divelab/Sys2Bench huggingface dataset:
Question: A train running at the speed of 240 km/hr crosses a pole in 21 seconds. What is the length of the train?
Options:
A)1300 m
B)1350 m
C)1400 m
D)1450 m
E)1500 m
Rationale: Speed=(240 * 5/18) m/sec
= (200/3) m/sec Length of the train
= (Speed x Time)
= (200/3 * 21) m = 1400 m.
Answer:C
Answer: C
Question: Rhonda picked 2 pen from the table, if there were 7 pens on the table and 5 belongs to Jill, what is the probability that the 2 pen she picked does not belong to Jill?.
Options:
A)5/42
B)2/42
C)7/42
D)2/7
E)5/7
Rationale: Since Jill owns 5 of the pen, the subset from which the 2 pens hould be chosen are the 2 pens not owned by Jill fom the universe of 7.
The first pen can be one of the 2 from the 7 with probability 2/7.
The second pen can be one of the 1 from the 6 remaining with probability 1/6,
The total probability will be 2/7 × 1/6. On cancellation, this comes to 2/42.
Thus, the answer is B - 2/42.
Answer: B
Question: If a/x = 1/3 and a/y =1/ 4, then (x + y) =
Options:
A)2a
B)a/2
C)6a
D)7a
E)9a
Rationale: Ratio 1:
3a = x
Ratio 2:
4a = y
x+y = 7a
Answer is D
Answer: D
Question: Total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3/4 liter milk 25 cow gives each 1/4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how?
Options:
A)10
B)12
C)15
D)25
E)18
Rationale: 25 cow 2 liter each =50 liter
25 cow 3/4 liter each= 3/4=0.75*25=18.75
25 cow 1/4 liter each = 1/4=0.25*25=6.25
add 50+18.75+6.25=75
milk split into 3 son each 25 liter then 75/3=25
ANSWER:D
Answer: D
Question: Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
Options:
A)Rs. 400
B)Rs. 440
C)Rs. 500
D)Rs. 550
E)Rs. 650
Rationale: Let the C.P. be Rs. x. Then, 20% of x = 1100
20/100 * x = 1100 => x = 5500
C.P. = Rs. 5500, expenditure on repairs = 10%
Actual price = Rs. (100 * 5500)/110 = Rs. 5000
Expenditures on repairs = (5500 - 5000) = Rs. 500.
ANSWER:C
Answer: C
Question: A box contains TEN bulbs out of which 6 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Options:
A)185/210
B)195/210
C)123/210
D)154/210
E)178/210
Rationale: Required probability=1-6C4/10C4= 1 - 15/210= 195/210Answer:B
Answer: B
Question: If r > 1 and s = 2^(r −1), then 4^r =
Options:
A)16s^2
B)4s^2
C)s^2
D)s^2/4
E)s^2/16
Rationale: If r > 1 and s = 2^(r −1), then 4^r
Given r>1, so let's assume r=2
s=2^(r-1) = 2^(2-1) = 2, so s=2
hence, 4^r = 4^2 = 16
only 1 ans. choice can satisfy this:
A) 16s^2 --> clearly > 16
B) 4s^2 --> 4*2^2 = 16(we can stop after this as there can be only 1 right answer)
C) s^2 --> clearly < 16
D) s^2/4 --> clearly < 16
E) s^2/16 --> clearly < 16
Ans. B) 4s^2
Answer: B
Question: The length of rectangle is thrice its breadth and its perimeter is 104 m, find the area of the rectangle?
Options:
A)432 sq m
B)356 sq m
C)452 sq m
D)428 sq m
E)507 sq m
Rationale: 2(3x + x) = 104
l = 39 b = 13
lb = 39 * 13 = 507
ANSWER:E
Answer: E
Question: The average of four consecutive even numbers is 27. find the largest of these numbers?
Options:
A)14
B)17
C)30
D)26
E)24
Rationale: Sol: let the numbers be x,x+2,x+4 andx+6. then,
(x+(x+2)+(x+4)+(x+6))/4) = 27
(4x+12)/4 = 27
x+3=27; x=24.
Therefore the largest number=(x+6)=24+6=30.
Ans: C
Answer: C
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Options:
A)279
B)283
C)308
D)318
E)415
Rationale: Explanation :
Other number = 11â‹…7700 / 275 = 308
ANSWER IS C
Answer: C
Question: Mangala completes a piece of work in 8 days, Raju completes the same work in 26 days. If both of them work together, then the number of days required to complete the work is?
Options:
A)8 days
B)6 days
C)8 days
D)10 days
E)12 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 8 × 26/34 = 6 days
B)
Answer: B
Question: A rainstorm increased the amount of water stored in State J reservoirs from 5 billion gallons to 7.5 billion gallons. If the storm increased the amount of water in the reservoirs to 55 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Options:
A) 6.9
B) 1.4
C) 2.5
D) 3.0
E) 4.4
Rationale: After the reservoir is filled to 7.5 gallons the amount of water is at 55 % - which means that 45% of the reservoir is empty. To figure out what that 45% is approximate: 7.5 gallons /55 percent = x gallons /45 percent , therefore, x = 6.136 gallons , answer choices E,B,C,D are below 6.136 . We know that the reservoir must be short more than 6.136 gallons, therefore, the only possible choice is A.
Answer: A
Question: A part of certain sum of money is invested at 8% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Options:
A)3:2
B)4:8
C)4:3
D)4:0
E)4:9
Rationale: 12:8
= 3:2
Answer: A
Answer: A
Question: Find the numbers which are in the ratio 3:2:4 such that the sum of the first and the second added to the difference of the third and the second is 21?
Options:
A)4,3,22
B)4,4,22
C)9,3,32
D)9,6,12
E)9,2,23
Rationale: Let the numbers be a, b and c.
a:b:c = 3:2:4
Given, (a + b) + (c - b) = 21
=> a + c = 21
=> 3x + 4x = 21 => x = 3
a, b, c are 3x, 2x, 4x
a, b, c are 9, 6, 12.
Answer:D
Answer: D
Question: A rectangle has 20 meter length and 15 meter breadth. Find ratio between area of rectangle and square whose side is same with rectangle's length.
Options:
A)3 : 2
B)3 : 4
C)4 : 5
D)2 : 3
E)2 : 5
Rationale: Area of rectangle = 20*15 = 300
Area of square = 20^2 = 400
Ratio of rectangle' area and square's area = 300 : 400 = 3 : 4
Answer: B
Answer: B
Question: Of the science books in a certain supply room, 40 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Options:
A)81
B)159
C)166
D)314
E)324
Rationale: First, you can take all 40 Botany books, all 65 zoology books and all 50 geology books because you're sure to never pick 80 of them.
There are still 90 on physics and 110 on chemistry
The worst case could be that we pick 79 physics and 79 chemistry. So that the next book picked will necessary complete 80 books picked, either in physics or chemistry.
Minimum number of books picked to reach 80 in the same science should be : 40 + 65 + 50 + 79 +79 + 1 = 314
D
Answer: D
Question: Amanda sees a sale for 30% off all items, she sees a dress on sale that originally cost $50. How much will it cost Amanda to buy the dress after the sale amount of 30% has been take off?
Options:
A)$40
B)$35
C)$50
D)$65
E)$15
Rationale: Final number = original number - 30%(original number) = 50 - 30%(50) = 50 - 15 = $35.
Answer B
Answer: B
Question: A car rental company charges for mileage as follows: x dollars per mile for the first n miles and x + 1 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Options:
A)d( x + 1) – n
B)xn + d
C)xn + d( x + 1)
D)x( n + d) – d
E)(x + 1)( d – n)
Rationale: Cost of mileage for the first n miles = nx
Cost of mileage for the next d-n miles = (d-n)(x+1)
Total cost
= nx + (d-n)(x+1)
= nx + dx+d-nx-n
= dx+d-n
= d(x+1) - n
Answer A
Answer: A
Question: What is the smallest possible common multiple of three integers, all larger than 53?
Options:
A)27.
B)54.
C)846.
D)19,656.
E)21,924.
Rationale: The Least common positive multiple would be for the immediate least number(s) after 53 i.e 54.
Since nowhere is it stated that the three integers must be different, the integers could be 54,54 and 54... leading to least possible positive common multiple to be 54. Answer B.
Answer: B
Question: John makes $60 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Options:
A)16%
B)33.33%
C)17%
D)17.61%
E)17.56%
Rationale: Increase = (20/60)*100 = (2/6)*100 = 33.33%.
B
Answer: B
Question: 125.62+6.325+14.4=?
Options:
A)222.569
B)287.36
C)146.345
D)125.69
E)784.36
Rationale: 125.62
6.325
14.4
----------
146.345
Answer is C
Answer: C
Question: Solve for x: 2x â€“ y = (3/4)x + 5.
Options:
A)(y + 6)/5
B)4(y + 5)/5
C)(y + 6)
D)4(y - 6)/5
E)5/4(y-6)
Rationale: Solution:
2x â€“ y = (3/4)x + 5.
or, 2x - (3/4)x = y + 5.
or, (8x -3x)/4 = y + 5.
or, 5x/4 = y + 5.
or, 5x = 4(y + 5).
or, 5x = 4y + 20.
or, x = (4y + 20)/5.
Therefore, x = 4(y + 5)/5.
correct answer B
Answer: B
Question: The ratio of the incomes of A and B is 2:3 and the ratio of their expenditure is 1:2. If at the end of the year, each saves $500 then the income of A is?
Options:
A)$1000
B)$1500
C)$1200
D)$900
E)$1100
Rationale: Let the income of A and B be $2x and $3x
Let their expenditures be $y and $2y
2x-y = 500-------1)
3x-2y = 500-------2)
From 1) and 2)
x = 500
A's income = 2x = 2*500 = $1000
Answer is A
Answer: A
Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.
B
Answer: B
Question: John and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. John eventually performed on all 20 days of the festival, while Cindy performed on 5 fewer days than John performed. If Cindy gives John y dollars of her advance payment so that they would have each received the same daily rate, what was John paid in advance, in terms of Y?
Options:
A)8Y
B)7Y
C)10Y
D)12Y
E)5Y
Rationale: Both of them were given X $ each
Cindy to adjust Y $ in advance to John
So Cindy now has (X-Y)$ and John has (X+Y) $ such that their daily rate becomes same
So Rate of CIndy= Rate of John
Also , Cindy works for 15 days and John works for full 20 days
(X-Y) / 15 = (X+Y) / 20
Solving 20x-20y=15x+15y =>5x=35y => x=35/5y
X= 7Y
Answer : B
Answer: B
Question: A student completes a 3 part exam as follows. The student completes sections A in 18 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
Options:
A)4:3
B)5:4
C)6:5
D)7:6
E)8:7
Rationale: The time spent on section B and section C is 21 minutes each.
The ratio of C to A is 21:18 = 7:6
The answer is D.
Answer: D
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 145, what is the difference between the ages of Patrick and Monica?
Options:
A)27
B)48
C)45
D)72
E)18
Rationale: Ages of P and Mi=3x+5x
Ages of Mi and Mo=3x:5x
Rationalizing their ages. ratio of their ages will be 9x:15x:25x
Sum=47x=145
x=3
Difference if ages of Pa and Mo=25x-9x=16x=16*3=48
Answer B
Answer: B
Question: Adam's mother is 26 years older than him. Next year, however, she will be 3 times older than her son. How old is Adam's mother?
Options:
A)35 years
B)36 years
C)37 years
D)38 years
E)39 years
Rationale: At the present
Adam is x years old.
Adam's mother is y=x+26 years old.
Next year
Adam will be x+1 years old.
Adams mother will be y+1=3 (x+1) years old.
If we combine the two equations,
y=x+26, and
y+1=3 (x+1), then
x+26+1=3x+3
2x=27-3
2x=24
x=12
This is Adam's age at the moment. Since his mother is 26 years older than him, her age is 12+26=38.
ANSWER: D
Answer: D
Question: If 'y' is a positive integer exactly divisible by 4 or 5 but not divisible by 8.What could possibly be the value of 'y' ?
Options:
A)40
B)80
C)20
D)24
E)36
Rationale: 40 and 80 are both divisible by 4 and 5 but also by 8. so they are not the right answer.
24 and 36 are both clearly not divisible by 5(not correct)
20 is both divisible by 4 and 5 but not by 8.
answer : (C)
Answer: C
Question: Lola has $240.00 in her checking account. She spent $180.00. What percentage does she have left in her account ?
Options:
A)75 %
B)50 %
C)40 %
D)55 %
E)None of these
Rationale: Explanation :
Amount left : 240 - 180 = 60
Amount left percentage = (60/240 x 100) %
= 25 %
Answer : E
Answer: E
Question: Solution Y is 20 percent liquid X and 80 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Options:
A)20%
B)21 1/2%
C)22%
D)24%
E)25%
Rationale: In 8 kilograms of solution Y there are 0.2*8=1.6kilograms of solution X;
After 2 kilograms of water are replaced by 2 kilograms of solution Y, to the existing 2.4 kilograms of solution X, 0.2*2=0.4 kilograms of solution X are added, so in the new solution of 8 kilograms there are 1.6+0.4=2 kilograms of solution X, which is 2/8*100=25% of this new solution.
Answer: E.
Answer: E
Question: After harvest, out of a total of N apples from an orchard, if 1/4 of those tested had infection A and, of those with infection A, 1/2 also had infection B, how many apples did not have both infection A and B?
Options:
A)N/15
B)7N/8
C)14N/15
D)N/5
E)4N/5
Rationale: 1/4 of tested had infection A, thus N/4 had infection A;
Of those with infection A, 1/2 also had infection B, thus 1/2*N/4 = N/8 had both infections A and B.
Therefore, N - N/8 = 7N/8 did not have both infection A and B.
Answer: B.
Answer: B
Question: Of the numbers, average of the first five is 16 and that of the last five is 20. if the last number is 20. find the first number?
Options:
A)20
B)0
C)24
D)26
E)28
Rationale: Explanation :
Solution: Let the 6 numbers be a, b, c, d, e and 20. then, given
=> a + b + c + d + e/5 =16
=> b + c + d + e + 20/5 =20
Solve those two equations then we will get a = 0.
.'. first number = 0.
Answer : B
Answer: B
Question: Mixture A is 10 percent alcohol, and mixture B is 40 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 20 percent alcohol, approximately how many gallons of mixture A are in the mixture?
Options:
A)1.6
B)1.7
C)1.8
D)1.9
E)2.0
Rationale: (40-20)/(20-15) = Qa/Qb
20/10 = Qa/Qb
2/1 = Qa/Qb
Qa = (2/5) * 4 = 8/5 = 1.6 approx
Answer : A
Answer: A
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Options:
A)200
B)205
C)204
D)209
E)300
Rationale: We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).
Required number
of ways	= (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)
=>209
ANSWER D
Answer: D
Question: A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?
Options:
A)50
B)36
C)24
D)12
E)20
Rationale: HCF of 408, 468, 516 = 12
ANSWER:D
Answer: D
Question: If $10,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Options:
A) compounding annually
B) compounding quarterly
C) compounding daily
D) compounding monthly
E) All four of these would produce the same total
Rationale: Answer = C Compounding daily
This will produce the maximum yield as the interest accured each day will be added the very next day to the Principal amount for further computation of interest.
This process will be repeated every day till the amount matures
Compounding annually will give least returns
Answer: C
Question: What is the probability that the sum of two dice will yield a 9, and then when both are thrown again, their sum will again yield a 9? assume that each die has 8 sides with faces numbered 1 to 8.
Options:
A)1/64
B)1/36
C)1/12
D)1/6
E)1/3
Rationale: Solution -
Rolling dices is an independent event.
The combinations to get 9 are (1,8), (8,1), (2,7), (7,2), (3,6), (6,3), (4,5), (5,4), and total combinations of both dices is 64.
The probability of getting 9 in first attempt is 8/64=1/8.
Probability of getting 9 again in second attempt = (1/8)*(1/8) = 1/64. ANS A
Answer: A
Question: The greatest number of four digits which is divisible by 7, 10, 40 and 60 is:
Options:
A)9200
B)9300
C)9400
D)8400
E)7400
Rationale: Greatest number of 4-digits is 9999.
L.C.M. of 7, 10, 40 and 60 is 4200.
On dividing 9999 by 4200, the remainder is 1599.
Required number (9999 - 1599) = 8400.
ANSWER :D
Answer: D
Question: A restaurant spends one quarter of its monthly budget for rent and half of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
Options:
A)23.5%
B)32.5%
C)35%
D)37.5%
E)75%
Rationale: let the total budget be 100
as per the question ,
restaurant spends one quarter of its monthly budget for rent = 25
half of the rest for food and beverages = 75/2 =37.5
therefore, percentage spent on food and beverage = 37.5
ANSWER:D
Answer: D
Question: Out of 420 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
Options:
A)120
B)150
C)130
D)180
E)220
Rationale: n(A)=325,n(B)=175,n(AuB)=420-50=370.
Required number = n(AnB)=n (A)+n (B)-n(AuB)=325+175-370=130.
Answer is C
Answer: C
Question: The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning was
Options:
A)162
B)108
C)96
D)54
E)None
Rationale: Solution: Let the number of students in the classes be 2x, 3x and 4x respectively;
Total students = 2x+3x+4x = 9x.
According to the question,
(2x+12)/(3x+12) = 8/11
24x+96 = 22x+132
Or, 2x = 132-96
Or, x = 36/2 = 18
Hence, Original number of students,
9x = 9*18 = 162.
Answer: Option A
Answer: A
Question: Find a 5-digit integer whose value is equal to the sum of the factorials of its own digits.
Options:
A)40585
B)41585
C)42585
D)44585
E)30585
Rationale: factorial values from 0 to 9
0!=1
1!=1
2!=2
3!=6
4!=24
5!=120
6!=720
7!=5040
8!=40320
9!=362880 now given that it is a 5 digit number
so we can eliminate 9! from the count.
but
0-9 numbers can be arranged in 5 digit numbers in 9x9x9x9x9=59049(if repetition)
If not:
9x8x7x6x5=15120
by crosscheck we can eliminate numbers with 1,2,3,6,7,8,9 numbers in twice or thrice or more
40585
4!+0!+5!+8!+5!= 24 + 1 + 120 + 40320 + 120
= 40585
ANSWER:A
Answer: A
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Options:
A)9
B)8
C)7
D)6
E)4
Rationale: Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.
π(16)2 * h = (4/3)π (12)3 => h = 9 cm
Answer: A
Answer: A
Question: By weight, liquid X makes up 0.7 percent of solution P and 1.2 percent of solution Q. If 200 grams of solution P are mixed with 800 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?
Options:
A)1.2%
B)1.1%
C)1.0%
D)0.9%
E)0.8%
Rationale: The number of grams of liquid X is 0.7(200)/100 + 1.2(800)/100 = 1.4 + 9.6 = 11 grams.
11 / 1000 = 1.1%
The answer is B.
Answer: B
Question: A line has a slope of 3/4 and intersects the point (-12, -39). At which point E does this line intersect the x-axis?
Options:
A)(40,0)
B)(30,0)
C)(0,40)
D)(40,30)
E)(0,30)
Rationale: Assume that the equation of the line is y=mx+c, where m and c are the slope and y-intercept.
You are also given that the line crosses the point (-12,-39), this means that this point will also lie on the line above.
Thus you get -39=m*(-12)+c , with m=3/4 as the slope is given to be 3/4.
After substituting the above values, you get c = -30.
Thus the equation of the line is y=0.75*x-30 and the point where it will intersect the x-axis will be with y coordinate = 0.
Put y=0 in the above equation of the line and you will get, x=40.
Thus, the point E of intersection is (40,0).
A is the correct answer.
Answer: A
Question: A bag contains 6 black and 7 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)7/13
Rationale: Let number of balls = (6 + 7) = 13.
Number of white balls = 7.
P (drawing a white ball) = 7/13
Hence Answer is E
Answer: E
Question: There can be myriad ways to create a palindrome. One day, I thought of making my own palindrome. I thought of a number and then decided to add the reversed number to it. Sadly, I did not get a palindrome.
So I kept repeating this step and eventually I succeeded in creating a palindrome. I don't know if you can always create a palindrome using this method but I was able to generate one of four digits.
Can you tell me the number at which I started?
Options:
A)192
B)130
C)185
D)167
E)120
Rationale: A
192
I started with the number 192.
Adding the reversed 291 to 192 gave me 483.
Similarly,
483 + 384 = 867
867 + 768 = 1635
1635 + 5361 = 6996
Answer: A
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. Find the gain value.
Options:
A)4.12
B)3.63
C)1.1
D)2.58
E)5.63
Rationale: . cp=rs27.50, sp=rs 28.50
gain=rs(28.50 –27.50)=rs1.10
Ans: C
Answer: C
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Options:
A)375
B)500
C)450
D)350
E)600
Rationale: A+B+C = 1500
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = 1/4 * 1500 => 375
ANSWER A
Answer: A
Question: Eight people went to a restaurant for dinner. Seven of them spent $8 each on their meals and the eighth spent $7 more than the average expenditure of all eight people. What was the total amount of money that the eight people spent?
Options:
A)$72
B)$75
C)$78
D)$81
E)$84
Rationale: Let T be the total amount of money spent.
7*8 + (T/8 + 7) = T
63 = 7T/8
T = (8*63)/7 = 72
The answer is A.
Answer: A
Question: The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?
Options:
A)12
B)75
C)97
D)15
E)91
Rationale: 1/3 * π * 3 * 3 * 4
= 12 π
Answer:A
Answer: A
Question: In a school 20% of the boys are same in number as 1/4th of the girls. what is the ratio of boys to the girls in the school?
Options:
A)5:4
B)2:3
C)1:4
D)3:7
E)2:5
Rationale: 20% of B = 1/4 G
20B/100 = G/4
B = 5G/4
B/G = 5/4
B:G = 5:4
Answer is A
Answer: A
Question: Find the cube root of 185193.
Options:
A)33
B)57
C)99
D)17
E)01
Rationale: Observe unit digit here is 3 so unit digit of the answer is 7. Now omit 193. Now find after which perfect cube 193 lies. It is 125. So our tenth place is 5. So answer is 57.
Answer:B
Answer: B
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 of these
Rationale: Explanation:
External radius = 4 cm,
Internal radius = 3 cm.
Volume of iron = [(22/7) × (42 - 32) × 21]cm3 = 462 cm3
Weight of iron = (462 x 8)gm = 3696 gm = 3.696 kg
Answer: B
Answer: B
Question: The Smallest number which when diminished by 7, is divisible by 12,16,18,21 and 28 is :
Options:
A)1008
B)1015
C)1022
D)1032
E)None of these
Rationale: Solution
Required number = (L.C.M. of 12,16,18,21,28)+7 = 1008 + 7 = 1015. Answer B
Answer: B
Question: How many of the positive factors of 24 are not factors of 27
Options:
A)2
B)6
C)4
D)1
E)5
Rationale: factors of 24 - 1, 2, 3, 4, 6, 8, 12,24
factors of 27 -1, 3, 9,27
Comparing both, we have 6 factors of 24 which are not factors of 27- 2,4,6,8,12,24
Answer: B
Answer: B
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 60%
Options:
A)18.75
B)19.75
C)20.75
D)21.75
E)24
Rationale: 60*84/100=50.40 lit milk that is 9.60 lit water
let x lit water will be added then
(60+x)*60/100=50.40
so x=18.75
ANSWER:E
Answer: E