MU-NLPC/Calc-aqua_rat huggingface dataset:
I was facing west.I turned 125 degree in the clockwise direction and 10degree in the anticlockwise direction.Which direction am i facing now?	Choose the correct option:
A) north-west B) north C) east D) north-east E) west

Solution: N   W E   S   Clockwise degree - Anti-clockwise degree 115%   90% of W = N   115-90= 
115-90 = 25
25 degree . 25 degree of N will lie between N and E= North-East   ANSWER:north-east
Answer: D
Of 440 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B? Choose the correct choice from the following:
A) 20 B) 25 C) 30 D) 35 E) 55

Solution: Say the number of students who read book A is A and the number of students who read book B is B.   Given that 20% of those who read book A also read book B and 25% of those who read book B also read book A, so the number of students who read both books is 0.2A=0.25B --> A=1.25B.   Since each student read at least one of the books then {total}={A}+{B}-{Both} --> 440=1.25B+B-0.25B --> B=220, A=1.25B=275 and {Both}=0.25B=55.   The number of students who read only book A is {A}-{Both}=125-25= 
125-25 = 100
100;   The number of students who read only book B is {B}-{Both}=275-55-220;   The difference is  220-55= 
 220-55 = 165
165.   Answer:55.
Answer: E
The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 220 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
Choose one.
A) 44 B) 64 C) 70 D) 80 E) 84

Solution: Let x be the number of new boarders.   The ratio changed from 5:12 up to 1:2 = 6:12.   220 / (220+x) = 5/6   x = 44   The answer is 44.
Answer: A
If each side of a square is increased by 20%, find the percentage change in its area?
Choose the correct answer:
A) 40%
B) 42%
C) 46%
D) 44%
E) 38%

Solution: let each side of the square be a , then area = a x a   New side = 120a / 100 = 6a / 5   New area =(6a x 6a) / (5 x 5) = (36a²/25)   increased area== (36a²/25) - a²   Increase %= [(11a²/25 ) x (1/a² ) x 100]% = 44%   answer :44%
Answer: D
A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father and his son stand on the same straight line. The father observes that the shadows of his head and his son’s head are incident at the same point on the ground. If the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far (in metres) is the son standing from his father?  Choose the correct choice from the following options:
A) 0.9  B) 0.75  C) 0.6  D) 0.45  E) None of these

Solution: Explanation :   L is the lamp post position, F is father and S is son’s position. X is the point where the shadow falls.   LD = 0.9 = Son’s height , LB = 1.8 = Father’s height.   So AB = 6 – 1.8 = 4.2 Also BC = LF = 2.1   We observe that ∆ABC ~ ∆ADE (two triangles are similar).   Hence, the corresponding sides are proportional.   So, AB/AD = DC/DE.   4.2/5.1 = 2.1/DE.   DE = 5.1*2.1/4.2 = 5.1/2 = 2.55.   LS = DE = 2.55   FS = LS – LF = 2.55 – 2.1 = 0.45.   Answer : 0.45
Answer: D
How long does a train 90 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?	Pick one:
A) sec  B) sec  C) sec  D) sec  E) sec

Solution: sec = 90 + 170= 
90 + 170 = 260
260 m   S= 60 * 5/18 = 50/3   T = 260 * 3/50= 
260 * 3/50 = 78/5 = around 15.6
15.6 sec   Answer: sec
Answer: D
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?  Choose the correct choice from the following answers.
A) 77 sec	B) 66 sec	C) 48 sec	D) 55 sec	E) 45 sec

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.   Answer: 48 sec
Answer: C
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $300, what were her original savings?	Choose the correct choice from the following
A) $1200	B) $1300	C) $1400	D) $1800	E) $1900

Solution: If Linda spent 3/4 of her savings on furnitute, the rest   4 / 4 - 3 / 4 = 1 / 4 on a TV   But the TV cost her $300. So 1 / 4 of her savings is $300. So her original savings are 4 times $300 = $1200   correct answer $1200
Answer: A
If the number is divided by 3, it reduced by 48. The number is  Choose the correct choice:
A) A)51
B) B)50
C) C)45
D) D)72
E) E)36

Solution: Explanation:   Let the number be x. Then,   x - (x/3) = 48 => 2x/3 = 48   => x = 72   Answer: Option 72
Answer: D
If a: b = 12: 6, b: c = 9: 7, find a: b: c? Select: A) 118: 53: 66 B) 138: 73: 46 C) 128: 43: 36 D) 108: 63: 56 E) 148: 83: 76

Solution: a: b = 12: 7   b: c = 9: 8   a: b: c = 108: 63: 56   ANSWER:108: 63: 56
Answer: D
The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.500 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?	Choose the correct answer
A) 620 B) 720 C) 820 D) 920 E) 1020

Solution: 500 84   \ /   90   / \   6 410   3:205   3->12   205->?   820   ANSWER:820
Answer: C
How many different subsets of the set {0, 1, 2, 3} do not contain 0?
Choose the correct choice from the following.
A) A.3 B) B.7 C) C.8 D) D.2 E) E.4

Solution: Number of subset   Since we have 3 digits other than 0, we can take any numbers from the set of 3 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations.   3c1+3c2+3c3=7   And one set is the NULL set having no elements in it so    7+1= 
 7+1 = 8
8.   ANSWER C.8.
Answer: C
If two numbers are in the ratio 3:4. If 10 is added to both of the numbers then the ratio becomes 4:5 then find the smallest number?
Select the correct option:
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: Explanation:   3:4   3x + 10 : 4x + 10 = 4 : 5   5[3x + 10] = 4[4x + 10]   15x + 50 = 16x + 40   16x - 15x = 50 - 40= 
50 - 40 = 10
10   Then smallest number is= 3   3x = 30   Answer: Option 30
Answer: C
Triathlete Dan runs along a 4-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?	Choose the correct choice from the following answers:	A) 1/8	B) 2/15	C) 3/15	D) 1/4	E) 3/8

Solution: Dan travels 8 miles round trip.   Running part: (4/10 *60 = 24 minutes)   Swimming Part: (4/6 *60 = 40 minutes)   8 miles in (24+40) minutes   8/64 = 1/8 mile per minute   1/8nswer: 1/8 mile per minute
Answer: A
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 40 kg. What is the weight of the new person?
Answers.
A) 75	B) 65	C) 85	D) 95	E) 60

Solution: Total increase in weight = 8 × 2.5 = 20   If x is the weight of the new person, total increase in weight = x−40   => 20 = x - 40   => x = 20 + 40= 
20 + 40 = 60
60   Answer is 60.
Answer: E
A rectangular box has two sides whose
lengths are 3 centimeters and 9 centimeters
and a volume of 135 cm3. What is the area
of its largest side? Choose the correct choice from the following choices.
A) 27 cm2*square  B) 36 cm2*square  C) 39 cm2*square  D) 45 centimeter square  E) 48 cm2*square

Solution: The box has dimensions of 3 and 9 and a volume of 135, so plug these values into the   formula for the volume of a box:   V=lwh=>   135=(3)(9)h=>   135=27h=>   5h   So the remaining dimension of the box is 5. The two longest dimensions are 5 and 9, so the   area of the largest side is 5 × 9 = 45   correct answer 45 centimeter square)45 cm2*square
Answer: D
If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3), what is the smallest possible positive value of n?	Select the correct option.
A) 25	B) 75	C) 125	D) 150	E) 175

Solution: (2^5) x (12^2) x (7^3) has two appearances of 3 (in 12^2) and no appearances of 5.   Thus n must include at least 3 * 5^2 = 75   The answer is 75.
Answer: B
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 39 min, then the slower pipe alone will be able to fill the tank in?  Choose the correct choice from the following options:  A) 229  B) 156  C) 144  D) 128  E) 121

Solution: Let the slower pipe alone fill the tank in x min.   Then, faster pipe will fill it in x/3 min.   1/x + 3/x = 1/39   4/x = 1/39 => x = 156 min.   Answer: 156
Answer: B
A boy is travelling from his home to school at 5 km/hr and reached 7 min late. Next day he traveled at 10 km/hr and reached 8 min early. Distance between home and school?  Choose the correct choice
A) 2.5km B) 3.5km C) 4.5km D) 5.5km E) 6.5km

Solution: Let the distance be x   T1 = x/5 hr   T2 = x/10hr   Difference in time = 7+8= 
7+8 = 15
15=1/4hr   x/5-x/10 = 1/4   x/10 = 1/4   x = 2.5 km   2.5kmnswer is 2.5km
Answer: A
Two spherical balls lie on the ground touching. If one of the balls has a radius of 8 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball (in centimeters)?	Choose one
A) 20  B) 24  C) 28  D) 32  E) 36

Solution: A straight line will join the two centers and the point of contact, thus making similar triangles.   4/8 = (r-12)/r   4r = 8r - 96   r = 24   The answer is 24.
Answer: B
Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $102 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary?  Pick
A) $3400 B) $3200 C) $6000 D) $6400 E) $9600

Solution: let x be the monthly salary   15%of 1/5*x=102   x=3400   answer $3400
Answer: A
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Pick:
A) 1 : 3  B) 2 : 3  C) 3 : 4  D) 4 : 5  E) 5 : 6

Solution: Cost of 1 kg of 1st kind 720 p   Cost of 1 kg of 2nd kind 570 p   Mean Price 630 p   Required ratio = 60 : 90 = 2 : 3.   Answer:2 : 3
Answer: B
If y is 90% greater than x, than x is what % less than y? Choose the correct choice from the following answers.
A) 35.7%  B) 39.8%  C) 43.2%  D) 47.4%  E) 51.2%

Solution: y = 1.9x   x = y/1.9 = 10y/19   x is 9/19 less which is 47.4% less than y.   The answer is 47.4%.
Answer: D
Find out the wrong term.
2, 5, 10, 50, 500, 5000  Pick: A) 5 B) 10 C) 50 D) 5000 E) 500

Solution: 2*5= 
2*5 = 10
10   5*10= 
5*10 = 50
50   10*50= 
10*50 = 500
500   50*?=5000   ANSWER:5000
Answer: D
What is the average of 1/2, 2/5 and 1/10?  Choices:
A) 1/5  B) 3/10  C) 2/5  D) 1/2  E) 4/15

Solution: Sum of 1/2,2/5,1/10 =8/10   Average = 8/10*1/3 =4/15   Answer 4/15 4/15
Answer: E
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $20,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Choices
A) 40,402	B) 40404	C) 40000	D) 50000	E) 50005

Solution: A = P(1+r/n)^nt   A= total amount accrued   P = principal deposited   r = rate of interest in decimal form   n = number of times per year, interest compounded   t = time in number of years.   .   x(1+0.02/2)^2 - x = 20,000(1+0.04/4)^4 - 20,000 [ when the principal is subtracted from the total amount accrued , the resulting difference is the interest portion and question states interests are equal)   => x[(1.01)^2 - 1] = 20,000[(1.01)^4 - 1]   => x[(1.01)^2 - 1] = 20,000[(1.01)^2+1][(1.01)^2-1] --> Using a^2-b^2 = a+b X a-b formula and cancel common expression on both sides   => x = 20,000(1.0201+1) =40,402.   Hence answer is 40,402.
Answer: A
10^23-7 is divided by 6, remainder is? Choose the correct option
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Anything power by 10 we got 10 and some zeros after that.(i.e,1000000000000000....)   On that, we minus 7 means, we must get last two digits is 93.   And 93 is divided by 6, we get reminder 3.   3NSWER:3
Answer: A
Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.30, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?  Choose the correct choice: A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Suppose Anoop joined after 3 months.   Then, 20000 * 12 = 30000 * (12 – x)   => 120000 = 30000x   => x = 4.   ANSWER:4
Answer: B
John's Bank's saving amount is decreased 12% due to loan payment and current balance is Rs.44000. Find the actual balance before deduction?
Choose one
A) 8000
B) 50000
C) 9000
D) 9500
E) 10000

Solution: 12% decreased   88% 50000alance = 44000   100% = 44000/88*100= 
44000/88*100 = 50_000
50000   Answer : 50000
Answer: B
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is?  Choose the correct choice from the following choices:
A) 12	B) 24	C) 36	D) 38	E) 40

Solution: Let the ten's digit be x.   Then, unit's digit = x + 2.   Number = 10x + (x + 2) = 11x + 2.   Sum of digits = x + (x + 2) = 2x + 2.   (11x + 2)(2x + 2) + (  + 2)= 
+ (  + 2) = 2
2x + 2.   (11x + 2)(2x + 2)= 144   22x2 + 26x - 140 = 0   11x2 + 13x - 70 = 0   (x - 2)(11x + 35) = 0   x = 2.   Hence, required number = 11x + 2 = 24.   Option 24
Answer: B
3A = 4B = 5C, A : B : C = ?	Select:
A) 12:15:22  B) 20:15:12  C) 15:20:12  D) 12:20:15  E) None of these

Solution: Explanation :   Solution: 3A = 420:15:12 = 5C,   A : 20:15:12 : C = 1/3 : 1/4 : 1/5   => 20/60 : 15/60 : 12/60 = 20 : 15 : 12   Answer : 20:15:12
Answer: B
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Pick one:  A) 2435  B) 1243  C) 1509  D) 3456  E) 5184

Solution: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184   432 12 x 62   5184
Answer: E
In a certain fish pond, 1 out of every 120 bass are caught. If 3 out of every 4 caught bass are fried for dinner, and there are 9 fried bass for dinner, how many bass total are there in the pond?
Choose the correct choice from the following: A) 5,000 B) 700 C) 500 D) 1,222 E) 1,440

Solution: Proportions: Let B = bass, and Bc = bass caught, and Bcf = caught fried bass.   9Bcf/xBc = 3Bcf/4Bc   xBc = 12Bc   12Bc/yB = 1Bc/120B   yB = 1,440B   Answer: 1,440
Answer: E
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 300 as interest at the end of the loan period, what was the rate of interest?  Choose the correct choice
A) 5
B) 6
C) 18
D) Cannot be determined
E) None of these

Solution: Let rate = R% and time = R years.   Then,1200 x R x R/100= 300   12R2 = 300   R2 = 25   R = 5.   5nswer:5
Answer: A
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?	Choose the correct choice.
A) 2	B) 3	C) 1	D) 7	E) 4

Solution: Let the ages of the children be x, (x + 3), (x + 6), (x + 9) and (x +12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20 => x = 4.   Age of youngest child = x = 4 years.   answer is 4.
Answer: E
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is  Choose the correct choice from the following: A) 35° B) 65° C) 45° D) 75° E) 95°

Solution: Angle between hands of a clock   When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(H−M/5)+M/2 degree   When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(M/5−H)−M/2 degree   Here H = 8, M = 30 and minute hand is behind the hour hand.   Hence the angle   =30(H−M/5)+M/2   =30(8−30/5)+30/2   =30(8−6)+15   =30×2+15 =75°   Answer is 75°.
Answer: D
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?  Pick: A) 228 B) 278 C) 600 D) 288 E) 121

Solution: x* 12 : 2x* 6: 3x* 4   1:1:1   1/3 * 18000 = 600   Answer: 600
Answer: C
R is the set of positive even integers less than 20, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ? Choose the correct choice from the following options
A) None B) Two C) three D) Five E) Seven

Solution: squares < 20 {1,4,9,16}   S = {1,4,9,16}   R = {2,.....18}   Hence three.
Answer: C
Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 10, and 12, what is the value of r?  Pick one.
A) 17
B) 18
C) 19
D) 20
E) 21

Solution: From the triangle inequality rule, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, the three inequalities are:   1. q + 10 > 12   2. 10 + 12 > q   3. q + 12 > 10   Equation 3 is true for any positive value of q.   From equation 1, q > 2   From equation 2, 22 > q   Then 22 > q > 2 so q can be any value from 3 to 21 inclusive.   The number of possible values is 19.   The answer is 19.
Answer: C
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?	Choose the correct answer:
A) 12/35 B) 1/35 C) 35/8 D) 7/32 E) None of these

Solution: Let the numbers be a and b. Then, a+b=12 and ab =35.   a+b/ab=12/35; (1/b+1/a)=12/35   Sum of reciprocals of given numbers=12/35.   Correct Option: 12/35
Answer: A
The greatest number by which the product of three consecutive multiples of 7 is always
Select the correct option.
A) 54  B) 81  C) 162  D) 243  E) None of these

Solution: None of thesexplanation:   7*14*21= 
7*14*21 = 2_058
2058   Option None of these
Answer: E
If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many digits does this integer consists of?  Pick one:
A) 150
B) 339
C) 342
D) 359
E) 362

Solution: 1-digit integers   Number of 1-digit integers (1 to 9) = 9 - 1 + 1= 
9 - 1 + 1 = 9
9   Number of digits used= (9)(1) = 9   2-digit integers   Number of 2-digit integers (10 to 99) = 99 - 10 + 1= 
99 - 10 + 1 = 90
90   Number of digits used= (90)(2) = 180   3-digit integers   Number of 3-digit integers (100 to 150) = 150 - 100 + 1= 
150 - 100 + 1 = 51
51   Number of digits used= (51)(3) = 153   TOTAL # of digits uses = 9 + 180 + 153= 
9 + 180 + 153 = 342
342   Answer: 342
Answer: C
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women? Options
A) 25 years B) 20 years C) 30 years D) 15 years E) 10 years

Solution: Answer: Option 30 years   20 + 24 + 8 * 2= 
20 + 24 + 8 * 2 = 60
60/2= 
60/2 = 30
30
Answer: C
A piece of work can be done by Ram and shyam in 12 days, By shyam Nad hari in 15 days and by hari and ram in 20 days. Ram alone can complete the work in how much days ?
Choose the correct option:
A) . 30
B) . 35
C) . 25
D) . 32
E) . 28

Solution: Rate*Time = Work   Since the work done is same throughout the question so we can take the work done as 1   Let Rate of Ram be R, Hari be H and Shaym be S   A piece of work can be done by Ram and shyam in 12 days   When Ram and Shyam will work together then their rate will be added. So combined rate will be R+S   (R+S)*12 = 1   R+S = 1/12 ...(1)   By shyam Nad hari in 15 days   Similarly   S+H = 1/15 ...(2)   hari and ram in 20 days   Similarly   H+R = 1/20 ...(3)   (2)-(3)   S+H - (H+R) = 1/15 - 1/20   => S-R = 1/60 ..(4)   (1) - (4)   R + S - (S - R) = 1/12 - 1/60 = 4/60 = 1/15   2R = 1/15 => R = 1/30   Ram alone can complet the work in how much days ?   R * t = 1   t = 1/R = 1/ (1/30)= 
1/ (1/30) = 30
30 days   So, . 30nswer will be . 30
Answer: A
John has 4 friends who want to ride in his new car that can accommodate only 3 people at a time (John plus 2 passengers). How many different combinations of 2 passengers can be formed from John's 4 friends?	Choose the correct choice from the following answers
A) 6	B) 8	C) 10	D) 15	E) 18

Solution: 4C2 = 6   The answer is 6.
Answer: A
As x increases from 165 to 168, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x)
Select the correct option:	A) I only	B) III only	C) I and II	D) I and III	E) II and III

Solution: I. 2x - 5 --> x increases from 165 to 168 --> 2x increases --> 2x - 5 increases. Correct.   II. 1 - 1/x --> x increases from 165 to 168 --> 1/x decreases --> 1 -1/x increases. Correct.   III. 1/(x^2 - x) --> x increases from 165 to 168 --> x^2-x increases --> 1/(x^2 - x) decreases.   Answer: I and II.
Answer: C
The charge for a single room at Hotel P is 50 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G? Choose the correct choice from the following answers.
A) 45%	B) 50%	C) 60%	D) 80%	E) 90%

Solution: P = 0.5R = 0.9G   R = 0.9G/0.5 = 1.8*G   Thus R is 80% greater than G.   The answer is 80%.0.9 /0.5= 
0.9 /0.5 = 1.8
1.8*G   Thus R is 80% greater than G.   The answer is 80%.
Answer: D
What is the minimum number of years upon which SI on Rs 2600 at 6.67% interest rate will be in whole number?  Pick one.
A) 2  B) 6  C) 3  D) 4  E) 5

Solution: Explanation:   Simple Interest =Principal * Rate * Time   Principal = 2600 Rs   Interest Rate = 6.67%   => SI = 2600 * (20/3)*Time   SI of the number will be a whole number for the first time when time is three as denominator of rate is 3.   Hence time should be set to 3 years.   ANSWER 3
Answer: C
Three partners A, B, C in a business invested money such that 5(A’s capital) = 7(B’s capital) = 9(C’s capital) then, The ratio of their capitals is
Choose the correct option
A) 63 : 45 : 34
B) 63 : 54 : 34
C) 36 : 54 : 28
D) 63 : 45 : 35
E) None of these

Solution: Explanation:   Let 5(A’s capital) = 7(B’s capital) = 9(C’s capital) = Rs.x   Then, A’s capital = Rs x/5, B’s capital = Rs. x/7 and C’s capital = Rs. x/9.   A : B : C = x/5 : x/7 : x/9   63 : 45 : 35   Answer: Option 63 : 45 : 35
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?	Pick one:
A) 165 m	B) 167 m	C) 987 m	D) 150 m	E) 168 m

Solution: Speed=(60 * 5/18) m/sec   = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: 150 m
Answer: D
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 75000rs,what is the value of buzness?  Choose the correct choice: A) 150000 B) 160000 C) 170000 D) 190000 E) 250000

Solution: If value of business=x   Total sell (2x/3)(3/4)=75000   ->x=150000   150000NSWER:150000
Answer: A
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?  Choices:
A) metres
B) metres
C) metres
D) metres
E) metres

Solution: Explanation:   Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s   Time taken to cross, t = 18 s   Distance metresovered, d = vt = (400/36)× 18 = 200 m   Distance covered is equal to the length of the train = 200 m   Answer: Option metres
Answer: C
If 15% of A is the same as 30% of B, then A : B is :  Select:	A) 1:4	B) 4:3	C) 6:7	D) 3:5	E) 2:1

Solution: 2:1xpl : 15% of A I= 30 % of B =15A/100 = 30B/100 = 2/1= 
2/1 = 2
2:1   Answer:2:1
Answer: E