MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 10 cm.	Choose the correct answer.
A) 140 cm2  B) 185 cm2  C) 185 cm2  D) 185 cm2  E) 195 cm2

Solution: Explanation:   140 cm2rea of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (10 + 18) * (10) = 140 cm2   140 cm2nswer: Option 140 cm2
Answer: A
45 men can complete a work in 14 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?	Choose the correct choice from the following answers
A) 6 B) 10 C) 15 D) 7 E) 4.8

Solution: 45*14 men can complete the work in 1 day   1 man's 1 day work = 1/630   45 men 6 days work = 6*1/14 = 3/7   remaining work = 1-3/7 = 4/7   75 men's 1 day's work = 75/630 = 5/42   4/7 work is done by them in  42/5 * 4/7= 
 42/5 * 4/7 = 24/5 = around 4.8
4.8 days   Answer is 4.8
Answer: E
On a ferry, there are 32 cars and 8 trucks. The cars have an average mass of 900 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?	Answers
A) 1200 B) 1240 C) 1280 D) 1320 E) 1360

Solution: The total mass of the vehicles is 32*900+8*3000= 
32*900+8*3000 = 52_800
52800   The average mass is   52800/40= 
  52800/40 = 1_320
1320   The answer is 1320.
Answer: D
If the sides of a triangle are 26 cm, 24 cm and 12 cm, what is its area?	Choose the correct choice from the following choices:	A) 120 cm2	B) 112 cm2	C) 144 cm2	D) 666 cm2	E) 886 cm2

Solution: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.   Area of the triangle = 1/2 * 24 * 12= 
1/2 * 24 * 12 = 144
144 cm2   Answer: 144 cm2
Answer: C
Which one of the following numbers is a solution of the equation
(x(2sq)-2)(x(2sq) + 6)(x(third3)-8) = 0?
Answers
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: One checks each of the ve given possible answers. Since 2-3third- - 8 = 0, the answer   is 2.   correct answer 2
Answer: B
In a consumer survey, 70% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?	Select the correct option
A) 5	B) 10	C) 15	D) 20	E) 25

Solution: pick 100 and x= all set with exactly two items   70=30+50+20 -(X)-10   X=20   so the answer is 20+5/100= 25%   Answer 25
Answer: E
Three partners A, B, C in a business invested money such that 3(Aâ€™s capital) = 2(Bâ€™s capital) = 5(Câ€™s capital) then, The ratio of their capitals is Answers:
A) 63 : 45 : 34
B) 63 : 54 : 34
C) 36 : 54 : 28
D) 63 : 45 : 35
E) 10 : 15 : 6

Solution: Explanation:   Let 3(Aâ€™s capital) = 2(Bâ€™s capital) = 5(Câ€™s capital) = Rs.x   Then, Aâ€™s capital = Rs x/3, Bâ€™s capital = Rs. x/2 and Câ€™s capital = Rs. x/5.   A : B : C = x/3 : x/2 : x/5   10 : 15 : 6   Answer: Option 10 : 15 : 6
Answer: E
Rs. 850 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 850 become in 3 years ?  Choose the correct choice from the following answers
A) Rs. 1020.80 B) Rs. 1025 C) Rs. 1058 D) Data inadequate E) None of these

Solution: Solution   S.I. = Rs.(956-850 )=Rs.106   Rate = (100x106/850x3) = 212/51%   New rate = (212/51 +4)% = 416/51%   New S.I. = Rs.(850 x416/51x3/100) Rs. 208.   ∴ New amount = Rs.(850+208)= Rs. 1058.   Answer Rs. 1058
Answer: C
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 41 films, and broke even on none of them, how many of their films were profitable?	Pick:
A) 18 B) 19 C) 20 D) 21 E) 40

Solution: After fiddling some more, this is how I got to answer choice 40...but did I get here using voodoo math or is it sound?   (.60*.75) + (.40*.25) = .44 + .10 = .55   55/100 = 11/20   Then subtract from 41:   41 - 11/20 = 40 (answer 40)
Answer: E
Instead of multiplying a number by 2, the number is divided by 10. What is the percentage of error obtained ?  Select:
A) 94%
B) 92%
C) 95%
D) 93%
E) 97%

Solution: let the number be x   the right number is 2x   the wrong number is x/10   error is(2x-x/10)=19x/10   percentage of error is((19x/10)/2x)*100=95%   ANSWER:95% ((19 /10)/2 )*100= 
 ((19 /10)/2 )*100 = 95
95%   ANSWER:95%
Answer: C
Eight years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages? Choose the correct choice from the following:
A) 33
B) 67
C) 28
D) 31
E) 35

Solution: Let present age of P and Q be 3x3x and 4x4x respectively.   Eight years ago, P was half of Q's age   â‡’(3xâˆ’8)=1/2(4xâˆ’8)   â‡’6xâˆ’16=4xâˆ’8   â‡’2x=8   â‡’x=4   Total of their present ages   =3x+4x=7x3 +4= 
3 +4 = 7
7x=7Ã—4=28   28
Answer: C
Albert invested amount of 4000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit	Choose the correct choice from the following:	A) Rs. 8510	B) Rs. 8620	C) Rs. 4410	D) Rs. 8820	E) None of these

Solution: Explanation:   =>(4000×(1+5/100)2)   =>4000×21/20×21/20   =>4410   Option Rs. 4410
Answer: C
Total dinning bill for 6 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share  Choose the correct choice from the following options: A) $30.14 B) 40.44 C) 34.66 D) 32.29 E) 33.16

Solution: 211*15= 
211*15 = 3_165
3165/100= 
3165/100 = 633/20 = around 31.65
31.65   211+31.65= 
211+31.65 = 242.65
242.65   242.65/6=40.44   ANSWER:40.44
Answer: B
The probability is 0.6 that an “unfair” coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that at least one of the tosses will turn up tails? Choose the correct option.
A) 0.064	B) 0.36	C) 0.64	D) 0.784	E) 0.936

Solution: probability that at least one of the tosses will turn up tails = 1 - probability that all will be heads   = 1 - (0.4*0.4*0.4)   = 1 - 0.064= 
1 - 0.064 = 0.936
0.936 0.936
Answer: E
If x is a positive even number, then each of the following is even odd EXCEPT Choose the correct choice from the following options:
A) (x + 3)(x + 5)  B) x^2 +4  C) x^2 + 6x + 9  D) 3x^2 + 4  E) 5(x + 3)

Solution: Since it is given tht x is even number, so any integer multiplied with x will also be even..   so, we should concentrate only on other terms..   lets see the choices..   A. (x + 3)(x + 5)   We have two terms with x and each is added with a odd number..   each bracket becomes odd and Odd*Odd=Odd   B. x^2 + 5   here we are adding an Odd number to even.. so E + O=O   C. x^2 + 6x + 9   here we are again adding an Odd number to even.. so E +E + O=O   D. 3x^2 + 4   here we are adding an Even number to even.. so E + E=E..   so tjis is our answer   E. 5(x + 3)   again O*O=O   x^2 +4
Answer: B
Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 10% so that the total annual income will be equal to 6% of her entire investment?
Pick one:
A) 120
B) 600
C) 1000
D) 360
E) 240

Solution: Let the additional invested amount for 10% interest be x;   Equation will be;   2400+0.05*2400+x+0.10x = 2400+x+0.06(2400+x)   0.05*2400+0.10x = 0.06x+0.06*2400   0.04x = 2400(0.06-0.05)   x = 2400*0.01/0.04= 
2400*0.01/0.04 = 600
600   Ans:600
Answer: B
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?  Choose the correct choice from the following choices.
A) 20cm	B) 40cm	C) 30cm	D) 60cm	E) 50cm

Solution: Let breadth =x cm   Then, length =2x cm   Area =x×2x=2x2 sq.cm.   New length =(2x−5) cm   New breadth =(x+5) cm   New area =(2x−5)(x+5) sq.cm.   Given that, new area = initial area +75 sq.cm.   ⇒(2x−5)(x+5)=2x2+75⇒2x2+10x−5x−25=2x2+75⇒5x−25=75⇒5x=75+25= 
75+25 = 100
100⇒x=1005=20 cm   Length =2x=2×20=40cm   Answer is 40cm.
Answer: B
54 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?  Choose the correct choice from the following options
A) A)57
B) B)77
C) C)66
D) D)55
E) E)67

Solution: (54 * 8)/30   = (x * 6)/50   => x =120   120 – 54   = 66   Answer:66
Answer: C
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? Choose the correct choice from the following answers:
A) 3488	B) 37799	C) 6400	D) 2777	E) 2911

Solution: Explanation:   Number of bricks \frac{800\times 600\times 22.5}{25\times 11.25\times 6} = 6400   Answer: 6400) 6400
Answer: C
There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?	Choose the correct answer
A) 156	B) 167	C) 157	D) 352	E) 380

Solution: The total number of stations = 20   From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.   ²⁰P₂ = 20 * 19= 
20 * 19 = 380
380.   Answer: 380
Answer: E
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.  Options
A) 335 cm2  B) 885 cm2  C) 285 cm2  D) 825 cm2  E) 725 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (15)   = 285 cm2   Answer: 285 cm2
Answer: C
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. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies? Options:
A) 3388  B) 2678  C) 2977  D) 6150  E) 2769

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. 1125   45k 45  + 60  + 81  + 60= 
45  + 60  + 81  + 60 = 246
246k   It is given that A paid Rs. 1125   45k= 1125 => k = 25   246k = 246(25) = Rs. 6150   Thus the total rent paid by all the four agencies is Rs. 6150.   \Answer: 6150
Answer: D
Car X began traveling at an average speed of 35 miles per hour. After 48 minutes, car Y began traveling at an average speed of 39 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?  Choose the correct choice from the following answers
A) 105  B) 140  C) 175  D) 210  E) 245

Solution: In 48 minutes, car X travels 28 miles.   Car Y gains 4 miles each hour, so it takes 7 hours to catch car X.   In 7 hours, car X travels 245 miles.   The answer is 245.
Answer: E
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?
Choose one:  A) 3002  B) 3000  C) 3018  D) 3019  E) 4000

Solution: 60*5:36*6:75*3   100: 72: 75   100/247 * 9880= 
100/247 * 9880 = 4_000
4000   Answer: 4000
Answer: E
If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is  Pick one
A) 20% B) 25% C) 30% D) 35% E) None of these

Solution: Explanation:   Let the Cost Price of 1 item = Re. 1   Cost Price of 16 items = 16   Selling Price of 16 items = 12   Loss = 16 - 12= 
16 - 12 = 4
Rs 4   Loss %= (4/16)* 100= 
(4/16)* 100 = 25
25%   Option 25%
Answer: B
Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choose the correct choice from the following:
A) 15 Kmph
B) 17 Kmph
C) 21 Kmph
D) 23 Kmph
E) 27 Kmph

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distence of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   Option '15 Kmph'
Answer: A
Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually? Choose one:
A) $1200 B) $2000 C) $2150 D) $2500 E) $12000

Solution: since the options did not make sense with 5% annual rate of interest, it is apparent that the intent was a 5% quarterly rate. So the bank charges 5% every quarter and compounds it in the next quarter. Had it been a simple quarterly rate, we would have just found 4 * 5% of 10,000 = $2000 as our answer.   But since, the interest is compounded, it will be a bit more than $2000. Option (C) looks correct.   ANSWER:$2150
Answer: C
The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?  Choose the correct choice from the following.
A) 28% B) 50% C) 32% D) 34% E) 39%

Solution: Male = 45,000* 5/9 = 25,000   Female = 45,000* 4/9 = 20,000   Married Male = 25,000* 40/100 = 10,000   Married Female = 10,000   20,000 ------------ 10,000   100 ------------- ? => 50%   Answer:50%
Answer: B
How many odd numbers are possible between 1 to 100000000? find out the number of odd number of digits?  Choose the correct choice from the following answers:  A) 2999  B) 3500  C) 4000  D) 4599  E) 49999999

Solution: There are always one odd and one even no. And the question is odd no. Between 1 to 100000000   So we have to find no. Between 1 to 100000000 so we should not includes 1   100000000/2 -1= 
100000000/2 -1 = 49_999_999
49999999   ANSW49999999R:49999999
Answer: E
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31	Choose the most appropriate option.
A) 2  B) 4  C) 5  D) 6  E) 7

Solution: P ÷ 44 = 432   => P = 432 * 44= 
432 * 44 = 19_008
19008   P / 31= 19008 / 31 = 613, remainder = 5   5
Answer: C
Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 4 minutes A is turned off. After how much more time will the cistern be filled? Options.
A) 6	B) 8 1/1	C) 8 1/4	D) 8 1/2	E) 8 3/7

Solution: 4/12 + (4 + x)/15 = 1   x = 6   6nswer: 6
Answer: A
If √a+√b=a+b means then (√a+√b)^2=? Choose the correct choice from the following
A) a^2+b^2
B) a^2+b^2+2*a*b
C) a+b
D) √a^2+√b^2
E) Cannot be determined

Solution: Option B is answer.   √a+√b=a+b then (√a+√b)^2=(a+b)^2=a^2+b^2+2*a*b.
Answer: B
At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 36 males did not bring gifts to the party, how many females did bring gifts?
Choose the correct choice from the following answers
A) 18
B) 36
C) 42
D) 68
E) 70

Solution: the correct method   total = 300..   70% of 300 = 210 got gifts..   90 did not get gift, out of which 48 are males, so remaining   90-36= 
  90-36 = 54
54 are females..   But 40% females brought gift, so 60% did not get it..   so 60%= 54, 100%= 54*100/60= 90..   ans 40% of 90 =36   36
Answer: B
A train 280 m long, running with a speed of 63 km/hr will pass a tree in? Choose the correct choice from the following answers:
A) 18 sec  B) 16 sec  C) 76 sec  D) 15 sec  E) 17 sec

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 280 * 2/35= 
280 * 2/35 = 16
16 sec   Answer:16 sec
Answer: B
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players? Select the correct option
A) 200 B) 230 C) 364 D) 354 E) 365

Solution: A particular players is never chosen, it means that 11 players are selected out of 14 players.   => Required number of ways = 1436411   = 14!/11!x3! = 364   364
Answer: C
There are 300 seniors at Morse High School, and 40% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 15% of all the students at Morse have cars, how many students are in those other three lower grades?
Pick one
A) 600
B) 900
C) 1200
D) 1350
E) 1500

Solution: Let the total no of students be n.   The no of seniors having cars is 40% of 300 i.e. 120.   The rest of the students with other three grades who have cars is 10% of (n-300).   The total no of students with cars is 15% of n.   Thus, 0.15n= 120+0.1(n-300)   On solving this, we get n=1800.   Hence, the no of students with other three grades is 1800-300, i.e. 1500 (1500).
Answer: E
Calculate the circumference of a circular field whose radius is 2 centimeters.
Choose the correct choice from the following options.
A) 2 B) 4 C) 6 D) 8 E) 10

Solution: Circumference C is given by   C = 2Ï€r = 2Ï€*2 = 4 Ï€ cm   correct answer 42  *2= 
2  *2 = 4
4 Ï€ cm   correct answer 4
Answer: B
Two trains, each 100 m 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	Options.
A) 75 km/hr	B) 60 km/hr	C) 35 km/hr	D) 70 km/hr	E) 80 km/hr

Solution: Total distance covered = 100+100= 
100+100 = 200
200 m   Time= 8 s   let speed of slower train is v . Then the speed of the faster train is 2v   (Since one is moving twice as fast the other)   Relative speed = v + 2v = 3v   3v = 200/8 m/s = 25 m/s   => v = 25/3 m/s   Speed of the faster train = 2v = 50/3 m/s = (50/3)×(36/10) km/hr   = 5×36/3 = 5×12   = 60 km/hr   ANSWER:60 km/hr
Answer: B
A car crosses a 600 m long bridge in 5 minutes. Whatis the speed of car in km per hour?
Pick
A) 1 m/sec  B) 7.2 km/hr  C) 3 m/sec  D) 4 m/sec  E) 5 m/sec

Solution: Speed = 600 m/sec.   5 x 60   = 2 m/sec.   Converting m/sec to km/hr (see important formulas section)   = 2 x 18 km/hr   5   = 7.2 km/hr   7.2 km/hr
Answer: B
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?	Pick one: A) 82.1 sec. B) 12.1 sec C) 19.1 sec. D) 17.1 sec. E) 42.1 sec.

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   Answer: 12.1 sec
Answer: B
When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 4x is divided by 9?	Select:
A) 0
B) 1
C) 2
D) 4
E) 6

Solution: i tried plugging in numbers   x = 9q+5   x = 14   4x 9 +5= 
9 +5 = 14
14   4x= 56   4x/9 = 9*6+2   remainder is 2.   Answer is 2
Answer: C
In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?  Choose the correct choice from the following answers
A) 16^4 B) (4!)^4 C) 16!/(4!)^4 D) 16!/4! E) 4^16

Solution: Total 16 different Gifts, and 4 children.   Thus any one child gets 16C4 gifts,   then the other child gets 12C4 gifts(16 total - 4 already given),   then the third one gets 8C4 gifts,   and the last child gets 4C4 gifts.   Since order in which each child gets the gift is not imp, thus, ans :   1616!/(4!)^44 * 1216!/(4!)^44 * 816!/(4!)^44 * 416!/(4!)^44 = 16! / (4!)^4   Ans : 16!/(4!)^4.
Answer: C
Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 19.6 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?
Choose the correct choice from the following options
A) 12.0  B) 13.0  C) 12.2  D) 12.3  E) 12.4

Solution: let say the factor is x, the at 7PM quantity = 10 (i.e. quantity @1PM)* x^2 =19.6 => x^2 =1.96 or x = 1.3 => @4PM quantity = 10x =10*1.3= 
10*1.3 = 13
13.   Answer 13.0
Answer: B
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost? Choose the correct choice from the following answers.
A) 288  B) 200  C) 999  D) 277  E) 271

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 1.5= 
666 * 1.5 = 999
999   Answer:999
Answer: C
Find the numbers which are in the ratio 3:2:2 such that the sum of the first and the second added to the difference of the third and the second is 20? Choose the correct choice from the following choices
A) 12,8,8  B) 4,4,22  C) 9,3,32  D) 9,6,12  E) 9,2,23

Solution: Let the numbers be a, b and c.   a:b:c = 3:2:2   Given, (a + b) + (c - b) = 20   => a + c = 20   => 3x + 2x = 20 => x =4   a, b, c are 3x, 2x, 2x   a, b, c are 12, 8, 8.   12,8,8nswer:12,8,8
Answer: A
There is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. There is one each bird sitting on top of both the towers. They fly at a constant speed and time to reach a grain in b/w the towers at the same time. At what distance from the church is the grain? Choices: A) 170 meters B) 160 meters C) 150 meters D) 140 meters E) 130 meters

Solution: If x ft is the distance of grain from 200 ft tall tower, then   150^2 +(350-x)^2= 200^2 + x^2   then   x= 150 meters   ANSWER:150 meters
Answer: C
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?  Choose the correct choice: A) 1/8 B) 1/4 C) 2/5 D) 2/7 E) 1/1

Solution: A   1/8   This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result.   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 and so on.
Answer: A
A train running at 1/3 of its own speed reached a place in 9 hours. How much time could be saved if the train would have run at its own speed?  Choose the correct choice from the following:	A) 8hrs	B) 10hrs	C) 12hrs	D) 15hrs	E) 6hrs

Solution: time taken if run its own speed = 1/3*9= 
1/3*9 = 3
3 hrs   Time saved= 9 - 3= 
9 - 3 = 6
6 hrs   Answer : 6hrs
Answer: E
The ratio of two numbers is 1:3 and the sum of their cubes is 945. The difference of number is?  Pick one.
A) 5.23	B) 1.23	C) 3.93	D) 3.23	E) 4.23

Solution: 1x 3x   1x cube + 27x cube = 945   28x cube = 945   x cube = 33.75 => x = 3.23   ANSWER:3.23
Answer: D
If ‘DELHI’ is coded as ‘EFMIJ’, then ‘PUNE’ is coded as
Choices.
A) QVOF  B) TGFR  C) RFDE  D) QVOO  E) YHGT

Solution: D= 4 = 4+1= 
4+1 = 5
5= E   E = 5 =5+1= 
5+1 = 6
6= F   SIMILQVOFRLY,   P = 16 = 16+1= 
16+1 = 17
17= Q   U = 21 = 21+1= 
21+1 = 22
22= V   N = 14 = 14+1= 
14+1 = 15
15= O   E = 4 = 4 +1= 
4 +1 = 5
5= F   SO QVOFNS IS   QVOF
Answer: A
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:  Choose the correct choice from the following answers:
A) 12
B) 15
C) 18
D) 20
E) 22

Solution: Explanation:   Dividend on Rs. 20 = Rs. (9/100) x 20 = Rs.9/5.   Rs. 12 is an income on Rs. 100.   Rs.9/5 is an income on Rs.[ (100/12) x (9/5)] = Rs. 15.   Answer: 15
Answer: B
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choose the correct choice:
A) 75 cu. m
B) 750 cu. m
C) 7500 cu. m
D) 75000 cu. m
E) 7.50 cu. m

Solution: 1 hectare = 10000 sq mtr   The volume of water that falls on 1.5 hectares of ground = 0.05*1.5*10000 = 75*10 cu, mtr = 750 cub mtr .   ANSWER:750 cu. m
Answer: B
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:  Choose the correct choice from the following options.
A) 6.06%  B) 6.07%  C) 6.08%  D) 6.09%  E) 6.10%

Solution: Explanation:   Amount of Rs. 100 for 1 year = Rs.[100 x (1 + 3/100)2]=Rs. 106.09   when compounded half-yearly   Effective rate = (106.09 - 100)= 
(106.09 - 100) = 6.09
6.09%   ANSWER IS 6.09%
Answer: D