divelab/Sys2Bench huggingface dataset:
Question: How many pieces of 85 cm length can be cut from a rod of 34 meters long?
Options:
A)50
B)40
C)30
D)20
E)10
Rationale: Number of pieces = 3400/85 = 40
The answer is B.
Answer: B
Question: Reema took a loan of Rs 800 with simple interest for as many years as the rate of interest. If she paid Rs. 632 as interest at the end of the loan period, what was the rate of interest.
Options:
A)8.62%
B)8.88%
C)8.32%
D)8%
E)9%
Rationale: Explanation:
Let rate = R% then Time = R years.
=>800∗R∗R /100=632
=>R2=79
=>R=8.88%
Option B
Answer: B
Question: In the youth summer village there are 175 people, 100 of them are not working,75 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Options:
A)70
B)75
C)85
D)80
E)100
Rationale: total =175
not working =100
having family=75
like to sing in shower = 125
working=175-100=75
not having family = 175-75=100
like to sing in shower = 100
largest possible number is the lowest possible among the above
Thus 75
B
Answer: B
Question: By selling 18 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 35%?
Options:
A)11
B)13
C)15
D)18
E)12
Rationale: 90% --- 18135% --- ?90/135 * 18 = 12Answer: E
Answer: E
Question: If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?
Options:
A)25%
B)28%
C)29%
D)50%
E)55%
Rationale: cp=1*12=12
sp=1.2*15=18
gain=sp-cp=6
gain%=(6/12)*100=50%
ANSWER:D
Answer: D
Question: A gardener sells 100 metres of fencing for Rs. 7500 at a loss of Rs. 3 per metre. Find his cost price for one metre of fencing?
Options:
A)54
B)67
C)62
D)78
E)72
Rationale: SP per metre = 7500/100 = Rs. 75 Loss per metre = Rs. 3 CP per metre = 75 + 3= Rs. 78Answer: D
Answer: D
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. What is the length of the garden?
Options:
A)30 m
B)28 m
C)26 m
D)24 m
E)22 m
Rationale: Explanation :
Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length
Also, 1 meter is left from all sides of the boundary of the garden.
Hence, length of the garden = (11 × 2) + 1 + 1 = 24 meter
Answer :D
Answer: D
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Options:
A)281
B)284
C)288
D)255
E)122
Rationale: Area of a parallelogram = base * height
= 24 * 16
= 384 cm2
Answer: B
Answer: B
Question: If 45% of z is 39% of y and y is 75% of x, what percent of x is z?
Options:
A)200
B)160
C)100
D)65
E)50
Rationale: (45/100)z = (39/100)y
and y = (75/100)x i.e. y = (3/4)x
i.e. (45/100)z = (39/100)*(3/4)x
i.e. z = (39*3)x/(45*4)
i.e. z = (0.65)x = (65/100)x
i.e. z is 65% of x
Answer: Option D
Answer: D
Question: A fort had provision of food for 150 men for 45 days. After 15 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Options:
A)29	1/5
B)37	1/4
C)42
D)54
E)36
Rationale: we have food for 150 men for 45 days.
After 15 days food left for 150 men for 30 days.
so
150 : 30
now we have 125 men and x days
125 : 150 :: 30 : x
x = (150*30)/125 = 36 days.
ANSWER:E
Answer: E
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Options:
A)1.9
B)1.5
C)1.7
D)1.4
E)1.1
Rationale: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
Answer:B
Answer: B
Question: A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Options:
A)54
B)76
C)87
D)80
E)82
Rationale: Given M + P + C = 80 * 3 = 240 --- (1)
M + P = 90 * 2 = 180 --- (2)
P + C = 70 * 2 = 140 --- (3)
Where M, P and C are marks obtained by the student in Mathematics, Physics and Chemistry.
P = (2) + (3) - (1) = 180 + 140 - 240 = 80
Answer: D
Answer: D
Question: One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.023 per millisecond of computer time, and $5.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
Options:
A) $7.15
B) $8.87
C) $28.96
D) $35.57
E) $40.92
Rationale: Operating system overhead for 1 run = 1.07 $
Mounting of data tape = 5.35$
Cost per 1 millisecond of computer time = .023 $
Total cost of 1 run of a program that requires 1.5 seconds of computer time
= 1.07 + (.023*1500) + 5.35
=1.07 + 34.5 + 5.35
= 40.92$
Answer E
Answer: E
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Options:
A)28 sec
B)19 sec
C)48 sec
D)18 sec
E)38 sec
Rationale: Relative speed = 45 + 30 = 75 km/hr.
75 * 5/18 = 125/6 m/sec.
Distance covered = 500 + 500 = 1000 m.
Required time = 1000 * 6/125
= 48 sec.
Answer: C
Answer: C
Question: 36 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
Options:
A)5
B)6
C)7
D)8
E)10
Rationale: Total people = number of men + number of women
36 = 4 + number of married men + 22
number of married men = 36 - 22-4 = 10 men
ANSWER:E
Answer: E
Question: In a stack of cards, 8 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 1/2. What is the number of cards in the stack?
Options:
A)10
B)11
C)12
D)15
E)18
Rationale: This question can be solved by TESTing THE ANSWERS.
We're told that we have 9 blue cards and an unknown number of red cards. We're also told that if 2 cards are to be chosen at random from the stack WITHOUT replacement, then the probability that the cards chosen will BOTH be BLUE is 1/2. We're asked for the TOTAL number of cards.
Normally, when TESTing THE ANSWERS, we should start with either B or D. Answer B looks easier, so let's start there.
Answer B: 11 total cards
With 11 total cards, and 8 blue cards, the probability of pulling two blue cards is...
(8/11)(7/10) = 56/110~0.509
Since 1/2 = 0.5, this is clearly the answer.
B
Answer: B
Question: Machine P and Machine Q are each used to manufacture 770 sprockets. It takes Machine P 10 hours longer to produce 770 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Options:
A)3
B)5
C)7
D)9
E)11
Rationale: P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
770/x = 770/1.1x + 10
1.1(770) = 770 + 11x
11x = 77
x = 7
The answer is C.
Answer: C
Question: In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 90%, what was the average score for the entire class?
Options:
A)65%
B)67%
C)69%
D)72%
E)75%
Rationale: 70% of the class scored 60% and 30% of the class scored 90%.
The difference between 60% and 90% is 30%.
The average will be 60% + 0.3(30%) = 69%.
The answer is C.
Answer: C
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Options:
A)10
B)12
C)15
D)18
E)20
Rationale: Explanation:
Let the quantity of alcohol and water be 4x litres and 3x litres respectively
4x/(3x+5) = 4/5
20x = 4(3x+5)
8x = 20
x = 2.5
Quantity of alcohol = (4 x 2.5) litres = 10 litres.
Answer: A
Answer: A
Question: A man spends 10% of his income on food and 80% of the remaining income on clothing. If he still has a balance of Rs. 180. what is his total income?
Options:
A)1100
B)1000
C)804
D)934
E)230
Rationale: Total Income = 180 x 100100âˆ’10Ã—100100âˆ’80
= 180 x 10090Ã—10020 = Rs. 1000
correct answer - B
Answer: B
Question: An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Options:
A)12
B)19
C)60
D)180
E)720
Rationale: 5C1 * 4C1 * 3C1 = 5*4*3 = 60.
Answer: C
Answer: C
Question: If x is an even integer, which of the following is an odd integer?
Options:
A)3x + 2
B)7x
C)8x +5
D)x^2
E)x^3
Rationale: Soln:-
A) 3x + 2
3*Even +2
= Even +Even = Even
(B) 7x
7*Even= Even
(C) 8x +5
8*Even +5
= Even +5
= Odd
(D) x^2
= Even * Even = Even
(E) x^3
= Even *Even * Even
= Even
Answer C
Answer: C
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 24 times, A has killed:
Options:
A)27 birds
B)72 birds
C)30 birds
D)80 birds
E)20 birds
Rationale: Let the total number of shots be x. Then,
Shots fired by A =(5/8)x
Shots fired by B =(3/8)x
Killing shots by A =(1/3)of	(5/8)x=(5/24)x
Shots missed by B =(1/2) of (3/8)x	=(3/16)x
3x/16= 27 or x =(24 x 16)/3= 128.
Birds killed by A =(5x/24)	=(5/24*128)= 27.
Answer is A
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Options:
A)10
B)15
C)18
D)36
E)72
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
2x =(120+120)/12
2x = 20
x = 10.
Speed of each train = 10 m/sec = 10x18/5=36 km/hr
answer :D
Answer: D
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
Options:
A)12
B)19
C)72
D)180
E)720
Rationale: 4C3 * 4C2 * 3C2 = 4*6*3 = 72.
Answer: C
Answer: C
Question: A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
Options:
A)4 hours 95 minutes
B)4 hours 49 minutes
C)4 hours 45 minutes
D)4 hours 75 minutes
E)7 hours 45 minutes
Rationale: Explanation:
Time taken in walking both ways = 7 hours 45 minutes --------(i)
Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)
By equation (ii)*2 -(i), we have
Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes
= 4 hours 45 minutes
Answer: C) 4 hours 45 minutes
Answer: C
Question: In the formula V = 1/(5r)^2, if r is halved, then V is multiplied by
Options:
A)64
B)8
C)1
D)1/8
E)4
Rationale: Say r=2 => V1 = 1/100
when r=1; V2 = 1/25
V2 = 4*V1.
Answer=E=4
Answer: E
Question: The mean of set Y does not exceed mean of any subset of set Y. Which of the following must be true about set Y?
I. Set Y contains only one element
II. All elements in set Y are equal
III. The median of set Y equals the mean of set Y
Options:
A)of the three qualities is necessary
B)II only
C)III only
D)II and III only
E)I, II, and III
Rationale: The only necessary condition seems to be II.
If all nos are equal.... them mean of any subset is the same.
I is obviously ruled out ( e.g. Y = {1,1,1} )
But III, what about 3?
It is not necessary in itself, rather, is automatically implied by II.
All sets that satsify II satisfy III=D
Answer: D
Question: 2, 1, (1/2), (1/4), ?
Options:
A)1/3
B)1/9
C)1/5
D)1/8
E)1/4
Rationale: D
1/8
This is a simple division series; each number is one-half of the previous number.
Answer: D
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Options:
A)22
B)29
C)20
D)11
E)13
Rationale: 1/x + 1/(x + 10) = 1/12
x = 20
«1234.Answer:C
Answer: C
Question: The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be :-
Options:
A)101 : 88
B)87 : 100
C)110 : 111
D)85 : 98
E)97 : 84
Rationale: Explanation :
Going through the given options,
option 1 :- 101 : 88 = > 189 . [ Divisible by 3 ]
option 2 :- 87 : 100 => 187 . [ Divisible by 11 ]
option 3 :- 85 : 98 => 183 . [ Divisible by 3 ]
option 4 :- 97: 84 = > 181 . [ Prime number ]
Hence, only 181 is the prime number i.e the total number of employee in the company and the required ratio is 97 : 84.
Answer : E
Answer: E
Question: Each child has 2 pencils and 13 Skittles. If there are 6 children, how many pencils are there in total?
Options:
A)16
B)12
C)18
D)22
E)08
Rationale: 2*6=12.Answer is B.
Answer: B
Question: An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is?
Options:
A)300
B)400
C)500
D)600
E)700
Rationale: 130
14
-------
361------ 144
100%------? => 400
ANSWER:B
Answer: B
Question: Marts income is 60 percent more than Tims income and Tims income is 60 percent less than Juans income. What percentage of Juans income is Marts income
Options:
A)124%
B)b) 64 %
C)c) 96 %
D)d) 80 %
E)e) 64 %
Rationale: M = (160/100)T
T = (40/100)J
=> M = (64/100)J
Answer B.
Answer: B
Question: What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?
Options:
A)1
B)2
C)4
D)7
E)9
Rationale: 2/9= 0.22222.... ==> 99th digit is 2
3/11 = 0.27272727.... ==> Every odd digit is 2. So, 99th digit will be 2.
2 +2 = 4
ANSWER:C
Answer: C
Question: If A is an even integer and q is an odd integer, which of the following must be an odd integer?
Options:
A)A/q
B)Aq
C)2A+q
D)2(A+q)
E)3A/q
Rationale: this is a must question:
A. A/q
can be a non-integer
B. Aq
always even
C. 2A+q
2A = even -> even+odd = odd
D. 2(A+q)
always even - A+q = odd *2 -> even
E. 3A/q
might be a non integer.
C
Answer: C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Options:
A)16
B)18
C)20
D)24
E)29
Rationale: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways
4: Or 4p = — 4:- 4X3X2X1- 24 ways
D
Answer: D
Question: The time it took car P to travel 900 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
Options:
A)40
B)54
C)62
D)70
E)80
Rationale: Let speed of car R be=x
Then speed of car P= x+10
A/Q,
(900/x)-(900/(x+10))=2
Solving for x=62 miles\hr.
C
Answer: C
Question: If a truck is traveling at a constant rate of 216 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
Options:
A)10
B)24
C)30
D)36
E)48
Rationale: Speed = 216 Km/hr => 216,000 m/hr
In one minute => 216000/60 = 3600 meters
In one sec => 3600/60 = 60 meters
Time = Total distance need to be covered / Avg. speed
=> 600/ 60 = 10 and hence the Answer : A
Answer: A
Question: A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is
Options:
A)22030
B)220030
C)23030
D)24030
E)25030
Rationale: Explanation:
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
Answer: Option B
Answer: B
Question: In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-two students are registered for Math, and thirty-five students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Options:
A)13
B)10
C)9
D)8
E)7
Rationale: A U B U C = A + B + C - AB-BC-AC + ABC
68 = 25 + 22+ 35 -AB-BC-AC +3 => AB+BC+AC = 17
Exactly Two classes = AB+BC+AC - 3ABC = 17 -3*3 = 8
Hence D
Answer: D
Question: Sum of the squares of three numbers is 579 and the sum of their products taken two at a time is 131. Find the sum?
Options:
A)20
B)22
C)25
D)29
E)28
Rationale: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 579 + 2* 131
a + b + c = √841 = 29
D
Answer: D
Question: If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area?
Options:
A)480 cm2
B)765 cm2
C)216 cm2
D)197 cm2
E)275 cm2
Rationale: The triangle with sides 52 cm, 48 cm and 20 cm is right angled, where the hypotenuse is 52 cm.
Area of the triangle
= 1/2 * 48 * 20
= 480 cm2
Answer: A
Answer: A
Question: If a and b are integer numbers which is greater then one, which of the following CANNOT be the value of ab?
Options:
A)9
B)14
C)21
D)23
E)25
Rationale: 23 is a prime number itself and so cannot be multiple of two prime numbers which is greater then one..
ans D
Answer: D
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Options:
A)2 hours
B)3 hours
C)4 hours
D)5 hours
E)6 hours
Rationale: Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time taken to travel 68 km downstream =68/17hrs = 4 hrs
Answer: Option C
Answer: C
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
Options:
A)No profit, no loss
B)5%
C)8%
D)40%
E)None of these
Rationale: Explanation :
C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.
S.P. of 56 kg rice = (56 * 40) Rs. = 2240 Rs.
Profit % = (2240−1600/1600∗100)% = 40%
Answer : D
Answer: D
Question: Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies?
Options:
A)36
B)64
C)54
D)55
E)60
Rationale: T = R
T - 24 ;R + 24
R + 24 = 4 ( T - 24 )
R + 24 =4T - 96
R - 4T = - 120
We knowR = T, so
R - 4T = - 120
Or, R - 4R = -120
Or, - 3R = - 120
Or, R = 40( This is the initital no of Candies Rebecca had)
Candles now she possesses is 40 + 24 = 64
So , Rebecca now has 64 candies.
Answer will be (B) 64
Answer: B
Question: An engine moves at the speed of 90 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 78 kmph.What will be the speed of train when 16 coaches are attached.
Options:
A)66
B)72
C)80
D)68
E)73
Rationale: 1.
No. of coaches =4
sqr root=2
speed decreases by 12
12=k*2
k=6
No. of coaches=16
swr root=4
decrease=4*6=24
New speed=90-24=66
A
Answer: A
Question: For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *8 + 3 and *8 + 8, inclusive?
Options:
A) None
B) One
C) Two
D) Three
E) Four
Rationale: Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *8 would be divisible by all numbers from 1 to 8.
=> *8+3 would give me a number which is a multiple of 3 and therefore divisible (since *8 is divisible by 3)
In fact adding anyprimenumber between 1 to 8 to *8 will definitely be divisible.
So the answer is none (A)!
Supposing if the question had asked for prime numbers between *8 + 3 and *8 + 11 then the answer would be 1. For *8+3 and *8 + 13, it is 2 and so on...
A
Answer: A
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Options:
A)Rs. 19
B)Rs. 15
C)Rs. 11
D)Rs. 13
E)Rs. 01
Rationale: Explanation:
CP of 20 dozen of bananas = 15 * 20 = Rs. 300
Number of bananas which are rotten = 1/4 * 20 = 5 dozen.
SP of two-third of remaining bananas = (2/3 * 15) * 22.5 = Rs. 225
SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs. 75.
SP of 1 dozen bananas = 75/5 = Rs. 15.
Answer:B
Answer: B
Question: 3 boys and 7 girls can complete a work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
Options:
A)20 days
B)30 days
C)40 days
D)50 days
E)60 days
Rationale: Work done by 4 boys and 6 girls in 1 day = 1/8
Work done by 3 boys and 7 girls in 1 day = 1/10
Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as
4m + 6w = 1/8 ---(1)
3m + 7w = 1/10 ---(2)
Solving equation (1) and (2) , we get m=11/400 and w=1/400
Amount of work 10 girls can do in a day = 10 × (1/400) = 1/40
Ie, 10 girls can complete the work in 40 days
C
Answer: C
Question: if C is a whole number , C+1 is whole number after that. if A is whole number, what is whole number before that
Options:
A)1 whole number
B)-1, not a whole number
C)0 whole number
D)-A whole number
E)none
Rationale: natural numbers are 0,1,2,3,4,5,...... are called whole numbers. if A is a whole number and it is greater than 0 the the whole number before that is A-1 which will always be a whole number. which means 0-1= -1, which is not whole number. correct answer (B)
Answer: B
Question: How many three digit numbers Z greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Options:
A)72
B)48
C)120
D)96
E)76
Rationale: Find the number of 3 digit numbers greater than 300, and then subtract from them the number of three digit numbers between 300 and 330 formed with the given 6 digits.
ABC three digit numbers greater than 300 - total of 4*5*4=80, because a must be greater than 2, so 4 possibilities left; B 5 remaining, and C 4 remaining possibilities to choose from.
Between 300 and 330 there are 1*2*4=8 numbers with the given property: A = 3, 1 possibility; B can be only 1 or 2 (ABC < 330), so two possibilities; C the remaining 4 possibilities after choosing A and B.
Total possible choice 80 - 8 =72=Z
Answer: A.
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Options:
A)10 days
B)20 days
C)5 days
D)4 days
E)3 days
Rationale: Explanation:
C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days
Answer: Option B
Answer: B
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age seven years back was?
Options:
A)10 years
B)12 years
C)14 years
D)16 years
E)18 years
Rationale: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 7) = 12 years.
B
Answer: B
Question: A batsman makes a score of 200 runs in the 17th inning and thus increases his averages by 10 What is his average after 17th inning?
Options:
A)39
B)35
C)42
D)40
E)41.5
Rationale: let the average after 16th inning =x
then total run after 16th inning=16x
then total run after 17th inning=16x+200
then average run after 17th inning=(16x+200)/17
(16x+200)/17=x+10 = > 16x+200 = 17x+170
x=30;
average after 17th inning =30+10=40
ANSWER:D
Answer: D
Question: Of 30 applicants for a job, 9 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Options:
A)14
B)10
C)9
D)7
E)5
Rationale: B. 10
30 - 3 = 27
27 - 9 - 18 = -10
Then 5 are in the intersection between 4 years experience and degree.
Answer B
Answer: B