RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 6th position from either end of the row.
Can you find out how many girls are practicing together?
A.4
B.9
C.11
D.6
Answer: C.11
Explanation: As judith is 6th from either end of the row, it means that 5 girls are on one of her sides and 5 are present on the other.
5 + 5 + 1(judith herself) = 11.
Hence, 11 girls are practicing the dance together.
correct answer is C)11
Question: A bus leaves Los Angeles at 7:00 a.m. traveling north at 80 miles per hour. At 12:00 p.m. a plane leaves Los Angeles traveling north at 380 miles per hour. At what time will the plane overtake the bus?
A.1:45 p.m.
B.1:20 p.m.
C.12:25 p.m.
D.12:40 p.m.
Answer: B.1:20 p.m.
Explanation: At 12:00pm, the bus is 400 miles ahead of plane
The plane travels at 380 mph, which gains 300 mph on bus
400/300= 4/3 hours = 80 minutes
12:00 + 0:80 = 1:20
The plane will overtake bus at 01:20pm
Answer:B
Question: The first three terms of a proportion are 3, 9 and 12. The fourth term is?
A.15
B.87
C.16
D.36
Answer: D.36
Explanation: (9*12)/3 = 36
Answer: D
Question: If 5x + 3 = 10x – 17, what is the value of x?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: solve for x:
5x+3=10x-17
20=5x
4=x
correct answer D)4
Question: Mike earns $14 per hour and Phil earns $7 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
A.25%
B.32.5%
C.37%
D.50%
Answer: D.50%
Explanation: What % less of 14 is 7
let it be x % less ,then
=14(1-x/100)=7
1-x/100=7/14
x=100/2
x=50%
Ans D
Question: A certain amount earns simple interest of Rs. 1200 after 10 years. Had the interest been 2% more, how much more interest would it have earned?
A.Rs. 25
B.None of these
C.Rs. 120
D.Rs. 100
Answer: D.Rs. 100
Explanation: Explanation :
Since we do not have the principal and rate of interest, we can not find out the required details.
Answer : Option D
Question: X and Y run a 100m race,where X beats Y by 20 m. To do a favor to Y, X starts 10m behind the starting line in a second 100m race. Both run at the same previous speed. Which of the following is true?
A.X Beats Y by 2m
B.X Beats Y by 0.5 m
C.X Beats Y by 4 m
D.X Beats Y by 4 m
Answer: D.X Beats Y by 4 m
Explanation: Let's suppose that the speed of X is 10m/s and that the speed of Y is 8 m/s.
So, in the first race, the results are the following:
X crosses the finish line in 10s. In other words, X has run 100m in 10 s.
In 10s, Y has run 80 meters.
Therefore, there is the difference of 20 meters mentioned in the question.
Now, let's review the second race.
In 12 seconds, X can complete the 100 meters race. We have to remember that X is 4 meters behind the starting line.
But in 12 seconds, Y has covered (96 ) =96 meters. Also, it is important to notice that in 12 seconds Y cannot arrive to the finish line.
So, 100 - 96 = 4 meter
Answer: D
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
A.54670
B.12300
C.38000
D.43200
Answer: C.38000
Explanation: Option C
Explanation:
CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
Question: Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5?
A.5 years
B.10 years
C.20 years
D.37 years
Answer: B.10 years
Explanation: Solution
Suppose, the ratio was 3 : 5, x years ago.
Then,	40 - x / 60 - x
= 3 / 5.
‹=›5(40-x)=3(60-x)
‹=›2x= 20
‹=›x= 10
Answer B
Question: If ab represents a positive two digit number, where a and b are single digit integers, which of the following cannot be true?
A.a+b =9
B.(a)(b)=9
C.a-b = 9
D.b-a= 9
Answer: D.b-a= 9
Explanation: (A) ab = 45 or 63 or 27
(B) ab = 33 or 19
(C) 90
(D) impossible
(E) ab = 91
(D) is impossible because 09 is not a valid two digit number --- if there's a zero in the ten's place, that's just 9, a single digit number. Therefore, no valid two digit number would satisfy (D).
ans D
Question: If n is a positive integer, what is the remainder when (7^(3n+3))(6^n) is divided by 10?
A.1
B.2
C.4
D.6
Answer: D.6
Explanation: This one took me bout 3 1/2 min. Just testin numbers and what not.
First notice that n is positive. Save time by noticing thatI worked out one solution where n=0 only to find that thats not an option :p.
1-7 stands for ^1 thru 7
1: 7*1=7
2: 7*7=9
3: 7*9=3
4: 7*3=1
5: 7*1=7
6: 7*7=9
7: 7*9=3
Pattern repeats every @ 5. Notice every ^4 or multiple of 4 is always going to be 1. This is just for future notice for similar problems.
so 7^4n+3 ---> if n=1 then its ((7^7)*6))/10 which can say is going to be 3*8--> 18/10 --> R=8
Now from here if id double check just to make sure.
7^4(2)+3*6^2 ---> 7^11*36 or we can just say again 7^11*6 (b/c we are only interested in the units digit).
Since ^12 is going to be 1 that means ^11 is going to be 3 (as taken from our pattern)
so again 3*6=18/10 ---> R =6.
D or J in this problem.
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 47 kg more than the weight of the third boy, what is the weight of the lightest boy?
A.87.6 kg
B.37.6 kg
C.98.6 kg
D.65.6 kg
Answer: B.37.6 kg
Explanation: Let the weights of the three boys be 4k, 5k and 6k respectively.
4k + 6k = 5k + 47
=> 5k = 47 => k = 9.4
Therefore the weight of the lightest boy
= 4k = 4(9.4) = 37.6 kg.
Answer:B
Question: Find the area of a parallelogram with base 21 cm and height 11 cm?
A.231
B.284
C.288
D.255
Answer: A.231
Explanation: Area of a parallelogram = base * height
= 21 * 11
= 231 cm2
Answer: A
Question: Find the value of 1/(3+1/(3+1/(3-1/3)))
A.21/29
B.27/89
C.89/21
D.29/21
Answer: B.27/89
Explanation: 1/[3 + (1/(3+1/(3 - 1/3)))]
=> 1/[3 + 1/(3 + 1/(8/3))]
=> 1/[3 + 1/(3 + 3/8)]
=> 1/[3 + 8/27]
=> 1/(89/27)
=> 27/89
B
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
A.1:2
B.2:1
C.3:2
D.2:3
Answer: B.2:1
Explanation: Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
=45000×12:30000×9
=45×12:30×9
=3×12:2×9
=2:1
Answer is B.
Question: Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
A.240
B.180
C.160
D.140
Answer: B.180
Explanation: Explanation:
3x + 4x = 420
x = 60 => 3x = 180
ANSWER IS B
Question: Ms. Martha invested in Fund W and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund W paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund W. How much did Ms. Morris invest in Fund W?
A. $32,000
B. $36,000
C. $40,000
D. $42,000
Answer: D. $42,000
Explanation: 0.17B-0.23W = 200 | * 100
17B-23W=20,000
W+B=100,000
B=100,000 - W
17(100,000 - W) - 23W = 20,000
1,700,000 - 17W - 23W = 20,000
1,680,000 = 40W
divide by 40
first two digits: 42...so answer is D.
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A.176 ways
B.500 ways
C.178 ways
D.198 ways
Answer: B.500 ways
Explanation: We can select one boy from 20 boys in 20 ways.
We select one girl from 25 girls in 25 ways
We select a boy and girl in 20 * 25 ways i.e.,
= 500 ways.
Answer:B
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $104 million in sales?
A.8%
B.15%
C.45%
D.42%
Answer: D.42%
Explanation: (9/104)/(3/20) = 30/54 = 57,6% it means that 9/108 represents only 57,6%. Therefore a decrease of 42%.
Answer D
Question: A man can do a piece of work in 10days, but with the help of his son, he can do it in 4 days. In what time can the son do it alone?
A.13/2
B.17/3
C.15/2
D.20/3
Answer: D.20/3
Explanation: Son's 1day's work = (1/4)-(1/10) = 3/20
The son alone can do the work in 20/3 days
Answer is D
Question: A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident
A.35/900
B.35/100
C.35/101
D.35/109
Answer: B.35/100
Explanation: Explanation:
Let A = Event that A speaks the truth
B = Event that B speaks the truth
Then P(A) = 75/100 = 3/4
P(B) = 80/100 = 4/5
P(A-lie) = = 1/4
P(B-lie) = = 1/5
Now, A and B contradict each other =[A lies and B true] or [B true and B lies]
= P(A).P(B-lie) + P(A-lie).P(B)
=
= = 35%
Answer: B) 35/100
Question: There are 50 students in a class. If 6% are absent on a particular day, find the number of students present in the class.
A.47
B.36
C.28
D.12
Answer: A.47
Explanation: Number of students absent on a particular day = 6 % of 50
i.e., 6/100 × 50 = 3
Therefore, the number of students present = 50 - 3 = 47 students.
Answer: A
Question: A 7" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
A.81
B.100
C.125
D.144
Answer: C.125
Explanation: The unpainted blocks are the interior blocks.
These blocks form a 5" cube on the inside.
The number of unpainted blocks is 5*5*5 = 125 blocks.
The answer is C.
Question: The capacity of a tank of dimensions (8m x 6m x 2.5m)is
A.120 litres
B.1200 litres
C.12000 litres
D.120000 litres
Answer: D.120000 litres
Explanation: Explanation:
capacity of atank =volume of tank
= (8 x 100 x 6 x 100 x 2.5 x 100)/1000 litres
= 120000 litres
Answer: D
Question: Meg and Bob are among the 7 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
A.24
B.30
C.60
D.2220
Answer: D.2220
Explanation: Total # of ways the race can be finished is 7!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 7!/2=2220.
Answer: D.
Question: At Deluxe paint store, Fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. Mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint. How many liters of blue paint must be added to 24 liters of Fuchsia to change it to Mauve paint?
A.9
B.12
C.15
D.16
Answer: D.16
Explanation: in 24 liters, Red = 5/8 * 24 = 15 and Blue = 9
so, 15/(9+x) = 3/5
or, x = 16 (Answer D)
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 400 sq.ft, how many feet of fencing will be required ?
A.60feet
B.50feet
C.40feet
D.30feet
Answer: A.60feet
Explanation: Explanation:
We are given with length and area, so we can find the breadth.
as Length * Breadth = Area
=> 20 * Breadth = 400
=> Breadth = 20 feet
Area to be fenced = 2B + L = 2*20 + 20
= 60 feet
Answer: Option A
Question: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is ?
A.11
B.12
C.14
D.15
Answer: A.11
Explanation: 3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)]
3/11 × [4/3 + 5/4 × ........ 121/120]
3/11 × 4/3 × 5/4 × .... 121/120
121/11 = 11.
A)
Question: The CI on Rs. 30,000 at 7% per year is Rs. 4347. The period is?
A.1 years
B.2 years
C.3 years
D.4 years
Answer: B.2 years
Explanation: Amount = Rs. (30000 + 4347) = Rs. 34347.
Let the time be n years.
Then, 30000 1 + 7 n = 34347
100
107 n = 34347 = 11449 = 107 2
100 30000 10000 100
n = 2 years
B
Question: The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
A.30, 40
B.25, 30
C.50, 60
D.20, 40
Answer: A.30, 40
Explanation: Their present ages be 3X and 4X.
5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7
X = 35 - 25 => X = 10.
Their present ages are: 30, 40.
ANSWER:A
Question: A train passes a man standing on the platform. If the train is 60 meters long and its speed is 72 kmph, how much time it took in doing so?
A.6 ½ sec
B.4 ½ sec
C.6 sec
D.3 sec
Answer: D.3 sec
Explanation: D = 60
S = 72 * 5/18 = 20 mps
T = 60/20 = 3 sec
Answer: D
Question: If PINTU is coded as 79523 in a certain code language, how would you code DUMBO in the same language?
A.43426
B.14236
C.13436
D.14263
Answer: A.43426
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...DUMBO is 43426...
ANSWER:A
Question: The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is:
A.279
B.283
C.308
D.318
Answer: C.308
Explanation: Other number = (11 * 7700)/275 = 308.
ANSWER:C
Question: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A.20
B.99
C.88
D.77
Answer: A.20
Explanation: There are three ladies and five gentlemen and a committee of 5 members to be formed.
Number of ways such that two ladies are always included in the committee = ⁶C₃ = (6 * 5 * 4)/6
= 20.
Answer:A
Question: At steel factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
A.8/17
B.1/2
C.8/9
D.9/8
Answer: A.8/17
Explanation: At steel factory,Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9;
Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift employees would be 4*2=8;
The ratio of the second shift production to the total is 8/(9+8)=8/17.
Answer: A.
Question: A space shuttle orbits the earth at about 6 kilometers per second. This speed is equal to how many kilometers per hour?
A. 480
B. 2,880
C. 21,600
D. 28,800
Answer: C. 21,600
Explanation: Seconds in 1 hours:
60s in 1 min
60 min in 1 hr
60*60=3600 sec in 1 hr
6*3600=21,600
Answer: C
Question: What approximate value should come in place of the question mark (?) in the following equation?50.02 Ã— 12.65 â€“ 37.50 Ã— 10.55 = (50 + ?) Ã— 4
A.10.282
B.9.282
C.9.5
D.8.282
Answer: B.9.282
Explanation: Solve using approximation
Answer B
Question: A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ?
A.88%
B.38%
C.68%
D.28%
Answer: D.28%
Explanation: Let original length = x
and original width = y
Decrease in area will be
=xy−(80x100×90y100)=(xy−1825xy)=725xyDecrease = (7xy25xy×100)%=28%
Answer: D
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A.31/32
B.31/39
C.37/32
D.11/32
Answer: A.31/32
Explanation: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32
= 31/32
Answer:A
Question: Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ?
A.54
B.76
C.25
D.60
Answer: A.54
Explanation: A
54
It takes 3 hours for the Simpson & Stewie to meet.
so the eagle flies for 3 hours at 18 Km/hr = 54 kms
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
A.93%
B.97%
C.100%
D.107%
Answer: A.93%
Explanation: Say Arthur's fortune was $100. Then:
A = 20*1.5*1.1 = 33
B = 20*1.5*1.1 = 33
C = 20*1.5*0.4 = 12
D = 20*0.6*1.25 = 15
E = 0
Total 33 + 33 + 12 + 15 = 93.
Answer: A.
Question: If 300!/10^n is an integer, what is the largest possible value of n?
A.75
B.74
C.79
D.77
Answer: D.77
Explanation: The question actually asks the highest power of 10 which divides 300! ( For a number to be an integer - Without any remainder all the trailing zeroe's must be divided by the denominator)
10 = 2 x 5
300 factorial will have 74 as -
300/5 = 60
60/5 = 12
12/5 =2
So answer will be (D) 74
Question: If a certain manager had received a 12.5% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?
A.55,000
B.58,080
C.59,290
D.59,400
Answer: B.58,080
Explanation: No need of getting involved with decimals ..just work in fractions ..
salary(let X) included 10% increase can be written as
(1+12.5/100)X=60500
X=60500/1.125------>53777.77
if there is 8% rise in 53777.77
then the salary now is 8% of 53777.77
8*53777.77/100=4302.22
then toal salary after increment=53777.77+4302.22----->58079.99
Ans B
Question: To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take
A.24 days
B.16 days
C.12 days
D.8 days
Answer: D.8 days
Explanation: Explanation:
A+B 1 day work = 1/8
B+C 1 day work = 1/12
A+B+C 1 day work = 1/6
We can get A work by (A+B+C)-(B+C)
And C by (A+B+C)-(A+B)
So A 1 day work =
1/6−1/12=1/12
Similarly C 1 day work =
1/6−1/8 = 4−3/24=1/24
So A and C 1 day work =
1/12+1/24=3/24=1/8
So A and C can together do this work in 8 days
Option D
Question: Barbata invests $1400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
A.700
B.300
C.1000
D.360
Answer: A.700
Explanation: Let the additional invested amount for 8% interest be x;
Equation will be;
1400+0.05*2400+x+0.08x = 1400+x+0.06(2400+x)
0.05*1400+0.08x = 0.06x+0.06*1400
0.02x = 1400(0.06-0.05)
x = 1400*0.01/0.02 = 700
Ans:A
Question: The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm. What is the ratio of the width and the area of the rectangle?
A.1: 96
B.1: 99
C.1: 94
D.1: 92
Answer: D.1: 92
Explanation: Let the length and the width be 4x and 3x respectively.
Area = (4x)(3x) = 6348
12x^2 = 6348
x^2 = 529
x = 23
The ratio of the width and the area is 3x : 12x^2 = 1 : 4x = 1: 92
The answer is D.
Question: What is the place value of 3 in the numeral 3259
A.2500
B.3400
C.3500
D.3000
Answer: D.3000
Explanation: Option 'D'
3 * 1000 = 3000
Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
A.308 sq cm
B.220 sq cm
C.440 sq cm
D.132 sq cm
Answer: C.440 sq cm
Explanation: r = 7 h = 3
2πr(h + r) = 2 * 22/7 * 7(10) = 440
ANSWER:C
Question: If 175*s is a perfect square then s can be which of the following numbers?
A.21
B.35
C.54
D.105
Answer: B.35
Explanation: My solution:
For a number to be a perfect square all the prime factors must be in pairs. So,
Prime factors of 175 are 5 *5 * 7
1) 21 = 3 * 7
2) 35 = 5 * 7
3) 54 = 2 * 3 * 3 * 3
4) 105 = 3 * 5 * 7
5) 150 = 2 * 3 * 5 * 5
So only answer choice D completes the pairing of 5 and 7. It adds a3, a5, and a7to the prime factors of 175 (5*5*7) and makes it a perfect square. B
Question: Sales price is $54, gross profit is 125% of cost, what is the value of gross profit?
A.32
B.30
C.39
D.40
Answer: B.30
Explanation: Cost + Profit = Sales
Cost + (125/100)Cost = 54
Cost = 24
Profit = 54 - 24 = 30
Answer (B)
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
A.1/10
B.9/10
C.1/5
D.3/10
Answer: C.1/5
Explanation: Explanation:
10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
ANSWER IS C
Question: A,B and C are brothers . D is A's father while G is B's son. Which of the following statements is definitely true ?
A.D is G's grandparent
B.B is D's uncle
C.C is G's brother
D.D is B's brother
Answer: A.D is G's grandparent
Explanation: Explanation:
A,B and C are children of same parents. So. G who is B's son is a grandchild to D.
Answer: A)
Question: A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is
A.3
B.5
C.7
D.9
Answer: C.7
Explanation: Sol.
Let the numbers be x.
Then, x - 4 = 21/x
⇔ x2 - 4x - 21 = 0
⇔ (x-7)(x+3) = 0
⇔ x = 7.
Answer C
Question: The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $93 per day. What was his wage on the 8th day?
A.$83
B.$90
C.$92
D.$97
Answer: B.$90
Explanation: Average daily wage of a worker for 15 consecutive working days = 90$
During the first 7 days , the daily average daily wage = 87$
During the last 7 days , the daily average daily wage = 93$
Wage on 8th day = 90*15 -( 87*7 + 93 *7)
= 1350 - (609 + 651)
=1350 - 1260
= 90
Answer B
Question: Solve the equation for x : 8x - 40 + 2x = 5 + 10 - x
A.4
B.10
C.7
D.5
Answer: D.5
Explanation: D
5
10 x + x = 15 + 40
11 x = 55 => x = 5
Question: 1!+2!+3!+4!+5!+..100! is divided by 24. Find the remainder?
A.3
B.6
C.9
D.11
Answer: C.9
Explanation: By applying rule 2, we divide the terms of the above expression individually, and add them to get the final remainder. But from 4! onwards all the terms leave a remainder 0 when divided by 24.
So the remainder = 1 + 2 + 6 + 0 + 0....... = 9
C
Question: Three clocks were set to true time and starts to run together, makes a beep sound at intervals of 8,10 and 12 minutes respectively. In 2 days, how many times do they will make the sound together ?
A.12
B.15
C.25
D.30
Answer: C.25
Explanation: Explanation :
The clocks make sound at intervals of 8, 10 and 12 minutes respectively.
The LCM of 8,10 and 12 is 120.
So, the clocks will make sound together after every 120 minutes. i.e., after every 2 hours.
In 2 days(48 hours), they will make the sound together (48/2) = 24 times.
At the end of 2nd day, they will make one more beep together.
Therefore, totally (24+1) 25 times beep sound is made together.
Hence the answer is 25 times.
Answer : C
Question: Suganya and Suriya are partners in a business. Suganya invests Rs. 35,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is
A.Rs.9471
B.Rs.12,628
C.Rs.262.8
D.Rs.241.7
Answer: D.Rs.241.7
Explanation: Solution
Ratio of their shares	=(35000Ã—8):(42000Ã—10)
= 128 : 125
Suganya's share	= Rs.(30570 Ã—2/253)
= Rs.241.7.
Answer D
Question: There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 12:10 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
A.921:630
B.598:392
C.118:126
D.193:122
Answer: B.598:392
Explanation: 12:10=>12x+10x=22x
2:1=>2y+1y=3y
3:2=>3z+2z=5z
22x=3y=5z
Take LCM of 22,3,5=330
Or simply;
x=15
y=110
z=66
So,
Ratio of Milk:Water= (12x+2y+3z)/(10x+y+2z)=598/392
Ans:B
Question: How many multiples of 5 are there between 5 to 95?
A.9
B.18
C.17
D.16
Answer: C.17
Explanation: As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the unit’s place). So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90.
Answer C
Question: 2^x +2* 2^-x = 4 What is the value of x?
A.-1
B.-1/2
C.1
D.1/2
Answer: C.1
Explanation: let 2^x = t
t+1/t =2
t^2 -4t +4 =0
(t-2)^2=0
t-2=0
t=2
2^x=2
x=1
Ans: C