solution: Explanation :   CP=20×8.5+35×8.75=170+306.25= 
170+306.25 = 476.25
476.25Profit=40%SP=(100+Profit%)100×CP=(100+40)100×476.25=140   100×476.25=1404×19.05=35×19.05Total quantity = 20 + 35= 
20 + 35 = 55
55 KgSP per   Kg=35×19.0555=7×19.0511≈7×1911≈13311≈12   Rs.12nswer : Option Rs.12
Answer: A
What least number should be added to 1024, so that the sum is completely divisible by 25?
Select:  A) 1  B) 3  C) 2  D) 0  E) 5

Solution: 1024 Ã· 25 = 40 with remainder = 24   24 + 1= 
24 + 1 = 25
25.   Hence 1 should be added to 1024 so that the sum will be divisible by 25   1nswer: Option 1
Answer: A
What will be the compound interest on a sum of Rs. 23,000 after 3 years at the rate of 12% p.a.?
Choose the correct choice from the following choices:	A) Rs. 9313.34	B) Rs. 9720	C) Rs. 10123.20	D) Rs. 10483.20	E) None

Solution: Amount = [23000 * (1 + 12/100)3]   = 23000 * 28/25 * 28/25 * 28/25 = Rs. 32313.34   C.I. = (32313.34- 23000) = Rs. 9313.34   Rs. 9313.34NSWER:Rs. 9313.34
Answer: A
Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: F17, K22, __, U32, Z37, ... What number should fill the blank? Select:
A) N25
B) O26
C) P27
D) Q28
E) R29

Solution: P27   P27   In this series, the letters progress by 5, and the numbers increase by 5.
Answer: C
Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 4 scones must be equal to which of the following? Choose the correct choice from the following choices:
A) Y/10
B) 200/Y
C) 100Y/(8X)
D) XY/200
E) Y/(5X)

Solution: Rachel eats 4 scones/10 minutes = 2/5 scones per minute   The time for Rachel to eat 1 scone is 5/2 minutes.   The time for Rachel to eat Y scones is 5Y/2 minutes.   The time for Henry to eat X scones is 5YX/200 minutes.   The time for Henry to eat 1 scone is 5Y/200 minutes.   The time for Henry to eat 4 scones is 20Y/200 = Y/10 minutes.   The answer is Y/10.
Answer: A
20 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.	Choose the correct option.
A) 190 B) 200 C) 210 D) 220 E) 230

Solution: 1st person will shake hand with 19 people   2nd person will shake hand with 18 people   3rd person will shake hand with 17 people   ......   total no. of handshakes = 19+18+17+...+3+2+1 = 19*(19+1)/2= 
19*(19+1)/2 = 190
190   or, if there are n persons then no. of shakehands= nC2 = 20C2 = 190   190NSWER:190
Answer: A
A man buys a cycle for Rs. 1400 and sells it at a loss of 25%. What is the selling price of the cycle?  Answers.
A) s. 1050	B) s. 1160	C) s. 1190	D) s. 1202	E) s. 1204

Solution: since,c.p=1400   loss%=(c.p-s.p)/c.p*100   25=(1400-s.p)/1400*100   so,after solving answer=1050.   s. 1050NSWER:s. 1050
Answer: A
A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Pick one:  A) Rs 662  B) Rs 662.01  C) Rs 662.02  D) Rs 662.03  E) None of these

Solution: Explanation:   =[200(21/20×21/20×21/20)+200(21/20×21/20)+200(21/20)]=662.02   Option Rs 662.02
Answer: C
How many trailing Zeroes does 49! + 50! have? Choose the correct choice from the following options.
A) 9	B) 10	C) 11	D) 12	E) 22

Solution: 49!+50!= 51*49!   No of trailing 0's = no of 5*2   no of 2's = 49/2+49/4+49/8+49/16+49/32 = D   no of 5's = 49/5+49/25=10=P   now since   P < D   no of trailing 0's = 10   ANSWER:10
Answer: B
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 12 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?	Choices:
A) 31.25	B) 31.5	C) 33.75	D) 35.0	E) 37.5

Solution: Rate of flow of water in second hour = 12 gallons per hour   Rate of flow of water in first hour = 12/(3/2)= 
12/(3/2) = 8
8 gallons per hour   Rate of flow of water in third hour= (125/100)* 12 = (5/4) * 12= 
(5/4) * 12 = 15
15 gallons per hour   Number of gallons of water that flowed through the pipe during the entire 3 hours= 12+8+15= 
12+8+15 = 35
35 gallons   Answer 35.0
Answer: D
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 82. How many points altogether did the team score?  Options
A) 662
B) 672
C) 652
D) 646
E) 721

Solution: 8 * 82= 
8 * 82 = 656
656 – 10= 646   ANSWER:646
Answer: D
Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $42 of gas?  Select:	A) 196	B) 284	C) 336	D) 412	E) 572

Solution: 42/4= 
42/4 = 21/2 = around 10.5
10.5 gallons     10.5*32= 
  10.5*32 = 336
336 miles   The answer is 336.
Answer: C
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 55 and the turban. Find the price of the turban.
Pick
A) 27	B) 36	C) 29	D) 50	E) 11

Solution: Let the price of turban be x.   Thus, for one year the salary = (90 + x)   For 9 months he should earn 3434 (90 + x).   Now he gets one turban and Rs. 55.   Thus, 3434 (90 + x) = 55 + x or 270 + 3x = 220 + 4x or x = 50   Answer:50
Answer: D
Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 3000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally? Select the correct option:
A) 13,000
B) 11,600
C) 12,000
D) 14,000
E) 16,400

Solution: Let the number of shares be x.   5*x -10000(money paid in taxes) = 6(x- 3000)   Solving for x, we get the shares as 13000.   13,000ns :(Option 13,000)
Answer: A
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?	Choose the correct choice from the following choices.
A) 120 B) 772 C) 288 D) 266 E) 2848

Solution: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.   120rea of the triangle = 1/2 * 24 * 10= 
1/2 * 24 * 10 = 120
120 cm2   120nswer: 120
Answer: A
Month	Average Price
per Dozen
April $1.2
May $1.20
June $3.3
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?	Choose the correct option:
A) 1.8
B) 1.9
C) 2.04
D) 2.13
E) 2

Solution: Say x dozen eggs were sold in May.   Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.   Total x+2x/3+4x/3=3x dozen eggs were sold in three months.   Total sales: 2x/3*1.2+x*1.2+4x/3*3.3=$6.4x. The average price per dozen 6.4x/3x=$ 2.13   2.13
Answer: D
The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?	Choose the correct option:
A) 15	B) 18	C) 77	D) 52	E) 42

Solution: 90 * 12/60= 
90 * 12/60 = 18
18 kmph   Answer:18
Answer: B
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time L will it take to fill the bucket to full capacity?
Choose the correct choice from the following options.
A) 7/18	B) 9/18	C) 2	D) 18/7	E) 18/5

Solution: Solution -   Work and Time are directly proportional. W1/W2=T1/T2   7/10 work in 6 mins   1 work in T mins   (7/10)/1 = 6/T -> T = 60/7 mins.   Remaining minutes to fill the tank L = 60/7 - 6 = 18/7 mins. ANS 18/7.
Answer: D
A 6% stock yields 8% . The market value of the stock is : Options:
A) 33
B) 75
C) 298
D) 27
E) 29

Solution: Explanation:   For an income of Rs. 8, investment = Rs. 100.   For an income of Rs 6, investment =Rs. \inline \left ( \frac{100}{8} \times 6\right ) = Rs. 75   Market value of Rs. 100 stock = Rs. 75.   Answer: 75) Rs.75
Answer: B
220 metres long yard, 21 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2 consecutive trees  Options: A) 10 B) 12 C) 14 D) 11 E) 17

Solution: 21 trees have 20 gaps between them,   Required distance (220/20)= 
(220/20) = 11
11   11
Answer: D
How many 5's are there preceded by 2 but not followed by 6?
5 9 3 2 1 2 6 7 4 9 2 5 2 1 3 2 8 2 5 1 3 8 3 2 5 6 2 5 3 9 5 8 2 0 1 8 7 4 6 3
Choose the correct choice from the following answers
A) 4  B) 5  C) 6  D) 8  E) 3

Solution: 2 5 2   2 5 3   2 5 1   Only at these places 3 is preceded by 2 but not followed by 6   Answer: 3
Answer: E
How much more would Rs.60000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?  Choose the correct option:
A) 482  B) 725  C) 992  D) 1446  E) 923

Solution: 60000(11/10)4 - 60000(6/5)2 = 1446   Answer:1446
Answer: D
Martha takes a road trip from point A to point B. She drives x percent of the distance at 40 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?  Choose the correct choice from the following choices:
A) 110  B) 300  C) 1,100  D) 3,000  E) 20,000

Solution: total distance = d   total time taken = x/(100*40) + (100-x)/(100*50)   speed = distance / time   gives numerator = 20000   Answer : 20,000
Answer: E
A train covers a distance of 14 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?  Select the correct option.
A) m  B) m  C) m  D) m  E) m

Solution: Speed = (14/10 * 60) km/hr   = (84 * 5/18) m/sec = 70/3 m/sec.   Length of the train = 70/3 * 6= 
70/3 * 6 = 140
140 m.   Answer:m
Answer: C
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Choose the most appropriate option:	A) 3.12 km	B) 2.88 km	C) 3 km	D) 2 km	E) 4 km

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   ANSWER:2.88 km
Answer: B
What is the dividend. divisor 18, the quotient is 9 and the remainder is 3
Choose the correct choice from the following answers: A) A)145 B) B)148 C) C)165 D) D)153 E) E)158

Solution: D = d * Q + R   D = 18 * 9 + 3   D = 162 + 3= 
162 + 3 = 165
165   Answer : 165
Answer: C
A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Options
A) 4 km/hr.	B) 6 km/hr	C) 8 km/hr	D) 14 km/hr	E) None of these

Solution: Explanation :   Solution: Let the speed be x km/hr. then,   15x - (15 * 29x/30) = 3   => 30x-29x = 3*2   => x = 6 km/hr.   Answer : 6 km/hr
Answer: B
A dishonest milkman sells a 40 liter mixture of milk and water that contains milk and water in the ratio of 3:1. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?	Choose the correct choice from the following answers:	A) 1:1	B) 3:5	C) 2:3	D) 3:2	E) 5:3

Solution: ............................... Milk ............... Water ....................... Total   Initial ......................30 .................... 10 .............................. 40   20 Lts mix. taken out 30-15 ............... 10-5 ........................... 40-20   20 Lts milk added..... 15+20 ................ 5 .............................. 40   20 Lts mix. taken out 35-15 ............... 5-5 ........................... 40-20   20 Lts water added..... 20 ................ 0+20 .............................. 40   New ratio = 20:20= 1:1   1:1
Answer: A
Due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? Options:
A) A) 4.99  B) B) 8  C) C) 10  D) D) 15  E) E) 24

Solution: Old time in minutes to cross 8 miles stretch = 8*60/55 = 8*12/11 = 8.72   New time in minutes to cross 8 miles stretch = 8*60/35 = 8*12/7 = 13.71   Time difference = 4.99   4.99ns:4.99
Answer: A
John walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 10 hours 40 minutes. He would have gained 4 hours by driving both ways. How long would it have taken for him to walk both ways.	Select the correct option: A) 15 h 15 min B) 11 h 10 min C) 14 h 40 min D) 10 h 10 min E) 9 h 45 min

Solution: 1.Walking to to a viewpoint+Driving back=10 hours 40 minutes   2.Driving to a viewpoint+Driving back=10 hours 40 minutes - 4 hours=6 hours 40 minutes, thereforeone way driving=6 hours 40 minutes/2 =3 hours 20 minutes.   3. From 1.one way driving=10 hours 40 minutes-3 hours 20 minutes=7 hours 20 minutes.   4.Walking to to a viewpoint+Walking back=7 hours 20 minutes+7hours 20 minutes=14 hours 40 minutes.   Answer: 14 h 40 min
Answer: C
In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choose the correct option:
A) 10 %
B) 5 %
C) 12 %
D) 16 %
E) 20%

Solution: 20%xplanation:   P = (P*5*R)/100   R = 20%   Answer: 20%
Answer: E
The sum of present age of Abe and the age before 7 years is 33. Find the present age of Abe. What will be his age after 7 years?
Choices.
A) 25	B) 26	C) 27	D) 28	E) 29

Solution: Present age = x   Before 7yrs, y=x-7   After 7yrs, z=x+7   By the qn,   x+(x-7)=33   2x-7=33   2x=33+7= 
33+7 = 40
40/2= 
40/2 = 20
20   z=x+7   =20+7= 
20+7 = 27
27   ANSWER:27
Answer: C
A train 700m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choose the correct choice from the following options.
A) A)175kmph	B) B)257kmph	C) C)162kmph	D) D)145kmph	E) E)100kmph

Solution: Let the speed of the train be x kmph   Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec   700/[(x+5)*5/18] = 10   10(x+5) = 140*18   x = 257kmph   Answer is 257kmph
Answer: B
A jar contains only red, yellow, and orange marbles. If there are 3 red, 5 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen? Pick.
A) 1/60  B) 1/45  C) 2/45  D) 3/22  E) 5/22

Solution: 5C2*3C1=10*3= 
10*3 = 30
30   12C3=220   3/22   Answer: 3/22
Answer: D
One pump drains one-half of a pond in 2.5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone? Choose the correct choice from the following choices:
A) 1 hour
B) 1.2 hour
C) 3 hours
D) 1.25 hours
E) 6 hours

Solution: The tricky part here, I believed is one half hour = 1/2. Then everything would be easy.   We have the 1st pump working rate/hour = 1/2 : 5/2 = 1/5   Working rate of 2 pumps: 1/2 : 1/2 = 1.   Working rate of 2nd pump: 1 -1/5 = 4/5--> Time taken for the 2nd pump to finish: 1 : 4/5 = 5/4= 
5/4 = 5/4 = around 1.25
1.25 hours.   1.25 hours
Answer: D
The sum of the present age of Henry and Jill is 40. What is their present ages if 8 years ago Henry was twice the age of Jill?	Choose the most appropriate option:
A) 13 and 27 B) 16 and 24 C) 18 and 22 D) 11 and 29 E) none of these

Solution: Let the age of Jill 8 years ago be x, age of Henry be 2x   x+8 + 2x+8 = 40   x = 8   Present ages will be 16 and 24   Answer : 16 and 24
Answer: B
If ‘LONDON’ is coded as ‘KNMCNM’, then ‘INDIA’ is coded as Choose the correct choice from the following:  A) EWSTF  B) RGTDF  C) HMCHZ  D) HTGCVH  E) POJYNMK

Solution: L= 12 = 12-1= 
12-1 = 11
11= K   O = 15 =15-1= 
15-1 = 14
14= N   SIMILARLY,   I = 9 = 9-1= 
9-1 = 8
8= H   N = 14 = 14-1= 
14-1 = 13
13= M   D = 4 = 4-1= 
4-1 = 3
3= HMCHZ   A = 27 = 27 -1= 
27 -1 = 26
26= Z   SO ANS IS   HMHMCHZHZ
Answer: C
Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 45 minutes, for how many kilometers total did she hike east?  Select the correct option
A) 3.625
B) 3.5
C) 4
D) 4.5
E) 5

Solution: Set up two R x T =D cases.   1. 1/10 km/ min x T = 2.75   from which T= 27.5 mins.   We know total journey time now is  45 +27.5= 
 45 +27.5 = 72.5
72.5   The rate is the same ie 1/10km/min.   set up second R x T=D case.   1/10 km/min x 72.5 = 7.25 km   Now the total journey would be halved as distance would be same in each direction. 7.25/2 =3.625.   3.625.
Answer: A
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Choices:
A) 2000 B) 2888 C) 2667 D) 2999 E) 2122

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   2000nswer: 2000
Answer: A
Out of three consecutive odd numbers eleven times the first number is equal to addition of thrice the third number and adding 16 to four times the second . What is the first number? Choose one.
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Description :   => 11x=4(x+2)+16+3(x+4)   => 11x=7x+36   => 4x=36   X=9   Answer 9
Answer: E