divelab/Sys2Bench huggingface dataset:
Question: A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 3.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Options:
A)24,00,000
B)25,00,000
C)28,50,000
D)29,50,000
E)29,70,000
Rationale: Let's assume in 2006 the manufacturer sold X.
In 2007 he sold X-5/100(X)
If sales in 2006,X= 3.0 million find X-5/100(X)
(3.0 x 10^6)-5/100(3.0 x 10^6)
3000000-1,50,000=28,50,000-----> 28,50,000(approx)
Answer-C
Answer: C
Question: What is the probability of flipping a fair coin five times and the coin landing on heads on at least two flips?
Options:
A)5/8
B)7/8
C)11/16
D)13/16
E)27/32
Rationale: The number of possible outcomes is 2^5=32.
0 heads: There is 1 way to have all tails.
1 head: There are 5 ways to have one head.
P(0 or 1 head)=6/32=3/16
P(at least 2 heads)=1 - 3/16 = 13/16
The answer is D.
Answer: D
Question: The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
Options:
A)234
B)127
C)274
D)918
E)121
Rationale: Required number = H.C.F. of (1657 - 6) and (2037 - 5)
= H.C.F. of 1651 and 2032 = 127.
Answer:B
Answer: B
Question: A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 8 hours longer than the first half, how many hours did it take the runner to run the second half?
Options:
A)10
B)12
C)16
D)20
E)24
Rationale: The runner runs the first 20 miles at speed v and the second 20 miles at speed v/2.
The time T2 to run the second half must be twice the time T1 to run the first half.
T2 = 2*T1 = T1+8
T1 = 8 and so T2 = 16.
The answer is C.
Answer: C
Question: How many multiples of 5 are there between 5 to 105?
Options:
A)9
B)18
C)17
D)none of these
E)19
Rationale: Explanation :
As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the units place).
So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.
Answer : E
Answer: E
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 12days, A finished the remaining work. In how many days A alone can finish the job?
Options:
A)10
B)25
C)60
D)16
E)20
Rationale: A+B 10days work = 10*1/40 = 1/4
Remaining work = 1-1/4 = 3/4
3/4 work is done by A in 12 days
whole work will be done by A in 12*4/3 = 16days
Answer is D
Answer: D
Question: If 60% of 3/5 of a number is 36, then the number is?
Options:
A)80
B)100
C)75
D)90
E)None of these
Rationale: Let the number be x. Then 60% of 3/5 of x=36
60/100*3/5*x=36
x=(36*25/9)=100
Required number=100.
Correct Option: B
Answer: B
Question: A man can do a piece of work in 15 days, but with the help of his son, he can do it in 6 days. In what time can the son do it alone?
Options:
A)13
B)9
C)15
D)8
E)10
Rationale: Son's 1day's work = (1/6)-(1/15) = 3/30= 1/10
The son alone can do the work in 10 days
Answer is E
Answer: E
Question: What is the probability Q of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
Options:
A)1/13
B)1/20
C)1/26
D)1/50
E)1/100
Rationale: Why do you calculate the total combinations and everything, it is much easier to calculate as follows:
3/13 * 1 * 1 * 1 * 1 ..... * 2/12 = 6/156 = 1/26
This is because 3/13 = Probability that first letter will be E and 2/12 = probability that thefirstletter will be R. Between everything else cuts down to 1*1*1... e.g. probability Q of the second letter is 11/11 = 1, > we do not care what's in between.C
Answer: C
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Options:
A)8
B)10
C)11
D)13
E)14
Rationale: Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = 13
D
Answer: D
Question: Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?
Options:
A)C + 6 < S − 2
B)C + 6 ≤ S + 2
C). C + 6 = S − 2
D)C + 6 > S − 2
E)C + 6 ≥ S − 2
Rationale: Now: Charles = C, Sarah = S
in 6Y: C+6≥S−2,
Answer E
Answer: E
Question: Real-estate salesman Z is selling a house at a 30 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 15 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 40 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Options:
A)39/6
B)62/11
C)11/61
D)21/61
E)20/61
Rationale: Let the retail price be = x
Selling price of Z = 0.7x
Selling price of X = 0.85*0.7x = 0.60x
Selling price of Y = ((0.7x + 0.6x)/2)*0.60 = 0.65x * 0.60 = 0.39x
0.39x = k * 0.60x
k = 0.39/0.6 = 39/6
Answer: A
Answer: A
Question: A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 8, what is the smallest possible total number of tokens in the jar?
Options:
A) 9
B) 12
C) 15
D) 18
E) 21
Rationale: (Red / Total Coins)*(White / Total Coins) = (Blue / Total Coins)
í.ẹ. Red*White = Blue*Total Coins
Let, Red = 3a
White = 3b
Blue = 3c
Total Coins = 3(a+b+c)
í.ẹ. 3a * 3b = 3c*3(a+b+c)
í.ẹ. a*b = c*(a+b+c)
For smallest values of a, b and c
2*3 = 1*(1+2+3)
í.ẹ. Minimum Total Coins = 3*(1+2+3) = 15
Answer: Option C
Answer: C
Question: A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel.
Options:
A)24 cm
B)14 cm
C)20 cm
D)37 cm
E)17 cm
Rationale: Volume of the liquid in the cylindrical vessel
= Volume of the conical vessel
= ((1/3)* (22/7)* 12 * 12 * 50) )cm3 = (22 *4 *12 * 50)/7 cm3.
Let the height of the liquid in the vessel be h.
Then (22/7)*10*10*h =(22*4*12*50)/7 or h = (4*12*50)/100 = 24 cm
ANSWER A 24 cm
Answer: A
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 40% water?
Options:
A)1.2 kg
B)1.5 kg
C)1.7 kg
D)1.9 kg
E)None of these
Rationale: Explanation :
Flower-nectar contains 50% of non-water part.
In honey this non-water part constitutes 60% (100-40).
Therefore 0.5 X Amount of flower-nectar = 0.60 X Amount of honey = 0.60 X 1 kg
Therefore amount of flower-nectar needed =
(0.60/0.51)kg=1.2 kgs
Answer : A
Answer: A
Question: A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
Options:
A)3.6 kg
B)3.696 kg
C)36 kg
D)36.9 kg
E)None
Rationale: Solution
External radius = 4 cm,
Internal radius = 3 cm.
Volume of iron	=(22/7×(42)-(32)×21)cm3
= (22/7×7 ×1×21)cm3
= 462 cm3.
Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg.
Answer B
Answer: B
Question: A bread merchant declares a 20% discount after 8 P.M. Each bread costs Rs.40 when it is not on sale. Sam goes before 8 P.M. to buy 4 pieces of bread. Max goes after 8 P.M. with the same amount of money that Sam had to buy bread. How many pieces did Max get over Sam?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Explanation:
Sam: 4 pieces * 40 = 160
Max: Max had 160. 160 / (40*(1-20%)) = 160 / (40*0.80) = 160 / 32 = 5 pieces
Max - Sam = 5 - 4 = 1
Correct Option: A
Answer: A
Question: A courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 12 cm by 6 cm. The total number of bricks required is :
Options:
A)16000
B)18000
C)20000
D)30000
E)None of these
Rationale: Explanation:
Number of bricks =Courtyard area /1 brick area
=(1800Ã—1200 /12Ã—6)=30000
Option D
Answer: D
Question: The cube root of .000216 is:
Options:
A).6
B).06
C)77
D)87
E)89
Rationale: Explanation:
(.000216)1/3	= [216/(10)6	]	1/3 = 6/100 =0.06
ANSWER IS B
Answer: B
Question: Find k if 64 / k = 4.
Options:
A)16
B)17
C)18
D)14
E)13
Rationale: Since 64 /k = 4 and 64/ 16 = 4, then
k = 16 correct answer A
Answer: A
Question: A train 120 meter long passes an electric pole in 12 seconds and another train of same length traveling in opposite direction in 8 seconds. The speed of the second train is
Options:
A)10m/s
B)20m/s
C)30m/s
D)40m/s
E)50m/s
Rationale: speed of 1st train=120/12=10m/s
let the speed of 2nd is v
then
240/(v+10)=8
8v=160
v=20m/s
ANSWER:B
Answer: B
Question: 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?
Options:
A)378
B)240
C)772
D)281
E)213
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train
= (15 x 20)m
= 300 m. Let the length of the platform be x meters. Then, (x + 300)/36
= 15 ==> x + 300 = 540
==> x
= 240 m.
Answer: B
Answer: B
Question: How many words with or without meaning, can be formed by using all the letters of the word, ‘ORANGE’, using each letter exactly once?
Options:
A)700
B)720
C)750
D)800
E)820
Rationale: The word ‘ORANGE’ contains 6 different letters.
Therefore, Required number of words= Number of arrangement of 6 letters, taken all at a time
=6P6
= 6!
= 6*5*4*3*2*1
= 720
ANSWER:B
Answer: B
Question: The average age of three boys is 12 years and their ages are in the proportion 2 : 6 : 8. The age of the youngest boy is:
Options:
A)21 years
B)8.75 years
C)6.75 years
D)9 years
E)None of these
Rationale: Total age of 3 boys = (12 Ã— 3) years = 36 years. Ratio of their ages = 2 : 6 : 8.
Age of the youngest = (36 Ã— 3â„16) years = 6.75 years.
Answer C
Answer: C
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for R to be in the position where T is now shown. The number of degrees through which RSTU is rotated is
Options:
A) 135 degree
B) 180 degree
C) 225 degree
D) 270 degree
E) 315 degree
Rationale: From the options, I am assuming the positioning of T and R relative to each other to be as shown. To replace T by R, focus on OR. Say, you rotate OR clockwise (and with it the entire square) and bring it in place of OT. How many degrees did you go? You covered 2 right angles i.e. 180 degrees.
Answer : B
Answer: B
Question: Set M contains number that satisfy the condition that, if integer x is in the set then x + 6 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -10 II) 2 III) 8
Options:
A)I only
B)II only
C)I and II only
D)II and III only
E)I, II and III
Rationale: Since -4 is in the set, then the set must also include 2, 8, 14, 20, etc...
Depending on whether -4 is the starting element in the set or not, we can have -10...or not.
The answer is D.
Answer: D
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Options:
A)6
B)5
C)7
D)9
E)2
Rationale: 1/10 + 1/15 - 1/x
= 1/18
x = 9
Answer:D
Answer: D
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Options:
A)2:9
B)2:7
C)1:6
D)1:4
E)1:1
Rationale: Ratio of A / Ratio of B = (Average Wt of Mixture - Wt of B)/(Wt of A - Average Wt of Mixture)
=> Ratio of A / Ratio of B = (6 - 2)/(10 - 6) =4/4
So they should be mixed in the ratio 1:1
Answer - E
Answer: E
Question: Every day a cyclist meets a car at the station.The road is straight and both are travelling in the same direction. The cyclist travels with a speed of 12 mph.One day the cyclist comes late by 20 min. and meets the car 5miles before the Station. What is the speed of the car?
Options:
A)40 Kmph.
B)50 Kmph.
C)60 Kmph.
D)70 Kmph.
E)80 Kmph.
Rationale: If they normally meet at 8AM, then
cyclist will reach at station on that day at 8:20 AM. But train will reach station at 8AM only.
and he will be at at point 5 miles before station at 7.55 AM ( i.e 25 min before 8:20 AM)
so train will take 5 mins to travel( to reach stn at 8AM) 5 miles.
so speed of train = 60 Kmph.
ANSWER:C
Answer: C
Question: What is the sum of all remainders obtained when the first 130 natural numbers are divided by 9?
Options:
A)397
B)401
C)403
D)412
E)399
Rationale: A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0.
1 divided by 9 gives the remainder of 1;
2 divided by 9 gives the remainder of 2;
...
8 divided by 9 gives the remainder of 8;
9 divided by 9 gives the remainder of 0.
We'll have 11 such blocks, since 99/9=11. The last will be:
91 divided by 9 gives the remainder of 1;
92 divided by 9 gives the remainder of 2;
...
98 divided by 9 gives the remainder of 8;
99 divided by 9 gives the remainder of 0.
The last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be:
11(1+2+3+4+5+6+7+8+0)+1=412.
Answer: D.
Answer: D
Question: A merchant marks his wares 40% more than the real price and allows 20% discount. His profit is:
Options:
A)20%
B)18%
C)16%
D)12%
E)None of these
Rationale: Let the CP = 100 Rs.
Mark Price = 140
Discount = 20%
Selling price 80/100 × 140
Hence profit = 12%
Answer: D.
Answer: D
Question: (161)^2 - (162)^2 =
Options:
A)1
B)100
C)229
D)325
E)349
Rationale: Using the formula:
(a+1)^2 - a^2 = 2a+1
So, Answer = 162*2 + 1
= 324+1 = 325 = Answer = D
Answer: D
Question: The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is?
Options:
A)30/7
B)30/9
C)30/2
D)30/3
E)30/6
Rationale: Required fraction = L.C.M of 6/7, 5/14, 10/21
= (L.C.M of 6, 5, 10) / (H.C.F of 7, 14, 21) = 30/7
Answer:A
Answer: A
Question: Rhoda tosses a coin 5 times. Find the probability of getting exactly 4 heads.
Options:
A)5/32
B)6/32
C)5/16
D)4/32
E)8/32
Rationale: Exactly 4 heads out of 5 would be: HHHHT, HHTHH, or many other combinations.
therefore, no. of possible combinations are 5!/4!*1! = 5
Probability = 5/2^5 = 5/32
ANSWER:A
Answer: A
Question: A trader sold two items for Rs.2500 each, if he made a profit of 28% from the first item and a loss of 20% from the second item, calculate his total gain or loss.
Options:
A)2.6
B)12.6
C)3.6
D)7.6
E)5.6
Rationale: (28*20)/100 = 5.6%
Answer: E
Answer: E
Question: While working alone at their constant rates, computer X can process 240 files in 4 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
Options:
A)2
B)2.2
C)2.4
D)2.6
E)2.8
Rationale: Both computers together process files at a rate of 240/4 + 240/6 = 60+40 = 100 files per hour.
The time required to process 240 files is 240/100 = 2.4 hours
The answer is C.
Answer: C
Question: A sum of Rs. 1530 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
Options:
A)Rs. 120
B)Rs. 160
C)Rs. 270
D)Rs. 300
E)None
Rationale: EXPLANATION
Let C’s share = Rs. x
Then, B’s share = Rs. x/4 , A’s share = Rs. (2/3 x x/4 ) = Rs. x/6
=x/6 + x/4 + x = 1530
=> 17x/12 = 1530
=> 1530 x 12/ 17 = Rs.1080
Hence, B’s share = Rs. (1080/4) = Rs. 270.
Answer C
Answer: C
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 55 with him, what was the average amount with the group before his joining the group?
Options:
A)s. 25.6
B)s. 155/6
C)s. 16.6
D)s. 260/6
E)s. 25
Rationale: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 55. So, the amount with remaining 6 people = 210 - 55= Rs. 155
The average amount with them = 155/6
ANSWER:B
Answer: B
Question: Three of the sides of a rectangular prism have areas of 91, 39, and 21. What is the volume of the rectangular prism?
Options:
A)252
B)269
C)273
D)920
E)1911
Rationale: One easy way to get the answer for this question is just multiply the unit's digits of these three numbers, i.e (1*9*1 = 9) (Why the multiplication is needed?, you can see the solution suggested by Bunuel in the above post)
Now look out for the answer whose square gives us a 9 in the unit place.
So, it is easy to pic (C) 273 whose square will give us a 9 in the unit place( 3*3), and hence this is the answer.
Answer: C
Question: If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability E that this product will be a multiple of 45?
Options:
A)1/32
B)1/28
C)1/24
D)1/16
E)1/14
Rationale: There are 3 single digit multiple of 3, that is, 3,6,9.
There are 8 prime nos less than 20 - 2,3,5,7,11,13,17,19
Total outcome - 8*3 = 24
Favourable outcome = 1 (9*5)
Hence required probability E= 1/24. Answer C.
Answer: C
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:00 a.m., how long will the conference last if there are a total of 6 seminars that day?
Options:
A)hours and 15 minutes
B)hours and 20 minutes
C)hours and 25 minutes
D)hours and 30 minutes
E)hours and 35 minutes
Rationale: Well its like this S B S B S B S B S B S
the interval between 9 am to 11:40 am is 160 min having 3 seminars and 2 breaks .If 1 break is of 5 min than time for 3 seminars = 160 - 2*5=150
Time of 1 seminar =150 /3=50 min .
So calculating for 6 seminars and 5 breaks ,total time comes out to be 5 hrs and 35 min .
Answer is E.
Answer: E
Question: The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?
Options:
A)35
B)37
C)46
D)48
E)50
Rationale: Sum of all the 13 results = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.
C
Answer: C
Question: What sum of money will produce Rs.60 as simple interest in 4 years at 3 1/2 percent?
Options:
A)337
B)429
C)266
D)288
E)211
Rationale: 60 = (P*4*7/2)/100
P = 429
Answer: B
Answer: B
Question: The sum of ages of 5 children born at the intervals of 3 years each is 70 years. What is the age of the youngest child?
Options:
A)3 years
B)4 years
C)6 years
D)7 years
E)8 years
Rationale: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 70
5x = 40
x = 8.
Age of the youngest child = x = 8 years.
E)
Answer: E
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Options:
A)120 sec
B)165 sec
C)186 sec
D)167 sec
E)168 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) }
= LCM (60, 40)
=120 sec.
Answer:A
Answer: A
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Options:
A)16.5
B)16.0
C)16.4
D)16.8
E)16.1
Rationale: D = 110 + 170 = 280 m
S = 60 * 5/18 = 50/3
T = 280 * 3/50 = 16.8 sec
Answer: D
Answer: D
Question: What are the last two digits of 55*34*86*47*23*51?
Options:
A)18
B)20
C)23
D)25
E)57
Rationale: 55*34*86*47*23*51=
We have to focus on the last two digits only, so 55*34=70*86=20*47=40
40*23=20 therefore 20*51=20
Hence Answer is B
Answer: B
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Options:
A)277
B)277
C)2877
D)2000
E)2711
Rationale: P(11/10)4 - P(6/5)2 = 482
P = 2000
Answer: D
Answer: D
Question: The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 40 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:
Options:
A) 0.4(0.60) + 35c
B) 0.4(0.60 + 0.32c)
C) 0.4(0.60 + 9c)
D) 0.6(0.60 + 32c)
E) 0.6(0.60 + 0.35c)
Rationale: For first three minutes = 60 cents
Remaining minutes = 35 -3 = 32
charge for 32 minutes = 32c
total cost (if the call was made in daytime) = 0.60 + 32c
40% chargereducedon night calls => 60% charge
=>0.6(0.60 + 32c)
Hence, Answer is D
Answer: D
Question: A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
Options:
A)9
B)61
C)98
D)54
E)64
Rationale: Look at the image below:
Little cubes with exactly one painted side will be those 3*3=9, which are in the center of each face. (6 faces)*(9 per each) = 54.
Answer: D.
Answer: D
Question: A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 86 then find the correct average marks up to two decimal places.
Options:
A)73.41
B)74.31
C)72.43
D)73.43
E)Cannot be determined
Rationale: Correct average = 35x72+(86-36)/35
≈ 72 + 1.43 = 73.43
Answer D
Answer: D
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Options:
A)Rs. 4991
B)Rs. 5991
C)Rs. 6991
D)Rs. 6001
E)None of these
Rationale: Explanation:
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.
Answer: A
Answer: A
Question: A machine P completes a certain amount of work in 12 hrs and machine Q completes the same work in x hrs if both machines works together to complete the same work in 8 hrs then what is x?
Options:
A)12 hrs
B)18 hrs
C)24 hrs
D)32 hrs
E)34 hrs
Rationale: Explanation:
P’s 1hr work = 1/12
Q’s 1 hr work = 1/x
(A+B)’s 1 hr work = 1/8 = 1/12+1/x
=> x = 24 hrs
Answer: Option C
Answer: C
Question: In the first 20 overs of a cricket game, the run rate was only 4.3. What should be the run rate in the remaining 30 overs to reach the target of 264 runs?
Options:
A)5.93
B)6.5
C)6.75
D)7
E)8
Rationale: Explanation :
Required run rate = (264 - (4.3 x 20))/30 = 178/30 = 5.93
Answer : A
Answer: A
Question: The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Options:
A)7
B)6
C)5
D)1
E)41
Rationale: Explanation:
(10x + y) â€“ (10y + x) = 54
x â€“ y = 6
Answer: B
Answer: B
Question: If a 7 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Options:
A)140%
B)350%
C)450%
D)600%
E)700%
Rationale: The area A of the large cube is 7*7*6 = 294 square cm.
The area of the 343 small cubes is 7*7*7*6 = 7A, an increase of 600%.
The answer is D.
Answer: D
Question: Population of a city in 2004 was 1000000. If in 2005 there is an increment of 35% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Options:
A)967532
B)977522
C)984424
D)997454
E)1272375
Rationale: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)
= P (1 + 35/100)(1 - 35/100)(1 + 45/100)
= 1272375
E
Answer: E