RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The population of a town is 10000. It increases annually at the rate of 10% p.a. What will be its population after 2 years?
A.12100
B.14400
C.14500
D.14600
Answer: A.12100
Explanation: Formula :
10000 × 110/100 × 110/100 = 12100
Answer : A
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $8.91 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discount rates is 22 percent, what is the discount rate on Pony jeans?
A.9%
B.10%
C.11%
D.12%
Answer: C.11%
Explanation: Let x be the discount on Pony jeans. Then 0.22-x is the discount on Fox jeans.
3(0.22-x)(15) + 2x(18) = 8.91
9.9 - 45x + 36x = 8.91
9x = 0.99
x = 0.11
The answer is C.
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 27 more than n. What is y in terms of x ?
A.x-3
B.x+3
C.x+5
D.x-10
Answer: B.x+3
Explanation: Original Digits=xy i.e. Number=10x+y
After reversing the digits:
Digits=yx i.e. Number=10y+x
10y+x is 27 more than 10x+y
10x+y+27=10y+x
10x-x+27=10y-y
9x+27=9y
x+3=y
OR
y=x+3
Answer : B
Question: 6x + 2y = -4
4x + y = 1
In the system of equations above, what is the value of x?
A.5
B.4
C.3
D.2
Answer: C.3
Explanation: 6x + 2y = -4 can be written as 3x + y = -2
Let's subtract the second equation from this equation.
-x = -3
x = 3
The answer is C.
Question: One pump drains one-half of a pond in 7 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
A.1 hour
B.1.1 hour
C.3 hours
D.5 hours
Answer: B.1.1 hour
Explanation: First pump drains 1/2 of the tank in 7 hours
so 14 hours it will take to drain the full tank.
Let, 2nd pump drains the full tank in a hours
so both together can drain (1/14+1/a) part in 1 hour
son in 1/2 hour they drain 1/2*(1/14+1/a) part of the tank
given that in 1/2 hour they drain 1/2 of the tank
hence we can say
1/2*(1/14+1/a) = 1/2
solving u get a = 14/13=1.1
Hence answer is B
Question: A shopkeeper buys mangoes at the rate of 9 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
A.33 4/3 %
B.33 1/7 %
C.200/3 %
D.32 1/3 %
Answer: C.200/3 %
Explanation: The total number of mangoes bought by the shopkeeper be 27.
If he buys 9 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 9
Profit = SP - CP = 9 - 3 = 6
Profit Percent = 6/9 * 100 = 200/3 %
Answer:C
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
A.17 kg
B.20 kg
C.26 kg
D.31 kg
Answer: D.31 kg
Explanation: Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 .... (i)
A + B = (40 x 2) = 80 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)
Subtracting (i) from (iv), we get : B = 31.
B's weight = 31 kg.
Answer: Option D
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
A.3.34
B.3.349
C.3.348
D.3.37
Answer: A.3.34
Explanation: Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m
Answer: A
Question: [1/(1.2.3)] + [1/(2.3.4)] + [1/(3.4.5)] + [1/(4.5.6)] is equal to
A.7 / 30
B.11 / 30
C.13 / 30
D.17 / 30
Answer: A.7 / 30
Explanation: Answer
Given Exp. = [(4 x 5 x 6) + (5 x 6) + (2 x 6) + (2 x 3)] / [(2 x 3 x 4 x 5 x 6)]
= 168 / (24 x 30)
= 7 / 30
Correct Option: A
Question: A man purchased a fan and a tv for Rs. 5000 &Rs. 10000 respectively. He sold the fan at a loss of 6% and the tv at a profit of 12%. Overall how much he make a profit.
A.100
B.300
C.900
D.600
Answer: C.900
Explanation: Let the SP of the fan and the tv be Rs. r and Rs. m respectively.
r = 5000(1 - 6/100) = 5000 - 300
m = 10000(1 + 12/100) = 10000 + 1200
Total SP - Total CP = r + m - (15000 + 8000) = -300 + 1200 = Rs. 900
As this is positive, an overall profit of Rs. 900 was made.
C
Question: Java House charges $3.25 for a cup of coffee that costs a total of $2.85 to make. Cup'O'Joe charges $2.80 for a cup that costs $2.65 to make. If Java House sells 24,000 cups of coffee, how many must Cup'O'Joe sell to make at least as much in total gross profit as its competitor does?
A.7,858
B.8,301
C.14,667
D.64,000
Answer: D.64,000
Explanation: Java: Profit/Cup = 3.25-2.85 = 0.4
: No of Cups = 24,000
: Gross Profit = 24,000*0.4 = 9,600
Joe: Profit/Cup = 0.15
: Gross Profit = 9,600
: No of Cups = 9,600/0.15 = 64000
Answer D
Question: Tickets numbered from 1 to 27 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
A.1/3
B.2/5
C.3/10
D.3/7
Answer: A.1/3
Explanation: Here, S = [1, 2, 3, 4, …., 19, 20, 21, 22, 23, 24, 25, 26, 27]
Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18, 21, 24, 27]
P (E) = n (E) / n (S) = 9 / 27 = 1/3
The answer is A.
Question: If a man walks to his office at 5/4 of his usual rate, he reaches office 30 minutes early than usual. What is his usual time to reach office.
A.2 hrs
B.2 1⁄2 hrs
C.1 hr 50 min
D.2 hrs 15 min
Answer: B.2 1⁄2 hrs
Explanation: usual time × (4⁄5 - 1) = -30⁄60
⇒ usual time = 1⁄2 × 5 = 21⁄2 hrs
Answer B
Question: A bag contains 4 white,5 red and 6 blue balls.Three balls are drawn at random from the bag.the probability that all of them are red are????
A.1/91
B.3/91
C.4/91
D.2/91
Answer: D.2/91
Explanation: 5c3/15c3=455/10=2/91
ANSWER:D
Question: The average of six numbers is 3.55. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
A.4.7
B.4.6
C.4.2
D.3.4
Answer: D.3.4
Explanation: Explanation:
Sum of the remaining two numbers = (3.55 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 21.30 - (6.8 + 7.7) = 21.30 - 14.5 = 6.8.
Required average = (6.8 / 2) = 3.4.
Answer: D) 3.4
Question: A group of five girls and three boys have tickets for seven adjacent seats in one row of a theater. If the three boys will not sit in three adjacent seats, how many possible different seating arrangements are there for these 8 theatre-goers?
A.8! – 2!3!2!
B.8! – 6!3!
C.8 × 2!3!2!
D.8! – 5!3!
Answer: B.8! – 6!3!
Explanation: There are 3 boys and 4 girls , we want to calculate the seating arrangements if three boys do not sit together, like MMM.
Let's calculate the # of arrangements when they SIT together and subtract from total # of arrangements of these 8 persons without restriction. Thus we'll get the # of arrangements asked in the question.
1. Total # of arrangements of 8 is 8!.
2. # of arrangements when 3 boys are seated together, like MMM;
Among themselves these 3 boys can sit in 3! # of ways,
Now consider these 3 boys as one unit like this {MMM}. We'll have total of 6 units: {MMM}{W}{W}{W}{W}{W}. The # of arrangements of these 5 units is 5!.
Hence total # of arrangements when 3 men sit together is: 3!6!.
# of arrangements when 3 boys do not sit together would be: 8!-3!6!.
Answer: B).
Question: 20 men can complete a piece of work in 30 days. In how many days can 25 men complete that piece of work?
A.23
B.27
C.24
D.27
Answer: C.24
Explanation: 20 * 30 = 25 * x => x = 24 days
Answer:C
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
A.3.5
B.6
C.8
D.7
Answer: C.8
Explanation: Let the number be x. Then,
3(2x + 9) = 75
2x = 16 => x = 8
ANSWER:C
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 2 * 9 =?
A.65
B.68
C.72
D.23
Answer: D.23
Explanation: (9 * 2) + 5 = 23
D
Question: On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 40% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
A.10.5%
B.12.5%
C.16.7%
D.25%
Answer: C.16.7%
Explanation: suppose there are X motorists.
10% of them exceeded the speed limit and received the ticket, i.e. X/10.
Again, suppose total no. of motorists who exceeded the speed limit are Y.
40% of Y exceeded the speed limit but didn't received the ticket, i.e. 2Y/5.
it means 3Y/5 received the ticket.
hence, 3Y/5 = X/10
or Y/X=1/6
or Y/X * 100= 1/6 * 100= 16.7%
C
Question: Look at this series: V, VIII, XI, __, XVII, XX, ... What number should fill the blank?
A.IX
B.XXIII
C.XV
D.XIV
Answer: D.XIV
Explanation: Explanation: This is a simple addition series; each number is 3 more than the previous number.
Answer: D
Question: When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg were consumed per month before, find the new monthly consumption.
A.20 kg
B.25 kg
C.30 kg
D.35 kg
Answer: B.25 kg
Explanation: Since, expenditure = price × consumption
∴ 110% of 30 = 132⁄100 × new consumption
⇒ 110⁄100 × 30 = 132⁄100 × new consumption
⇒ New consumption = 25 kg
Answer B
Question: An article is bought for Rs.805 and sold for Rs.900, find the gain percent?
A.12.8%
B.17.8%
C.15.8%
D.11.8%
Answer: D.11.8%
Explanation: 805 ---- 95
100 ---- ? => 11.8%
Answer:D
Question: a person travels from his house to office from 11:10am to 12:10 am and covers a distence of 15.4km. find the average speed of the person.
A.20.1km/h
B.15.4km/h
C.21.1km/h
D.22.1km/h
Answer: B.15.4km/h
Explanation: time=12:10-11:10=1 hour
distance = 15.4 km
speed=15.4*1=15.4 km/h
ANSWER:B
Question: In a class, the average age of 45 boys is 10 years and the average of 15 girls is 10 years. what is the average age of the whole class?
A.12 Years
B.12.3 Years
C.10 Years
D.13 Years
Answer: C.10 Years
Explanation: Total age of 60 students
(45X 10+15 X 10) = 630
Average = 600/60 = 10 Years
C
Question: Ten years ago, the age of Peter was one-third the age of Jacob at that time. The present age of Jacob is 12 years more than the present age of Peter. Find the present age of Peter?
A.15
B.11
C.18
D.16
Answer: D.16
Explanation: D
16
Let the present ages of Peter and Jacob be 'a' and 'b' respectively.
a - 10 = 1/3 (b - 10) --- (1)
b = a + 12
Substituting b = a + 12 in first equation,
a - 10 = 1/3 (a + 2) => 3a - 30 = a + 2
=> 2a = 32 => a = 16.
Question: There are 3 couples. If they will sit 6 chairs in a row such that each couple sits side by side, how many possible cases are there?
A.48
B.240
C.1,200
D.2,460
Answer: A.48
Explanation: Tie the couples. Then we have 3 persons that have to be arranged in 3 places. 3! ways.
Now the couples can change position with each other. 2! ways.
3! * (2!)^3 = 6*8= 48
Answer is A.
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 2 years ?
A.3277
B.2977
C.22500
D.6077
Answer: C.22500
Explanation: Explanation: 40,000*(3/4)^2
Answer:C
Question: a dealer buys 4 varieties of rice costing rs. 40,rs.50,rs.60 and rs.70 per kg in the ratio 4:5:3:2 and mixes all the four varieties and sells at 40% profit. What is the selling price per kg of rice?
A.72
B.73
C.74
D.75
Answer: B.73
Explanation: CP = 40*4+50*5+60*3+70*2 = 730
SP = 1.4*730=1022
Total no.of kgs=4+5+3+2=14
SP per kg=1022/14 = 73
ANSWER:B
Question: If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?
A.78 paise
B.48 paise
C.54 paise
D.62 paise
Answer: B.48 paise
Explanation: Explanation:
Quarter of Kg means 250 gm
Less weight, less price (Direct Proportion)
So,
250 : 200 :: 60 : x => x = 48
So 200 gm will cost 48 paise.
Answer IS B
Question: Q is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can Q be?
A.300,000
B.349,999
C.350,000
D.399,999
Answer: B.349,999
Explanation: Q 1,000,000-300,000=700,000 integers
700,000/2= 350,000 even integers.
350,000+1 inclusive. But since 1,000,000 and 300,000 are not included.
350,001-2=349,999
B
Question: Difference of two numbers is 1660. If 7.5% of the number is 12.5% of the other number , find the number ?
A.2660, 1000
B.3660, 2000
C.3000, 4160
D.2490, 4150
Answer: D.2490, 4150
Explanation: Let the numbers be x and y. Then, 7.5 % of x =12.5% of y
X = 125*y/75 = 5*y/3.
Now, x-y =1660
5*y/3 –y =1660
2*y/3= 1660
y =[ (1660*3)/2] =2490.
One number = 2490, Second number =5*y/3 =4150.
Answer D.
Question: A bowl was filled with 10 ounces of milk, and 0.008 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period?
A.0.004%
B.0.04%
C.4%
D.40%
Answer: C.4%
Explanation: Total amount of milk evaporated each day during a 50-day period = .008 * 50
=.008 * 100/2
= .8/2
= .4
percent of the original amount of milk evaporated during this period = (.4/10) * 100%
= 4 %
Answer C
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
A.300
B.800
C.500
D.600
Answer: B.800
Explanation: Area of the square = s * s = 5(125 * 64)
=> s = 25 * 8 = 200 cm
Perimeter of the square = 4 * 200 = 800 cm.
Answer: Option B
Question: A statue is being carved by a sculptor. The original piece of marble weighed 180 kg. In the first week 28 percent is cut away. In the second week 18 percent of the remainder is cut away. In the third week the statue is completed when 20 percent of the remainder is cut away. What is the weight of the final statue?
A.105 kg
B.85 kg
C.108 kg
D.125 kg
Answer: B.85 kg
Explanation: B
85 kg
180 Ã— 0.72Ã— 0.82Ã— 0.8 = 85 kg.
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $5.50. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
A.$960
B.$1,350
C.$1,650
D.$2,050
Answer: C.$1,650
Explanation: Total Volume is 288000
Given LBH = 8*10*12.
the number of hats inside it = 288000/10 * 8 * 12 = 300.
price of each hat is 5.5 $ then total value is 300 * 5.5 = 1650.
IMO option C is correct answer..
Question: A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year
A.5624.32
B.5624.39
C.5654.32
D.5624.38
Answer: A.5624.32
Explanation: Explanation:
5% is the rate of interest. 20% of the interest amount is paid as tax.
i.e 80% of the interest amount stays back.
if we compute the rate of interest as 80% of 5% = 4% p.a., we will get the same value.
The interest accrued for 3 years in compound interest = 3 x simple interest on principal + 3 x interest on simple interest + 1 x interest on interest on interest.
= 3 x (200) + 3 x (8) + 1 x 0.32 =600 + 24 + 0.32 = 624.32
The amount at the end of 3 years = 5000 + 624.32 = 5624.32
Answer: A) Rs.5624.32
Question: In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?
A.2 years
B.3 years
C.4 years
D.7 years
Answer: B.3 years
Explanation: Solution
Principal	= Rs.1000;
Amount	= Rs.1331;
Rate	= Rs.10%p.a.
Let the time be n years.Then
[1000(1+10/100)Λn;]
= 1331.
= (1331/1000)
= (11/10)³
Therefore n = 3 years.
Answer B
Question: In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?
A.63
B.90
C.126
D.45
Answer: A.63
Explanation: Required number of ways=7c5 x 3c2
=7c2 x 3c1
=63
ANSWER A 63
Question: Suppose you flip a fair coin three times. What is the probability that, in three flips, you get at least one head?
A.15/8
B.7/8
C.13/8
D.3/8
Answer: B.7/8
Explanation: Best way of solving an at least 1 type of question is to compute 1 - probability of flipping 0 heads
probability of flipping either a head or a tail = 1/2
probability of flipping 3 tails in a row (1/2)^3
probability of flipping at least 1 head = 1 - (1/2)^3 = 7/8
Answer : B
Question: At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
A.(54 + 6/11) past 9
B.(54 + 6/11) past 1
C.(54 + 6/11) past 2
D.(54 + 6/11) past 4
Answer: D.(54 + 6/11) past 4
Explanation: 4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min
50 min. spaces are gained in min. or
Required time = min. past 4.
Answer: D
Question: In a certain random experiment, exactly one of the outcomes A, B, and C will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and C will occur twice?
A.5/243
B.1/12
C.10/81
D.1/6
Answer: C.10/81
Explanation: Given that P(A) = P(B) = P(C) = 1/3.
P(AABBCC) = (13)^6∗6!2!2!2!=1081 we multiply by 6!/(2!2!2!) because AABBCC scenario can occur in several ways: AABBCC, AABCBC, AACBBC, ... (the number of permutations of 6 letters AABBCC is 6!(2!2!2!)).
Answer: C.
Question: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 20 more photos than Claire. How many photos has Claire taken?
A.6
B.8
C.10
D.12
Answer: C.10
Explanation: L = R
L = 3C
R = C + 20
3C = C + 20
C = 10
The answer is C.
Question: A 290 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
A.210m
B.220m
C.230m
D.240m
Answer: A.210m
Explanation: Relative speeds=(120+80)km/hr
=200km/hr=(200*5/18)m/s=(500/9)m/s
let length of train be xm
x+290/9=500/9
x=210
Ans is 210m
ANSWER:A
Question: A person sells a book for Rs. 11. He gains as many percent as its cost price in rupees. What is the cost price?
A.Rs. 19
B.Rs. 12
C.Rs. 10
D.Rs. 11
Answer: C.Rs. 10
Explanation: ANSWER: C
Question: In a race with 11 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?
A.35
B.120
C.720
D.990
Answer: D.990
Explanation: Well in this case since there are 3 positions and they can be taken by 3 persons only ,so order matters over here .For gold there are 11 choices ,for silver 10 remain (one who got gold cannot be given silver) and for bronze 9 choices remain.
So total possibilities=11*10*9=990
Correct answer D=990
Question: The averge score of a cricketer for ten matches is 45 runs. If the average for the first six matches is 48. Then find the average for the last four matches?
A.43.25
B.43
C.38
D.40.5
Answer: D.40.5
Explanation: sum of last 4 matches = ((10 × 45) – (6 × 48)= 162
Average =
162/4
= 40.5
ANSWER:D
Question: The dividend is 208, the quotient is 8 and the remainder is 2.
What is the divisor?
A.22
B.24
C.26
D.28
Answer: B.24
Explanation: D = d * Q + R
208 = d * 8 + 2
208/8 = d + 2
26 = d + 2
26-2 = d
24 = d
Answer: B
Question: A gambler has won 40% of his 20 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 80% of the time, how many more games must he play to end up winning 60% of all his games for the week?
A.20
B.25
C.30
D.35
Answer: A.20
Explanation: Let x be the number of additional games the gambler needs to play.
0.4(20) + 0.8x = 0.6(x+20)
0.2x = 4
x = 20
The answer is A.
Question: The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
A.40
B.50
C.60
D.70
Answer: C.60
Explanation: lb = 20 ; lh = 15 ; fh = 12
(lbh)2 = 20 * 15 * 12 => lbh = 60 m3
Answer: Option C
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
A.1
B.4
C.6
D.8
Answer: D.8
Explanation: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.
Hence, n=2mn=2m, where mm is a positive integer. Then,
(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)
=4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8
Hence, the answer is (D).
Question: Find the fourth proportion to 4,8,12
A.6
B.12
C.18
D.24
Answer: D.24
Explanation: Explanation:
4:8 :: 12:x
=> 4/8= 12/x
=> x = 12*8/4
=> x = 24
Answer:D
Question: Find the sum of first 20 multiples of 12.
A.2520
B.3878
C.2778
D.27
Answer: A.2520
Explanation: Sum of first 20 multiples of 12 are = (12×1) + (12×2) + (12×3) + . . . . . . + (12×19) + (12×20). = 12 (1+2+3+ . . . . . + 20)
Use the formula:
n(n+1) 2
⇒
12×(20×21) 2
=2520.
Answer:A
Question: The cost of the paint is rs.40 per kg. if 1kg of paint covers 20 sq.ft, how much will it cost to paint outside of a cube having 30 feet each side
A.Rs.962
B.Rs.672
C.Rs.546
D.Rs.10800
Answer: D.Rs.10800
Explanation: Explanation:
surface area of a cube= 6 x 30^2 = 5400 sq.ft
quantity of paint required=(5400/20)=270 kg
cost of painting= 40 x 270 = Rs.10800
Answer: D
Question: An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
A.5 hrs 20 min
B.6 hrs 21 min
C.6 hrs 24 min
D.6 hrs 30 min
Answer: B.6 hrs 21 min
Explanation: Sol.
Time taken to cover 600 km = (600 / 100) hrs = 6 hrs.
Number of stoppages = 600 / 75 - 1 = 8 -1 = 7.
Total time of stoppages = (3x7) min = 21 min.
Hence, total time taken = 6 hrs 21 min.
Answer B
Question: Betty leaves her home and walks toward Dave's house. Two hours later, Dave leaves his home and walks toward Betty's house. The distance between their homes is 36 kilometers, Betty's walking speed is 4 km/h, and Dave's walking speed is 3 km/h. How many kilometers will Betty walk before she meets Dave?
A.18
B.20
C.22
D.24
Answer: D.24
Explanation: Betty walks 8 km in the first two hours so there are 28 km remaining.
When Dave starts walking, they complete a total of 7 km per hour.
They will meet four hours after Dave starts walking.
Since Betty walks for 6 hours, she walks 24 km.
The answer is D.
Question: James has a total of 560 balls. 140 balls are yellow, 250 balls are blue, and 170 balls are red. What percentage of the balls are yellow ?
A.45 %
B.30 %
C.25 %
D.55 %
Answer: C.25 %
Explanation: Explanation :
Yellow Percentage = (140/560 x 100)%
= 25%
Answer : C
Question: nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 14 cm?
A.235cm2
B.260cm2
C.266cm2
D.270cm2
Answer: C.266cm2
Explanation: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (14)
= 266 cm2
Answer:C
Question: Daniel went to the store 5 times last month. He buys 8 tickets and 14 bottle caps each time he goes to the store. How many tickets did Daniel buy last month?
A.25
B.14
C.40
D.33
Answer: C.40
Explanation: 8*5=40.Answer is C.
Question: A man entered a store and spent one-half of the money that was in his pocket. When he came out he found that he had just as many cents as he had dollars when he went in and half as many dollars as he had cents when he went in. How much money did he have on him when he entered?
A.$95.98
B.$77.98
C.$99.98
D.$65.98
Answer: C.$99.98
Explanation: C
$99.98
The man must have entered the store with $99.98 in his pocket.