RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.68?
A.5
B.6
C.4
D.3
Answer: D.3
Explanation: for the 1st no. there are 2 digits after decimal
for the 2nd no. there are 2 digits after decimal
total no. of decimals = 4
req. no. of digits=(n-1)=(4-1)=3
ANSWER :D
Question: A man buys a cycle for Rs. 1600 and sells it at a loss of 15%. What is the selling price of the cycle?
A.1410
B.1420
C.1360
D.1440
Answer: C.1360
Explanation: S.P. = 85% of Rs. 1600 = 85/100 x1600= Rs. 1360
answer : C
Question: The average earning of amechanic for the first 4days of a week is Rs.53 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
A.s. 10
B.s. 20
C.s. 30
D.s. 40
Answer: D.s. 40
Explanation: Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day
= 4 x 53 + 4 x 22 -20
= Rs. 280
âˆ´ Average earning = 280/ 7
= Rs. 40
D
Question: A certain collage has total of 410 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
A.60
B.90
C.70
D.80
Answer: B.90
Explanation: Answer is B.
Six majors are as follows: a + b + c + d + e + f
Each has at least 20 seniors: 20 + 20 + 20 + 20 + 20 + 20
4 of the majors have 300 seniors: a + b + c +d = 300
There are a total of 410 seniors.
So e + f = 120. One of the subjects has to be 20 for the other to be maximized. If e = 20, then f =90.
B
Question: The volumes of two cones are in the ratio 1 : 15 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
A.3:5
B.3:9
C.3:2
D.2:2
Answer: A.3:5
Explanation: The volume of the cone = (1/3)πr2h
Only radius (r) and height (h) are varying.
Hence, (1/3)π may be ignored.
V1/V2 = r1^2 . h1/r2^2. h2 => 1/15
= (1)^2h1/(2)^2h2
=> h1/h2 = 3/5
i.e. h1 : h2 = 3:5
Answer: A
Question: What is the smallest no. which must be added to 27452 so as to obtain a sum which is divisible by 9?
A.7
B.2
C.9
D.4
Answer: A.7
Explanation: For 27452 , 2+7+4+5+2=20.
7 must be added to 27452 to make it divisible by 9.
Now , 2+7+4+5+9=27 => 27 is a multiple of 9 and hence 27452 is also divisible by 9
A
Question: The monthly rent of a shop of dimension 10feet × 10feet is Rs.1300. What is the annual rent per square foot of the shop?
A.43
B.156
C.68
D.87
Answer: B.156
Explanation: Sol. Monthly rent per square feet = 1300/(10*10) = 13
& Annual rent per square feet
=12*13=156
Answer : B
Question: For every integer n ≥ 3, the function h(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of h(102) – h(101)?
A.102
B.0
C.101
D.98
Answer: B.0
Explanation: h(101) = 1*3*5*7*9*...*99*101
h(102) = 1*3*5*7*9*...*99*101
They are going to be the same. Hence their difference will be 0
hence:B
Question: A boy swims downstream 48 km and upstream 12 km taking 6 hours each time; what is the speed of the current?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: 48 --- 6 DS = 8
? ---- 1
12 ---- 6 US = 2
? ---- 1 S = ?
S = (8 - 2)/2 = 3
Answer: C
Question: Which of the following integers has the most number of divisors?
A.176
B.182
C.99
D.101
Answer: A.176
Explanation: Explanation:
99 = 1 × 3 × 3 × 11
=> Divisors of 99 are 1, 3, 11, 9, 33 and 99
101 = 1 × 101
=> Divisors of 101 are 1 and 101
182 = 1 × 2 × 7 × 13
=> Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182
176 = 1 × 2 × 2 × 2 × 2 × 11
=> Divisors of 176 are 1, 2, 11, 4, 22, 8, 44, 16, 88, 176
Hence 176 has most number of divisors.
Answer: Option A
Question: In western Europe, C bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
A.9% of (x/100)
B.14% of (x/100)
C.75% of (x/100)
D.9% of x
Answer: D.9% of x
Explanation: Moreover is't question actually asking the the difference between the {(Quantity Produced + Quantity Sold ) C in 1990 - (Quantity Produced + Quantity Sold ) in 1993}
Though the Quantity sold in both the years is same it actually boils down to (Quantity Produced in 1990 ) in (Quantity Produced in 1993)=D
Question: In what ratio must tea at Rs. 62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg?
A.3 :1
B.2:1
C.4:1
D.1:3
Answer: A.3 :1
Explanation: C.P of a unit quantity of 1st kind = Rs. 62
C.P of a unit quantity of 2nd kind = Rs. 72
Mean price = Rs. 64.50
C.P of a unit quantity of 1st kind - Mean price =64.50-62= 2.50
C.P of a unit quantity of 2nd kind - Mean price = 72-64.50 =7.50
Required ratio = 7.50 : 2.50 = 3 : 1
Answer:A
Question: During a Thanksgiving weekend, a car rental company rented eight-tenths of their vehicles, including three-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
A.20%
B.30%
C.40%
D.60%
Answer: A.20%
Explanation: 2/10 of all the vehicles were not rented.
(2/5)(2/5) = 4/25 of all the vehicles are 4WDs that were not rented.
(4/25) / (2/10) = 4/5 is the fraction of non-rented vehicles that were 4WDs
1 - 4/5 = 20% of non-rented vehicles were not 4WDs.
The answer is A.
Question: The greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is:
A.170
B.130
C.150
D.120
Answer: A.170
Explanation: Explanation:
690 -10= 680, 875 – 25 = 850
Highest number that can divide 680 and 850 exactly is HCM of the numbers.
HCF of 680 and 850 = 170
Answer:A
Question: If a person walks at 14 miles/hr instead of 10 miles/hr, he would have walked 20 miles more. The actual distance traveled by him is:
A.20 miles
B.50 miles
C.30 miles
D.25 miles
Answer: B.50 miles
Explanation: Let the actual distance traveled be x km.
Then, X/10 = (X + 20)/14 ==> 14X = 10X + 200 ==> 4X = 200
X = 50.
Answer B) 50 miles.
Question: The first five numbers in a regular sequence are 4, 11, 25, 53, and 109. What is the next number in the sequence?
A.142
B.221
C.176
D.182
Answer: B.221
Explanation: it is a good Q to learn to pick up number properties in the given set, even if we do not get a Q on these line in actuals..
when we see the sequence 4, 11, 25, 53, and 109, we see that each succeeding number is some value more than twice the previous number..
10=2*4+3..
22=2*10+3..
and so on..
so next number= 2*109+3=221..
B
Question: A report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closest to
A.20
B.5
C.30
D.35
Answer: A.20
Explanation: Explanation :
Total no of characters= 20 * 55 * 65.
From the problem it is clear that 20 * 55 * 65 = x * 65 * 70.
we get x= 15.6 ∼ 16 because these are sheets.
therefore 4 less sheets.
Hencde, there is 20% decrease in number of sheets.
Answer : A
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
A.700
B.720
C.800
D.820
Answer: B.720
Explanation: Option 'B'
Question: The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is?
A.625
B.827
C.657
D.726
Answer: A.625
Explanation: Let the sum be Rs. x. Then,
[x (1 + 4/100)2 - x] = (676/625 x - x)
= 51/625 x
S.I. = (x * 4 * 2)/100 = 2x/25
51x/625 - 2x/25 = 1 or x
= 625.
Answer: A
Question: In a certain city, 70 percent of the households have cable television, and 60 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:
A.45,000 to 90,000 inclusive
B.30,000 to 120,000 inclusive
C.60,000 to 90,000 inclusive
D.60,000 to 120,000 inclusive
Answer: A.45,000 to 90,000 inclusive
Explanation: The maximum percentage with both is 60% which is 90,000 households.
This means that every household with a recorder also has cable television.
The minimum percentage with both is 30% which is 45,000 households.
This means that 30% of households have only recorders but not cable television.
The other 30% of households with recorders have cable television.
The answer is A.
Question: A cyclist traveled for two days. On the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 210 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
A.5 mph
B.10 mph
C.20 mph
D.30 mph
Answer: D.30 mph
Explanation: SOLUTION:
D = 280 Mi
T = 12 hrs
Day 1 time = T1
Day 2 time = T2
T2 - T1 = 4 hrs ----- (I)
T1 + T2 = 12 hrs ----- (II)
Adding I and II, T2 = 8 hrs and T1 = 4 hrs
Day 1 Rate = R1
Day 2 Rate = R2
R1 - R2 = 10 mph
i.e. R1 = 10 + R2
280 = 8R2 + 4R1
i.e. 280 = 8R2 + 4 (10 + R2)
i.e. R2 = 20 mph
ANSWER: D
Question: If 853,845 bars of chocolate need to be placed in little boxes and each box can contain at most 9 bars of chocolate. How many bars of chocolate will be in the last unfilled box?
A.1
B.3
C.5
D.6
Answer: D.6
Explanation: The number of bars of chocolate that can be placed in the little boxes of 9 bars is the first number that is divisible by 9 that occurs before 853,845.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 853,845 = 33 and 27 is divisible by 9.
Hence, we need to remove 6 to this number for it to be divisible by 9
Correct Option: D
Question: For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,3), what are the coordinates of the remaining vertex?
A.(3,4)
B.(3,9)
C.(4,9)
D.(6,4)
Answer: B.(3,9)
Explanation: Let (a,b) be the remaining vertex.
x: 0 + 6 + a = 3*3. Then a = 3.
y: 0 + 0 + b = 3*3. Then b = 9.
The answer is B.
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A.65
B.77
C.24
D.71
Answer: C.24
Explanation: Explanation:
B = 1/8 â€“ 1/2 = 1/24 => 24 days
Answer:C
Question: Find the sum of all 4 digit numbers formed using digits 1,2,5,6.
A.93324
B.92324
C.93424
D.93424
Answer: A.93324
Explanation: (n-1)! * (111...n) *(sum of the digits)
=(4-1)!*1111*(1+2+5+6)
=93324
ANSWER:A
Question: Excluding stoppages, the speed of a bus is 65 kmph and including stoppages, it is 48 kmph. For how many minutes does the bus stop per hour?
A.70 min
B.15 min
C.20.4 min
D.15.6 min
Answer: D.15.6 min
Explanation: D
15.6 min
Due to stoppages, it covers 17 km less.
Time taken to cover 17 km = (17/65 x 60) min = 15.6 min
Question: If pqr = 0 , qrs = 0 , and spr = 1, which of the following must be zero?
A.P
B.Q
C.R
D.S
Answer: B.Q
Explanation: prs = 1 which means neither p / r/s is 0
rsx q = 0 , we know r and s are is not 0 from above hence q must be 0.
q x p x r = 0, we know from first expression that p and r are not 0 hence q =0.
option B
Question: The average weight of 8 persons increases by 1.5kg when a person weighting 65kg is replaced by a new person. What could be the weight of the new person?
A.67kg
B.77kg
C.87kg
D.97kg
Answer: B.77kg
Explanation: Explanation:
Let the average weight of 8 persons be ‘x’
years and the age of the new person be ‘y’ years
so, (8x – 65 + y) / 8 = x+1.5
so, y = 77kgs
65 + 8X1.5 = 77kgs
Answer B
Question: If xy = 3(x + 1) + y and x and y are integers, x could be any of the following values EXCEPT:
A.2
B.8
C.4
D.3
Answer: B.8
Explanation: xy = 3(x + 1) + y
xy - y = 3(x + 1)
y = 3(x + 1)/(x-1)
y won't be an integer only if x = 8 (from the options).
Answer: B
Question: If x is negative and y is positive, which of the following cannot be positive?
A.x/y
B.-x*y
C.-x/y
D.x^2+y
Answer: A.x/y
Explanation: - /+ = -
x/y is negative.
Answer : A
Question: A man's basic pay for a 40 hour week is Rs.20. Overtime is paid for at 25% above the basic rate. In a certain week he worked overtime and his total wage was Rs.25. He therefore worked for a total of :
A.45 hours
B.47 hours
C.48 hours
D.50 hours
Answer: C.48 hours
Explanation: Explanation:
Basic rate per hour = Rs.(20/40)= Rs.1/2
Overtime per hour = 125% of Rs.1/2=125/100×1/2=Rs.5/8
Suppose he worked x hours overtime.
Then,20+5/8x=25 or 5/8x=5
x=5×8/5=8 hours
So he worked in all for (40+8) hours = 48 hours.
Correct Option: C
Question: A certain auto manufacturer sold 6% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.6 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
A.17,00,000
B.18,00,000
C.20,00,000
D.25,00,000
Answer: D.25,00,000
Explanation: Let's assume in 2006 the manufacturer sold X.
In 2007 he sold X-6/100(X)
If sales in 2006,X= 2.6 million find X-6/100(X)
(2.6 x 10^6)-6/100(2.6 x 10^6)
2600000-1,56,000=24,44,000-----> 25,00,000(approx)
Answer-D
Question: Marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 30%. What percent of the projected revenue was the actual revenue ?
A.50%
B.58%
C.62.5%
D.64%
Answer: A.50%
Explanation: Last year revenue = 100 (assume);
This year revenue = 70;
Projected revenue = 140.
Actual/Projected*100=70/140*100 = 50%.
Answer: A.
Question: A die is rolled twice. What is the probability of getting a sum equal to 12?
A.1/36
B.1/9
C.1/7
D.1/24
Answer: A.1/36
Explanation: Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces)
Hence, total number of outcomes possible when a die is rolled twice, n(S) = 6 × 6 = 36
E = Getting a sum of 12 when the two dice fall = {(6, 6)}
Hence, n(E) = 1
P(E) = n(E)/n(S)
=1/36
=1/36
Answer : Option A
Question: (2.3)(0.001)(2.2)(0.01)=?
A.0.000506
B.0.00506
C.5.06e-05
D.0.506
Answer: C.5.06e-05
Explanation: Divide the four terms into two,(2.3)(0.001)*(2.2)(0.01).
2.3*0.001 gives a value 0.0023 and 2.2*0.01 gives 0.022(remember that the place value should be placed carefully)
0.0023*0.022 = multiply 23 and 22 gives 506.. the number of digits could be move 7 places..
so, the answer will be 0.0000506
The answer is option C
Question: A man can row his boat with the stream at 6 km/h and against the stream in 3 km/h. The man's rate is?
A.1.5 kmph
B.4 kmph
C.5 kmph
D.7 kmph
Answer: A.1.5 kmph
Explanation: DS = 6
US = 3
S = ?
S = (6 - 3)/2 = 1.5 kmph
Answer: A
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1000 m long?
A.220 Sec
B.190 Sec
C.167 Sec
D.197 Sec
Answer: A.220 Sec
Explanation: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 2200 m
T = D/S
T = 2200/10
T = 220 Sec
Answer: A
Question: If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?
A.20%
B.40%
C.60%
D.80%
Answer: B.40%
Explanation: Soln:-
1,500*1.2 = 1,800.
1,800(1 - y/100) = 1,080 --> (1 - y/100) = 0.6 --> y = 40%.
ANSWER:B
Question: Working alone, machine X can manufacture 1,000 nails in 10 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
A.3 9/17
B.5 1/3
C.2
D.7 1/5
Answer: C.2
Explanation: rate of machine x = 1000/10
(1000/10 + y)5=1000
y=500/5=100
100 * t = 1000
t=1000*1/500
C. 2
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A.16 2/9%
B.16 8/3%
C.16 2/3%
D.132 2/3%
Answer: C.16 2/3%
Explanation: 10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
Answer:C
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.20 lacs . How many workers were they?
A.220
B.400
C.500
D.560
Answer: B.400
Explanation: N * 50 = (320000 - 300000) = 20000
N = 20000 / 50
= 400
B
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 S of the interns report no feelings of tiredness during their shifts?
A.6
B.14
C.19
D.20
Answer: C.19
Explanation: < 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 S= 5 + 14 = 19.
Answer: C.
Question: Out of 410 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 ?
A.120
B.150
C.100
D.140
Answer: D.140
Explanation: n(A)=325,n(B)=175,n(AuB)=410-50=360.
Required number = n(AnB)=n (A)+n (B)-n(AuB)=325+175-360=140.
Answer is D
Question: Joe invested a certain sum of money in a simple interest bond whose value grew to $310 at the end of 3 years and to $410 at the end of another 5 years. What was the rate of interest in which he invested his sum?
A.6%
B.7%
C.8%
D.9%
Answer: C.8%
Explanation: In 5 years, the value grew $100, so the simple interest was $20 per year.
In 3 years, the total interest was 3*$20 = $60
The principal is $310 - $60 = 250.
The interest rate is $20/$250 = 8%
The answer is C.
Question: In an animal behavior experiment, 50 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 85 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
A.81.4
B.82
C.82.5
D.85
Answer: A.81.4
Explanation: Weighted mix method is best here....
Ratio is 1:4 for 86:80.5...
So the answer required = 80.5+ (85-80.5)*1/5=80.5+4.5*1/5
80.5+0.9=81.4
A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of
5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share?
A.Rs. 500
B.Rs. 1000
C.Rs. 1500
D.Rs. 2000
Answer: D.Rs. 2000
Explanation: Sol.
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then 4x - 3x = 1000 ⇔ x = 1000.
∴ B's share = Rs. 2x = Rs. (2x1000) = Rs. 2000.
Answer D
Question: Some of 60%-intensity red paint is replaced with 30% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?
A.2/3
B.1/3
C.2/5
D.1/2
Answer: A.2/3
Explanation: Let total paint = 1
Let amount replaced = x
60 (1-x) + 30x = 40
x = 2/3
ANSWER:A
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 75 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
A.7.19
B.7.17
C.7.2
D.7.35
Answer: D.7.35
Explanation: T = (121 + 165)/ (75 + 65) * 18/5
T = 7.35
Answer:D
Question: Walking across campus, a student interviewed a group of students. 35% of the students took a finance class last semester, 45% took a marketing class last semester, and 50% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
A.40%
B.30%
C.25%
D.15%
Answer: B.30%
Explanation: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 35 + 45 - {both} + 50
{both} = 30%.
The answer is B.
Question: If the cost price of 50 articles is equal to the selling price of 28 articles, then the gain or loss percent is?
A.22
B.65
C.78.57
D.33
Answer: C.78.57
Explanation: Given that, cost price of 50 article is equal to selling price of 28 articles.
Let cost price of one article = Rs. 1
Selling price of 28 articles = Rs. 50
But Cost price of 28 articles = Rs. 28
Therefore, the trader made profit.\Percentage of profit = 22/28 * 100 = 78.57%
Answer:C
Question: Which of the following numbers is the biggest => [-2/7 , -7/8 , -9/10 , -12/13 , -34/35]
A.A)-2/7
B.B)-7/8
C.C)-9/10
D.D)-12/13
Answer: A.A)-2/7
Explanation: If we observe all the fractions just differ by one i.e denominator vs numerate.. in such case the biggest will be with large values... here all values are with -ve value...the least value is biggest. i.e. -2/7..
Hence A is correct answer...
Question: A bag contains 5 white marbles and 5 black marbles. If each of 5 girls and 5 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
A.1/126
B.1/120
C.1/24
D.4/25
Answer: A.1/126
Explanation: Consider a case when all girls select black marbles...So Girl 1 will chose 1 black marble out of 10..and black marble will be chosen from 5 Black marbles
Girl 1 will have a probability of picking black marble 5/10
Girl 2 will have to pick a black marble out of 4 and total remaining no. of marbles 9=4/9
So we have Probability of all girls selecting black marbles as 5/10*4/9*3/8*2/7*1/6 =1/252
Since Girls can also select white marbles so we will have 2 cases so Probability of girls selecting all same colour marbles is 2*1/252 or 1/126
Ans is A
Question: The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $23. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
A.347.4
B.984.4
C.877.4
D.637.4
Answer: B.984.4
Explanation: Let the costs of each kg of mangos and each kg of rice be $a and $r respectively.
10a = 24r and 6 * 23 = 2r
a = 12/5 r and r = 69
a = 165.6
Required total cost = 4 * 165.6 + 3 * 69 + 5 * 23
= 662.4 + 207 + 115 = $984.40
B
Question: Which of the following is the lowest positive integer that is divisible by the first 6 positive integer multiples of 5?
A.300
B.600
C.720
D.950
Answer: A.300
Explanation: The number must be divisible by 5, 2*5, 3*5, 2^2*5, 5^2, and 2*3*5.
The lowest such number is 2^2*3*5^2 = 300.
The answer is A.
Question: Each of the 59 members in Lourdes school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?
A.2
B.5
C.6
D.8
Answer: C.6
Explanation: Each of the 59 members in Lourdes school class is required to sign up for a minimum of one and a maximum of three academic clubs.Total = G1 + G2 + G3 - (# In exactly 2) - 2*(# in 3 sets)
59 = 22+27+28 - (6) - 2x
so, # In 3 sets = 6=C
Question: What annual installment will discharge a debt of Rs 2,360 due in four years at 12% p.a. simple interest?
A.400
B.500
C.300
D.600
Answer: B.500
Explanation: Explanation:
Installments paid at the end of 1st, 2nd, 3rd and 4th years earn a simple interest at 12% p.a. for 3, 2, 1 and 0 years respectively.
Hence the respective installments amount to, (100 + 3 x 12), (100 + 2 x 12), (100 + 1 x 12) and 100, when annual installment is Rs 100.
Hence amount paid is Rs. 136 + Rs 124 + Rs 112 + Rs 100 i.e., Rs 472, when the annual installment is Rs.100
For an amount of Rs 2,360, annual installment = 2,360×100/472=Rs500
Answer B
Question: Which is greatest in 16 ( 2/3) %, 2/5 and 0.17 ?
A.2/3
B.0.17
C.3/2
D.0.71
Answer: B.0.17
Explanation: 16 (2/3)% =[ (50/3)* )1/100)] = 1/6 = 0.166, 2/15 = 0.133. Clearly, 0.17 is the greatest.
Answer is B.