MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 1/4 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Select the correct option.
A) x/3  B) x/2  C) 2x/3  D) 3x  E) 2x

Solution: x/(x+y) = 1/4   4x = x+y   3x = y   y = 3x   Answer 3x
Answer: D
Suppose we have six marbles: 3 blue marbles, 2 yellow marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?	Choose the correct answer:  A) 190  B) 180  C) 200  D) 240  E) 160

Solution: # ways to distribute Blue marbels(3) is :   1 in each cup= 1   2 in one cup and 1 in other=6   all 3 in one cup = 3   total 1+6+3= 
1+6+3 = 10
10 possibilities   # ways to distribute yellow marbels(2) is :   1 in each cup= 3 ways   all in one cup = 3ways   total 6ways.   # ways to distribute Green marbels(1) is :   3 ways   total number of ways = 10*6 *3= 
10*6 *3 = 180
180   180
Answer: B
If s is the product of the integers from 10 to 20 inclusive, and if t is the product of the integers from 10 to 21 inclusive, what is 1/s + 1/t in terms of t?	Choose the correct choice from the following answers
A) 22/t
B) 24/t
C) 26/t
D) 28/t
E) 30/t

Solution: Similarly in the actual problem   s =t/21. 1/s = 1/(t/21) or 1/s = 21/t   1/s + 1/t = 21/t + 1/t = 22/t   22/t
Answer: A
Sam purchased 20 dozens of shirts at the rate of $ 375 per dozen. He sold each one of them at the rate of $ 33. What was his percentage profit? Choose the correct choice from the following:	A) 5%	B) 4.8%	C) 5.6%	D) 8.2%	E) 6%

Solution: C   5.6%   C.P. of 1 shirt = 375/12= 
375/12 = 125/4 = around 31.25
$ 31.25   S.P of 1 shirt= $ 33   Profit = 1.75/31.25 * 100 = 28/5= 
28/5 = 28/5 = around 5.6
5.6%
Answer: C
If t= 4p, where p is a prime number greater than 2, how many different positive even divisors does t have, including t ? Choose the correct choice from the following choices.
A) Two  B) Three  C) Four  D) Six  E) Eight

Solution: t=4p   since t = 4p thenevendivisors are:   4p/4p= 1   4p/2p  4 /4= 
  4 /4 = 1
1   4p/2p= 2   4p/44 /2= 
4 /2 = 2
2   4p/4= p   4p/2= 2p   so the answer is (Four)4 /2= 
4 /2 = 2
2p   so the answer is (Four)
Answer: C
A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.	Choose the correct choice:
A) 551/15134
B) 551/15139
C) 551/15132
D) 551/15196
E) 551/15766

Solution: Explanation:   Total number of elementary events = \inline {\color{Black}50C_{5}}   Given,third ticket =30   => first and second should come from tickets numbered 1 to 29 = \inline {\color{Black}29C_{2}} ways and remaining two in \inline {\color{Black}20C_{2}} ways.   Therfore,favourable number of events = \inline {\color{Black}29C_{2}\times 20C_{2}}   Hence,required probability = \inline {\color{Blue}(29C_{2}\times 20C_{2})/50C_{5}} =551 / 15134   551/15134nswer: 551/15134) 551/15134
Answer: A
R is the set of positive odd integers less than 50, 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 answer:
A) None  B) Two  C) Four  D) Five  E) Seven

Solution: squares < 50 {1,4,9,16,25,36,49 }   S = {1,9,25,49}   R = {1,3,.....49}   Hence Four.
Answer: C
A certain essay consists of 16 paragraphs. Each paragraph contains at least 120 words but not more than 130 words. Which of the following could be the total number of words in the essay?	Answers.
A) 1440 B) 1540 C) 1640 D) 1740 E) 1940

Solution: lets consider minimum no of words ... 16 * 120 = 1920   Lets consider maximum no of words .... 16*130= 2080   answer should be one of these two values or should lie between these two values ...   only 1 option 1940 - 1940
Answer: E
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choices
A) 50028	B) 50035	C) 50400	D) 50723	E) 33030

Solution: This has 7 (6 + 1) letters of which R occurs 2 times and the rest are different.   Number of ways arranging these letters =	7!/2!	= 2520.   Now, 5 vowels in which O occurs 3 times and the rest are different, can be arranged   in	5!/3!	= 20 ways.   Required number of ways = (2520 x 20) = 50400.   Answer:50723
Answer: D
A boy has 5 pens out of which a pair is to be selected for an examination. At most, how many different pairs are possible?  Choose the correct answer:
A) 20
B) 10
C) 5
D) 40
E) 10

Solution: N=5C2=5!/(3!2!)=5*2= 
5*2 = 10
10   Correct Option: 10
Answer: E
2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 24 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?  Choose one:
A) 15 km/hr
B) 16 km/hr
C) 17 km/hr
D) 18 km/hr
E) None of these

Solution: Explanation :   Total distance covered by B=24*6= 
24*6 = 144
144kmTotal time taken by A to cover same distance=2+6= 
2+6 = 8
8 hrsaverage speed of A=144/8= 
144/8 = 18
18 km/hr   Answer : 18 km/hr
Answer: D
Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?  Choose the most appropriate option.
A) 1 year
B) 3 year
C) 6 year
D) 8 year
E) 2 year

Solution: 6 * 22= 
6 * 22 = 132
132   7 * 19= 
7 * 19 = 133
133   --------------   1   1 yearnswer:1 year
Answer: A
A certain psychologist charges $30 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $400, what is the total charge to a patient who receives only 3 hours of therapy ?	Choose the correct choice from the following answers:  A) $120  B) $135  C) $150  D) $165  E) $252

Solution: Let the charge for first hour = x+30   then charge for each additional hour = x   x+30 + 4x = 400   => 5x = 370   => x = 74   Total charge for patient for 3 hours of therapy = x+30 + 2x = 3x+30   = 252 $   Answer $252
Answer: E
C is a working partner and B and A is a sleeping partner in a business. A puts in 50,000 and B 60,000 and C puts in 40000. C gets 25% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of 20000.	Choose the correct option
A) 4800 B) 4500 C) 5400 D) 5000 E) None of these

Solution: The amount C gets for managing   = 25% of Rs. 20000 = 5000   Remaining profit = 20000 – 5000 = 15000   This is to be divided in the ratio 5 : 6 : 4   Share of A = 5/15 of 15000 = 5000   Answer 5000
Answer: D
By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Select.
A) 8 B) 9 C) 16 D) 6 E) 4

Solution: 80% --- 24   120% --- ?     80/120 * 24= 
  80/120 * 24 = 16
16   Answer: 16
Answer: C
A sum of money is distributed among A,B,C,D in the proportion of 5:2:4:3. If C gets $1000 more than D, what is the B's share?	Pick:
A) $1000  B) $2000  C) $2500  D) $2850  E) $2950

Solution: Let the shares of A,$2000,C,D are 5x,2x,4x,3x   4x-3x = 1000   x = 1000   $2000's share = 2x = $2000   Answer is $2000
Answer: B
If Renee earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?
Pick:
A) 1/4  B) 1/5  C) 1/10  D) 2/25  E) 1/20

Solution: 5% is 5/100 = 1/20   10% is 10/100 = 1/10   The increase must be greater than 1/20 and less than 1/10.   1/4, 1/5, and 1/10 are not less than 1/10.   1/20 is not greater than 1/20.   The only option left is 2/25, which is in the specified range.   ANSWER:2/25
Answer: D
In a box, there are 4 blue, 6 white and 5 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?  Choose one:  A) 3/16  B) 5/15  C) 8/32  D) 2/32  E) 9/32

Solution: Total number of bulbs = (4 + 6 + 5)= 
(4 + 6 + 5) = 15
15.   Let E= event that the bulb drawn is neither white nor blue = event that the bulb drawn is yellow.   Therefore, P(E)=5/15   ANSWER:5/15
Answer: B
A man bought 10 crates of bananas for $100 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 100 percent of the total cost?
Choose one:
A) $35
B) $45
C) $50
D) $25
E) $40

Solution: As given, after lost, the remaining 8 crates total cost = $100   So, 1 crate cost = 100/8= 
100/8 = 25/2 = around 12.5
12.5   To get 100% profit, 1 crate cost should be=12.5+12.5*100/100= 
12.5+12.5*100/100 = 25
$25   Answer : $25
Answer: D
How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 11, without any of the digits repeating? Choose the correct choice from the following options
A) 216  B) 96  C) 81  D) 72  E) 100

Solution: 0,1,2,3,4,5   One digit will have to remain out for all 5 digit numbers;   if 0 is out; Leftover digits will be 1,2,3,4,5 = Sum(1,2,3,4,5)=15. ignore   if 1 is out; Leftover digits will be 0,2,3,4,5 = Sum(0,2,3,4,5)=14. Ignore   if 3 is out; Leftover digits will be 0,1,2,4,5 = Sum(0,1,2,4,5)=12. ignore   if 4 is out; Leftover digits will be 0,1,2,3,5 = Sum(0,1,2,3,5)=11. =96   if 5 is out; Leftover digits will be 0,1,2,3,4 = Sum(0,1,2,3,4)=10. Ignore   Total count of numbers divisible by 11 = 96 = 96   Ans:96
Answer: B
If n = 2.0423 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?	Pick one:
A) -0.0053 B) -0.0023 C) 0.0007 D) 0.0047 E) 0.0153

Solution: n*=2.04   n*-n=2.04-2.0423   -0.0023   Answer: -0.0023
Answer: B
A seven-digit number comprises of only 2's and 3's. How many of these are multiples of 12? Select the correct option
A) 11 B) 12 C) 10 D) 22 E) 44

Solution: DETAILED SOLUTION   Number should be a multiple of 3 and 4. So, the sum of the digits should be a multiple of 3. WE can either have all seven digits as 3, or have three 2's and four 3's, or six 2's and a 3. (The number of 2's should be a multiple of 3).   For the number to be a multiple of 4, the last 2 digits should be 32. Now, let us combine these two.   All seven 3's - No possibility.   Three 2's and four 3's - The first 5 digits should have two 2's and three 3's in some order. No of possibilities = 5!3!2! = 10   Six 2's and one 3 - The first 5 digits should all be 2's. So, there is only one number 2222232.   So, there are a total of  10 + 1= 
 10 + 1 = 11
11 solutions.   CORRECT 11NSWER : 11.
Answer: A
Which of the following fractions is the largest ?
Choose the correct choice from the following:
A) 7/8  B) 13/16  C) 31/40  D) 63/80  E) 72/80

Solution: LCM of 8, 16, 40 , 80 is 80   7/8 * 10/10 = 70/80   16/16 * 5/5 = 65/80   31/40 * 2/2 = 62/80   63/80   Clearly 70/80 > 65/80 >63/80 >62/80   hence 7/8 is largest 7/8NSWER : 7/8
Answer: A
A searchlight on top of the watch-tower makes 6 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds? Choose the correct choice from the following options:
A) 1/4
B) 1/3
C) 1/2
D) 2/3
E) 1

Solution: 6 revolutions per minute = 1 revolution every 10 seconds   So no matter what anybody appearing at the tower cannot stay in the dark for more than 10 seconds. This will be our total number of possibilities i.e the denominator.   P(man in dark for at least 10 seconds) = 1 - P (man in dark for max of 10 seconds) = 1 - 10/10 = 1 - 1= 
1 - 1 = 0
0   or the other way would be:   P(man in dark for at least 10 seconds) is like saying he can be in dark for 5,6,7...all the way to 10 seconds because that is the max. In this approach it would be 10/10= 
10/10 = 1
1.   Answer is 1
Answer: E
Suppose that fresh fruit contains 32% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100kg of fresh fruit?	Choices.
A) A)32kg	B) B)40kg	C) C)52kg	D) D)80kg	E) E)85kg

Solution: Quantity of pulp in 100kg of fresh fruits = (100-32)% of 100kg = 68 kg   Let the quantity of dry fruit obtained be x kg   then, (100-20)% of x = 68   (80/100)*x = 68   x = 85   correct option is 85kg
Answer: E
A woman is 18 years older than her son. In two years, her age will be twice the age of her son. The present age of her son is: Choose the most appropriate option.
A) 20	B) 16	C) 22	D) 23	E) 24

Solution: Let the son's present age be x years. Then, woman's present age = (x + 18) years.   (x + 18) + 2 = 2(x + 2)   x + 20 = 2x + 4   x = 16.   Answer:16
Answer: B
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 4, what is the probability that one of the two cards drawn is numbered 2 ?  Select the correct option
A) 1/3 B) 1/2 C) 1/4 D) 1/5 E) 1/6

Solution: (2,2) (3,1) (1,3) – only 3 possible scenarios for sum to be 4.   From this three cases, only one we have 2. So, the probability is 1 chances out of 3 that the one that occurred had 2: P=1/3.   1/3nswer: 1/3.
Answer: A
A room contains 160 people, 25 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?  Select the correct option
A) 10
B) 20
C) 40
D) 60
E) 120

Solution: Say group of x people left the room.   # of women in the room was 0.25*160= 
0.25*160 = 40
40;   # of women in the group that left 0.3x;   # of women in the room after the group left it is 0.1(160-x);   So, 40-0.3x= 0.1(160-x) --> x=120.   Answer: 120.
Answer: E
A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price V per t-shirt that the vendor paid for these purchases?
Select the correct option:  A) $12.20  B) $12.50  C) $12.55  D) $12.70  E) $13.00

Solution: Correct Answer: A   Explanation: The relevant formula for this problem is Average V= (Sum)/(Number of Terms). Another way to look at the formula is Sum = Average x Number of Terms. For the first purchase, the vendor's sum (total cost) was $140, since 14 x 10 = 140. For the second purchase, the vendor's cost was $165, since 11 x 15 = 165. The grand sum is then $140 + $165, which equals $305. The total number of shirts purchased was 25, so to get the average price per shirt, we divide 305 by 25, which equals $12.20. As a result, the correct answer is A.   NOTE: A relative understanding of weighted average offers a shortcut to this problem. Because the true average of 11 and 14 is 12.5, but the vendor sells more shirts at the lower price than at the higher price, the weighted average must be less than $12.50; only answer choice $12.20 is a possibility.
Answer: A
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road? Choose the correct answer:
A) 3
B) 5
C) 7
D) 8
E) 9

Solution: Area of the park = (60 x 40) m2 = 2400 m2.   Area of the lawn = 2109 m2.   Area of the crossroads = (2400 - 2109) m2 = 291 m2.   Let the width of the road be x metres. Then,   60x + 40x - x2 = 291   x2 - 100x + 291 = 0   (x - 97)(x - 3) = 0   x = 3.   3)
Answer: A
A boat covers a distance of 30 km downstream in 2 hours while it take 6 hours to cover the same distance upstream. If the speed of the current is half of the speed of the boat then what is the speed of the boat in km per hour?	Choose the correct choice from the following.
A) 15 kmph	B) 5 kmph	C) 10 kmph	D) Data inadequate	E) None of these

Solution: Here downstream speed = 15 km/hr and upstream speed = 5 km/hr   ∴ Speed of the boat = 15+5/2=10km/h   Answer 10 kmph
Answer: C
A boat can move upstream at 50 kmph and downstream at 30 kmph, then the speed of the current is?	Answers:
A) 10
B) 9
C) 5
D) 9
E) 5

Solution: US = 50   DS = 30   M = (50 - 30)/2= 
(50 - 30)/2 = 10
10   10nswer is 10
Answer: A
The area of a parallelogram is 288sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choose the correct choice from the following answers
A) 8	B) 9	C) 7	D) 62	E) 12

Solution: 2x * x = 288 => x= 12   Answer: 12
Answer: E
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100? Choose the correct choice from the following answers.
A) 14	B) 61	C) 25	D) 72	E) 62

Solution: A scores 60 while B score 40 and C scores 30.   The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3= 
25 * 3 = 75
75.   In a game of 100 points, B gives (100 - 75)= 
(100 - 75) = 25
25 points to C.   Answer:25
Answer: C
A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover? Choose one:
A) 76
B) 65
C) 59.5
D) 49
E) 38.5

Solution: Area covered by picture = (8.5-3)*(10-3)   =5.5*7= 
5.5*7 = 38.5
38.5   Answer 38.5
Answer: E
Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, the three numbers in order are?	Select.
A) 48,96,24 B) 48,24,96 C) 96,24,48 D) 96,48,24 E) 98,48,24

Solution: Let the numbers be 2X, X and 4X   Average = (2X + X + 4X)/3   => 7X/3 = 56   => X = (3 x 56)/7 = 24   Hence, the numbers in order are 48, 24 and 96   ANSWER:48,24,96
Answer: B
What percent of 15 kg is 30 gms ?	Answers:
A) 25 B) 66 C) 20 D) 19 E) 17

Solution: Explanation:   Required percentage = (30/15000 * 100)% = 1/5= 
1/5 = 1/5 = around 0.2
0.2%   Answer: 20) .20%
Answer: C
Imagine an analog clock set to 12 o'clock. Note that the hour and minute hands overlap. How many times each day do both the hour and minute hands overlap? How would you determine the exact times of the day that this occurs?	Choose the correct option.
A) 11
B) 12
C) 22
D) 24
E) 44

Solution: 22 times in a day.   12,1 hours 60/11 minutes , 2 hours 120/11 minutes , ...so on till 12( 11 hours 660/11 minutes)   ANSWER:22
Answer: C
A jogger running at 9 km/hr along side a railway track is 290 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?	Choose the correct option:
A) 67 sec
B) 89 sec
C) 36 sec
D) 87 sec
E) 41 sec

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 290 + 120= 
290 + 120 = 410
410 m.   Time taken= 410/10= 
410/10 = 41
41 sec.   Answer: 41 sec
Answer: E
The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Pick:
A) 0.8321
B) 0.8484
C) 0.8571
D) 0.7531
E) 0.8213

Solution: Out of 100 matches:   Matt is plays in 80 and not plays in 20.   Out of 80 matches Matt plays in, team wins   0.70*80= 
  0.70*80 = 56
56   Out of 20 matches Matt does not play in, team wins   0.5*20= 
  0.5*20 = 10
10.   So, out of 100 matches 56 + 10= 
56 + 10 = 66
66 are won.   It is known that the team has won the last match. Out of 66 matches won, Matt is in 56: 56/66= 0.8484...   Answer: 0.8484.
Answer: B
A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 15
matches are totally played, how many teams participated? Choose the correct answer:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: 2 ways to solve this problem..   summation(x)=n(n-1)/2   n(n-1)/2=15;   n^2-n-30=0   Ans : 6   ANSWER:6
Answer: C
A man has Rs. 464 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?  Choose the most appropriate option
A) 87 B) 90 C) 95 D) 98 E) 100

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 464   16x = 464   x = 29.   Hence, total number of notes = 3x = 87.   87
Answer: A
A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:
Choose the correct choice from the following options
A) 1.25 kg B) 1.29 kg C) 1.85 kg D) 3.25 kg E) 1.23 kg

Solution: 1.25 kgnswer: 1.25 kg) 1.25 kg
Answer: A
An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 15 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Choose the correct choice from the following answers:
A) 1340 B) 1445 C) 1375 D) 1415 E) 1455

Solution: $25 per packet of gasket in case a customer orders less than 10   in case a customer orders > 10 price per gasket = 25*4/5= 
25*4/5 = 20
20   a certain week the supplier sold 60 gasket   1.he sold 15 % of the gaskets to X= 9 gaskets = 25*9= 
25*9 = 225
225   2.he sold 15 % of the gaskets to Y= 9 gaskets = 25*9= 
25*9 = 225
225   3.he sold remaining 70% to z=42 gaskets = 25*10= 
25*10 = 250
250 + 20*32= 
250 + 20*32 = 890
890   thus ,total money earned   225+225+890= 
225+225+890 = 1_340
1340   1340nswer is 1340
Answer: A
Tom drives from town E to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between E and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?  Choose the correct choice:
A) 12  B) 20  C) 24  D) 30  E) 36

Solution: Let's assume that it takes 4 hours to go from point E to B. Then the distance between them becomes 240 which makes distance between B and C 120. (240+120)/(4+x) gives us the average speed which is 36. You find x=6. So the question simplifies itself to   120/6= 
  120/6 = 20
20   Hence the answer is 20.
Answer: B
if w,x,y,z represents the respective results obtained from rounding off the figure 8623.293 to the nearest thousand, hundred, ten and one, which of the following statements is accurate?	Choose the correct answer: A) x<y<z<w B) x<z<y<w C) x<w<z<y D) z<y<x<w E) d<c<b<a

Solution: 8623.293..   Nearest thousand 9000..w   Nearest hundred 8600..x   Nearest ten 8620..y   Nearest one 8623...z   x<y<z<w   The correct option is x<y<z<w
Answer: A
In a lottery there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a blank? Choose the correct choice from the following answers.
A) 2/3
B) 6/7
C) 5/7
D) 8/7
E) 4/3

Solution: total draws = prizes+blanks= 10+25= 
10+25 = 35
35   probability of getting a blank= 25/35 = 5/7   correct option is 5/7
Answer: C
A train 150 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Choose one:  A) 5  B) 6  C) 7  D) 9  E) 8

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 150 * 3/55 = 8 sec.Answer: 8
Answer: E