RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 6 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
A.24
B.44
C.53
D.60
Answer: C.53
Explanation: She walked 18 miles on the first day, walking 6 miles per hour i.e. total time of walk on Day-1 = 18/6 = 3 Hours
Second day time of walk = 3-1 = 2 hours and Speed = 6+1=7 miles per hour i.e. Distance walked on second day = 2*7 = 14 miles
Third day time of walk = 3 hours and Speed = 7 miles per hour i.e. Distance walked on second day = 3*7 = 21 miles
Total Distance travelled on three days = 18+14+21 = 53
Answer: Option C
Question: Paul professes to sell his goods at the cost price but he made use of 375 grams instead of a kg, what is the gain percent?
A.24 2/3%
B.25 2/3%
C.26 2/3%
D.27 2/3%
Answer: C.26 2/3%
Explanation: 375 --- 100
100 --- ? => 26 2/3%
Answer:C
Question: There are 2 sections A and B in a class, consisting of 26 and 34 students respectively. If the average weight of section A is 50kg and that of section B is 30kg, Find the average of the whole class?
A.35.29kg
B.37.25kg
C.42.45kg
D.38.66kg
Answer: D.38.66kg
Explanation: Total weight of 26+34 students = 26*50 + 34*30 = 2320
Average weight of the class is = 2320/60 = 38.66 kg
Answer is D
Question: Angela has 14 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?
A.8
B.9
C.10
D.11
Answer: D.11
Explanation: I think if Angela loses 7 individual socks,then she is bound to have lost minimum of 3 pairs and 1 individual sock,in this way she is left with only 10 pairs of socks (14-(3+1)).
Hence,11 cannot be the answer as maximum is 10.
Hence, option (D)
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 200 revolutions. How many revolutions does the second wheel make in covering d feet?
A.200x/y
B.200y - x
C.200x - y
D.200y/x
Answer: A.200x/y
Explanation: First Wheel with diameter x inches ----> So the circumference = x*pi --------- (1)
Second Wheel with diameter y inches ----> So the circumference = y*pi --------- (2)
Revolutions = distance/circumference
So, from equation (1)
200 = d/(x*pi)
d = 200 * x * pi ---------- (3)
From equation (2)
Revolutions = d/(y*pi) = (200 * x * pi) / (y*pi) = 200x/y
Answer (A)
Question: Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 3, then what is the volume of the room?
A.4.5 cubic meters
B.2.4 cubic meters
C.3.0 cubic meters
D.3.6 cubic meters
Answer: A.4.5 cubic meters
Explanation: Time to paint each wall as given in problem:
AC = 8 hours
BC = 4 hours
AB = 12 hours
Since he works at constant rate and it takes him twice as long to paint AC compared to BC
AC=2BC
Plug in 3 for A and you find that B=1.5
Since painting AB takes 3 times as long compared to BC,
AB=3BC
Plug in 6 for A and 3 for B and you find that C=1
A*B*C=3*1.5*1=4.5 cubic meters
Answer: A
Question: Choose the missing terms out of the given alternatives.
DKY, FJW, HIU, JHS, ?
A.LGQ
B.KGR
C.LFQ
D.KFR
Answer: A.LGQ
Explanation: A
LGQ
The first letters are alternate. The second letter of moves one step backward to obtain the second letter of the successive term. The third letter moves two steps backward to obtain the third letter of the subsequent term.
Question: (51+52+53+………+100) is equal to:
A.2525
B.2975
C.3225
D.3775
Answer: D.3775
Explanation: (51+52+53+………+100) = (1+2+3+…….+100)- (1+2+3+4+……+50)
= (100*101)/2 - (50*51)/2
= (5050-1275)= 3775.
ANSWER:D
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 12 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
A.30
B.45
C.60
D.90
Answer: D.90
Explanation: Whole trip = distance by foot + distance by bus + distance by car
x = 1/5x + 2/3x + 12
x - 13/15x = 12
2/15x = 12 => so x = (15/2)*12 = 90Km
Answer D
Question: If 5 and 7 are prime numbers, which of the following CANNOT be the sum of 5 and 7?
A.12
B.13
C.24
D.36
Answer: B.13
Explanation: Ans :B
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A.12 km/hr
B.11 km/hr
C.10 km/hr
D.8 km/hr
Answer: B.11 km/hr
Explanation: Explanation :
Let speed of the boat in still water = a and speed of the stream = b
Then
a + b = 14
a - b = 8
Adding these two equations, we get 2a = 22
=> a = 11
ie, speed of boat in still water = 11 km/hr. Answer : Option B
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.12200 after a year?
A.3660
B.3637
C.3630
D.3631
Answer: A.3660
Explanation: 6300:4200:10500
3:2:5
3/10 * 12200 = 3660
Answer: A
Question: If p is an odd integer and q is an even integer, which of the following must be an even integer?
A.1+2p+2q^2
B.p+3q
C.2p+q
D.2p+q-1
Answer: C.2p+q
Explanation: p is odd; for this assume p=1
q is even; for this assume q = 2
1+(2*1)+2(2^2) = 11 Odd
1+(3*2) = 7 Odd
(2*1)+2 = 4 Even
(2*1)+2-1 = 3 Odd
(3*1)-2+2 = 3 Odd
Answer:C
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone?
A.1 1/9 days
B.1 1/2 days
C.1 3/2 days
D.1 2/2 days
Answer: B.1 1/2 days
Explanation: 3/20 * 2 + (2 + x)/5 = 1
x = 1 1/2 days
Answer: B
Question: The ratio between the number of sheep and the number of horses at the Stewar farm is 6 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
A.18
B.28
C.32
D.48
Answer: D.48
Explanation: et no of sheep and horses are 6k and 7k
no of horses= 12880/230=56
now 7K=56 and k=8
no of sheep=(6*8) =48
ANSWER:D
Question: A worker earns $20 on the first day and spends $15 on the second day. The worker earns $20 on the third day and spends $15 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $100?
A.30
B.33
C.35
D.38
Answer: B.33
Explanation: Every two days, the net total is $5.
After 32 days, the worker will have $80.
On day 33, the worker will receive $20 for a net total of $100.
The answer is B.
Question: Kamal started a business investing Rs.9000. After five months, Sameer joined with a capital of Rs.8000. If at the end of the year, they earn a profit of Rs.6970, then what will be the shares of sameer in the profit?
A.Rs.1883.78
B.Rs.2380
C.Rs.3690
D.Rs.3864
Answer: B.Rs.2380
Explanation: Solution
Kamal : Sameer	=(9000×12):(8000 ×7)
= 108 : 56
= 27 : 14.
Sameer's share	= Rs.(6970 ×14/41)
=Rs.2380.
Answer B
Question: Mixture D is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture D, how many kilograms of mixture D must be added to make a 70% material B in the new mixture?
A.A)6
B.B)7
C.C)8
D.D)9
Answer: A.A)6
Explanation: Can be done with weighted avg method.
if 2 kg more of oil is added to 20% oil of 8 kg mix,then a 10kg of mix will have 3.6kg (or 36%) of oil .
D1=20(initial mix.)
Avg. is what we need..ie 70% of material B means 30% of oil
D2=36(36% of 10 kg mix)
w1/w2=(D2-Avg)/(Avg-D1)
(36-30)/(30-20)
6/10
means for every 10 kg of new mix. we need 6 kg of mix D
Ans A
Question: How many three-digit numbers are there such that all three digits are different and the first digit and last digit is not zero?
A.576
B.648
C.720
D.729
Answer: A.576
Explanation: All three digits are different and first digit is not zero.
So first digit can be filled in 8 ways.
And, second digit can be filled in 9 ways.
And, third digit can be filled in 8 ways.
Total ways = 8*9*8
= 576
Hence option (A).
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
A.$1740
B.$1560
C.$1500
D.$1800
Answer: C.$1500
Explanation: C
$1500
Let the cost price of an article be $ x.
(19% of x) - (12% of x) = 105
19x/100 - 12x/100 = 105 => 7x = 105 * 100
=> x = 1500
Cost price = $1500
Question: On flipping 2 coins together what is the outcomes for at least two heads?
A.{HH}
B.{TT}
C.{HT}
D.{TH}
Answer: A.{HH}
Explanation: Sample space, S = {HH, TH, TH, TT}
Favorable outcomes for at least two heads
= favorable outcomes for exactly two heads and favorable outcomes for more than two heads
= {HH}
A
Question: In a class of 300 students, 100 study Spanish and 100 study French. If a student must study at least one of these two languages, what percent of the students study French but NOT Spanish?
A.80%
B.70%
C.67%
D.20%
Answer: C.67%
Explanation: No of students study french= 300- No of students study spanish = 300-100=200
% of the students study french but not spanish = (200/300)*100 % = 67 %
Answer : C
Question: If two sides of a triangle have lengths 3 and 5, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
A.None
B.I only
C.II only
D.II and III only
Answer: C.II only
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Therefore:
(5-3) < {third side} < (5+3).
2 < {third side} < 8.
Perimeter = {third side} + 3 + 5 = {third side} + 8.
10 < {perimeter} < 16.
Answer: C.
Question: An investment yields an interest payment of $225 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
A.$30,000
B.$30,400
C.$31,300
D.$32,500
Answer: A.$30,000
Explanation: Let the principal amount = P
Simple annual interest = 9%
Simple monthly interest = (9/12) = (3/4)%
(3/4)*(P/100) = 225
=>P = (225 *4 * 10^2 )/3
= 75*4*10^2
= 300 * 10^2=30000
Answer A
Question: A contractor completed five-ninths of a job before a second contractor completed an additional one-third. What fraction of the job is left undone?
A.one-ninth
B.two-thirds
C.four-ninths
D.eight-ninths
Answer: A.one-ninth
Explanation: Ans is A
Fraction of Job completed = 5/9 + 1/3 = 5/9 + 3/9 = 8/9 Fraction left undone = 1 - 8/9 = 9/9 - 8/9 = 1/9 i.e. one-ninth
Question: A girl swims downstream 63 km and upstream 28 km taking 72 hours each time; what is the speed of the current?
A.0.5
B.1.5
C.2.1
D.2.5
Answer: D.2.5
Explanation: 63 --- 7 DS = 9
? ---- 1
28 ----7 US = 4
? ---- 1 S = ?
S = (9 - 4)/2 = 2.5
Answer: D
Question: Veena ranks 73rd from the top in a class of 182. What is her rank from the bottom if 35 students have failed the examination?
A.88
B.108
C.110
D.75
Answer: D.75
Explanation: total student=182
failed=35
paasd student=182-35=160
from bottom her rank is=147-73+1=75
ANSWER:D
Question: A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
A.200 kg
B.300 kg
C.400 kg
D.600 kg
Answer: D.600 kg
Explanation: By rule of alligation,
Profit% by selling 1st part Profit% by selling 2nd part
8 18
Net % profit
14
18-14=4 14-8=6
=> Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3
Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)
=1000×35
= 600 kg
D
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/8, what is the probability that Taylor makes exactly one basket in three tries?
A.21/512
B.21/500
C.21/213
D.21/123
Answer: A.21/512
Explanation: Probability of basket = 7/8
Probability of no basket = 1/8
Required probability=3* 1/8*1/8*7/8
= 21/512
A is the answer.
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
A.1: 5
B.1: 1
C.1: 9
D.1: 2
Answer: C.1: 9
Explanation: r1: r2 = 1: 3
Πr12: Πr22
r12: r22 = 1: 9.Answer: C
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 14% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
A.1/35
B.2/35
C.9/25
D.12/19
Answer: C.9/25
Explanation: P (E) = 30 / 100 , P (H) = 20 / 100 and P (E âˆ© H) = 14 / 100 =
P (E or H) = P (E U H)
= P (E) + P (H) - P (E âˆ© H)
= (30 / 100) + (20/100 - (14 / 100) = 36/100 = 9/25
C
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
A.29	1/5
B.37	1/4
C.42
D.54
Answer: C.42
Explanation: we have food for 150 men for 45 days.
After 10 days food left for 150 men for 35 days.
so
150 : 35
now we have 125 men and x days
125 : 150 :: 35 : x
x = (150*35)/125 = 42 days.
ANSWER:C
Question: a, b, c and d are four consecutive numbers. If the sum of a and dis 105, what is the product of b and c?
A.2756
B.2578
C.2534
D.3354
Answer: A.2756
Explanation: A
Here d = a + 3
a + a + 3 = 105
2a = 102
a = 51
So, numbers are 51, 52, 53 and 54
∴ b × c= 52 × 53 = 2756
Question: A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?
A.7
B.6
C.5
D.4
Answer: C.5
Explanation: S.I. on Rs. 800 for 1 year = (840 - 800) = Rs. 40 Rate = (100 * 40)/(800 * 1) = 5%.Answer:C
Question: It takes one machine 2 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
A.a) 7/12
B.b) 1 1/5
C.c) 1 5/7
D.d) 3 1/2
Answer: B.b) 1 1/5
Explanation: RT = W
Given:
R = 1/3 + 1/2 = 5/6
T = ?
W = 1
T = 1 / (5/6) = 6/5 = 1 1/5
Answer: B
Question: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A.145º
B.150º
C.155º
D.160º
Answer: C.155º
Explanation: Angle traced by hour hand in 12 hrs = 360º. Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs ={(360/12) x (31/6)}º	= 155º. Answer : C
Question: The high temperature of a summer day on Fire Island is always one of three temperatures: 84, 85 or 86 degrees. If there is an equal chance of each temperature, what is the probability that the median high temperature over a three day period will be 85 degrees?
A.1/27
B.2/9
C.1/3
D.4/9
Answer: C.1/3
Explanation: Total number of ways:P 3*3*3 = 27
Possible permutations as 85 median
(85, 85, 85), or any permutation of all three.
Total number of permutations: 3 + (3*2*1) = 9
Therefore, 9/27 = 1/3
ANSWER:C
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−12, −8)?
A.4
B.2
C.0
D.−2
Answer: A.4
Explanation: slope = rise/run = 11/22 = 1/2
The equation of the line is y = (1/2)x + b
3 = (1/2)(10) + b
b = -2
The equation of the line is y = (1/2)x - 2
To find the x-intercept, let y = 0:
0 = (1/2)x - 2
x = 4
The answer is A.
Question: A bat is bought for Rs.400 and sold at a gain of 20% find its selling price
A.Rs.430/-
B.Rs.480/-
C.Rs.400/-
D.Rs.580/-
Answer: B.Rs.480/-
Explanation: 100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
B
Question: Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A.16 seconds
B.18 seconds
C.27 seconds
D.54 seconds
Answer: D.54 seconds
Explanation: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 600 / (15 + 25)5/18 = 600* 18 / 40 * 5
= 54 seconds.
Answer:D
Question: A motorist travel to a place 150 km away at an avearge speed of 50 km/hr and returns ar 30 km/hr. His average speed for the whole journey in km/hr is
A.35
B.37
C.37.5
D.40
Answer: C.37.5
Explanation: Solution
Average Speed	= (2xy/x +y )km/hr
=(2x50 x30/ 50+30)
= 37.5 km/hr.
Answer C
Question: An escalator moves towards the top level at the rate of 11 ft.sec and its length is 140 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
A.14 sec
B.10 sec
C.12 sec
D.8 sec
Answer: B.10 sec
Explanation: Explanation :
Time taken to cover the entire length = tot.dist/resultant speed = 140/ (11+3) = 10sec
Answer : B
Question: A sum fetched a total simple interest of Rs. 100 at the rate of 5 p.c.p.a. in 4 years. What is the sum?
A.800
B.600
C.500
D.1000
Answer: C.500
Explanation: Sol.
Principal = Rs. [100 * 100 / 5 * 4] = Rs. [10000 / 20] = Rs. 500.
Answer C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 12%?
A.20%
B.28%
C.27%
D.32%
Answer: D.32%
Explanation: SP2 = 2/3 SP1
CP = 100
SP2 = 88
2/3 SP1 = 88
SP1 = 132
100 --- 32 => 32%
Answer:D
Question: In a guess game , five friends had to guess the exact numbers of balls in a box.
Friends guessed as 31 , 35, 39 , 49 , 37, but none of guess was right.The guesses were off by 1, 9, 5, 3, and 9 (in a random order).
Can you determine the number of balls in a box ?
A.30 balls
B.35 balls
C.40 balls
D.45 balls
Answer: C.40 balls
Explanation: C
40 balls
Question: The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 5 and 6 slices per customer. How many slices cannot be bought?
A.48.
B.54.
C.62.
D.51.
Answer: D.51.
Explanation: Answer:	Let X pizzas of 5 slices and Y pizzas of 6 slices.
5X + 6Y.
Lets check options wise.
A. 48 => 5(6) + 6(3)
B. 54 => 5(6) + 6(4)
C. 62 => 5(10) + 6(2)
D. 51 => we can't write anything with 4 and 6 series..Lets try 5(6) + 6(3) = 48 , 5(8) + 6(2) = 52 , nothing works out
E. 22 => 5(2) + 6(2)
Answer: correct option is D
Question: There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was
A.20
B.37
C.28
D.11
Answer: A.20
Explanation: Explanation:
Numbers of students in section A = x
âˆ´ Numbers of students in section B and C = (100 â€“ x)
âˆ´ x 70 + (100 â€“ x) 87.5 = 84 100
=> 70x + 87.5 100 â€“ 87.5x = 8400
=> 8750 â€“ 17.5x = 8400
=> 17.5x = 8750 â€“ 8400 => x = 20.
Answer: A
Question: A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
A.6
B.7
C.8
D.9
Answer: B.7
Explanation: Explanation:
Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.
or 137 + x = 144 or x = 144 - 137 = 7. Answer: B
Question: Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully.
You are asked to measure forty five minutes using the two ropes. How will you achieve to do it?
A.30 minutes
B.40 minutes
C.50 minutes
D.60 minutes
Answer: B.40 minutes
Explanation: Solution:
Take both the ropes. Now light the first rope from both the ends. Light the second rope from just one end. In thirty minutes, the first rope will burn fully. At this point of time, the second rope will be left exactly half and you have to light it from the second end now. It will take half of the actual time (thirty minutes) to burn now i.e. fifteen minute.
Thirty Minutes + Fifteen minutes = Forty Minutes
Answer B
Question: If x and y are positive integers, and x^3*y^4 = 5488, which of the following is the value of xy?
A.6
B.10
C.14
D.15
Answer: C.14
Explanation: 5488 = 2*2744 = 2^2*1372 = 2^3*686 = 2^4*343 = 2^4*7^3
xy = 2*7 = 14
The answer is C.
Question: The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
A.2
B.1
C.6
D.7
Answer: B.1
Explanation: 6 * 22 = 132
7 * 19 = 133
--------------
1
Answer: B
Question: A car takes 12 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/4th of the previous time?
A.25Kmph
B.60Kmph
C.100Kmph
D.120Kmph
Answer: B.60Kmph
Explanation: Time = 12
Distence = 540
3/4 of 12 hours = 12 * 3/4 = 9 Hours
Required speed = 540/9 = 60 Kmph
B)
Question: find two integers, neither of which ends in a zero, and whose product is exactly 10,000
A.64 and 15,625
B.60 and 15,625
C.64 and 15,620
D.16 and 625
Answer: D.16 and 625
Explanation: 10,000=10^4
=10x10x10x10
=(2x5)x(2x5)x(2x5)x(2x5)
=(2^4)x(5^4)
= 16x625
so the numbers are 16 and 625
ANSWER:D
Question: If Tim had lunch at $50.50 and he gave 15% tip, how much did he spend?
A.$58
B.$60.60
C.$70.60
D.$40.60
Answer: A.$58
Explanation: The tip is 20% of what he paid for lunch. Hence
tip = 15% of 50.50 = (15/100)*50.50 = $7.575
Total spent
50.50 + 7.575 = $58
correct answer A
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 19 years replaced by a new boy. The age of the new boy is?
A.15 years 8 months
B.15 years
C.16 years 4 months
D.17 years 10 months
Answer: A.15 years 8 months
Explanation: Total decrease = (20 x 2) months
= 3 years 4 months
Age of the new boy
= 19 years - 3 years 4 months.
= 15 years 8 months.
ANSWER:A
Question: A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is
A.12Π cm3
B.15Π cm3
C.16Π cm3
D.20Π cm3
Answer: A.12Π cm3
Explanation: Solution
Clearly, we have r = 3cm and h = 4cm.
∴ Volume	= 1/3Πr2h
= (1/3 x Π x 32x4)cm3
= 12Πcm3.
Answer A
Question: A number when divided by the sum of 555 and 445 gives two times their difference the quotient and 30 as the remainder. The number is
A.1220
B.1250
C.22030
D.220030
Answer: D.220030
Explanation: Solution
Required number	= (555+445)×2×110+30
220000+30
‹=›220030.
Answer D
Question: A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A.3 hr
B.1 hr 30 min
C.2 hr 30 min
D.2 hr
Answer: C.2 hr 30 min
Explanation: Explanation:
A tap can fill a tank in 4 hours.
Therefore the tap can fill half the tank in 2 hours.
Remaining part =1/2
After half the tank is filled, three more similar taps are opened.
Hence, total number of taps becomes 4.
Part filled by one tap in 1 hour =1/4
Part filled by four taps in 1 hour =4×14=1
i.e., 4 taps can fill remaining half in 30 minutes.
Total time taken= 2 hour + 30 minute = 2 hour 30 minutes
Answer: Option C
Question: Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money Q would he earn per month?
A.$700
B.$754
C.$770
D.$782
Answer: C.$770
Explanation: OFFICIAL SOLUTION:
(C) If Bill’s salary increased by 16% he would earn $812. Algebraically, this can be written as:
$812 = 1.16S, where S is his current salary.
Then S = $812/1.16 = $700.
Now that we know his current salary is $700, we can calculate what his salary would be if it were increased by 10%. We know that 10% of $700 is $70, so his salary would be:
Q=$700 + $70 = $770.
The correct answer is choice (C).
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
A.298 m
B.279 m
C.827 m
D.150 m
Answer: D.150 m
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)/25 = x/15 => x = 150 m.
Answer:D