divelab/Sys2Bench huggingface dataset:
Question: What is the remainder when 220*165*110*55 is divided by 15?
Options:
A)12
B)15
C)10
D)11
E)18
Rationale: OA is 'C'.
OE:
take the remainder from each of 220/15, 165/15 and so on..
220/15 gives remainder = 10
165/15 gives remainder = 0
110/15 gives remainder = 5
55/15 gives remainder = 10
the net remainder is the product of above individual remainders. i.e = 10*0*5*10
break them into pairs 10*0/15 gives remainder 10
and 5*10/15 gives remainder 5
so 10*5/15 gives remainder 5.
Answer: C
Answer: C
Question: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ?
Options:
A)116 kmph
B)106 kmph
C)186 kmph
D)126 kmph
E)176 kmph
Rationale: Explanation:
As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 325 + 470 = 795 km
Thus, Total Speed = 7.5 hrs
Average Speed = 795/7.5 => 106 kmph.
Answer: B
Answer: B
Question: A cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 4hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
Options:
A)2hr
B)5hr
C)7hr
D)1hr
E)4hr
Rationale: Net part filled in 1 hour 1/2 - 1/4 = 1/4
The cistern will be filled in 4 hr
Answer is E
Answer: E
Question: In a class of 25 students in an examination in maths 3 students scored 95 marks each, 5 get zero each and the average of the rest was 45. What is the average of the whole class?
Options:
A)A)47
B)B)45.6
C)C)42
D)D)48
E)E)49
Rationale: Explanation:
Total marks obtained by a class of 25 students
= 3*95 + 5*0 + 17* 45 =1050
Average marks of whole class = 1050/25 =42
Answer: Option C
Answer: C
Question: A restaurant meal cost $100 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Options:
A) $100 and $110
B) $105 and $109
C) $109 and $116
D) $115 and $120
E) $111 and $115
Rationale: Hence it will be between 100 * (1+10/100) and 100 * (1+15/100).
i.e b/w 110 and 115. Hence the answer C (b/w 109 and 116).
Answer: C
Question: Which of the following CANNOT be the median of the 3 positive integers x, y, and z?
Options:
A)x
B)z
C)x+z
D)(x+z)/2
E)(x+z)/3
Rationale: The median of a set with odd number of terms is justa middle term, so it's x, y or z. Eliminate A and B right away. Now, the median can also be (x+z)/2 and (x+z)/3 (for example: {1, 2, 3} and {1, 2, 5}).
But since x, y, and z arepositiveintegers then it no way can be x+z. Why? Because a middle term (the median) cannot possibly be greater than two terms (x and z) in a set with 3 terms.
Answer: C.
Answer: C
Question: Which of the following points is closest to line y=x
Options:
A)(2, -1)
B)(2, 4)
C)(-1, 1)
D)(-2, -1)
E)(-2, 0)
Rationale: Attachment:
m12-20.pngAs you can see point (-2, -1) is the closest to line y=x.
Answer: D.
Answer: D
Question: A bag contains 6 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)4
B)4/3
C)4/5
D)4/9
E)5/11
Rationale: Let number of balls = (6 + 5) = 11.
Number of white balls = 5.
P (drawing a white ball) = 5/11
Hence Answer is E
Answer: E
Question: Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $80.00 on four CDs and five tapes, how much does one tape cost?
Options:
A)$5.00
B)$6.25
C)$12.00
D)$8.00
E)$100.00
Rationale: CD => C
Type => T
Carol: 4C+5T=80
Anna: 12C+5T=160
12C-4C=80
8C=80
C=10
4C+5T=80
40+5T=80
5T=40
T=8
Answer is D
Answer: D
Question: If p and w are positive integers such that p > w > 1, what is the remainder when 92p × 5p+w + 11w × 6pw is divided by 10?
Options:
A)A.0
B)B.1
C)C.3
D)D.4
E)E.5
Rationale: 92p × 5p+w + 11w × 6pw--1=B
Answer: B
Question: If the mean of numbers 28, x, 42, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
Options:
A)78
B)58
C)390
D)310
E)66
Rationale: x is common to both the series. So, x is not going to make a difference to the average.
Only the remaining 4 numbers will contribute to the difference in average between the two series.
Sum of the 4 numbers, excluding x, of the first series is 28 + 42 + 78 + 104 = 252
Sum of the 4 numbers, excluding x, of the second series is 48 + 62 + 98 + 124 = 332
The difference between the sum of the two sets of numbers = 332 - 252 = 80
The sum of the second series is 80 more than the sum of the first series.
If the sum of the second series is 80 more, the average of the second series will be 80/5 = 16 more than the first series.
Therefore, the average of the second series = 62 + 16 = 78.
Answer A
Answer: A
Question: A certain tax rate is $.42 per $100.00. What is the rate, expressed as a percent?
Options:
A).42%
B)4.2%
C)0.82%
D)0.042%
E)0.0082%
Rationale: Here in question it is asking $.42 is what percent of $ 100.Suppose $ .42 is x% of 100 means
100* (x/100) = .42
Hence x = .82 %
So answer is A
Answer: A
Question: if the ratio of two no. is 5:4.and addition of that no. is 36.then tell the bigger number.
Options:
A)15
B)20
C)18
D)12
E)24
Rationale: let the ratio constant be x,
5x+4x=36
9x=36
x=4
bigger number=20
answer B
Answer: B
Question: Of three numbers, the third is four times the second and the second is two times the first. If their average is 165, the second number of the three numbers is:
Options:
A)18
B)100
C)90
D)45
E)120
Rationale: Explanation:
Let first number be x.
So,2nd no. = 2x & 3rd no.=8x.
So,x+2x+8x=165 × 3 = 495
11x = 495/11
x = 495/11
Hence,first Number is x=45
so, second number is = 2 x 45=90
Answer: C
Answer: C
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice athe age of the son. Find the present age of the father.
Options:
A)33
B)34
C)35
D)36
E)37
Rationale: Sol. Let the son’s present age be x years. Then, father’s present age = (3x + 3) years.
Therefore (3x + 3 + 3) = 2 (x + 3) + 10
‹=› 3x + 6 = 2x + 16 ‹=› x = 10
Hence, father’s present age = (3x + 3) = (3 x 10 + 3) years
= 33 years.
Answer A
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 4 years and to Rs. 854 in 5 years. The sum is:
Options:
A)s. 650
B)s. 659
C)s. 698
D)s. 700
E)s. 720
Rationale: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 4 years = Rs.(39 x 4) = Rs. 156.
Principal = Rs. (815 - 156) = Rs. 659.
Answer: Option B
Answer: B
Question: Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Options:
A)(1/3)
B)(1/8)
C)(2/8)
D)(1/16)
E)(1/4)
Rationale: This is a simple division series; each number is one-half of the previous number.
In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.
So the next number would be Option B.
Answer: B
Question: Sachin is younger than Rahul by 4 years.If their ages are in the respective ratio of 7:9, how old is Sachin ?
Options:
A)24.5
B)29
C)31
D)26.5
E)30.5
Rationale: Let Rahul's age be x
then sachin's age = x-7
(x-7)/x = 7/9
9x-63 = 7x
x = 31.5
Sachin's age = x-7= 24.5 years
Answer is A
Answer: A
Question: The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 16 km/hr respectively. They will meet for the first time in?
Options:
A)50min
B)40min
C)35min
D)25min
E)36min
Rationale: Clearly, the two will meet when they are 1000 m apart
To be 20+16 = 36 km apart, they take 1 hour
To be 1000 m apart, they take 36 * 1000/1000 = 36 min.
Answer is E
Answer: E
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $13,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?
Options:
A)62,000
B)85,500
C)95,500
D)110,500
E)100,000
Rationale: Answer equals D in 48 years. I thought by 50th year it would reach 110,500. Options should have been separated more widely for clarity.
Answer: D
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 5 mangoes. Find the gain percent?
Options:
A)3.4%
B)2.5%
C)2.1%
D)8.5%
E)2.4%
Rationale: SP = CP + g
150 SP = 150 CP + 5 SP
145 SP = 150 CP
145 --- 5 CP
100 --- ? => 3.4%
Answer:A
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 10 --- (2)
From (1) & (2) 2x = 28 => x = 14, y = 4
Answer: D
Answer: D
Question: In how many ways 6 boys and 4 girls can be seated in a row so that they are alternative?
Options:
A)14420
B)12620
C)17280
D)21200
E)24560
Rationale: 6 boys can be seated in 6!
4 girls can be seated in 4!
Required number = 6!4! = 17280
Answer is C
Answer: C
Question: Sheela deposits Rs. 5000 in bank savings account. If this is 20% of her monthly income. What is her monthly income in?
Options:
A)22000
B)20000
C)25000
D)22235
E)None of these
Rationale: Explanation :
20% of income = Rs. 5000
100% of income = 5000 X 100/20 = Rs. 25000
Answer : C
Answer: C
Question: The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Options:
A)22 cm
B)24 cm
C)26 cm
D)28 cm
E)29 cm
Rationale: Explanation:
We know perimeter of square = 4(side)
So Side of first square = 40/4 = 10 cm
Side of second square = 32/4 = 8 cm
Area of third Square = 10*10 - 8*8
= 36 cm
So side of third square = 6 [because area of square = side*side]
Perimeter = 4*Side = 4*6 = 24 cm
Answer: Option B
Answer: B
Question: When a natural number N is successively divided by 11,12,13,14. the remainders are 15,16,17,18. What will be the sum of the remainders if the order of the division is reversed?
Options:
A)16
B)14
C)12
D)11
E)9
Rationale: 11 12 13 14
15 16 17 18
leave the top right- most number 8
start with bottom right-most number 5
18*13+17=251
251*12+16=3028
3028*11+15=33323
this is the number required
Now, do the successive division in the reverse order
The sum of the remainders is 14
Hence, the correct option is B
Answer: B
Question: In a sports club with 40 members, 20 play badminton and 18 play tennis and 5 do not play either. How many members play both badminton and tennis?
Options:
A)3
B)5
C)6
D)7
E)3
Rationale: 20+18=38
but where as total number is 40-5=35
therefore answer is 38-35=3
Hence Answer is E
Answer: E
Question: Peter purchased a machine for Rs.80,000 and spent Rs.5000 on repair and Rs.1000 on transport and sold it with 25% profit. At what price did he sell the machine?
Options:
A)Rs.1,05,100
B)Rs.1,06,250
C)Rs.1,07,500
D)Rs.1,17,500
E)None
Rationale: Solution
C.P	= Rs.(80000+5000+1000)
= Rs.86000
Profit= 25%.
S.P	= 12.5% of Rs. 86000
=Rs.(125/100×86000)
=Rs.107500.
Answer C
Answer: C
Question: If the side length of Square B is sqrt(3) times that of Square A, the area of Square B is how many times the area of Square A?
Options:
A)9
B)6
C)4
D)3
E)2
Rationale: Let x be the side length of Square A.
Then the area of Square A is x^2.
The area of Square B is (sqrt(3)x)^2=3x^2.
The answer is D.
Answer: D
Question: At a school, three-fourths of the male students and two-thirds of the female students speak a foreign language. If the number of males is two-thirds the number of females, what fraction of the students speak a foreign language?
Options:
A)2/3
B)3/5
C)4/5
D)7/10
E)13/20
Rationale: Let x be the number of students in the school.
The number of males who speak a foreign language is (3/4)(2/5)x = (3/10)x
The number of females who speak a foreign language is (2/3)(3/5)x = (2/5)x
The total number of students who speak a foreign language is (3/10)x + (2/5)x = (7/10)x
The answer is D.
Answer: D
Question: A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Options:
A)15 m,17m
B)15 m,16m
C)15 m,10m
D)15 m,90m
E)15 m,30m
Rationale: lb = 150
2(l + b) = 50 => l + b = 25
l – b = 5
l = 15 b = 10
Answer: C
Answer: C
Question: A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
Options:
A)Rs 2500
B)Rs 32500
C)Rs 22500
D)Rs 32500
E)Rs 12500
Rationale: Let his total sales be Rs.x.Now(Total sales) – (Commission )=Rs.31,100
x-[(5% of 10000 + 4% of (x-10000)]=31,100
x-[((5/100)*10000 + (4/100)*(x-10000)]=31,100
x-500-((x-10000)/25)=31,100
x-(x/25)=31200  24x/25=31200x=[(31200*25)/24)=32,500.
Total sales=Rs.32,500
ANSWER D 32500
Answer: D
Question: Albert invested amount of 20000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
Options:
A)Rs. 8510
B)Rs. 22050
C)Rs. 8730
D)Rs. 8820
E)None of these
Rationale: Explanation:
=>(20000×(1+5/100)2)
=>20000×21/20×21/20
=>22050
Option B
Answer: B
Question: The value of x + x(x^x) when x = 4 is
Options:
A)1003
B)1024
C)1028
D)1026
E)1002
Rationale: Solution:
x + x(x^x)
Put the value of x = 2 in the above expression we get,
4 + 4(4^4)
= 4 + 4(4 Ã— 4 x 4 x 4)
= 4+ 4(256)
= 4 + 1024
= 1028
Answer: (C)
Answer: C
Question: The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a quarter of its new value. What is the stock's value at the end of Monday?
Options:
A)X.
B)3X/8.
C)2X/3.
D)X/3.
E)X/4.
Rationale: Stock value= X
AT sunday end= x+.5X= 1.5 X
On monday the value drop to 1/4rd of its value on sunday
1.5x/4= 3X/8
B is the answer
Answer: B
Question: A sum of Rs. 800 amounts to Rs. 920 in 8 years at simple intere
interest rate is increased by 8%, it would amount to bow mucb ?
Options:
A)Rs 990
B)Rs 995
C)Rs 997
D)Rs 992
E)Rs 999
Rationale: S.l. = Rs. (920 - 800) = Rs. 120; p = Rs. 800, T = 3 yrs. _
. R = ((100 x 120)/(800*3) ) % = 5%.
New rate = (5 + 3)% = 8%.
New S.l. = Rs. (800*8*3)/100 = Rs. 192.
:. New amount = Rs.(800+192) = Rs. 992
Answer is D.
Answer: D
Question: Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Options:
A)6
B)7
C)8
D)1
E)4
Rationale: 10*10
-------- = 1%
100
Answer: D
Answer: D
Question: Find k if 32 / k = 4.
Options:
A)6
B)7
C)8
D)4
E)3
Rationale: Since 32 /k = 4 and 32/ 8 = 4, then
k = 8 correct answer C
Answer: C
Question: Mary and Mike enter into a partnership by investing $900 and $100 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1600 more than Mike did, what was the profit made by their business in that year?
Options:
A)$3500
B)$3400
C)$3300
D)$3200
E)$3000
Rationale: Explanatory Answer
Let the profit made during the year be $3x
Therefore, $x would have been shared equally and the remaining $2x would have been shared in the ratio 9 : 1.
i.e., 90% of 2x would go to Mary and 10% of 2x would go to Mike.
Hence, Mary would get (90 - 10)% of 2x more than Mike
Or80% of 2x = $1600
i.e.,(60/100)*2x = 1600
or 2x = 2000.
Hence, the profit made by the company during the year $3x = $3000.
Answer : E
Answer: E
Question: 75% of 480 = (?) x 15 ?
Options:
A)32
B)18
C)360
D)None of these
E)Cannot be determined
Rationale: Answer
Let 75% of 480 = A x 15.
⇒ (75 x 480)/100 = 15A
∴ A = (75 x 480)/ (100 x 15) = 24
Correct Option: D
Answer: D
Question: A certain elevator has a safe weight limit of 1950 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 190 pounds and the average weight of the others being 200 pounds?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: Lets assume there are 2X people.
Half of them have average weight of 190 and other half has 200.
Maximum Weight is = 1950
So 190*X + 200*X = 1950
=> 390X = 1950
=> X is approximately equal to 5.
So total people is 2*5 = 10
Answer D.
Answer: D
Question: 69 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Options:
A)20
B)23
C)24
D)25
E)26
Rationale: According to the chain rule,
M1 x T1 = M2 x T2
Therefore, 69 x 12 x 5 = 30 x 6 x X
X = 23
Hence, the number of days = 23.
ANSWER:B
Answer: B
Question: If W + A < W - A < A - W, which of the following is correct?
Options:
A)A < W < 0.
B)W < A < 0.
C)W < 0 < A.
D)0 < B < A.
E)B > A > 0.
Rationale: Check first inequality
W + A < W - A
A<-A
A is -ve
Check another equality
W - A < A - W
-2A<-2W
A>W
Combining both 0>A>W
Option B fits only
Ans B
Answer: B
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 43. Find the third number?
Options:
A)A)37
B)B)85
C)C)48
D)D)43
E)E)84
Rationale: Let the numbers be 5x, 6x, 7x.
Largest number = 7x.
Smallest number = 5x.
Third number = 6x.
7x + 5x = 6x + 43
6x = 43 => third number is 43.
Answer: Option D
Answer: D
Question: Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
Options:
A)22
B)11
C)44
D)33
E)55
Rationale: Let the numbers be 3x and 5x.
Then, 3x - 9/5x - 9 = 12/23
= 23(3x - 9)
= 12(5x - 9)
= 9x = 99
x = 11.
Therefore, The smaller number = (3 x 11) = 33.
Answer is D.
Answer: D
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.24000. What will be the ratio in which they should share the profit at the end of the year?
Options:
A)1:2
B)2:1
C)3:2
D)2:3
E)5:2
Rationale: Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
=45000×12:24000×9
=45×12:24×9
=15×12:8×9
=5:2
Answer is E.
Answer: E
Question: What day of the week was 5th January 2001
Options:
A)Sunday
B)Thursday
C)Saturday
D)Tuesday
E)Friday
Rationale: Explanation:
5th Jan 2001 = (2000 years + 5th Jan 2001)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
5th Jan 2001 = 5 odd day
Total number of odd days = (0 + 5) = 5
5 odd days = Friday
Hence 5th January 2001 is Friday.
Answer: Option E
Answer: E
Question: The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
Options:
A)1:1
B)1:9
C)1:3
D)1:4
E)1:3
Rationale: 1:4
Answer: D
Answer: D
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
A)2800
B)2500
C)2700
D)3000
E)3500
Rationale: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 â€“ 5x/100 = 144
2x/100 = 56 Ã¨ x = 2800
ANSWER A
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Options:
A)40 years
B)50 years
C)60 years
D)70 years
E)80 years
Rationale: Explanation:
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Husband’s present age = (90 – 50) years = 40 years.
Answer: A
Answer: A
Question: 5+8
Options:
A)8
B)13
C)28
D)6
E)2
Rationale: B
Answer: B
Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 650?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: 650 = 2*222 + (22*9) + 4*2
K weight of 600 = 2 +9+2 = 13
Answer D
Answer: D
Question: How many digits are in (8×10^18)(10×10^10)?
Options:
A)24
B)25
C)26
D)27
E)30
Rationale: The question simplfies to (8×10^18)(10^11)
=> 8*10^29
=> Will contain 29 zeros +1 digit 8
=>30
Ans E
Answer: E
Question: At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent A of the interns report no feelings of tiredness during their shifts?
Options:
A)6
B)14
C)19
D)20
E)81
Rationale: < 6 hours sleep>= 6 hours sleepTOTAL
Tired75--
Not Tired-0.7*X?
TOTAL80X100
Interns who receive< than 6 hours sleepandNot Tired= 80 - 75 = 5;
TOTAL interns who receive >= 6 hours sleep= 100 - 80 = 20, so interns who receive>= 6 hours sleepand areNot Tired= 0.7 * 20 =14;
Interns who areNot Tired A= 5 + 14 = 19.
Answer: C.
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12600 after a year?
Options:
A)3630
B)3637
C)3630
D)3631
E)3780
Rationale: 6300:4200:10500
3:2:5
3/10 * 12600 = 3780
Answer: E
Answer: E
Question: 100 people standing in a circle in an order 1 to 100. No.1 has a sword. He kills next person (i.e.no. 2 )and gives sword to next to next (i.e no.3). All person does the same until only 1 survives. Which number survives at the last?
Options:
A)48
B)53
C)64
D)84
E)73
Rationale: my answer logic rules:
(i) if the last people survived of the next series remains same then the first person is killed
(ii)if the last person of the next sequence is less than the 1st series then the 1st person remains alive
(iii)all the sequence goes with an increment like 2,4,8,16,32,.....
these are the people survived
1,5,7,......99 (diff 2)
1,7,11,.....97 (diff 4),(here 97 1st will be killed
9,25,.......89 (diff 16)
9,41,73 (diff 32)
9,73 (diff 64)
73 is the last man to be alive
ANSWER:E
Answer: E
Question: There are 2 bars of copper-nickel alloy. One bar has 2 parts of copper to 5 parts of nickel. The other has 3 parts of copper to 5 parts of nickel. If both bars are melted together to get a 20 kg bar with the final copper to nickel ratio of 5:11. What was the weight of the first bar?
Options:
A)1 kg
B)4 kg
C)6 kg
D)14 kg
E)16 kg
Rationale: In the 20 KG bar,
Copper constitutes 5/16*20 = 25/4 of the mixture
Nickel constitutes 11/16*20 = 55/4 of the mixture
Now,
Let C/N ratio in Bar 1 of the solution be 2a : 5a
Let C/N ratio in Bar 2 of the solution be 3b : 5b
Therefore,
2a+3b = 25/4 and
5a+5b = 55/4
Solving for the above you get,
b= 3/4 and a=2
Now weight of the first bar = 2a+5a = 7*2 = 14
ANSWER:D
Answer: D
Question: In certain code 'COLD' is written as '*$&#' and 'FOUND' is written as '@$^?#'. How is 'LOUD' written in that code?
Options:
A)@%&#
B)?@^*
C)#*&^
D)&$^#
E)#&^$
Rationale: & = L
$ = O
^ = U
# = D
Answer: Option D
Answer: D
Question: A hen leaps 6 leaps for every 8 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck?
Options:
A)1:1
B)3:8
C)4:3
D)8:9
E)1:3
Rationale: Given;
4 duck = 3 hen;
Or, duck/hen = 3/4;
Let hen's 1 leap = 4 meter and ducks 1 leap = 3 meter.
Then, ratio of speed of hen and duck = 4*6/3*8 = 1:1''Answer: 1:1;
Answer: A