MU-NLPC/Calc-aqua_rat huggingface dataset:
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $80, what was the final price of the sweater?
Select.
A) $25.75 B) $35.75 C) $15.75 D) $ 45.75 E) $42

Solution: The price with 30% off   80 - 30% of 80 = 80 - (30 / 100) *80= 
80 - (30 / 100) *80 = 56
56   The price with another 25% off   56 - 25% of 56= 56 - (25/100)* 56= 
56 - (25/100)* 56 = 42
$42   correct answer $42
Answer: E
In how many different number of ways 4 boys and 2 girls can sit on a bench?  Choose the most appropriate option.
A) 720 B) 740 C) 760 D) 780 E) 800

Solution: npn = n!   6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720   720
Answer: A
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choose the correct choice from the following answers:
A) 3 : 4 : 8
B) 3 : 4 : 7
C) 3 : 4 : 2
D) 3 : 4 : 1
E) 3 : 4 : 5

Solution: A : B : C = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)   = 144 : 192 : 336   = 3 : 4 : 7.   Answer: 3 : 4 : 7
Answer: B
The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum R of all the digits of the integers from 0 to 99 inclusive?	Choose the correct choice from the following options
A) 450  B) 810  C) 900  D) 1000  E) 1100

Solution: We want the sum of the digits from 0 to 99, so I approximated:   0-9 ->45-> (9+0)*10/2   40-49 ->85(13+4)*10/2   90-99 ->135(18+9)*10/2   We can see at a glance that theweightgoes up as the numbers go up (meaning the difference between 85 and 45 is 40, while 135-85 is 50, this means that the second part of this sequence carries more weight for our result), so we know that the final answer has to be more than 850 (85*10) but close to it, and that's just R=900:the answer is 900.
Answer: C
The overall age of X and Y is 18 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Choose the correct choice from the following options
A) 11  B) 15  C) 12  D) 17  E) 18

Solution: 18   18   (X + Y) â€“ (Y + Z) = 18   X â€“ Z = 18
Answer: E
How many positive factors do 150 and 90 have in common? Options:  A) 8  B) 12  C) 16  D) 18  E) 24

Solution: The number of common factors will be same as number of factors of the Highest Common Factor(HCF)   HCF of 150 and 90 is 30   Number of factors of 30 = 8   8nswer :8
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
Choose one
A) 1:3	B) 3:1	C) 2:3	D) 3:2	E) 3:4

Solution: Let the speed of the trains be x and y respectively   length of train1 = 27x   length of train2 = 17y   Relative speed= x+ y   Time taken to cross each other = 23 s   = (27x + 17 y)/(x+y) = 23   = (27x + 17 y)/ = 23(x+y)   = 4x = 6y   =x/y = 6/4 = 3/2 i.e 3:2   Answer :3:2
Answer: D
John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?	Select
A) 7
B) 8
C) 12
D) 14
E) 16

Solution: Sol. RMBflSk -6 = 3 (Ravi - 6) ...(j)   and Rupesh + 6 = | (Ravi + 6) ...(ii)   Solving both the equations we get,   Ravi = 12 years.   12
Answer: C
A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17. What was the number erased?  Choose the correct choice
A) SEVEN 7 B) 8 C) 9 D) 15 E) 17

Solution: 2) The average of the new group of numbers is 35 7/17. The denominator of THAT fraction tells us that the total number of terms in the new list MUST be a multiple of 17:   17, 34, 51, 68, 85, etc.   3) Since we're removing 1 number from a list of consecutive positive integers, we could quickly limit down the possible number of terms in the ORIGINAL list:   If new = 17, old = 18, but the numbers from 1 to 18 would NOT have an average in the mid-30s (it would be much smaller). ELIMINATE this option.   If new = 34, old = 35, but we run into the same problem. The average won't match here either. ELIMINATE this option.   If new = 51, old = 52, same problem here. ELIMINATE this option.   If new = 68, old = 69....HERE we have a group of numbers that might just be what we're looking for.   In theold group, the average is themiddle term= 35, which is REALLY close to the new average once we remove a number.   Now, we just have to figure out which of the 5 answers was removed (and that changed the new average to 35 7/17). There are a couple of ways to do this math, but I'm going to use the answers to save myself some steps:   Sum of 1 to 69, inclusive = 69(35) = 2415   Remove Answer B....2415 - 8 = 2407   New average = 2407/68 = 35 27/68   Now, we can compare 27/68 to 7/17   27/68 and 28/68   This is REALLY close, but is not the answer. Eliminate B. The answer is either A or C.   Since 28/68 is a BIGGER fraction than 27/68, we need the sum (of the 68 integers) to be BIGGER...which means we need to remove a SMALLER number.   Final SEVEN 7nswer:   SEVEN 7
Answer: A
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 33∘, the temperature of Friday was :	Pick one
A) 41∘
B) 39∘
C) 38∘
D) 30∘
E) None of these

Solution: Explanation:   M+T+W+Th=(4×38)=152   Monday temperature is 33. So T+W+Th=(152-33)= 
(152-33) = 119
119   T+W+Th+F=(4×40)=160   F = (160-119)= 
(160-119) = 41
41∘   Correct Option: 41∘
Answer: A
Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?	Choose the correct choice from the following choices.
A) 2/7 B) 3/7 C) 5/49 D) 6/49 E) 30/343

Solution: The number of ways to select w, x, and y is:   7*7*7= 
  7*7*7 = 343
343   The number of ways to choose three different numbers from the set is 7C3=35.   There are six permutations for each group of three different numbers, but only one permutation satisfies w < x < y.   P(w < x < y) = 35/343 = 5/49   The answer is 5/49.
Answer: C
How many positive integers e less than 30 have no common prime factor with 30?
Select.
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: e=30=2*3*5. So, the number must be less than 30 and not have primes 2, 3, or 5.   This means that the number could be: 1, 7, 11, 13, 17, 19, 23, or 29. Total of 8 numbers.   Answer: 8.
Answer: D
If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is :  Pick
A) ratio 20 : 35 : 63	B) 35 : 36 : 63	C) 30 : 35 : 65	D) 25 :34: 68	E) None of these

Solution: ratio 20 : 35 : 63 : B = 4 : 7   B : C = 5 :9 = 5*7/5 : 9 *7/5 = 7 : 63/5   ratio 20 : 35 : 63 : B : C = 4 : 7 : 63/5 = 20 : 35 : 63   ratio 20 : 35 : 63NSWER: ratio 20 : 35 : 63
Answer: A
17 balls are numbered 1 to 17. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?	Select.
A) 1/7
B) 3/14
C) 5/23
D) 7/34
E) 9/41

Solution: P(1st ball is even) = 8/17   P(2nd ball is also even) = 7/16   P(both balls are even) = 8/17 * 7/16 = 7/34   The answer is 7/34.
Answer: D
A train crosses a platform of 140 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?	Choose one:
A) 190 B) 88 C) 77 D) 62 E) 52

Solution: Length of the train be â€˜Xâ€™   X + 140/15 = X + 250/20   4X + 560 = 3X + 750   X = 190m   190nswer: 190
Answer: A
Out of 7 consonants and 4 vowels, how many words of 4 consonants and 2 vowels can be formed? Choose the correct choice from the following:
A) 25900	B) 151200	C) 210	D) 120	E) 720

Solution: Required selection = select 4 consonants from 7 and 2 vowels frm 4   = 7C4 * 4C2   = 210   As we have to form 6 letter word the above combination of consonants and vowels can be done in 6! = 720 different ways   Required no. of ways = 210 * 720= 
210 * 720 = 151_200
151200   Ans - 151200
Answer: B
The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 50 and n is not prime, what is the greatest possible value of f(n)?	Pick:
A) 48
B) 35
C) 31
D) 32
E) 28

Solution: Since we need the largest value of f (n), we will start with the largest option.   Option A: 48 = 2*2*2*2*3. This is not a product of distinct prime numbers. Hence incorrect   Option B: 35 = 5*7. This is a product of distinct prime numbers.   Rest all the options are smaller that 35.   Correct Option: 35
Answer: B
A cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? Choose the correct choice from the following options.
A) 8.1	B) 8.9	C) 8.6	D) 8.3	E) 9.0

Solution: Distance = d1 = x miles   Speed = s1 = 8 miles per hour   Time = t1 = Distance/ Speed = x/8   2. Going from B to A   Distance = d2 = x miles   Speed = s2 = 10 miles per hour   Time = t2 = Distance/ Speed = x/10   3. Average Speed = Total Distance/Total Time   Total Distance = x + x = 2x   Total Time = x/10 + x/8 = x (1/10 + 1/8) = =9x/40   Speed = 2x/(9x/40) = 80/9   = 8.9   Answer : 8.9
Answer: B
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?  Select the correct option
A) 2000 B) 2781 C) 2278 D) 2081 E) 2721

Solution: Explanation:   (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   2000nswer: 2000
Answer: A
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?	Choices:
A) 1000 B) 2888 C) 2771 D) 1261 E) 1121

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   1000nswer: 1000
Answer: A
In some language, 'COLLEGE' is written as 'FSOPHKH' and 'SCHOOL' is wriiten as 'VGKSRP'. Then What is for "STUDENT"??	Pick one.
A) VXWHHRW  B) VXXHIRW  C) VXWHIRX  D) VXXHHRW  E) VXXHHRS

Solution: In 'college' and "school'   1) odd letters has +3 letters more from the alphabets   2) even letter has +4 letters from the alphabets   OVXXHHRWVXXHHRW LETTERS EVEN LETTERS   -----------------------------   S--->V T--->X   U--->X VXXHHRW--->H   E--->H N--->R   T--->W   ANSWER:VXXHHRW
Answer: D
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Pick one.
A) 15  B) 25  C) 35  D) 45  E) 55

Solution: Explanation:   Let A's age 10 years ago = x years.   Then, B's age 10 years ago = 2x years.   (x + 10) / (2x+ l0) = 3/4   => x = 5.   So, the total of their present ages =(x + 10 + 2x + 10)   = (3x + 20) = 35 years. Answer: 35
Answer: C
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?  Pick one
A) 22
B) 29
C) 88
D) 28
E) 11

Solution: Clearly, every member except one (i.e. the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 - 1= 
30 - 1 = 29
29.   Answer:29
Answer: B
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 80 terms?
Choices.
A) 1	B) 21	C) 40/41	D) 80/81	E) 160/161

Solution: a1 = 1 - 1/2   a2 = 1/2 - 1/3   a3 = 1/3 - 1/4   etc...   a80 = 1/80 - 1/81   The sum of these terms is 1-1/81 = 80/81   The answer is 80/81.
Answer: D
A box contains ten bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good? Select
A) 5/21  B) 9/21  C) 7/21  D) 6/21  E) 8/21

Solution: Required probability = (5C3 . 5C1)/10C4 = (10 * 5)/210   = 5/21   5/21nswer:5/21
Answer: A
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is: Answers:
A) 11 B) 12 C) 10 D) 13 E) 10.5

Solution: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.   Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.   Ans- 10
Answer: C
If 25th of August in a year is Thursday, the number of Mondays in that month is	Choose the correct choice from the following options:	A) 4	B) 5	C) 2	D) 3	E) 1

Solution: Explanation:   Given that 25th August = Thursday   Hence 29th August = Monday   So 22nd,15th and 8th and 1st of August also will be Mondays   Number of Mondays in August = 5   Answer: Option 5
Answer: B
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 7 hats randomly out of the drawer and returning each hat before taking out the next one?  Choose the most appropriate option.
A) 3/4	B) 5/8	C) 9/16	D) 17/32	E) 35/64

Solution: Let's find the probability of getting exactly 3 red hats.   One possible case is red-red-red-blue-blue-blue-blue.   The probability of this is 1/2*1/2*1/2*1/2*1/2*1/2*1/2 = 1/128   There are 7C3 = 35 such cases so we need to multiply this by 35.   P(exactly 3 red hats) = 35*1/128 = 35/128   Clearly the probability of getting exactly 3 blue hats will also be 35/128.   The sum of the probabilities is 35/128+35/128 = 70/128 = 35/64   The answer is 35/64.
Answer: E
Set A contains all the even numbers between 12 and 50 inclusive. Set B contains all the even numbers between 112 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?  Choose one.
A) 2000 B) 2550 C) 5050 D) 6275 E) 11325

Solution: Set A contains 12,14 , 16 ... 50   Set B contains 112 , 114 , 116 ... 150   Number of terms in each set = 20   Difference between corresponding terms in set 2000 and B = 100   Difference between Sum of set B and set 2000 = 100*20= 
100*20 = 2_000
2000   2000nswer 2000
Answer: A
A person incurs 20% loss by selling a watch for $1000. At what price should the watch be sold to earn 20% profit?	Pick.
A) $1000  B) $950  C) $1500  D) $1150  E) $1250

Solution: Let the new selling price be $x   (100-loss%): (1st S.P.) = (100+gain%):(2nd S.P.)   (100-20)/1000 = (100+20)/x   x = 120*1000/80= 
120*1000/80 = 1_500
1500   Answer is $1500
Answer: C
What is the greatest power that 4 can be raised to so that the resulting number is a factor of 24!? Choose the correct choice from the following answers:	A) 2	B) 3	C) 4	D) 5	E) 6

Solution: the number of 4s in 24!= 24/4=6..   ans 6
Answer: E
A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
Pick one:
A) 5 5/9
B) 5 5/7
C) 5 5/2
D) 5 5/8
E) 5 5/1

Solution: Let sum = x. Then, amount = 7x/6   S.I. = 7x/6 - x = x/6; Time = 3 years.   Rate = (100 * x) / (x * 6 * 3) = 5 5/9 %.   5 5/9nswer:5 5/9
Answer: A
Two pipes can fill a tank in 10 hours and 12 hours. While the 3rd pipe empties the full tank in 20hours. If all the 3 pipes are open in how much time will the tank be filled?	Choose the correct choice from the following choices.
A) 6hr  B) 5hr  C) 7hr 30min  D) 8hr 20min  E) 9hr

Solution: Net part filled in 1 hour = 1/10 + 1/12 - 1/20 = 8/60 = 2/15   The tank will be full in 15/2 hours = 7hr 30min   Answer is 7hr 30min
Answer: C
A particular parking garage is increasing its rates by 25 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month? Choose the correct option:	A) 15%	B) 18%	C) 20%	D) 25%	E) 30%

Solution: Let x be the original number of days that Bob used the garage.   Let P be the original cost per day.   Let N*x be the new number of days that Bob uses the garage.   N*x*1.25P = x*P   N*x = x/1.25 = 0.8x, thus a 20% reduction.   The answer is 20%.
Answer: C
Which pair of numbers has least and maximum frequency in the given sequence?
8 7 5 6 4 5 8 3 8 6 7 2 3 5 8 3 5 7 6 4 7 6 5	Choose the correct choice.
A) 3 and 8  B) 4 and 5  C) 2 and 6  D) 2 and 5  E) 2 and 7

Solution: frequency means how many times the number occured in the given series   here they asked about least and max frequency   so in the given pair 2 occurs 1 time and 5 occurs 5 times   ANSWER:2 and 5
Answer: D
What is the diference between the place value and face value of 3 in the numeral 1375?
Choose the correct option:
A) 295  B) 297  C) 300  D) 310  E) 312

Solution: place value of 3 = 3 * 100= 
3 * 100 = 300
300   face value of 3= 3   300 - 3= 
300 - 3 = 297
297   297
Answer: B
Which of the following integers is NOT a divisor of x if x = (21)(3^6) – (109)?
Select the correct option
A) 2	B) 5	C) 18	D) 19	E) 25

Solution: (21)(3^6) is divisible by 3 but 109 is not divisible by 3.   Therefore (21)(3^6) - 109 is not divisible by 3 and thus not divisible by 18.   The answer is 18.
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Choose the correct answer.
A) 299	B) 288	C) 240	D) 775	E) 2321

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 36= 15   x + 300 = 540   x = 240 m. Answer: 240
Answer: C
Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 19.8 The difference between the unit digit and hundreds digit of that number is :
Choose the most appropriate option.
A) 2
B) 6
C) 5
D) 3
E) 4

Solution: Since the average increased by 29.7 and there were a total of 10 numbers, it means the incorrect number was 198 greater than the correct number.   Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)   Then the incorrect number was cba.   100c + 10b + a - (100a + 10b + c) = 198   99c - 99a = 99(c - a) = 198   198 = 99*2 = 99(c - a)   So c - a = 2   2nswer (2)
Answer: A
A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?  Select:
A) 3kmph
B) 4kmph
C) 5.1kmph
D) 6kmph
E) 7kmph

Solution: M = 5.5   S = 1.5   DS = 7   US = 4   AS = (2 * 7 * 4) /11 = 4   Answer:5.1kmph
Answer: C
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is: Choose the correct choice from the following answers.
A) 2/91
B) 3/52
C) 5/25
D) 8/45
E) 7/56

Solution: n(s)=no of ways of drawing 3 balls out of 15   15C3 = 15*14*13/3*2*1   ==>455   n(E)=5C3=5C2 = 5*4/2*1= 
5*4/2*1 = 10
10   p(E)=n(E)/n(S)=10/455 = 2/91   2/91NSWER 2/91
Answer: A
Working alone, pump A can empty a pool in 4 hours. Working alone, pump B can empty the same pool in 6 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?
Choose the correct choice from the following answers.
A) 132	B) 138	C) 144	D) 150	E) 156

Solution: Pump A can empty (1/4) of the pool per hour.   Pump B can empty (1/6) of the pool per hour.   Together the pumps can empty 1/4+1/6=5/12 of the pool per hour.   1 pool / (5/12) pool per hour = 12/5 hours = 144 minutes.   The answer is 144.
Answer: C
The ratio of spinsters to cats is 2 to 7. If there are 55 more cats than spinsters, how many spinsters are there?  Pick.
A) 20
B) 21
C) 22
D) 23
E) 24

Solution: Let 2x be the number of spinsters. Then 7x is the number of cats.   7x-2x=55   x=11 and the number of spinsters is 2(11)=22.   The answer is 22.
Answer: C
If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the E odds that x^2+y^2>1?
Choose the correct option.
A) 1. pi/4	B) 2. E=pi/16	C) 3. E=1-pi/4	D) 4. 1-pi/16	E) 5.4-pi

Solution: area of the square will be 4, and the area of circle with center (0,0) and radius 1 will be pi.   then succesful outcomes = 4 - pi (the area where x2+y2 will be greater than 1)   total outcomes = 4   therefore probability = (4-pi)/4   3. E=1-pi/4
Answer: C
A charity collected $1,299 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have? Choose the most appropriate option:	A) 60	B) 64	C) 66	D) 68	E) 69

Solution: Min fund = 20   Total = 1299   The closest multiple of 20 to 1299 is : 63   Which implies 63 people gave 20 and 1 person gave 39   Ans. 64
Answer: B
A 13% stock yields 8%.The market value of the stock is : Choose the correct choice from the following options:
A) Rs. 72	B) Rs. 92	C) Rs. 162.50	D) Rs. 116.50	E) None of these

Solution: solution   To obtain Rs. 8, investment = Rs. 100.   To obtain Rs. 13, investment = Rs.(100/8X13)= Rs. 162.50   ∴ Market value of Rs. 100 stock = Rs.162.50   Answer Rs. 162.50
Answer: C
In what ratio must tea of Rs.42 per kg be mixed with tea of Rs.50 per kg so that cost of mixture is Rs.45 per kg? Choose one
A) 5:3
B) 3:5
C) 2:3
D) 3:4
E) 1:2

Solution: 50-45:45-42=5:3   5:3NSWER:5:3
Answer: A
The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?  Choose the correct choice from the following:
A) s. 25.6 B) s. 70/3 C) s. 16.6 D) s. 26/3 E) s. 25

Solution: Total members in the group = 7   Average amount = Rs. 30   Total amount with them = 7 * 30 = Rs. 210   One number has Rs. 70. So, the amount with remaining 6 people = 210 - 70 = Rs. 140   The average amount with them = 140/6 = Rs. 70/3   ANSWER:s. 70/3
Answer: B
The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 60% more than the price of the other, what is the price of each of these two oranges?	Choose the correct option:
A) Rs 5, Rs 7.50  B) Rs 8, Rs 12  C) Rs 10, Rs 16  D) Rs 12, Rs 14  E) None of these

Solution: Explanation :   Total price of the two oranges = Rs. [(12 x 10) (11.75 x 8)]   = Rs. (120 - 94) = Rs. 26.   Let the price of one orange be Rs. x.   Then, the price of other orange = Rs. (x + 60% of x) = Rs. x + 3/5x = Rs. 8x/5   So, x + 8x/5 = 26   13x = 130   x = 10.   The prices of the two oranges are Rs. 10 and Rs. 16   Answer : Rs 10, Rs 16
Answer: C
A man can row with a speed of 20 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?	Choose the correct choice from the following: A) 29 B) 378 C) 20 D) 30 E) 121

Solution: M = 20   S = 10   30S = 20 + 10= 
20 + 10 = 30
30   Answer: 30
Answer: D
The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?	Choose the correct choice from the following answers
A) 120 B) 298 C) 272 D) 827 E) 278

Solution: 4*5*6= 
4*5*6 = 120
120   120nswer:120
Answer: A
Pipe A can fill a tank in 2 hours, pipe B in 4 hours and pipe C in 4 hours. If all the pipes are open, in how many hours will the tank be filled? Choose the correct choice from the following choices: A) 2 B) 1 C) 3 D) 4 E) 5

Solution: Answer:	Part filled by A + B + C in 1 hour = 1/2 + 1/4 + 1/4= 
1/2 + 1/4 + 1/4 = 1
1/1   All the three pipes together will fill the tank in 1 hours.   Answer: 1
Answer: B
If a person walks at 10 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is? Choose the correct choice from the following: A) 50 km B) 76 km C) 20 km D) 16 km E) 97 km

Solution: Let the actual distance traveled be x km. Then,   x/5 = (x + 20)/10   5x - 100 =>x = 20 km.   Answer: 20 km
Answer: C