MU-NLPC/Calc-aqua_rat huggingface dataset:
The workforce of Company nokia is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers?	Choose the correct choice:
A) 130
B) 135
C) 150
D) 145
E) 140

Solution: let x be the total worker then 0.6x =female worker and 0.4x is male worker then 20 male worker added   06x/(0.4x +20) = 50/100 or 60x = 50*( 0.4x+100) = 20x+ 5000 or 40x = 5000 , x = 125   total worker = 125 +20= 
125 +20 = 145
145   145
Answer: D
For a lottery, three numbers are drawn, each from 1 to 40. A player can win if the product of his or her three numbers is odd. Initially, the same number may be picked up to three times. Later, the rules are changed so that each number may only be picked once. Approximately how much does this reduce a person's probability of winning?	Choices:	A) 01	B) 025	C) 115	D) 125	E) 5

Solution: (1/2)∗(1/2)∗(1/2))−((1/2)∗(19/39)∗(18/38))((1/2)∗(1/2)∗(1/2))−((1/2)∗(19/39)∗(18/38))   ((1/8)−(9/78))((1/8)−(9/78))   (0.125−approx.0.1111)(0.125−approx.0.1111)   01pproximately 0.010.01   01NSWER :01
Answer: A
In a car company, the company made A type cars numbering 20% of B type cars. What is the number of B type of cars as a percentage of A type cars?
Choices:	A) 7%	B) 5%	C) 8%	D) 16%	E) 12%

Solution: A type cars made in a company is 20% of 5% type of cars   If 5% type of cars=10   A type of cars=2   We are asked to find the number of 5% type of cars as a percentage of A type of cars   5%/A=10/2= 
10/2 = 5
5%   Answer is 5%
Answer: B
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Choose the correct choice from the following answers.
A) 2 : 3 B) 4 : 3 C) 6 : 7 D) 9 : 16 E) 9 : 14

Solution: Let the slower train have speed of 1 unit and faster train a speed of   r units of speed.   Let t = time to when the trains meet.   rt 1t   Howrah|-----------------------|----------| Patna   meet   They meet rt units from Howrah and 1t units from Patna   For the second part of the journey the fast train at speed r has 1t   unit of distance and 9 hours to do it   So 1t/r = 9   Slow train has rt units of distance at speed of 1 unit and 16 hours   to do it.   rt/1 = 16   So rt/1 16   ----- = ---- giving r^2 = 16/9   1t/r 9   r = 4/3   ANSWER:4 : 3
Answer: B
The jogging track in a sports complex is 528 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in? Select the correct option:
A) 5.29 min	B) 3.84 min	C) 5.08 min	D) 9.28 min	E) 5.988 min

Solution: Clearly, the two will meet when they are 528 m apart.   To be (4.5 + 3.75)= 
(4.5 + 3.75) = 8.25
8.25 km apart, they take 1 hour.   To be 528 m apart, they take (100/825 * 528/1000) hrs= (528/8250 * 60)= 
(528/8250 * 60) = 96/25 = around 3.84
3.84 min.   Answer: 3.84 min
Answer: B
There are three guys who have equal number of bullets. All of them shoot 8 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Choose the most appropriate option:
A) 18
B) 19
C) 27
D) 31
E) 36

Solution: let initially each was having x bullets   they shot 8 bullets   so 3x-24=x   x=12   so each was having 12 bullets.   total was 36.   ANSW36R:36
Answer: E
In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 10 inches. Find the % correction made by the candidate from his stated height to his actual height? Options:
A) 10  B) 20  C) 17.5  D) 43  E) 50

Solution: His height was = 5 feet 5 inch = 10 + 60= 
10 + 60 = 70
70 inch. Required % correction=70*(1.25-1)= 
70*(1.25-1) = 17.5
17.5   17.5
Answer: C
The length of the bridge, which a train 155 metres long and travelling at 45 km/hr can cross in 30 seconds, is:	Select:
A) 220 m B) 225 m C) 245 m D) 250 m E) 270 m

Solution: Let the length of the bridge:L   The equation now is L+155/12.5m/s(45km/hr or12.5m/s)=30   Solving, L =220m   220 mNSWER:220 m
Answer: A
If (6)(x^2) has four different prime factors, at most how many different prime factors does x have?  Options:  A) 1  B) 2  C) 3  D) 4  E) 5

Solution: x can have at most 4 prime factors, namely the prime factors 2 and 3, plus 2 others.   If x had more than this number of prime factors, then (6)(x^2) would have more than 4 prime factors.   The answer is 4.
Answer: D
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7000, the number of valid votes that the other candidate got, was:
Options.
A) 2800
B) 2700
C) 2900
D) 2200
E) 2520

Solution: E   Number of valid votes = 80% of 7000 = 5600.   Valid votes polled by other candidate = 45% of 6000   = (45/100 x 5600) = 2520.
Answer: E
The average age of 20 men in the class is 16.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?	Choose the correct choice from the following.
A) 15.5 B) 15.4 C) 15.25 D) 15.3 E) 11.4

Solution: Total age of 20 men = 16.6 x 20 = 332   Now, total age of 25 men = 389.   Total age of five men added later = 389 - 332= 
389 - 332 = 57
57.   Hence, the total average of five men= 57/5= 
57/5 = 57/5 = around 11.4
11.4   ANSW11.4R:11.4
Answer: E
In the formula P = 3/(r+3)^3, if r is halved, then P is multiplied by	Choose the correct choice from the following options.
A) 125/64	B) 125	C) 1/64	D) 64/125	E) 1/125

Solution: Say r=2 => P1 = 3/125   when r=1; P2 = 3/64   P2 = 125/64*P1.   125/64nswer : 125/64
Answer: A
If a 3-member subcommittee is to be formed from a certain 9-member committee, how many different such subcommittee are possible?  Choose the correct choice from the following options.
A) 6  B) 18  C) 84  D) 108  E) 216

Solution: 1st member can be selected in 9 ways   2nd can be selected in 8 ways   3rd can be selected in 7 ways   So total ways : 504   But to avoid the similar scenarios 504/3!=84   ANS:84
Answer: C
Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be? Select.
A) Rs. 16,500 B) Rs. 16,525.50 C) Rs. 16,537.50 D) Rs. 18,150 E) Rs. 19,150

Solution: P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year   Amount = [15000 * (1 + 5/100)2]   = (15000 * 21/20 * 21/20) = Rs. 16537.50   ANSWER:Rs. 16,537.50
Answer: C
1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities? Select
A) 0.1 < x < 1	B) 0.01 < x < 0.1	C) 0.001 < x < 0.01	D) 0.0001 < x < 0.001	E) 0.00001 < x < 0.0001

Solution: In the Sequence notice that the sequence is just the 1/(2^n) ...   so for 1st term=1/2^1=1/2   2nd term=1/(2^2)1/4, 3rd term=1/(2^3)=1/8 and so on...   Thus the 10th term will be 1/(2^10)=1/1024   Roughly, 1/1024 can be   1/1000= 
  1/1000 = 1/1_000 = around 0.001
0.001 but since denominator is a bit more than 1000 therefore the actual value will be a bit less than 0.001.   thus the ans will lie btw. 0.00001 and 0.0001.(0.00001 < x < 0.0001)
Answer: E
A train covers a distance at a speed of 150kmph in 3 hours. To cover the same distance in 1 hours, it must travel at a speed of?	Choose the correct option
A) 320
B) 250
C) 560
D) 400
E) 450

Solution: Distance = 150*3= 
150*3 = 450
450km   Required speed= 450/1= 
450/1 = 450
450 km/hr   Answer is 450
Answer: E
Two trains X and Y (80 km from each other) are running towards each other on the same track with a speed of 40km/hr. A bird starts from the train X and travels towards train Y with constant speed of 100km/hr. Once it reaches train Y, it turns and starts moving toward train X. It does this till the two trains collides with each other. Find the total distance traveled by the bird?  Choose the correct answer:	A) 120	B) 100	C) 240	D) 232	E) 221

Solution: 100   100 km   Velocity of approach for the two trains = (40 + 40) km/hr   Total time the trains will take to collide = 80km/80km/hr = 1 hour   Total distance travelled by the bird = 100km/hr * 1hr = 100 km.
Answer: B
A local bank that has 18 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 18 codes? Pick
A) 3  B) 4  C) 5  D) 6  E) 18( 5 integers 25 codes

Solution: Pick any two integer.   Integers: 12   Code: 11, 12, 21, 22 = 4 Codes   Add one more integer: 3   13, 31, 33, 23, 32 = 5 Codes   Add one more integer: 4   44, 14, 41, 24, 42, 34, 43 = 7 Codes   Add one more integer: 5   55, 15,51, 25,52,35,53,45,54 =9 codes   Total = 25 Codes. Enough. Answer: E   5 integers create 25 codes.   18( 5 integers 25 codes
Answer: E
For what value of â€œkâ€ will the equation (2kx2 + 7kx +2)=0 have equal roots?
Choose the correct answer
A) 2/7
B) 16/49
C) 16/25
D) 7/1
E) 7/2

Solution: for a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac =0   in the given equation   (7k)^2-4*2k*2=0   by solving this equation   we get k=0, k=16/49   ANSWER:16/49
Answer: B
A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 110 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?	Choose the most appropriate option:
A) 2 hours, 225 miles
B) 3 hours, 350 miles
C) 4 hours, 450 miles
D) 5 hours, 550 miles
E) 8 hours, 850 miles

Solution: Let t be the usual time and x be the distance between AB. So we need to find t and Distance x. The question gives us 2 combinations of speedtime, but the distance remains the same for both condition.   Equation 1 - x= 100 (t+.5) (converted 30 mins into hr) added .5 hrs because it is late or took more time than usual.   Equation 2 - x= 110 (t-.25) subtracted .25 hrs because it is early or took less time than usual.   Now equating 12 we get 100(t+.5)=120(t-.25)   => 10t +5 = 11t - 3   => t=8 => t= 8 hrs.   Hence x= 100(8+.5) =>100 X 8.5 => 850 miles.   Hence correct answer 8 hours, 850 miles
Answer: E
Ed throws a blue die and a red die. How many combinations are there in which the two dice do not yield the same result and the sum of the results is not 9?
Answers:
A) 10  B) 24  C) 26  D) 30  E) 36

Solution: Total number of combination is 6*6 = 36..   Condition 1: we shouldn't get the same number... (1,1)(2,2)(3,3)(4,4)(5,5)(6,6) - 6 combinations.   condition 2: We shouldn't get the 9 as the sum (4,5)(5,4)(3,6)(6,3) - 4 combinations...   Total = 36 - 10= 
36 - 10 = 26
26.   ANS option 26.
Answer: C
A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished? Pick:
A) 1	B) 5	C) 7	D) 8	E) 2

Solution: Explanation:   \inline \fn_jvn [(100\times 35)+(200\times 5)] men can finish the work in 1 day   \inline \fn_jvn \therefore 4500 men can finish the work in 1 day. 100 men can finish it in \inline \fn_jvn \frac{4500}{100} = 45 days.   This is 5 days behind Schedule   Answer: 5
Answer: B
A goods train runs at the speed of 72 kmph and crosses a 280 m long platform in 26 seconds. What is the length of the goods train?  Choose the correct option:
A) 230 m
B) 270m
C) 240m
D) 832m
E) 270m

Solution: Speed =	(72 x	5/18)m/sec	= 20 m/sec.   Time = 26 sec.   Let the length of the train be x metres.   Then,	x + 280/26	= 20   x + 280 = 520   x = 240.   Answer:240m
Answer: C
In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Select the correct option.
A) 8002 B) 8000 C) 2869 D) 2790 E) 2760

Solution: x*110/100 * 90/100 = 7920   X*0.99=7920   X=7920/0.99= 
7920/0.99 = 8_000
> 8000   Answer:8000
Answer: B
Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 25kmph. What time will they take to be 50km apart?	Choose the correct choice from the following answers:
A) 1.42hr
B) 2.22hrs
C) 3.24hrs
D) 5hrs
E) 6.02hrs

Solution: To be (10+25) km apart, they take 1 hour   To be 50 km apart, they take 1/35*50 = 1.42 hrs   1.42hrnswer is 1.42hr
Answer: A
A started a business with 4500 and another person B joined after some period with 3000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2 : 1
Select the correct option:	A) After 3 months	B) After 4 months	C) After 6 month	D) After 2 1⁄2 months	E) None of these

Solution: Let B joined after x months.   Then, 4500 × 12 : 3000 (12 – x) = 2 : 1   Ratio of their investments   4500×12/3000(12−x)=21=21 ⇒ x = 3   After 3 monthsnswer After 3 months
Answer: A
If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is = Choose the correct choice from the following choices:
A) 1155 B) 2310 C) 4620 D) 30030 E) 60060

Solution: The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2= 
11*7*5*3*2 = 2_310
2310.   Answer: 2310.
Answer: B
Naomi was ordering yarn from a discount web site. If she ordered more than $50 worth of
yarn labeled “discountable”, she could take an extra 10% from the price of that yarn. Only
some of the yarn she ordered was eligible for the discount. Here is what Naomi ordered:
2 skeins at $2.50 per skein (not discountable)
8 skeins at $8.40 per skein (discountable)
7 skeins at $5.99 per skein (discountable)
Tax is 5% and shipping is 8%. How much did Naomi pay for her yarn? Choose the correct choice from the following answers:  A) $116.64  B) $216.64  C) $316.64  D) $416.64  E) $516.64

Solution: 8 x $8.40 = $67.20 ($116.64ll money is rounded to hundredths at each step.)   7 x $5.99 = $41.93   $67.20 + $41.93 = $109.13 discountable   $109.13 x .10  67.20 +  41.93= 
 67.20 +  41.93 = 109.13
$109.13 discountable   $109.13 x .10= $10.91 (rounded)   $109.13 - $10.91 = $98.22 for discounted yarn   2 x $2.50  109.13 -  10.91= 
 109.13 -  10.91 = 98.22
$98.22 for discounted yarn   2 x $2.50= $5.00 for un-discounted   $98.22 + $5.00 = $103.22 cost of yarn   $103.22 x 1.13   98.22 +  5.00= 
  98.22 +  5.00 = 103.22
$103.22 cost of yarn   $103.22 x 1.13= $116.64 with tax and shipping   (5% + 8% = 13%)   correct answer $116.64
Answer: A
A rectangular tiled patio is composed of 50 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 50 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout? Choose the correct choice from the following answers
A) 5  B) 6  C) 10  D) 13  E) 28

Solution: r*c=50 and (6+4)(7-2)=50 --> r=6 and c=7.   Answer: 6.
Answer: B
How many ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Choose one.
A) 120  B) 240  C) 360  D) 540  E) 720

Solution: Jason can select his seat in 2 Ways (two aisles)   His 1st of 4 friends have 5 seats to select =>   His 2nd of remaining 3 friends will have 4 seat to chose from...and so on   Total ways => 2*5*4*3*2*1= 
2*5*4*3*2*1 = 240
240   ANS:240
Answer: B
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet? Options:
A) 20/8 sec  B) 22/7 sec  C) 20/7 sec  D) 20/2 sec  E) 30/7 sec

Solution: They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (54 + 72)*5/18 = 7*5= 
7*5 = 35
35 mps.   The time required= d/s   = 100/35   =20/7 sec.   Answer:20/7 sec
Answer: C
A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest? Choose the most appropriate option.
A) 7%  B) 8%  C) 3%  D) 6%  E) 1%

Solution: S.I. = (15500 - 12500) = Rs. 3000\   Rate = (100 * 3000) / (12500 * 4)= 
(100 * 3000) / (12500 * 4) = 6
6%   Answer: 6%
Answer: D
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ?
Answers:
A) Rs.980 B) Rs.228 C) Rs.900 D) Rs.287 E) Rs.921

Solution: Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .   A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.   Hence, C's share (4650 * 6/31) = Rs, 900.   Answer: Rs.900
Answer: C
Rabin has 3 cows in his farm. If he he decide to arrange the cows in every possible combination and moved just one cow every 5 minute, how long would it taken by him ?	Choose the correct choice from the following:	A) 12 minutes	B) 15 minutes	C) 40 minutes	D) 10 minutes	E) 30 minutes

Solution: Explanation:   Clearly, number of ways of arranging 3 cows = 3 ! = 3 x 2 x 1 = 6.   So, total time taken = 6*5= 
6*5 = 30
30 minutes   Answer: 30 minutes
Answer: E
A rainstorm increased the amount of water stored in State J reservoirs from 160 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 50 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm? Answers.
A) 240
B) 250
C) 260
D) 270
E) 300

Solution: Let total capacity be x   we know 200 = 0.50x   x = 200/0.50= 
200/0.50 = 400
400   Prior to storm, we had 160 bn gallons     400-160= 
  400-160 = 240
240   240nswer : 240
Answer: A
A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is Choose one:
A) 16000
B) 18000
C) 20000
D) 22000
E) 24000

Solution: Explanation:   Number of bricks =20000ourtyard area/1 brick area   =(2500×160020×10)=20000   Answer: Option 20000
Answer: C
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 100 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 2 units?  Options
A) 140 sq.units
B) 158 sq.units
C) 8 sq.units
D) 607 sq.units
E) 815 sq.units

Solution: Given that the area of the square = 100 sq.units   => Side of square = √100= 10 units   The radius of the circle = side of the square = 10 units   Length of the rectangle = 2/5 * 10= 
2/5 * 10 = 4
4 units   Given that breadth= 2 units   Area of the rectangle = lb = 4 * 2= 
4 * 2 = 8
8 sq.units   Answer: 8 sq.units
Answer: C
If the wheel is 18 cm then the number of revolutions to cover a distance of 1056 cm is?
Choose the correct option
A) 18
B) 26
C) 14
D) 12
E) 9.3

Solution: 2 * 22/7 * 18 * x = 1056 => x   = 9.3   Answer: 9.3
Answer: E
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if j percent of the newspapers that the store sold were copies of Newspaper A, which of the following expresses r in terms of j?  Choose the most appropriate option.
A) 100p / (125 - p)  B) 150p / (250 - p)  C) 300p / (375 - p)  D) 400j / (500 - j)  E) 500p / (625 - p)

Solution: I have just started with qunats section .. I solved this by making two equations and got the answer ... However it was long way of doing it ...   I got the answer as : 100j /(125 - .25 j)...   Multiply this equation by 4 and you get 400j / (500 - j) as the answer ,...
Answer: D
A boat can move upstream at 14 kmph and downstream at 18 kmph, then the speed of the current is?  Options:	A) 5	B) 6	C) 8	D) 4	E) 2

Solution: US = 14   DS = 18   M = (18 - 14)/2= 
(18 - 14)/2 = 2
2 Answer:2
Answer: E
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:  Choose the correct choice from the following.
A) 35 years	B) 40 years	C) 50 years	D) 60 years	E) None of these

Solution: Explanation:   Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.   Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.   Husband's present age = (90 - 50)= 
(90 - 50) = 40
40 years.   ANSWER IS 40 years
Answer: B
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?  Select: A) 27 B) 28 C) 29 D) 26 E) 25

Solution: Explanation:   The total of seven numbers = 7X18 = 126   The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99   So, the middle number is (126 – 99 ) = 27   27nswer: 27
Answer: A
In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 14500 at 15% p.a.?
Choose the correct choice
A) 19.33 years
B) 18.33 years
C) 17.33 years
D) 16.33 years
E) 15.33 years

Solution: T = (100 * 14500)/(15 * 5000) = 19.33 years   19.33 yearsNSWER:19.33 years
Answer: A
A playstation is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be Choose the correct choice from the following:
A) 18%
B) 19%
C) 21.2%
D) 21.81%
E) 22.07%

Solution: Simple interest SI = (P*R*T)/100   where P is the principal amount   R is the rate of interest   and T is time in years   the way I see it:playstation on down payment of 17,000, customer is not paying any interest. it is the remaining sum which will be paid for 5 months that will bear an interest. Therefore, the principal amount for which interest is being charged is 39,000 - 17,000 = 22,000   For this 22,000 a total sum of 5*4800 = 24,000 was pain. (Time is five months, so T = 5/12, as T is in years.)   thus, SI = 2000 or   2000 = (P*R*T)/100   2000 = (22,000*R*5)/(100*12)   R = (2,000*12*100)/22,000*5   R = 21.81%   Therefore answer is 21.81%
Answer: D
2+2^2+2^+......+2^9=? Choose one:
A) 2044	B) 1022	C) 1056	D) 1065	E) None of them

Solution: This is a G.P. in which a=2, r=2^2/2=2 and n=9   S^n=a(r^n -1)/(r-1)   =2x(2^9-1)/(2-1)   =2x(512-1)=2x511   =1022   Answer is 1022
Answer: B
40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 3 like all. How many people like apple?  Choose the correct choice from the following answers
A) 47	B) 46	C) 54	D) 58	E) 62

Solution: orange+mango-apple=7   mango+apple-orange=10   apple=40   orange+mango+apple=3   40+10+3-7= 
40+10+3-7 = 46
46 like apple   ANSWER:46
Answer: B
Andy solves problems 74 to 135 inclusive in a Math exercise. How many problems does he solve? Answers:
A) 53 B) 62 C) 51 D) 50 E) 49

Solution: 135-74+1= 
135-74+1 = 62
62   '62' is the answer
Answer: B
An woman swims downstream 64 km and upstream 24 km taking 8 hours each time; what is the speed of the current? Select the correct option
A) 1.6
B) 1.8
C) 3.5
D) 1.5
E) 2.5

Solution: 64 --- 8 DS = 8   ? ---- 1   24 ---- 8 US = 3   ? ---- 1 S = ?   S = (8 - 3)/2= 
(8 - 3)/2 = 5/2 = around 2.5
2.5   Answer: 2.5
Answer: E
The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?	Answers:
A) 20%  B) 19%  C) 15%  D) 12%  E) 24%

Solution: Answer: Option 12%    100 * 100= 
 100 * 100 = 10_000
10000   80 * 110= 
80 * 110 = 8_800
8800   10000------- 1200   100 ------- ?= 12%
Answer: D