RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B>A and B-A is perfectly divisible by 7, then which of the following is necessarily true?
A.100<A<299
B.106<A<305
C.112<A<311
D.118<A<317
Answer: B.106<A<305
Explanation: Explanation:
Let A = abc the B = cba
Given, B – A is exactly divisible by 7.
Therefore, 100c + 10b + a – (100a + 10b + c) = 99c – 99a = 99(c – a)
So 99(c – a) should be divisible by 7.
We know that 99 is not divisible by 7. So (c – a) should be divisible by 7 which implies c – a is 0, 7, 14...
c – a = 0 is not possible as c = a implies A = B but given that B > A
c – a = 14 is not possible as the maximum difference between c and a = 9 – 1 = 8 only.
So c – a = 7.
If c = 9, a = 2
c = 8, a = 1
b can take any value from 0 to 9
Therefore, minimum value of abc = 109, maximum value = 299
From the given options, option B satisfies this.
Correct option: B
Question: Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?
A.27
B.88
C.26
D.55
Answer: A.27
Explanation: Let the number of hours working per day initially be x. we have M1 D1 H1= M2 D2 H2
30 * 24 * x = 20 * d2 * (4x)/3 => d2 = (30 * 24 * 3)/(24 * 4) = 27 days.
Answer:A
Question: What is the smallest positive integer K such that the product of 450 x K is a perfect square?
A.3
B.9
C.15
D.25
Answer: A.3
Explanation: A perfect square, is just an integer that can be written as the square of some other integer. For example 16=4^2, is a perfect square.
Now, 450 = 3^2 * 5^2 *3 , so if k=3 then 450k = (3 * 5 * 3)^2, which is a perfect square (basically the least positive value of k must complete only the power of 7 to even power as powers of other primes are already even).
Answer: A.
Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
A.15 sec
B.16 sec
C.18 sec
D.12 sec
Answer: D.12 sec
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 12 sec
ANSWER: D
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
A.278
B.29
C.12
D.17
Answer: C.12
Explanation: x, 2x
(x-2):(2x-2) = 1:3
3x-6 = 2x-2
x = 4
x+2x = 3x
=> 3*4 = 12.Answer:C
Question: What is the area of square field whose side of length 16 m?
A.225
B.777
C.256
D.288
Answer: C.256
Explanation: 16 * 16 = 256 sq m
Answer: C
Question: Einstein walks on an escalator at a rate of 5steps per second and reaches the other end in 10 sec. while coming back, walking at the same speed he reaches the starting point in 40secs. What is the number of steps on the escalator?
A.40
B.60
C.120
D.80
Answer: D.80
Explanation: Let the speed of escaltor be X steps per sec.
And length of escalator be Y.
Einstein's speed = 5 step/ sec
Then,
During upward movement
5-X=Y/10
During downward movement
5+X=Y/40
By solving equations we get Y=80.
ANSWER:D
Question: In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off the usual selling price. If he manages to sell 72 shirts for Rs 13.608, then his cost price per shirt, in Rs, is
A.120
B.130
C.140
D.150
Answer: D.150
Explanation: suppose cost price is x
so selling price is 14x/10
now after 10% discount selling price is 126x/100
total selling price is 72*126x/100
72*126x/100=13608
x=150
so the cost price per shirt is 150.
ANSWER:D
Question: The speed of a train is 80 kmph. What is the distance covered by it in 6 minutes?
A.15 kmph
B.11 kmph
C.18 kmph
D.8 kmph
Answer: D.8 kmph
Explanation: 80 * 6/60
= 8 kmph
Answer:D
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, two boggies were detached. The train now crosses a telegraph post in
A.18 sec
B.12 sec
C.15 sec
D.20 sec
Answer: C.15 sec
Explanation: Length of train = 12 × 15 = 180 m.
Then, speed of train = 180⁄18 = 10 m/s
Now, length of train = 10 × 15 = 150m
∴ Required time = 150⁄10 = 15 sec.
Answer C
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
A.13500
B.10500
C.9423
D.8500
Answer: B.10500
Explanation: Explanation:
Simran : Nanda =(50000Ã—36):(80000Ã—30)=(50000Ã—36):(80000Ã—30) =3:4=3:4.
Simran's share = Rs. (24500Ã—37)(24500Ã—37) = Rs. 10500.
ANSWER IS B
Question: A man can do a job in 20 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
A.6.3
B.6.9
C.7.1
D.6.1
Answer: C.7.1
Explanation: 1 day work of the three persons = (1/20 + 1/20 + 1/25) = 7/50
So, all three together will complete the work in 300/47 = 7.1 days.
Answer:C
Question: If x is an integer, then x(x – 1)(x – k) must be evenly divisible by five when k is any of the following values EXCEPT
A.-4
B.-2
C.2
D.-1
Answer: C.2
Explanation: We have the product of 3 integers: (x-1)x(x-k).
Note that the product of 3 integers is divisible by 5 if at least one multiple is divisible by 5. Now, to guarantee that at least one integer out of x, (x – 1), and (x – k) is divisible by 5 these numbers must have different remainders upon division by 5, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 5.
Next, if k=2 then we'll have (x-1)x(x-k)=(x-1)x(x-2) --> which means that (x-1) and (x-2) will have the same remainder upon division by 5. Thus for k=2 we won't be sure whether (x-1)x(x-k) is divisible by 5.
Answer: C.
Question: A hen leaps 3 leaps for every 2 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck?
A.2:1
B.3:4
C.4:3
D.1:4
Answer: A.2:1
Explanation: Given;
4 duck = 3 hen;
Or, duck/hen = 3/4;
Let hen's 1 leap = 4 meter and ducks 1 leap = 3 meter.
Then, ratio of speed of hen and duck = 4*3/3*2 = 2:1''Answer: 2:1;
Question: What is the fraction in the simplest form of the terminating decimal 0.0325?
A.31/40
B.41/30
C.13/40
D.1/30
Answer: C.13/40
Explanation: The fraction of the decimal 0.0325 is 325/10000. Simplifying by dividing the top and bottom by 25 to get 13/40.
Option C
Question: How many multiples of 4 are there between 12 and 104, inclusive?
A.21
B.22
C.23
D.24
Answer: D.24
Explanation: The multiples of 4 are from 4*3 up to 4*26.
26-3+1 = 24.
The answer is D.
Question: How many integers from 101 to 800, inclusive, remains the value unchanged when the digits were reversed?
A.50
B.60
C.70
D.80
Answer: C.70
Explanation: first digit possibilities - 1 through 7 = 7
8 is not possible here because it would result in a number greater than 8 (i.e 808 , 818..)
second digit possibilities - 0 though 9 = 10
third digit is same as first digit
=>total possible number meeting the given conditions = 7 *10 = 70
Answer is C.
Question: For which of the following functions f is f(a) = f(1-a) for all a?
A.f (x) = 1 - x
B.f (a) = 1 - a^2
C.f (a) = a^2 - (1 - a)^2
D.f (a) = a^2*(1 - a)^2
Answer: D.f (a) = a^2*(1 - a)^2
Explanation: I remember seeing this problem in a GMATprep test. I think choice D should be F(a)=(a^2) (1-a)^2. If that is true then substituting (1-a) for will give us the same function back and the answer choice is D, where the function is multiplicative
Question: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 36, what is the value of a?
A.21
B.24
C.25
D.27
Answer: B.24
Explanation: Let a=2k, b=3k, and c=4k.
a+b+c = 2k+3k+4k = 9k
Since the average is 36:
9k/3 = 36
3k = 36
k=12
Then a=24.
The answer is B.
Question: Three medical experts, working together at the same constant rate, can write an anatomy textbook in 18 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 9 days?
A.2
B.3
C.5
D.8
Answer: B.3
Explanation: Each expert can write 1/54 of the book per day.
To complete the book in 9 days, we need 54/9 = 6 experts, thus 3 more experts are needed.
The answer is B.
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.Rs.1000
B.Rs.1009
C.Rs.1007
D.Rs.1006
Answer: A.Rs.1000
Explanation: Explanation:
90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer:A
Question: How many words can be formed by using all letters of the word ‘BIHAR’ ?
A.110
B.120
C.130
D.140
Answer: B.120
Explanation: Solution
The word BIHAR contains 5 different letters.
Required number of words = 5P5 = 5 ! = (5 x 4 x 3 x 2 x 1) = 120, Answer B
Question: Two discounts of 40% and 20% equal to a single discount of?
A.52%
B.48%
C.60%
D.80%
Answer: A.52%
Explanation: {[(100-40)/100]*[(100-20)/100]}%=(60*80)/(100*100)%
=48%
single discount is equal to (100-48)%=52%
ANSWER A 52%
Question: In a recent election, James received 5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?
A.901
B.989
C.990
D.991
Answer: A.901
Explanation: James = (5/100)*2000 = 100
Votes to win = (50/100)*Total Votes +1 = (50/100)*2000 +1 = 1001
Remaining Voted needed to win election = 1001 - 100 = 901
Answer: option A
Question: In a certain pond, 70 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
A.400
B.625
C.1,750
D.2,500
Answer: C.1,750
Explanation: This is a rather straight forward ratio problem.
1. 70 fish tagged
2. 2 out of the 50 fish caught were tagged thus 2/50
2/50=70/x
thus, x=1750
Think of the analogy: 2 fish is to 50 Fish as 50 fish is to ...?
You've tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch.
C
Question: If pqr = 1, the value of the expression (1 / ( 1 + p + q-1)) + (1 / ( 1 + p + r-1)) + (1 / ( 1 + p + p-1))
A.p + q + r
B.1/ (p + q + r )
C.1
D.p ^ (-1) + q ^ (-1) + r ^ (-1)
Answer: C.1
Explanation: Explanation :
If p = q = r = 1, then expression = 1
Check the choice only, one choice gives the value of expression = 1.
Answer : C
Question: How many different numbers can we have by changing the position of the digits of the number 718844?
A.15
B.90
C.180
D.360
Answer: C.180
Explanation: Permutation in a group where there are repeated elements = n!/(p! * p2! *...*pn!); where p1, p2, .., pn are the number of times the element is repeated.
So, here required numbers = 6!/(2! * 2!) since we have 6 digits and 8 and 4 are each repeated twice.
= 180
Hence option C
Question: A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
A.1400
B.1500
C.1600
D.1200
Answer: B.1500
Explanation: Explanation:
Assume that the total profit is xx
since 5% goes for charity, 95% of xx will be divided between A and B in the ratio 3:2
Therefore, A's profit =95x 100×35
Given that A's share is Rs. 855. Therefore,
95 x 100×35=855
⇒95x100=855×53=285×5=1425
⇒x=1425×10095=285×10019=1500
Hence the total profit = 1500
Answer: Option B
Question: A,B,C can complete a piece of work in 16,6,12 days. Working together, they complete the same work in how many days?
A.2
B.48/15
C.7/9
D.10
Answer: B.48/15
Explanation: A+B+C 1day work = 1/16 + 1/6 + 1/12 = 15/48
A,B,C together will complete the job in 48/15 days
Answer is B
Question: The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
A.1:9
B.1:2
C.1:8
D.1:1
Answer: C.1:8
Explanation: 1:8
Answer:C
Question: A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.117 Kmph
B.178 Kmph
C.126 Kmph
D.118 Kmph
Answer: C.126 Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 700/20
S = 35 M/Sec
Speed= 35*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 126 Kmph
Answer: C
Question: A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the
work but are forced to leave after 3 days. The remaining work done by A in:
A.15
B.12
C.10
D.16
Answer: C.10
Explanation: (B+C)'s one day's work=1/9+1/12=7/36
Work done by B & C in 3 days=3*7/36=7/12
Remaining work=1-(7/12)=5/12
Now , 1/24 work is done by A in 1 day.
So, 5/12 work is done by A in 24*5/12=10 days
ANSWER C
Question: A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'a', the number of 5's that he uses is 'b' and the number of 8's he uses is 'c'.
What is the value of b+c−a?
A.280
B.380
C.180
D.80
Answer: B.380
Explanation: We can see by symmetry b=c and hence all we need to calculate b and a
b=280 and a=180
⇒ 2b−a= 380
Option(B)
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
A.288
B.2778
C.279
D.450
Answer: D.450
Explanation: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450
Answer:D
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 720 meters in length?
A.28
B.27
C.55
D.59
Answer: D.59
Explanation: T = (720 + 165)/54 * 18/5
T = 59
Answer: D
Question: Which number should replace both the asterisks in (* /18) x (*/162) = 1 ?
A.27
B.36
C.54
D.72
Answer: C.54
Explanation: Let (y/18) x (y/162) = 1
y^2 = 18 x 162 = 18 x 18 x 9
y = (18 x 3) = 54
The answer is C.
Question: Of all the homes on Gotham Street, 2/3 are termite-ridden, and 1/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
A.a) 2/15
B.b) 8/15
C.c) 4/5
D.d) 2/5
Answer: B.b) 8/15
Explanation: let total homes be 15
termite ridden= 2/3(15)= 10
termite ridden and collapsing = 1/5(10)=2
thus homes that are termite ridden, but not collapsing = 10-2=8
thus required ratio = 8/15
Answer B
Question: How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: Taking the sum of the digits, we have:
S1=9, S2=12, S3=18, S4= 9, S5=21, S6= 12, S7=18, S8=21, S9=15, S10=24.
Clearly S2, S5, S6, S8, S9, S10 are all divisible by 3 but not by 9. So, the number of required numbers= 6.
ANSWER:B
Question: How many W ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
A.6C4
B.6P4
C.4^6
D.6^4
Answer: C.4^6
Explanation: Each marble has 4 options, so there are total of W=4*4*4*4*4*4=4^6 ways.
Answer: C.
The total number of ways of dividing n identical items among r persons, each one of whom, can receive 0,1,2 or more items is (n+r -1)C(r-1).
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
A.27782
B.12800
C.28892
D.26702
Answer: B.12800
Explanation: 16*8: x*4 = 5:2
x = 12.8 => Rs.12800
Answer: B
Question: A 15% stock yielding 12% is quoted at:
A.s. 83.33
B.s. 110
C.s. 112
D.s. 125
Answer: D.s. 125
Explanation: Income of Rs 12 on investment of Rs 100
Income of Rs 15 on investment of ?
= (15*100)/12=125
ANSWER:D
Question: How much water must be added to 64 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
A.16 litres
B.12 litres
C.15 litres
D.18 litres
Answer: A.16 litres
Explanation: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3
∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4
∴ Quantity of water to be added to 64 litres of milk
= (1⁄4 × 64) litres = 16 litres.
Answer A
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
A.22
B.71
C.54
D.77
Answer: C.54
Explanation: S = 240/16 * 18/5 = 54 kmph
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then 5xy/3 =?
A.A) 5
B.B) 2
C.C) 17/5
D.D) 18/5
Answer: A.A) 5
Explanation: 2*(x+2y = 5) equals 2x+4y=10
2x+4y=10
- 2x + y= 7
= 3y=3
Therefore Y = 1
Plug and solve...
2x + 1 = 7
2x=6
x=3
(5*3*1)/3
= 15/3
=5
A
Question: The difference between a number and its two-fifth is 510. What is 50% of that number?
A.426
B.425
C.427
D.428
Answer: B.425
Explanation: Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
50% of 850 = 425.
Answer:B
Question: A soccer coach is preparing his starting lineup of 11 players chosen from 15 players. He considers 8 of his players good at defense and 7 of his players good at offense. If he wants to pick 6 players best at defense and 5 players best at offense, how many different ways can he do this?
A.264
B.328
C.460
D.588
Answer: D.588
Explanation: (8c6)*(7c5)
[8!/(6!*2!)]*[7!/(5!*2!)]
28*21
588
D
Question: A certain company has budgeted $1380 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $250, how much was the company under budget or over budget?
A.$95 under budget
B.$35 under budget
C.$35 over budget
D.$95 over budget
Answer: A.$95 under budget
Explanation: The budget for 3 months is (3/12)*$1380 = $345
The company is $95 under budget.
The answer is A.
Question: The average mark of a class of twenty two students is 65. If four students whose marks are 25, 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.
A.71
B.73
C.57
D.70
Answer: B.73
Explanation: Exp. Total mark of 22 students = 65*22 = 1430,
Total mark after the removal of 4 students = 1430 –(25+32+28+34 )
= 1430 – 119 = 1311
Approximate average mark = 1311/(22-4) = 1311/ 18 = 73
Answer: B
Question: A factory produces 6000 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
A.4436 toys
B.1500 toys
C.6113 toys
D.2354 toys
Answer: B.1500 toys
Explanation: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 4 days) by 4.
6000 /4 = 1500 toys
correct answer B
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: B->1
G->5
P->x; 5<x<11
R->11
NOW, 88000=11*8^2*5^4*1^n
hence
no of balls drawn,
B= CANT BE DETERMINED
G= 4
P= 2 (Only possible value is 8 )
R= 1
hence B
Question: Of the 400 members at a health club, 260 use the weight room and 300 use the pool. If at least 80 of the members do not use either, then the number of members using both the weight room and the pool must be between:
A.40 to 100
B.240 to 280
C.230 to 260
D.240 to 260
Answer: D.240 to 260
Explanation: W=260
P=300
ALL=400
N(NEITHER)=AT LEAST 80
BOTH=?
W+P-BOTH+N=ALL
260+300-BOTH+80=400
BOTH=240
now pay attention to the fact, that both at most can be 260, since W=260
D
Question: What is the smallest integer k for which 64^k > 4^19?
A.4
B.5
C.6
D.7
Answer: D.7
Explanation: 64^k > 4^19
4^(3k) > 4^19
3k > 19
k = 7
The answer is D.
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
A.20 cm
B.15 cm
C.30 cm
D.40 cm
Answer: A.20 cm
Explanation: 1: 2/5 = 5: 2
2/7 * 70 = 20
ANSWER A
Question: There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning?
A.12.
B.9.
C.8.
D.7.
Answer: C.8.
Explanation: 8 = 3 blue balls + 15 / 3
Answer: C
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.18:11
B.18:15
C.14:11
D.18:67
Answer: A.18:11
Explanation: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11.Answer: A
Question: If each term in the sum Q=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
A.38
B.39
C.40
D.41
Answer: C.40
Explanation: Min value of 'n' can be 10 i.e 4*22+6*12 =Q=> 22+22+22+22+2+2+2+2+2+2 = 100
Since we don't have 10 in the options proceed further, (10-1)+22/2 => 20 digits, which is again not in the options
(20-1) + 22/2 = 30 digits ( not in options)
(30-1) + 22/2 = 40 digits
Hence C.
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A.33
B.88
C.27
D.10
Answer: D.10
Explanation: 4/12 + x/15 = 1
x = 10
Answer:D
Question: There are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
A.2
B.4
C.8
D.59
Answer: D.59
Explanation: lets assign variables to all the areas in Venn Diagram of Three.
three different Units are DOG, Cat, Snake= Total = 89
Only Dog= d=15
Only Cat = c=10
Only Snake = s
Exactly Dog and Cat= 5
Exactly Dog and Snake = x
Exactly Cat and Snake = y
all three= 3
so 89=15+10+5+3+x+y+s
we need to know total snakes= x+y+s+3 = 59
answer:D
Question: David is able to sell a hand-carved statue for $1150 which was a 15% profit over his cost. How much did the statue originally cost him?
A.$496.30
B.$512.40
C.$1000
D.$574.90
Answer: C.$1000
Explanation: Cost price = 1150/115*100 = 1000
Answer : C
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 7 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
A.20cs
B.cs/2
C.84cs
D.(2cs)/12
Answer: C.84cs
Explanation: Ans: C
Solution: simple multiplication s students , c classes , 7 books/ month= 84 books a year
total number of books = 84cs
Question: A sum of money place at compound interest doubles itself in 6 years. In how many years will it amount to eight times itself?
A.6
B.12
C.18
D.24
Answer: C.18
Explanation: 100 ---- 200 ---- 6
400 ---- 6
800 ---- 6
------
18 years
Answer: C
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A.5
B.2
C.9
D.7
Answer: B.2
Explanation: 1250 = D(100/4)2
D = 2
Answer: B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
A.8118
B.8127
C.8618
D.8112
Answer: D.8112
Explanation: A = 7500(26/25)2
= 8112
Answer: D
Question: There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
A.1/3
B.1/4
C.1/2
D.1/5
Answer: A.1/3
Explanation: taking 2 red shoe the probablity is 6C2
from 10 shoes probablity of taking 2 red shoe is 6C2/10C2=1/3
ANSWER:A
Question: 7 teams compete in a track competition. If there are 17 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: 3(max wins) x 5 = 15 (5 teams win three events)
One team wins the other two events.
The answer is D.