RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In an election between two candidates, the first candidate got 80% of the votes and the second candidate got 240 votes. What was the total number of votes?
A.600
B.900
C.1200
D.1500
Answer: C.1200
Explanation: Let V be the total number of votes.
0.2V = 240
V = 1200
The answer is C.
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
A.10 2/5
B.10 2/0
C.10 2/3
D.10 2/1
Answer: C.10 2/3
Explanation: 2/10 + 4/15 + x/20 = 1
x = 32/3 = 10 2/3 Answer: C
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $35. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A.180xy
B.180/(xy)
C.20xy
D.315/(xy)
Answer: D.315/(xy)
Explanation: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 35 / (xy/9) = 315/(xy).
The answer is D.
Question: If x and b are integers and (15^x + 15^(x+1))/4^b = 15^b what is the value of x?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: \frac{15^x( 1+ 15)}{4^b} = 15^b
(15^x . 4^2 ) / 4^b = 15^b. 4^0
15^x . 4^(2-b) = 15^b. 4^0
Equating the powers, x = b; 2-b = 0; So x = b = 2=A
Question: Out of 6 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
A.1/15
B.10/13
C.21/15
D.15/21
Answer: A.1/15
Explanation: The number of exhaustive events = 6C2 = 15.
Let E be event of the 2 fruits being rotten. The number of favourable cases are
2C2 = 1 way.
Required probability = 1/15.
ANSWER:A
Question: What is the difference between the banker's discount and the true discount on Rs.8100 for 3 months at 5%
A.Rs. 2
B.Rs. 1.25
C.Rs. 2.25
D.Rs. 0.5
Answer: B.Rs. 1.25
Explanation: Explanation :
F = Rs. 8100
R = 5%
T = 3 months = 1/4 years
BD = FTR/100 = (8100 × (1/4) × 5)/100 = 2025/20 = 405/4 = Rs. 101.25
TD = FTR/(100+TR) = (8100 × (1/4) × 5)/(100 + (1/4 × 5) = (2025 × 5)/(100+(5/4))
= (2025 × 5 × 4)/(400+5) = (2025 × 5 × 4)/405 = (405 × 5 × 4)/81 = (45 × 5 × 4)/9
= 5 × 5 × 4 = Rs. 100
BD - TD = Rs. 101.25 - Rs. 100 = Rs. 1.25 Answer : Option B
Question: There are 24 students in a class one of them who is 18 years old left the class and a new comer filled his place. If the avg age of the class was there by lowered by one month . The age of new comer is
A.14years
B.15years
C.16 years
D.17 years
Answer: C.16 years
Explanation: Let new comer age was x.
Average age decreased by = 1 month = 1/12 years.
You can use this formula for these type of problems.
No. of students in class* aged decreased = difference of replacement
24 * 1/12 = 18 - x
2 = 18 - x
x = 16 years.
Age of new comer age was 16 years.
Answer: Option C
Question: The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.
A.$0.94
B.$0.96
C.$0.98
D.$1.00
Answer: B.$0.96
Explanation: Assume the manager bought 100 tomatoes.
Cost Price = 80
Given: 10% are damaged --> Available tomatoes to sell = 90
90 * x - 80 = 0.08 * 80
90x - 80 = 6.4
90x = 86.64
x = 86.64/90 = 87/90 (approx) = 29/30 = 0.966
x is slightly under 0.9666 = 0.96
Answer: B
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
A.1 1/8 days
B.1 1/2 days
C.3 1/2 days
D.1 1/5 days
Answer: B.1 1/2 days
Explanation: 3/20 * 2 + (2 + x)/5 = 1
x = 1 1/2 days
Answer:B
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
A.5 : 3
B.2 : 6
C.5 : 6
D.6 : 4
Answer: A.5 : 3
Explanation: Let 40% of A =(2/3)B
Then,40A/100=2B/3
2A/5=2B/3
A/B =(2/3 x 5/2) = 5/3
A : B = 5 : 3.
ANSWER A
Question: Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.2030?
A.Rs.2000
B.Rs.1750
C.Rs.2010
D.Rs.2005
Answer: B.Rs.1750
Explanation: Explanation:
2030 = P [1 + (5*16/5)/100]
P= 1750
Answer: Option B
Question: If the cost of 12 books is equal to the selling price of 10 books, the profit per cent in the transaction is
A.16 2/3%
B.18%
C.20%
D.25%
Answer: C.20%
Explanation: Let C.P. of 12 books = Rs 12
Therefore, S.P. of 10 books = Rs 12
C.P. of 10 books = Rs 10
Therefore, Profit = 20%
ANSWER:C
Question: A basket contains one dozen flowers. 7 of the flowers are Roses, three are sunflowers, and two are jasmine. If two flowers are randomly selected from the basket, one after the other, what is the probability that both will be rose flower?
A.1/11
B.11/4
C.7/22
D.5/4
Answer: C.7/22
Explanation: Probability of getting the first Rose flower - 7/12
Probability of getting the second Rose flower - 6/11
total probability = 7/12*6/11 = 7/22
correct option C
Question: Tom and Jerry enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Tom received $800 more than Jerry did, what was the profit made by their business in that year?
A.3000
B.4000
C.5000
D.6900
Answer: A.3000
Explanation: Say the profit was $x.
Tom share = x/6 (half of the third) + (x-x/3)*0.7
Jerry share = x/6 (half of the third) + (x-x/3)*0.3
Thus (x-x/3)*0.7-(x-x/3)*0.3=800 --> x=3000.
answer is A
Question: A train 350 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.20 sec
Answer: D.20 sec
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec
ANSWER: D
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A.12 days
B.15 days
C.16 days
D.18 days
Answer: B.15 days
Explanation: A's 2 day's work = (1/20 * 2) = 1/10
(A + B + C)'s 1 day's work = (1/20 + 1/30 + 1/60) = 6/60 = 1/10
Work done in 3 days = (1/10 + 1/10) = 1/5
Now, 1/5 work is done in 3 days.
Whole work will be done in (3 x 5) = 15 days.
Answer = B
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is
A.2 : 9
B.2 : 3
C.2 : 2
D.2 : 1
Answer: B.2 : 3
Explanation: Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.4 = (k + 1) * 15.8
<=> (16.4 - 15.8) k = (15.8 - 15.4) <=> k = 0.4/0.6 = 2/3.
Required ratio = 2/3 : 1 = 2 : 3.
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A.24/455
B.3/91
C.12/455
D.15/91
Answer: C.12/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (²C₁)(⁴C₂)/¹⁵C₃
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455
ANSWER:C
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
A.6
B.8
C.9
D.5
Answer: B.8
Explanation: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A.30 km/hr
B.45 km/hr
C.60 km/hr
D.75 km/hr
Answer: C.60 km/hr
Explanation: Explanation:
Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/8 = 3x => x = 25/3.
So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr.
ANSWER IS C
Question: If a - b = 6 and a2 + b2 = 48, find the value of ab.
A.8
B.10
C.12
D.6
Answer: D.6
Explanation: 2ab = (a2 + b2) - (a - b)2
= 48 - 36 = 12
ab = 6.
Answer: D
Question: The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
A.2000
B.3000
C.4000
D.5000
Answer: C.4000
Explanation: Explanation:
Let monthly income of A = a
monthly income of B = b
monthly income of C = c
a + b = 2 × 5050 .... (Equation 1)
b + c = 2 × 6250 .... (Equation 2)
a + c = 2 × 5200 .... (Equation 3)
(Equation 1) + (Equation 3) - (Equation 2)
=> a + b + a + c - (b + c) = (2 × 5050) + (2 × 5200) - (2 × 6250)
=> 2a = 2(5050 + 5200 - 6250)
=> a = 4000
i.e., Monthly income of A = 4000
Answer: Option C
Question: Express the ratio 3 2/3 : 7 1/3 in its simplest form.
A.1:21
B.1:1
C.2:1
D.1:2
Answer: D.1:2
Explanation: Solution
We first convert the mixed numbers 3 2/3 and 7 1/3 into fractions
3 2/3 = 3*3 / 3 + 2 / 3 = 11 / 3
7 1/3 = 7*3 / 3 + 1 / 3 = 22 / 3
The ratio 3 2/3 : 7 1/3 can be expressed as
11 / 3 ÷ 22 / 3 = 11 / 3 × 3 / 22
Simplify
= 11 / 22 = 1 / 2
The ratio is 1 / 2 or 1:2
ANSWER IS D
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 2.10 km and 1.4 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.99
B.277
C.84
D.96
Answer: C.84
Explanation: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 2.10 + 1.4 = 3.5 km = 3500 m.
Required time = 3500 * 3/125 = 84 sec.
Answer:C
Question: What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
A.0
B.2
C.3
D.5
Answer: A.0
Explanation: Explanation:
Unit digit in (6374)1793 = Unit digit in (4)1793
= Unit digit in [(42)896 x 4]
= Unit digit in (6 x 4) = 4
Unit digit in (625)317 = Unit digit in (5)317 = 5
Unit digit in (341)491 = Unit digit in (1)491 = 1
Required digit = Unit digit in (4 x 5 x 1) = 0.
ANSWER IS A
Question: Last year a worker saved 10% of her annual salary. This year, she made 10% more money than last year and she saved 12% of her salary. The amount she saved this year was what percent of the amount she saved last year?
A.126%
B.128%
C.130%
D.132%
Answer: D.132%
Explanation: Let x be the worker's salary last year.
Last year, she saved 0.1x.
This year, she saved 0.12(1.1x)=0.132x
0.132x/0.1x=132%
The answer is D.
Question: Today is Thursday. The day after 59 days will be?
A.Monday
B.Tuesday
C.Saturday
D.Sunday
Answer: D.Sunday
Explanation: Explanation :
59 days = 8 weeks 3 days = 3 odd days
Hence if today is Thursday, After 59 days, it will be = (Thursday + 3 odd days)
= Sunday
Answer : Option D
Question: Father is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A.20 years
B.21 years
C.22 years
D.28 years
Answer: C.22 years
Explanation: age consider as x
(x + 24) + 2 = 2(x + 2)
x + 26 = 2x + 4
x = 22.
ANSWER C
Question: 4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 24. What is half of that number?
A.670
B.750
C.945
D.375
Answer: C.945
Explanation: Let no. be x
4/15*5/7*x - 4/9*2/5*x =8
by further solving
20x/105- 8x/45=8
4x/315=24
x=1890
we have to find x/2
=1890/2=945
ANSWER:C
Question: If pq > 0, which of the following must be negative?
A.p/q
B.-p/q
C.-p/-q
D.-p * -q
Answer: B.-p/q
Explanation: Given pq> 0 So both will be the positive integers. If both are positive, then A,C,D,E also positive.
Answer :B
Question: The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theboundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
A.143530 m
B.145600 m
C.153600 m
D.134500 m
Answer: C.153600 m
Explanation: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
A.(2^96 + 1)
B.(2^16 + 1)
C.(2^95 + 1)
D.(2^95 - 1)
Answer: A.(2^96 + 1)
Explanation: Let 232 = x. Then, (232 + 1) = (x + 1).
Let (x + 1) be completely divisible by the natural number N. Then,
(296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.
A)
Question: The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
A.14000
B.14400
C.14500
D.14600
Answer: B.14400
Explanation: Formula :
( After =100 denominator
Ago = 100 numerator)
10000 × 120/100 × 120/100 = 14400
B
Question: A=√[2√63 + 2/(8+3√7)] =
A.8 + 3√7
B.4 + 3√7
C.8
D.4
Answer: D.4
Explanation: In these type of question u multiply the nominator and denominator with conjugate...Conjugate of 8 +3sqrt(7) is 8 -3sqrt(7)
sqrt[2sqrt(63) + 2 { 8 - 3sqrt(7)}/{64 - 63}]
A=sqrt[2sqrt(63) +16 - 2sqrt(63)] =4
Answer is 4.D
Question: A train 100 m long crosses a platform 180 m long in 14 sec; find the speed of the train?
A.72 kmph
B.58 kmph
C.54 kmph
D.94 kmph
Answer: A.72 kmph
Explanation: D = 100 + 180 = 280
T = 14
S = 280/14 * 18/5 =72 kmph
Answer:A
Question: As x increases from 169 to 155, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x)
A. I only
B. III only
C. I and II
D. I and III
Answer: B. III only
Explanation: I. 2x - 5 --> x decreases from 169 to 155 --> 2x decreases --> 2x - 5 decreases.
II. 1 - 1/x --> x decreases from 169 to 155 --> 1/x increases --> 1 -1/x decreases.
III. 1/(x^2 - x) --> x decreases from 169 to 155 --> x^2-x decreases --> 1/(x^2 - x) increases.
Answer: B.
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
A.1500
B.1528
C.1298
D.1528
Answer: A.1500
Explanation: P = 15(100/10)2
=> P = 1500
Answer: A
Question: What is the number of 7-element subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9}
for which the sum of those 7 elements is a multiple of 3 ?
A.10
B.11
C.12 number
D.13
Answer: C.12 number
Explanation: We describe 2 solutions. Let S = {1, 2, . . . , 9}. Observe that the sum of the elements of S
is divisible by 3. So the problem is the same as asking for the number of ways that 2 elements
of S can be chosen so that their sum is divisible by 3 (the other 7 elements of S correspond to a
7-element set as in the problem). Choosing 2 elements of S with sum divisible by 3 corresponds
to either choosing 2 numbers divisible by 3 (which can be done in 3 ways) or choosing 1 number
that is one more than a multiple of 3 and 1 number that is one less than a multiple of 3 (which can
be done in 3 · 3 = 9 ways). Hence, the answer is 3 + 9 = 12.
correct answer C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg, what is his percent?
A.11%
B.25%
C.29%
D.55%
Answer: A.11%
Explanation: 900 --- 100
100 --- ? => 11.11%
Answer: A
Question: A bag holds 2 blue marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be blue?
A.1/12
B.1/10
C.3/10
D.2/5
Answer: B.1/10
Explanation: Given: 2B and 3 G marbles
Required: Probability that 2 marbles removed without replacement are both blue
Initially we have to pick one red from a total of 2 blue and 3 green marbles
After one blue has been picked, we need to pick 1 blue from a total of 1 blue and 3 green marbles.
P(Both blue) = (2/5)*(1/4) = 1/10
Option B
Question: If n is an integer greater than 6, which of the following must be divisible by 2?
A.1. n (n+1) (n-4)
B.2. n (n+2) (n-1)
C.3. n (n+3) (n-5)
D.4. n (n+4) (n-2)
Answer: B.2. n (n+2) (n-1)
Explanation: We need to find out the number which is divisible by three,
In every 3 consecutive integers, there must contain 1 multiple of 3.
So n+4 and n+1 are same if we need to find out the 3's multiple. replace all the numbers which are more than or equal to three
1. n (n+1) (n-4) = > n(n+1)(n-1) = > (n-1)n(n+1)
2. n (n+2) (n-1) = > n(n+2)(n-1) = > (n-1)n(n+1)
3. n (n+3) (n-5) = > n(n+0)(n-2) = > (n-2)n(n)
4. n (n+4) (n-2) = > n(n+1)(n-2) = > (n-2)n(n+1)
5. n (n+5) (n-6) = > n(n+2)(n-0) = > (n)n(n+2)
from the above onlyoption Ais product of consecutive three numbers.
B
Question: The original price of a car was $25,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 5%. After a week, the car had not sold, so the owner discounted the new price by 5%, and the car was finally sold. What price was the car sold for?
A.$24,937.50
B.$24,948.50
C.$24,954.50
D.$24,958.50
Answer: A.$24,937.50
Explanation: The car was sold for (0.95)(1.05)($25000)=$24,937.50
The answer is A.
Question: The average of first seven prime numbers:
A.5.6
B.11.2
C.12.9
D.8.2
Answer: D.8.2
Explanation: Explanation:
The first seven prime numbers is 2, 3, 5, 7, 11, 13, 17
Average = 58/7 = 8.2
Answer: Option D
Question: Kanul spent $3000 in buying raw materials, $1000 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount?
A.$5825.16
B.$5725.26
C.$5714.28
D.$5912.52
Answer: C.$5714.28
Explanation: Let the total amount be x
then, (100-30)% of x = 3000+1000
70% of x = 4000
70x/100 = 4000
x = $40000/7
x = $5714.28
Answer is C
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
A.23.77 cm
B.23.47 cm
C.83.57 cm
D.23.57 cm
Answer: D.23.57 cm
Explanation: Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circimference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14
= 23.57 cm to two decimal places
Answer:D
Question: If d is an even integer and d/18 is an odd integer, which of the following is NOT an even integer?
A.(d^2)/54
B.(d^2)/20
C.(d^2)/9
D.(d^2)/6
Answer: B.(d^2)/20
Explanation: since d is an even integer and d/18 is an odd integer. thus maximum power of 2 in a is one. why ?? because if the power of 2 in the expression has been 2 or greater, then the d/18 must have been an even integer. (18=2*3^2. as 18 contain only one 2 in the expression)
now, any expression in which we have 4 at the denominator will be odd. out of the given options only 12 is a multiple of 4. hence answer should be B
Question: The largest 4 digit number exactly divisible by 88 is:
A.3377
B.2255
C.7732
D.9944
Answer: D.9944
Explanation: D
9944
Divide largest four digit number 9999 by 88. You get 113.625.
Obviously 113 would be exactly divisible so we want to know what that number is.
We get this by multiplying 113 with 88 = 9944
Question: A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x?
A.1/5
B.1/3
C.1/2
D.1
Answer: A.1/5
Explanation: Concentration of salt in pure solution = 0
Concentration of salt in salt solution = 60%
Concentration of salt in the mixed solution = 10%
The pure solution and the salt solution is mixed in the ratio of --> (60 - 10)/(10 - 0) = 5/1
1/x = 5/1
x = 1/5
Answer: A
Question: Which of the following data sets has the smallest standard deviation?
A. {3, 3, 3, 3, 3}
B. {2, 3, 3, 3, 4}
C. {2, 2, 2, 4, 5}
D. {0, 2, 3, 4, 6}
Answer: A. {3, 3, 3, 3, 3}
Explanation: since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..
The SIMILARITY is - the SUM of all sets is equal =15..
and hence average = 15/5 = 3...
Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..
clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..
Next is D, which has a range of 6-0 or 6..
and (A) {3, 3, 3, 3, 3} has smallest standard of deviation.
ans A
Question: A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field?
A.5 days
B.6 days
C.7 days
D.8 days
Answer: B.6 days
Explanation: Area of the field grazed = [22/7*14*14]sq.ft. = 616 sq.ft.
Number of days taken to graze the field = 616/100 days
=> 6 days
ANSWER:B
Question: The digit in the unit’s place of a number is equal to the digit in the ten’s place of half of that number and the digit in the ten’s place of that number is less than the digit in unit’s place of half of the number by 1. If the sum of the digits of number is 7, then what is the number
A.34
B.49
C.162
D.52
Answer: D.52
Explanation: Let the ten’s digit be x and unit’s digit be y
Then, (10x+y)/2=10y+(x+1)
8x-19y=2
And x+y=7
X=5 and y=2
Then reqired number is 52
Option D
Question: A local bank that has 14 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 14 codes?
A.3
B.4
C.5
D.14( ( 2 integers 4 codes)
Answer: D.14( ( 2 integers 4 codes)
Explanation: Pick any two integer.
Integers: 12
Code: 11, 12, 21, 22 = 4 Codes
Add one more integer: 3
13, 31, 33, 23, 32 = 5 Codes
Add one more integer: 4
44, 14, 41, 24, 42, 34, 43 = 7 Codes
Total = 16 Codes. Enough. Answer: D
4 integers create 14 codes.
Question: Marie's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
A.7cdx/100
B.d + 7cx/100
C.7d + 7xc/100
D.7d + xc/100
Answer: C.7d + 7xc/100
Explanation: Answer is C. Straightforward question.
Question: A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is?
A.700 kg
B.500 kg
C.600 kg
D.800 kg
Answer: C.600 kg
Explanation: By the rule of alligation:
Profit of first part Profit of second part
So, ratio of 1st and 2nd parts = 4 : 6 = 2 : 3.
Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg
Answer: C
Question: A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 20 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?
A.j/83
B.7j/500
C.140j
D.j/100+40
Answer: A.j/83
Explanation: lets take j=1000, as decided by you..
now 20% increase makes it 1200..
this is the price for 100 jackets, so selling price for each jacket=1200/100=$12..
=j/83
so ans is correct as A..
Question: If R is an integer greater than 6, which of the following must be divisible by 3?
A.R(R+1)(R-4)
B.N(N+2)(N-1)
C.N(N+3)(N-5)
D.N(N+4)(N-2)
Answer: A.R(R+1)(R-4)
Explanation: Now take R = 3k , R = 3k+1 R = 3k+2..put in all the choices. If by putting all the values of R we get it is divisible by 3, then it is correct answer choice.
A is correct. It will hardy take 10 sec per choice as we have to consider only 3k+1 and 3k+2.
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A.16 2/6%
B.16 9/3%
C.16 2/3%
D.16 3/3%
Answer: C.16 2/3%
Explanation: 10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
Answer:C
Question: If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 72, Find x and y ?
A.x=4,y=8
B.x=4,y=9
C.x=16,y=64
D.x=4,y=9
Answer: C.x=16,y=64
Explanation: 16+64=80
when reversed 08
80-8=72
x=16,y=64
ANSWER:C