MU-NLPC/Calc-aqua_rat huggingface dataset:
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is? Choose the correct choice from the following choices:
A) 3.34 sq m  B) 3.97 sq m  C) 1.17 sq m  D) 2.98 sq m  E) 2.67 sq m

Solution: 3.34 sq mrea of the path = 3.34 sq mrea of the outer circle - 3.34 sq mrea of the inner circle   = ∏{4/2 + 25/100}2 - ∏[4/2]2   = ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }   = (3.14)(1/4)(17/4)   = 53.38/16 = 3.34 sq m   3.34 sq mnswer: 3.34 sq m
Answer: A
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions. Choose the correct option:
A) 704 m
B) 300 m
C) 350 m
D) 450 m
E) 500 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.4= 
500 * 2 * 22/7 * 22.4 = 70_400
70400 cm= 704 m   704 mNSWER 704 m
Answer: A
If a and b are positive numbers, and a^3 + b^3 = 30, then the greatest possible value of a is between: Choose the correct answer:
A) 0 and 3	B) 3 and 4	C) 4 and 5	D) 5 and 7	E) 7 and 9

Solution: If a = 3.1 and b is very small, then a^3 + b^3 can equal 30.   If a > 4, then a^3 + b^3 > 30.   The answer is 3 and 4.
Answer: B
A shop owners pays an average salary of $400 to his 10 employees and $100 to the 2 accountants. What is the average salary for the shop owner?
Choose the correct answer:
A) $350
B) $500
C) $460
D) $120
E) $800

Solution: Number of employees in the shop is 10   Their average salary is $400   Number of accountants in the shop is 2   Their average salary is $100   Total salary of the employees is 10*400=$4,000   Total salary of the accountants is   2*100= 
  2*100 = 200
$200   Total salary for the shop owner is $4,200   $350verage salary for the shop owner is 4,200/12=$350   $350nswer is $350
Answer: A
What is the difference between the local value of 6 and 9 in the number 2694? Choose one:
A) 510
B) 377
C) 288
D) 277
E) 112

Solution: Explanation:   600 â€“ 90 = 510   510nswer: 510
Answer: A
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 12-meter platform and caught it after it had traveled 35.65 meters. How many times did the ball bounce? Choose the correct option
A) 5	B) 6	C) 7	D) 8	E) 9

Solution: Ans: 6   Division of total diatance travelled will be 12+12+6+3+1.5+.75+0.4 ANS 6
Answer: B
An woman sitting in a train which is travelling at 20 kmph observes that a goods train travelling in a opposite direction, takes 15 seconds to pass him. If the goods train is 300 m long, find its speed.
Choose the correct choice from the following answers:
A) 52 B) 54 C) 56 D) 58 E) 60

Solution: Relative speed = (300/15)m/s = (300/15)*(18/5)= 
(300/15)*(18/5) = 72
72 kmph   speed of goods train= 72-20= 
72-20 = 52
52 kmph   52nswer is 52
Answer: A
A train 600 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?	Select.
A) 277 m  B) 700m  C) 500 m  D) 187 m  E) 1678 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (600 + x)/60 = 65/3   x = 700 m.   Answer:700m
Answer: B
By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Choose the correct option
A) 25  B) 96  C) 22  D) 76  E) 11

Solution: Explanation:   To earn Rs. 135, investment = Rs. 1620.   To earn Rs. 8, investment == Rs. 96.   Market value of Rs. 100 stock = Rs. 96.   Answer: 96) 96
Answer: B
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Select the correct option:	A) 349	B) 349	C) 342	D) 346	E) 344

Solution: 400*(90/100)*(95/100)= 
400*(90/100)*(95/100) = 342
342   Answer:342
Answer: C
If the selling price of 7 articles is same as the cost price of 10 articles. Find the gain or loss percentage?
Answers
A) 93% B) 23% C) 33% D) 43% E) 53%

Solution: Let the C.P of each article be Re 1. Then,   S.P of 7 articles = C.P of 10 articles = Rs. 10   Now, C.P of 7 articles = Rs. 7, S.p of 7 articles = Rs 10   Gain = Rs ( 10 - 7 )= 
( 10 - 7 ) = 3
Rs 3.   Gain%= ( 3/7 × 100 ) % = 43%   Answer : 43%
Answer: D
How many 4 letter words can we make from the letters in an alphabet?
Choose the correct answer.
A) 358800  B) 358802  C) 358801  D) 358809  E) 358810

Solution: There are 26 letters in an alphabet   to choose 4 from these 26 would mean   26P4 = 26!/(26-4)!   We take Permutation and not Combination since the arrangement of letters matter in forming a word. Like MAPS and PAMS both are different words.   Therefore the answer is 26!/ 22! = 26*25*24*23= 
26*25*24*23 = 358_800
358800   358800nswer:358800
Answer: A
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation f of the mean, what percent of the distribution is less than m+f?
Choose the most appropriate option.
A) 16% B) 32% C) 48% D) 84% E) 92%

Solution: 16%   ________________________________________________ m+f   34%   ________________________________________________ m   34%   ________________________________________________ m-f   16%   since 68% lies one standard deviation from mean m, => 50% of 68% lies on either side as it is symmetric about m.   thus 16% lie below m-f and 16% lie above m+f   now below m+f = 16+34+34= 
16+34+34 = 84
84%   hence 84%
Answer: D
one pipe can fill a tank in 15 hour.but because of hole in a tank,this tank fill in 20 hour.so in how much time this hole will empty the full tank?	Choose the correct choice from the following answers.
A) 30	B) 40	C) 50	D) 60	E) 70

Solution: in 1 hour hole empty=[1/15-1/20]=1/60   so total time taken to empty the full tank through hole=60 hour.   answer 60
Answer: D
Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 115 mangoes.	Choose the correct choice from the following answers.
A) 360 B) 383 C) 400 D) 406 E) 412

Solution: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.   Method 1:   Let price per mango = x. Let number of mangoes be n. Then, nx = 360.   Now price = 0.9x; number of mangoes = n + 12. Total amount = 0.9x*(n+12) = 360.   nx = 0.9nx + 10.8x => 0.1nx = 10.8x => n = 108 => x = 360/108 = 3.33   Original price of 115 mangoes = 115*3.33 = 383.   Answer 383
Answer: B
A meal cost $ 33.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:  Options:
A) 40-42  B) 39-41  C) 38-40  D) 37-39  E) 36-37

Solution: 10%(33.5) = 3.35   15%(33.5) = 5.025   total amount could have been 33.5+3.35 and 33.5+5.025   => could have been between 36.85 and 38.525   => approximately between 37 and 39   Answer is 37-39.
Answer: D
A line with slope 2 intersects a line with slope 6 at the point (40, 30).
What is the distance between the x-intercepts of these lines?  Select the correct option
A) 4	B) 6	C) 8	D) 10	E) 12

Solution: The line with slope 2 passing through (40, 30) has x-intercept 40−(30/2). The line with slope   6 passing through (40, 30) has x-intercept 40 − (30/6). So the difference in the x-intercepts is   (30/2) − (30/6) = 10.   correct answer 10
Answer: D
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?	Choose the most appropriate option
A) 20 kmph
B) 40 kmph
C) 30 kmph
D) 55 kmph
E) 68 kmph

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer:30 kmph
Answer: C
Four balls of different colors are to be placed in three different boxes such that any box contains at least 1 ball . What is the maximum number of different ways in which this can be done?
Select the correct option
A) 60
B) 90
C) 120
D) 150
E) 180

Solution: Since the balls are all of different colors, let's permute them and then decide how many balls we put in each box.   For example, arrange in a row the balls, then decide: two balls go into the first box, next two in the second box, and the last ball goes to the third box.   Since in each box there must be at least one ball, we have the possibilities of (2,2,1), (2,1,2), (1,2,2) OR (3,1,1), (1,3,1), (1,1,3) balls in the three boxes.   For the 2,2,1 type arrangements, we have [6!/(2!2!1!)]*3 = 100 possibilities. Inside a box, it doesn't matter the order of the balls.   For the 3,1,1 type arrangements, we have [6!/(3!1!1!)]*3 = 80 possibilities.   Total of 100 + 80= 
100 + 80 = 180
180 possibilities.   Answer 180.
Answer: E
In what ratio must rice at Rs.9.30 per Kg be mixed with rice at Rs.10.80 per Kg so that the mixture be worth Rs.10 per Kg?
Choose the correct choice from the following options:
A) 8 : 7	B) 7 : 8	C) 8 : 9	D) 9 : 8	E) None

Solution: Solution   Required ratio = 80 : 70 = 8 : 7.   8 : 7nswer 8 : 7
Answer: A
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in: Choices.
A) 14 hrs
B) 15 hrs
C) 10 hrs
D) 8 hrs
E) 9 hrs

Solution: work done by leak in 1 hr = (1/2-3/7)=1/4   =>14 hrs   14 hrsNSWER 14 hrs
Answer: A
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%? Choose the correct choice:
A) Rs.167
B) Rs.144
C) Rs.148
D) Rs.179
E) Rs.121

Solution: Given that SP = Rs. 102 and loss = 15%   CP = [100(SP)]/(100 - l%) = (100 * 102)/85 = 20 * 6   = Rs. 120.   To get 20% profit, New SP   = [(100 + p%)CP]/100   = (120 * 120)/100 = Rs.144   Answer: Rs.144
Answer: B
S1 = 5 S2 = 8 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50? Choose the correct choice from the following options.
A) 15	B) 14	C) 13	D) 12	E) 16

Solution: term 16 = 3*16+4= 
3*16+4 = 52
52   Answer : 16
Answer: E
Two numbers are in the ratio 1:2, if 7 is added to both, their ratio changes to 3:5. The greatest number is	Options
A) 24	B) 26	C) 28	D) 32	E) 44

Solution: Let the numbers be x and 2x   Then, (x+7)/(2x+7)=3/5   X=14   There fore answer is 28   ANSWER 28 28
Answer: C
one disk of 20cm radius, out of that 4 disk of 5cm are cut , find diffrence of leftout and cut out area?	Choose the correct choice:
A) 200pi
B) 300pi
C) 100pi
D) 400pi
E) 500pi

Solution: Radius r=20cm   Total areal of big disc = pi* r^2 = pi * 20 * 20 = 400 pi   Total cut out area = 4 * pi * 5 * 5 = 100 pi   Difference between them = 400 - 100= 
400 - 100 = 300
300pi   ANSWER:300pi
Answer: B
A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?  Pick one:
A) 8%
B) 5%
C) 6%
D) 4%
E) 2%

Solution: 3 --- 1725   5 --- 1875   --------------   2 --- 150   N = 1 I = 75 R = ?   P = 1725 - 225= 
1725 - 225 = 1_500
1500   75= (1500*1*R)/100   R = 5%   Answer:5%
Answer: B
If the Average (mean ) of 11 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be	Choose one:
A) 6x  B) 9x  C) 5x/3  D) 3x/2  E) 3x/5

Solution: Let the 5 numbers be 1,2,3,4,5,...,11 (since no restrictions are given). There mean is 6 (x).   Now the sum of greatest three would be 9+10+11= 
9+10+11 = 30
30   so the answer has to be 9x....that is option 9x
Answer: B
The average expenditure of a labourer for 6 months was 75 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i Select the correct option: A) 70 B) 72 C) 75 D) 78 E) 80

Solution: Income of 6 months = (6 × 75) – debt   = 450 – debt   Income of the man for next 4 months   = 4 × 60 + debt + 30   = 270 + debt   ∴ Income of 10 months = 720   Average monthly income = 720 ÷ 10 = 72   Answer 72
Answer: B
Sum of the squares of 3 no. is 156 and the sum of their products taken two at a time is 50. Find the sum? Choose the most appropriate option
A) 18
B) 16
C) 19
D) 21
E) 15

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 156 + 2* 50   a + b + c = âˆš256 = 16   Answer 16
Answer: B
log xy3 = a; log x2y = b then then value of log y /log x	Answers
A) 23  B) 277  C) 997  D) 1781  E) 123

Solution: log xy3 = logx + 3logy = a - - - (1)   log x2y = 2logx + logy = b - - - (2)   Multiplying (1) by 2 and subtracting (2) from it   5logy = 2a-b   logy = 2a−b52a−b5   Put the value of log y in equation (2),   2logx + 2a−b52a−b5 = b   logx = 3b−a53b−a5   logylogx=2a−b53b−a5log⁡ylog⁡x=2a−b53b−a5 = 2a−b3b−a   Answer:277
Answer: B
The slant height of a cone is 20 cm and radius of the base is 10 cm, find the curved surface of the cone.	Choose the correct choice from the following options:  A) 330  B) 159  C) 150  D) 200  E) 628

Solution: π * 10 * 20 =628   Answer:628
Answer: E
A bag of potatoes weighs 16 kg divided by a quarter of its weight. How much does the bag weigh?  Choose the correct answer.
A) 4 kg	B) 8 kg	C) 7 kg	D) 3 kg	E) 9 kg

Solution: 8 kg   8 kg   8 kg : 16/2
Answer: B
Two boats are heading towards each other at constant speeds of 5 miles/hr and 21 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ? Select the correct option: A) 1/12 B) 5/12 C) 1/6 D) 13/30 E) 1/5

Solution: The question asks: how far apart will they be 1 minute=1/60 hours before they collide?   Since the combined rate of the boats is  5+21= 
 5+21 = 26
26 mph then 1/60 hours before they collide they'll be rate*time=distance --> 26*1/60=13/30 miles apart.   Answer: 13/30.
Answer: D
Using all the letters of the word "THURSDAY", how many different words can be formed? Choose one
A) 7	B) 8!	C) 9	D) 3	E) 1

Solution: Total number of letters = 8   Using these letters the number of 8 letters words formed is ⁸P₈ = 8!.   Answer:8!
Answer: B
The distance between Delhi and Mathura is 130 kms. A starts from Delhi with a speed of 25 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 30 kmph at 9 p.m. from Delhi. When will they meet? Choices: A) 11 B) 77 C) 16 D) 10 E) 98

Solution: D = 130 – 25 = 105   RS = 30 + 25= 
30 + 25 = 55
55   T= 105/55 = 2 hours   8 a.m. + 2 = 11 a.m..11nswer: 11
Answer: A
In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+y? Choices:
A) -5
B) -1
C) 1
D) 5
E) 6

Solution: lets start from z, as per the question stem   z + 5 + 7 = 16   -->> z= 4   similarly, y + 4 + 5 = 7   --> y = -2   similarly,, x + -2 + 4 = 5   --> x = 3   hence , x+y = 3-2= 
3-2 = 1
1   ANSWER:1
Answer: C
If x and y are positive integers, then xy + x is
Select the correct option:
A) Always even	B) Always odd	C) Even whenever x is even	D) Even whenever x + y is odd	E) It cannot be determined from the information given

Solution: xy + x can be factorized as x(y + 1) by taking out x common.   Now, anything multiplied by even is always even.   Answer (Even whenever x is even).
Answer: C
What is the product of all the possible values of x if x^2+4x+7=|x+2|+3  Choices:  A) -6  B) –12  C) 12  D) 29  E) 168

Solution: x^2+4x+4=|x+2|   (X+2)^2 = |x+2|   Only 3 values possible,   x = -3, x = -2, x =-1   So multiplication = -6   answer option -6   -6NSWER:-6
Answer: A
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
Choose the most appropriate option:  A) Rs. 1900  B) Rs. 2660  C) Rs. 2800  D) Rs. 2840  E) Rs. 2478

Solution: For managing, A received = 5% of Rs. 7400 = Rs. 370.   Balance = Rs. (7400 - 370) = Rs. 7030.   Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)   = 39000 : 42000 : 30000   = 13 : 14 : 10   B's share = Rs. (7030 x	14/37) = Rs. 2660.
Answer: B
If x = (y)(y + 1) and y is a prime number less than 10, which of the following could not be the product of 2 consecutive integers?	Answers
A) a) 5x B) b) 11x C) c) 16x D) d) 30x E) e) 57x

Solution: Given y is a prime number less than 11   possible values of y are 2 3 5 7   given, x=y*(y+1)   if y = 2 x=2*3= 
2*3 = 6
6   if y= 3 x=3*4= 
3*4 = 12
12   if y= 5 x=5*6= 
5*6 = 30
30   if y= 7 x=7*8= 
7*8 = 56
56   so possible values of x are 6,12,30,56   So from options   A. 5x can be (5*6)   B. 11x can be (11*12)   C. 16x can be (16*17)   D. 30x can be (30*31)   E. 57x can be (56*57)   So answer option c) 16x
Answer: C
he average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Choices:
A) 22
B) 28
C) 15
D) 199
E) 21

Solution: Total members in the group = 7   Average amount = Rs. 20   Total amount with them = 7 * 20 = Rs. 140   One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90   The average amount with them = 90/6 = Rs. 15.Answer: 15
Answer: C
A statue is being carved by a sculptor. The original piece of marble weighed 140 kg. In the first week 60 percent is cut away. In the second week 40 percent of the remainder is cut away. In the third week the statue is completed when 30 percent of the remainder is cut away. What is the weight of the final statue?  Choose the correct choice
A) 24 kg
B) 23 kg
C) 28 kg
D) 25 kg
E) 27 kg

Solution: 24 kg   24 kg   140 Ã— 0.4 Ã— 0.6 Ã— 0.7 = 24 kg.
Answer: A
A library has an average of 510 visitors on sundays and 240 on other days . The avearge number of visitors per day in a month of 30 days beginning with a sunday is?	Choose the correct choice from the following choices: A) 150 B) 225 C) 285 D) 315 E) 374

Solution: Since the month begin with sunday, so there will be five sundays in the month   Required average = (510*5 + 240*25)/30 = 8550/30= 
8550/30 = 285
285   Answer is 285
Answer: C
a number divided by 24 leaves remainder 56 what is the remainder when same number divided by 7	Choose the correct answer: A) 9 B) 7 C) 5 D) 3 E) 1

Solution: add 24+56= 
24+56 = 80
80   now 80 divided by 7 so we get 3 as reaminder   ANSWER:3
Answer: D
If three sides of the triangle are 8 , 15 and A respectively then the how many values can A ? Choose the correct choice from the following options.
A) [A] 6
B) [B] 7
C) [C] 8
D) [D]9
E) [E] infinite number of values

Solution: Needed: How many Values can A take   Concept: Sum of any two sides of a triangle is greater then the third side.   Case 1: 8+5 > A => A<13   Case 2: 5+A > 8 => A >3   Case 3: 8+A > 5 => A > -3 (Always true since A is one side of a Triangle)   Finally, 3 < A < 13. So, we can have infinite number of sides between 3 and 13.   Answer = E   PS: If question said A can take only integer value, the A = 9. Answer choice [D]9.
Answer: D
In a paper factory 150 samples of sheets of paper were taken from a machine and checked for quality. Of these 150 samples, it was found that 3 sheets of paper were defective. If 500 bundles (10,000 sheets of paper per bundle) were produced by this machine, what is the approximate number of sheets of paper defective?
Choose the correct choice from the following.
A) 150,000 B) 10,000 C) 1,250 D) 1,500 E) 100,000

Solution: Let D = sheets of paper made by the machine = 5,000,000,   B = sample number of sheets of paper = 150,   A = defective sample sheets of paper = 3, and   C = defective sheets of paper from machine, then:   Proportion: A/B = C/D   Proportion: 3/150 = C/5,000,000   C = 100,000. There are approximately 100,000 healthy fish in the pond.   Answer is 100,000
Answer: E
Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is	Choose one
A) 1.967  B) 1.963  C) 2.388  D) 3.388  E) 2.382

Solution: Explanation:   required area = (area of an equilateral triangle of side 7 cm)- (3 * area of sector with Ã = 60 degrees and r = 3.5cm)   \inline {\color{Black}(\frac{\sqrt{3}}{4}\times 7\times 7 )-(3\times \frac{22}{7}\times 3.5\times 3.5\times \frac{60}{360})} sq cm   =\inline {\color{Black}(\frac{\sqrt{3}}{4}\times 49 )-(11\times 0.5\times 3.5)} sq cm   = 1.967 sq cm   1.967nswer: 1.967) 1.967
Answer: A
Total of the ages of A, B ahd C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2:
3. What is the age of B at present  Select
A) 25  B) 30  C) 45  D) 60  E) 65

Solution: Explanation:   Let their ages 10 years ago is x, 2x and 3x years.   10 + 2x + 10 + 3x + 10 = 90 hence x= 10   30�s present age = (2x + 10) =30 years   Answer: Option 30
Answer: B
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 40% profit?  Choose the correct choice from the following answers
A) 277	B) 960	C) 896	D) 266	E) 121

Solution: Let C.P. = Rs. x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 14% of Rs. 640 = 140/100 * 640 = Rs. 896.   Answer: 896
Answer: C
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?  Choose the correct option
A) 18 cm	B) 20 cm	C) 22 cm	D) 24 cm	E) 26 cm

Solution: 2(l + b)	=	5   b	1   2l + 2b = 5b   3b = 2l   b =	2	l   3   Then, Area = 216 cm2   l x b = 216   l x	2	l	= 216   3   l2 = 324   l = 18 cm.   18 cm)
Answer: A
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is? Choose the correct answer:  A) 32  B) 55  C) 6  D) 78  E) 81

Solution: S = (100 + 300)/45 = 400/45 * 18/5= 
400/45 * 18/5 = 32
32   32nswer: 32
Answer: A
There is a sequence ni such, in which i is a positive integer, ni+1=2ni.
If n1=1, n2=2, n3=4, n4=8, what is the scope including n61? Choose the correct choice
A) 100~1,000	B) 1,000~10,000	C) 10,000~100,000	D) 100,000~1,000,000	E) 1,000,000,000,000,000,000~

Solution: There is a sequence ni such, in which i is a positive integer, ni+1=2ni.   If n1=1, n2=2, n3=4, n4=8, what is the scope including n61?   A. 100~1,000   B. 1,000~10,000   C. 10,000~100,000   D. 100,000~1,000,000   E. 1,000,000~   -> ni=2^(i-1) -> 2^10=1,024>1,000=10^3 -> n61=2^60=(2^10)^6>(10^3)^6=10^18   Thus, the answer is 1,000,000,000,000,000,000~.
Answer: E
Forks, Spoons, and Knives in drawer are in the ratio of 4: 4 : 3. If there are 16 Forks, the number of Knives in the drawer is:
Choose the correct option:
A) 8	B) 4	C) 12	D) 16	E) 14

Solution: Explanation :   Let Forks = 4x, Spoons = 4x & Knives = 3x. Now, 4x = 16 hence x = 4.   Number of Knives = 3x = 12.   Answer : 12
Answer: C
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
Answers:
A) 8
B) 2
C) 4
D) 6
E) 5

Solution: 33 + 43 + 53   = a3   => a = 6   Answer: 6
Answer: D
Bobby bought 2 shares, and which he sold for $124 each. If he had a profit of 40% on the sale of one of the shares but a loss of 17% on the sale of the other share, then on the sale of both shares Bobby had... Select:	A) a profit of 10	B) a profit of 8	C) a loss of 8	D) a loss of 10	E) neither a profit nor a loss

Solution: Cost of the first stock: 124/1.4=88.57, so profit from it  124-88.57= 
 124-88.57 = 35.43
35.43   Cost of the second stock: 124/0.83=149.39, so loss from it 124-149.39=-25.39   Overall profit 35.43-25.39=10   a profit of 10nswer: a profit of 10.
Answer: A