RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling
the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
A.3 : 2
B.2 : 3
C.4 : 3
D.3 : 4
Answer: A.3 : 2
Explanation: Explanation :
Cost Price(CP) of 1 Kg mixture = Rs. 68.20
Profit = 10%
Cost Price(CP) of 1 Kg mixture= 100(100+Profit%)×SP=100(100+10)×68.20=100110×68.20=68211=Rs.62
By the rule of alligation:
CP of 1 kg tea of 1st kind CP of 1 kg tea of 2nd kind
60 65
Mean Price
62
65 - 62 = 3 62 - 60 = 2
Hence required ratio = 3 : 2
Answer : Option A
Question: An error 2.5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
A.6.04%
B.5.14%
C.5.23%
D.5.0625%
Answer: D.5.0625%
Explanation: 100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102.5 x 102.5) cm2.
(A2 - A1) = [(102.5)2 - (100)2]
= (102.5 + 100) x (102.5 - 100)
= 506.25 cm2.
Percentage error = 5.0625
D
Question: Three unbiased coins are tossed. What is the probability of getting at most 2 heads?
A.7/8
B.5/8
C.3/8
D.7/5
Answer: A.7/8
Explanation: Here S={TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E=event of getting at least two heads ={TTT, TTH, THT, HTT, THH, HTH, HHT}
P(E) = n(E)/n(S) = 7/8.
Answer A.
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 878 in 4 years. The sum is:
A.500
B.698
C.626
D.910
Answer: C.626
Explanation: Sol.
S.I. for 1 year = Rs. (878 - 815) = Rs. 63.
S.I. for 3 years = Rs. (63 * 3) = Rs. 189.
âˆ´ Principal = Rs. (815 - 189) = Rs. 626
Answer C
Question: A car covers a distance of 630 km in 6 hours. Find its speed?
A.105
B.7778
C.266
D.288
Answer: A.105
Explanation: 624/6 = 105 kmph
Answer:A
Question: An article is sold at a profit of 14%. If both the cost price and selling price are Rs 132 less, the profit would be 12% more. Find the cost price.
A.Rs276
B.Rs268
C.Rs266
D.Rs286
Answer: C.Rs266
Explanation: Let cost price was X.
SP = X + 14% of X = 1.14X.
If CP and SP were Rs. 132 less, the profit would be (14 +12)%.
New, CP = ( X - 132)
SP = 1.14X - 132
SP - CP = 26% of (X - 132)
1.14X - 132 - X + 132 = [26*(X -132)]/100
0.14X * 100 = 26X – 3432
14X – 26X = - 3432
12X = 3432
X = 286.
So, CP was Rs 286.
ANSWER : OPTION C
Question: Roy is now 8 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be three times as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?
A.72
B.84
C.88
D.96
Answer: D.96
Explanation: R = J+8 = K+4
R+2 = 3(J+2)
(J+8)+2 = 3J+6
J = 2
R = 10
K = 6
In 2 years (R+2)(K+2) = 12*8 = 96
The answer is D.
Question: A couple spent $158.40 in total while dining out and paid this amount using a credit card. The $158.40 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
A.$115
B.$120
C.$125
D.$130
Answer: B.$120
Explanation: Let the price of the meal be x.
After a 10% sales tax addition, the price is 1.1*x
After a 20% tip on this amount, the total is 1.2*1.1*x = 1.32x
1.32x = 158.40
x = 120
The correct answer is B.
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
A.8 kmph
B.9 kmph
C.12 kmph
D.14 kmph
Answer: C.12 kmph
Explanation: Let the distance travelled by x km.
Then, x - x = 2
10 15
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 60 kmph. = 12 kmph.
5
C
Question: Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 8 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
A.7/15
B.11/25
C.17/35
D.23/45
Answer: D.23/45
Explanation: Tom paints 1/6 of the room in the first hour.
Tom and Peter paint 1/6+1/3 = 1/2 of the room in the next hour for a total of 4/6.
The three people then paint the remaining 2/6 in a time of (2/6) / (15/24) = 8/15 hours
Peter worked for 23/15 hours so he painted 23/15 * 1/3 = 23/45 of the room.
The answer is D.
Question: If Suresh distributes his pens in the ratio of 1/2 : 1/4 : 1/5 : 1/7 between his four friends A, B, C and D, then find the total number of pens Suresh should have?
A.153
B.156
C.186
D.158
Answer: A.153
Explanation: Here, A : B : C : D = 1 / 2 : 1 / 4 : 1 / 5 : 1 / 7
1) L.C.M of 2, 4, 5, 7 is 140
2) Find the number of pens each friend received --------- (To find no. of pens each friend has, multiply the ratio with the L.C.M. calculated)
A = (1/2) x 140 = 70
B = (1/4) x 140 = 35
C = (1/5) x 140 = 28
D = (1/7) x 140 = 20
3) Total number of pens = (70 x + 35 x + 28 x + 20 x) = 153 x
Minimum number of pens (x) = 1
Therefore, total number of pens = 153 pens.
Correct option :A
Question: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 60 days to complete the same work. then Q alone can do it in
A.20
B.24
C.25
D.27
Answer: B.24
Explanation: Work done by P and Q in 1 day = 1/10
Work done by R in 1 day = 1/60
Work done by P, Q and R in 1 day = 1/10 + 1/60 = 7/60
But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as Work done by P in 1 day Ã— 2 = 7/60
=> Work done by P in 1 day = 7/120
=> Work done by Q and R in 1 day = 7/120
Hence work done by Q in 1 day = 7/120 â€“ 1/60 = 1/24
So Q alone can do the work in 24 days
Answer is B.
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 135 grams of water?
A.120
B.116
C.112
D.108
Answer: A.120
Explanation: (16/18)*144 = 120 grams
The answer is A.
Question: For the positive integers x, x + 2, x + 4, x + 7, and x + 17, the mean is how much greater than the median?
A.0
B.1
C.2
D.4
Answer: C.2
Explanation: Mean = (x + x+2 + x+4 + x+7 + x+17)/5
=(5x+30)/5
=x+6
Median = x+4
Thus Mean - Median = x+6 - (x+4)
=2
Answer = C
Question: The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
A.Rs.10569
B.Rs.10522
C.Rs.10,560
D.Rs.10533
Answer: C.Rs.10,560
Explanation: Let the rate of interest be R% p.a.
4400{[1 + R/100]2 - 1} = 11193.60
[1 + R/100]2 = (44000 + 11193.60)/44000
[1 + R/100]2 = 1 + 2544/1000 = 1 + 159/625
[1 + R/100]2 = 784/625 = (28/25)2
1 + R/100 = 28/25
R/100 = 3/25
Therefore R = 12 SI on Rs.44000 at 12% p.a. for two years = 44000(2)(12)/100
=Rs.10560
Answer:C
Question: If the GCD of two numbers (both integers, greater than 1) is 1, then which of the following cannot be true?
A. They are prime.
B. They are consecutive.
C. They have a common prime factor.
D. They do not have a common factor other than 1.
A.Only A
B.Only B
C.Only C
D.Only B and C
Answer: C.Only C
Explanation: The GCD of two numbers (both integers, greater than 1) is 1 means that they don't share factors other than 1. This also means that they cannot be equal.
We can take examples :
A. They can be prime. Example: 5 and 7
B. They can be consecutive. Example: 4 and 5
C. They cannot have a common prime factor. The only common factor is 1, which by definition is not prime.
D. They do not have a common factor other than 1. This is defined in the question.
Therefore, only (C) cannot be true.
Question: In how many ways can the letters {U, U, U, R, R} be arranged?
A.10
B.20
C.120
D.720
Answer: A.10
Explanation: There is 5! ways to arrange those letters in total, however letter U repeats 3! times and letter R repeats 2! times
=> the way to arrange without repeating = 5!/ [3!x2!] = 10
answer : A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.33 1/8%
B.33 3/3%
C.33 1/3%
D.39 1/3%
Answer: C.33 1/3%
Explanation: 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C
Question: The average of first 10 natural numbers is?
A.5.6
B.5.5
C.5.1
D.5.8
Answer: B.5.5
Explanation: Sum of 10 natural no.
= 110/2 = 55
Average = 55/10
= 5.5
Answer:B
Question: The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 40 minutes after it was poured was how many degrees Fahrenheit?
A.67.5
B.75
C.80
D.85
Answer: A.67.5
Explanation: Answer: B
The temperature of coffee 10 minutes after it was poured (120 F) will help in solving the constant “a”.
120 = 120(2 ^ 10a) + 60
2 ^ -1 = 2 ^ 10a
a = -1/10
The temperature of coffee 40 minutes after it was poured is:
F = 120 ( 2 ^ -40/10) + 60
F = 120 * 1/ 16 + 60
F = 15/2 + 60
F = 135/2=67.5
A
Question: Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $8,900, what were her annual sales?
A.$ 20,000
B.$ 22,000
C.$ 24,000
D.$ 26,000
Answer: D.$ 26,000
Explanation: Let x be the total sales in $.
For the 1st 11,000 you get 20% ---> 0.2*11000 = 2200$
For the remaining (x-11000) $, you get 30% ---> 0.3*(x-11000)
Thus, 0.3*(x-11000) + 2200 = 8900 ----> x= 26,000 $
D is thus the correct answer.
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes T, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
A. 6
B. 9
C. 10
D. 12
Answer: C. 10
Explanation: This is an inverse proportional problem......
5 pipes in 12 days; So for 4 days, it will be = 12 x 5 / 4 = 15
So, T=15-5 = 10.C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.245
B.77
C.88
D.99
Answer: C.88
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
Answer: C
Question: Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
A.229
B.270
C.877
D.266
Answer: B.270
Explanation: Let xx be the total number of pages in the book, then she finished 23⋅x23⋅x pages.
Then she has x−23⋅x=13⋅xx−23⋅x=13⋅x pages left.
23⋅x−13⋅x=9023⋅x−13⋅x=90
13⋅x=9013⋅x=90
x=270x=270
So the book is 270 pages long.
Answer:B
Question: By selling 16 pens for a rupee a woman loses 5%. How many for a rupee should he sell in order to gain 18%?
A.12
B.14
C.45
D.13
Answer: D.13
Explanation: D
95% --- 16
118% --- ?
95/118 * 16 = 13
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 45 km/hr. For how many minutes does the bus stop per hour?
A.15
B.88
C.77
D.20
Answer: A.15
Explanation: In 1hr, the bus covers 60 km without stoppages and 45 km with stoppages.
Stoppage time = time take to travel (60 - 45) km i.e 15 km at 60 km/hr.
stoppage time = 15/60 hrs = 15 min.
Answer: A
Question: If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be .
A.90 seconds
B.70 seconds
C.60 seconds
D.100 seconds
Answer: A.90 seconds
Explanation: 2/3 filled in 1 mint
1/3 filled in 1/2 mint
thn 2/3+1/3=1 in mint 60 sec+30 sec=90 sec
ANSWER:A
Question: What is the average of four tenths and three thousandths
A.0.2022
B.0.3325
C.0.2015
D.0.2012
Answer: C.0.2015
Explanation: Explanation:
Four tenths = 0.4
three thousandths = 0.003
The average is (0.4 + 0.003)/2 = 0.2015
Answer: C
Question: Awordis defined as a sequence of two dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?
A.3
B.4
C.6
D.8
Answer: B.4
Explanation: Each dot can be either yellow or blue, so 2 options for each dot: 2*2 = 4.
Answer: B.
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 6840 km and comes back to the starting point. The total time taken by him is:
A.914.2 hours
B.900 hours
C.915 hours
D.868.6 hours
Answer: D.868.6 hours
Explanation: Explanation:
Speed downstream = (16 + 2) = 18 kmph
Speed upstream = (16 - 2) = 14 kmph
Total time taken = 6840/18 + 6840/14 = 380 + 488.6 = 868.6 hours
Answer: Option D
Question: A no. x when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
A.1
B.4
C.9
D.11
Answer: C.9
Explanation: 221 + 43 = 264/17 = 9 (Remainder)
C
Question: An article is bought for Rs.600 and sold for Rs.300, find the loss percent?
A.12%
B.16%
C.19%
D.50%
Answer: D.50%
Explanation: 600 ----300
100 ---- ? => 50%
Answer: D
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 4 hours and machine B produces k bottles in 5 hours. How many hours does it take machines A and B, working simultaneously, to produce 18k bottles?
A.28
B.32
C.36
D.40
Answer: D.40
Explanation: A's rate = k/4
B's rate = k/5
k/4 + k/5 = 9k/20
18k / (9k/20) = 40 hours
The answer is D.
Question: Find the constant k so that : -x2 - (k + 12)x - 8 = -(x - 2)(x - 4)
A.11
B.12
C.18
D.14
Answer: C.18
Explanation: -x2 - (k + 12)x - 8 = -(x - 2)(x - 4) : given
-x2 - (k + 12)x - 8 = -x2 + 6x - 8
-(k + 12) = 6 : two polynomials are equal if their corresponding coefficients are equal.
k = -18 : solve the above for k
correct answer C
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.7 years
B.9 years
C.6 years
D.2 years
Answer: C.6 years
Explanation: Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) = 42 years.
Required difference = (42 - 36) = 6 years.
Answer: C
Question: A standard Veggiematik machine can chop 28 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 6 minutes?
A.36
B.252
C.108
D.216
Answer: B.252
Explanation: Direct Relationship:-
1 standard Veggiematik machine - 28 Carrots - 4 minutes,
1 standard Veggiematik machine - 7 Carrots - 1 minute,
Now
6 standard Veggiematik machine - ? Carrots - 6 minutes,
Hence = 7X6X6 =252 Carrots
Answer B
Question: Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 53.1 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?
A.0.08
B.1.2
C.1.1
D.10.5
Answer: B.1.2
Explanation: Change in production of motor vehicles = 53.1 - 3.9 = 49.2 million in 41 years (1987 - 1946)
average increase per year = 49.2/41 = 1.2 million (apporx.)
Answer (B)
Question: How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
A.3587.59
B.3587.52`
C.3587.5
D.3587.52
Answer: C.3587.5
Explanation: I = (8200 * 2.5 * 17.5)/100 = (8200 * 5 * 35)/(100 * 2 * 2)
= Rs. 3587.50
Answer:C
Question: (132)^7 × (132)^? = (132)^11.5.
A.4.5
B.3
C.4
D.3.5
Answer: A.4.5
Explanation: (132)^7 × (132)^x = (132)^11.5
=> 7 + x = 11.5
=> x = 11.5 - 7 = 4.5
Answer is A
Question: Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(23 Ã— 24)
so that the result is equal to 1?
A.7/24
B.11/24
C.13/24
D.17/24
Answer: C.13/24
Explanation: The given expression
= 1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ...... + 1/(23 Ã— 24)
= (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + .......... + (1/23 - 1/24)
= 1/2 - 1/24 = 11/24
Thus, the fraction we should add = 1 - 11/24 = 13/24
The answer is C.
Question: In how many different number of ways 2 boys and 2 girls can sit on a bench?
A.72
B.24
C.76
D.78
Answer: B.24
Explanation: npn = n!
4p4 = 4 × 3 × 2 × 1 = 24
B
Question: If x+y=14, x-y=60, for integers of x and y, x=?
A.37
B.35
C.25
D.20
Answer: A.37
Explanation: x+y =14
x-y = 60
2x = 74
x = 37
Answer is A
Question: On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders E will be:[/b]
A.3, 3, 2
B.3, 4, 2
C.5, 4, 3
D.E=5, 5, 2
Answer: D.E=5, 5, 2
Explanation: Let the original number be X. Then by the successive dividing we have followings :
X=5A+2
A=7B+3
B=8C+4.
So we have A=7*(8C+4)+3=7*8C+31, and X=5*(7*8C + 31)+2 = 5*7*8C + 157.
Now by dividing X by 8, 7, 5 successively we have followings :
X=8*(5*7C+19)+5
5*7C+19=7*(5C+2) + 5
5C+2=5C+2.
The remainders are, therefore, 5, 5, 2.
The answer is (D).
Question: A certain bus driver is paid a regular rate of $14 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $982 in total compensation, how many total hours did he work that week?
A.57
B.51
C.59
D.55
Answer: A.57
Explanation: For 40 hrs = 40*14=560
Excess = 982-560=422
For extra hours =.75(14)=10.5+14=24.5
Number of extra hrs =422/24.5=17.2=17 approx.
Total hrs =40+17=57
Answer A
Question: If the average (arithmetic mean) of five consecutive negative integers is 6k – 1, what is the difference between the greatest and least of the five integers?
A.4K
B.4k^2 -4k
C.4-4k
D.4
Answer: D.4
Explanation: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 6k - 1
=> n = 30k - 5
Greatest = n + 2 = 30k - 5 + 2 = 30k - 3
Least = n - 2 = 30k - 5 - 2
=> Difference = 30k - 3 - (30k - 7)
= 4
Answer - D
Question: When positive integer N is divided by positive integer P, the quotient is 18, with a remainder of 6. When N is divided by (P + 2), the quotient is 15 and the remainder is 3. What is the value of N?
A.151
B.331
C.168
D.691
Answer: C.168
Explanation: N/P=18 6/P= 18P+6
N/(P+2)=15 2/(P+2)=15P+30+3
solving these two equations
we get P=9 N= 168 answer is C.
Question: One man can do as much work in one day as a woman can do in 2 days. A child does one third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the days work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?
A.Rs. 14
B.Rs. 5
C.Rs 20
D.Rs 7
Answer: D.Rs 7
Explanation: Explanation :
Let work done by a man in one day = x
Then,
work done by a woman in 1 day = x/2.
work done by a child in 1 day = x/6.
estate owner hires total 39 persons
men : women : children = 6:5:2
Number of men = 39 × 6 / 13 = 18
Number of women = 39 × 5 / 13 = 15.
Number of children = 39 × 2 / 13 = 6.
Work done by 18 men in 1 day = 18x
Work done by 15 women in 1 day = 15x/2
Work done by 6 children in 1 day = 6x/6 = x.
Total amount given to 6 children = 1113 × x / ( 18x + 15x/2 + x) = 2226 / (36 + 15 + 2 ) = 42.
Daily wage of a child = 42 / 6 = Rs. 7.
Answer : D
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
A.XB > AB
B.XB < YD
C.AX > XB
D.AX < CD
Answer: D.AX < CD
Explanation: A--X------B
C-----Y---D
AX < CD.
Answer: D.
Question: Calculate the time it will take for a train that is 240 meter long to pass a bridge of 130 meter length, if the speed of the train is 50 km/hour ?
A.21.64 seconds
B.22.64 seconds
C.23.64 seconds
D.26.64 seconds
Answer: D.26.64 seconds
Explanation: Speed = 35 Km/hr = 50*(5/18) m/sec = 13.89 m/sec
Total distance = 240+130 = 370 meter
Time = Distance/speed
= 370 * (1/13.89) = 26.64 seconds
Answer: D
Question: Jill's favorite number is even and has some repeating prime factors. John is guessing Jills favorite number, and the only hint she gives is that 7 is a prime factor. What is Johns best guess?
A.84
B.105
C.54
D.42
Answer: A.84
Explanation: A 84=2*2*2*7
B 105 is odd
C 54 = 2*3*3
D 42 = 2*3*7
E 70 = 2*5*7
The answer must meet three criteria: Odd, Have repeating prime factors, and 7 is a prime factor. A is the only answer that meets all criteria
Question: A certain junior class has 1,000 students and a certain senior class has 600 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
A.3/40,000
B.1/10,000
C.9/2,000
D.1/60
Answer: B.1/10,000
Explanation: Total number of ways of choosing one student from each group is = 600 * 1000
Number of cases in which a sibling pair will be got is = 60
Thus the probability that the 2 students selected will be a sibling pair is
= 60 /(600 * 1000)
= 1/10,000
B
Question: If the area of a square with the side a is equal to the area of a triangle with base a, then the altitude of the triangle is.
A.a
B.a/2
C.2a
D.2/a
Answer: C.2a
Explanation: Explanation:
We know area of square =a2Area of triangle =1/2∗a∗h
=>12∗a∗h=a2
=>h=2a
Option C
Question: Three small cruise ships, each carrying 9 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out?
A.17,496
B.18,324
C.19,538
D.20,464
Answer: A.17,496
Explanation: The number of ways for the ships to go to the ports is 3! = 6.
At Port A, the number of ways to choose two winners is 9C2 = 36.
At Port B, the number of ways to choose one winner is 9.
At Port C, the number of ways to choose one winner is 9.
The total number of ways to give out gift certificates is 6*36*9*9 = 17,496
The answer is A.
Question: When all the students in a school are made to stand in rows of 48, 22 such rows are formed. If the students are made to stand in rows of 34, how many such rows will be formed ?
A.31
B.36
C.38
D.19
Answer: A.31
Explanation: Explanation:
Total number of students = 48 x 22
When arranged in rows of 34, number of rows formed are,
= 31.
Answer: A
Question: The average runs of a cricket player of 15 innings was 25. How many runs must he make in his next innings so as to increase his average of runs by 6?
A.121
B.421
C.143
D.176
Answer: A.121
Explanation: Explanation:
Average after 16 innings = 31
Required number of runs = (31 * 16) – (25 * 15)
= 496 – 375 = 121
ANSWER A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.540 more, there would have been a gain of 8%. What is the cost price?
A.1000
B.2998
C.3000
D.2788
Answer: C.3000
Explanation: 90%
108%
--------
18% ---- 540
100% ---- ? => Rs.3000
Answer:C
Question: If PINTU is coded as 79523 in a certain code language, how would you code LUMBO in the same language?
A.13426
B.14236
C.13436
D.33426
Answer: D.33426
Explanation: 1 2 3 4 5 6 7 8 9
a b c d e f g h i
j k l m n o p q r
s t u v w x y z
sooo...LUMBO is 33426...
ANSWER:D
Question: If 3s + 1 < 2s < 9 - s, which of the following must be true?
I. -1 < s < 3
II. s < -1
III. s < 3
A. II only
B. III only
C. I and II only
D. II and III only
Answer: A. II only
Explanation: Just try plugging s in a number like 0 or 1, and you'll quickly find that the inequality doesn't hold.
So you can immediately cross out any answers with I or III, leaving just (A) II only.