RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P +9, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)
A.41
B.47
C.58
D.65
Answer: A.41
Explanation: Since one inch is approximately 2.54 centimeters, then N centimeters is N/2.54 inches.
Next, since the American size (P inches) is twice the Italian size (N/2.54 inches), then P=2*N/2.54.
As given that N = P + 9, then N=2*N/2.54+9--> N=~41.
Answer: A.
Question: Which of the following is closest to 1/8+1/88+1/888
A.1/8
B.1/2.5
C.1/5
D.1/7.3
Answer: D.1/7.3
Explanation: 1/8+1/88+1/888=0.125+0.01136+0.001126=0.137486=1/7.3
Answer D
Question: X Y
+Y X
________
The sum of the two digit numbers above is a three digit number PQ6, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X?
I)	7
II)	8
III)	9
A.I only
B.II only
C.III only
D.I , II and III
Answer: D.I , II and III
Explanation: it can be a combination of 9,7 or 8,8
I choose D as an answer.
Question: At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 145 male associates, how many female managers are there?
A.15
B.20
C.25
D.30
Answer: C.25
Explanation: 250 Employees:
90 Male, 160 Female
40 Managers, 210 Associates
145 Male Associates implies 65 Female Associates which means the remaining 25 females must be Managers
C. 25
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
A.33
B.28
C.24
D.97
Answer: C.24
Explanation: Explanation:
2c = Â¼ + 1/6 â€“ 1/3 = 1/12
c = 1/24 => 24 days
Answer:C
Question: If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio J of the resistors’ sum of A and C to the resistors’ sum of A and B?
A.2(R1+R2):(R1+2R2)
B.(R1+R2):(R1+2R2)
C.(2R1+R2):(R1+2R2)
D.2(R1+R2):(2R1+R2)
Answer: A.2(R1+R2):(R1+2R2)
Explanation: two resistors A (r1) and B (r2).
total or sum of two resistors appear as
r1r2/r1+r2. It is looks like inversion of sum of rates.
1/r1+1/r2= r1+r2/r1r2.
same way sum of A(r1) and c(2r2)=1/r1+1/2r2
=2r2+r1/r12r2.
inversion rate = r12r2/2r2+r1.
ratio J of sum of a and c/sum of a and b=2r2r1/2r2+r1*r1+r2/r1r2
=2(r1+r2)/2r2+r1.A
Question: Seven men and seven women have to sit around a circular table so that no 2 women are together. In how many ways can that be done?
A.5!*6!
B.6!*6!
C.5!*7!
D.6!*7!
Answer: D.6!*7!
Explanation: The number of arrangements of n distinct objects in a row is given by n!.
The number of arrangements of n distinct objects in a circle is given by (n-1)!.
The difference between placement in a row and that in a circle is following: if we shift all object by one position, we will get different arrangement in a row but the same relative arrangement in a circle. So, for the number of circular arrangements of n objects we have: n!/n=(n-1)!
Now, 7 men in a circle can be arranged in (7-1)! ways and if we place 7 women in empty slots between them then no two women will be together. The # of arrangement of these 7 women will be 7! and not 6! because if we shift them by one position we'll get different arrangement because of the neighboring men.
So the answer is indeed 6!*7!. ANS:D
Question: P is four times as fast as Q and working together, they can complete a work in 8 days. In how many days can Q alone complete the work?
A.35 days
B.15 days
C.10 days
D.25 days
Answer: C.10 days
Explanation: P = 4Q
P + Q = 4Q + Q = 5Q
These 5Q people can do the work in 8 days, which means Q can do the work in 40 days.
Hence, P can do the work in 10 days.
ANSWER:C
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
A.49
B.48
C.47
D.50
Answer: A.49
Explanation: Total age of students is 32 Ã— 16 = 512 Years
Total age inclusive of teacher = 33 Ã— (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33 Ã— 1) = 49 Years
ANSWER IS A
Question: At a dinner party, 4 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
A.1) 6
B.2) 10
C.3) 24
D.4) 32
Answer: A.1) 6
Explanation: for number of distinct arrangements of 'n' items around a circular table, we get the arrangements by way of (n-1)!
in this case, there are 4 guests, so number of distinct arrangements = 3! = 6
hence A
Answer : A
Question: A woman has three blouses of different colors, four skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
A.8
B.12
C.22
D.17
Answer: C.22
Explanation: total ways = 3*4*2=24..
now its better to find the ways in which the pink blouse and green skirt are together and subtract from total to get the answer..
the ways in which the pink blouse and green skirt are together=1*1*2=2..
total ways =24-2=22..
ANSWER:C
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
A.Rs. 80
B.Rs. 85
C.Rs. 90
D.Rs. 95
Answer: C.Rs. 90
Explanation: SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15 = Rs. 90.
ANSWER:C
Question: In how many different ways can the letters of the word "CLAIM" be rearrangement?
A.100
B.120
C.130
D.143
Answer: B.120
Explanation: The total number of arrangements is
5P5 = 5! = 120
B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5 sec
B.2.8 sec
C.8.5 sec
D.2.0 sec
Answer: A.2.5 sec
Explanation: Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40
= 2.5 sec.
Answer:A
Question: What command is used to create a backup configuration?
A.copy running backup
B.copy running-config startup-config
C.config mem
D.wr mem
Answer: B.copy running-config startup-config
Explanation: Explanation:
The command to back up the configuration on a router is
Answer: Option B
Question: Find the area, diameter = 13m.
A.132.00 square meter
B.132.04 square meter
C.132.78 square meter
D.132.24 square meter
Answer: C.132.78 square meter
Explanation: Diameter = 13 meter.
Radius = diameter/2.
= 13/2.
= 6.5 meter.
Area of a circle = Ï€r2.
Here, pi (Ï€) = 3.14 meter, radius (r) = 6.5
Area of a circle = 3.14 Ã— 6.5 Ã— 6.5.
= 3.14 Ã— 42.25.
= 132.78 square meter ANSWER : C
Question: |x+3| – |4-x| = |8+x| How many U solutions will this equation have?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: |x| = x when x >= 0 (x is either positive or 0)
|x| = -x when x < 0 (note here that you can put the equal to sign here as well x <= 0 because if x = 0,
|0| = 0 = -0 (all are the same)
So the '=' sign can be put with x > 0 or with x < 0. We usually put it with 'x > 0' for consistency.A
Question: A truck covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is?
A.2:3
B.ratio 1:5
C.ratio 1:10
D.ratio 9:13
Answer: C.ratio 1:10
Explanation: Ratio of speeds = (200/60) 18/5 : 60*100/50 = 12:120 = 1:10
Answer is C
Question: As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 95,00 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
A.600
B.750
C.500
D.400
Answer: B.750
Explanation: 24600/12=2050
2050*5=10250
10250-9500=750
Answer B
Question: A reduction of 50% in the price of apples would enable a man to obtain 80 more for Rs.55, what is reduced price per dozen?
A.1
B.3
C.4
D.7
Answer: C.4
Explanation: C
55*(50/100) = 28 --- 64
? --- 12 => Rs.4
Question: What percent of 30 is 80?
A.133 1⁄3
B.75
C.266.66
D.33 1⁄3
Answer: C.266.66
Explanation: To find out the % of 80 in 30
Do 80/30 = 266.66%
Answer C)
Question: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4....
A.7
B.6
C.3
D.4
Answer: B.6
Explanation: First if we count 1223334444. they are 10
In the next term they are 20
Next they are 30 and so on
So Using n(n+1)2×10≤2888
For n = 23 we get LHS as 2760. Remaining terms 128.
Now in the 24th term, we have 24 1's, and next 48 terms are 2's. So next 72 terms are 3's.
The 2888 term will be “3”.
Answer:B
Question: The amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5. If they worked a combined total of 128 hours, how many hours did the secretary who worked the longest spend on the project?
A.90
B.70
C.56
D.16
Answer: A.90
Explanation: 8x = 128
=> x = 16
Therefore the secretary who worked the longest spent 16 x 5 = 90 hours on the project
Option (A)
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 45 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
A.9%
B.12%
C.15%
D.17%
Answer: A.9%
Explanation: Let me try a simpler one.
Lets assume that candidate got 45% votes and total votes is 100.
Candidate won = 45
Remaining = 55
To get 50%, candidate requires 5 votes from 100 which is 5% and 5 votes from 55.
5/55= 1/11 = .09 = 9%
Which is approx 9%. Hence the answer is A.
Question: |14 - 5| - |8 - 12| = ?
A.3
B.2
C.1
D.5
Answer: D.5
Explanation: |14 - 5| - |8 - 12| = | 9 | - | -4 | = 9 - 4 = 5
correct answer D
Question: If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 3.
II. x is an integer multiple of 6
III. x is an integer multiple of 2
A.a) I only
B.b) II only
C.c) I and II only
D.d) I and III only
Answer: C.c) I and II only
Explanation: The answer should be D i.e. X will be an integer and multiple of 3 and 6.
Let us take example n, n+1, n+2 as 3 three consecutive positive integers.
In a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12
Hence in a product of 3 consecutive integers, the product is always divisible by 3.
Now, in a consecutive sequence every alternate is an even number, and when an even number is multiplied by 3 we will have 6 as one of the multiple also.
Now for a number to be a multiple of 4 we need at least 2 2's. this is only possible if the first number of three consecutive positive integers is an even number so that 3 is also even and we have 2 2's. But incase the sequence starts with odd we will have one 2 hence, the divisibility by 4 depends on the first number to be even
AnswerC
Question: Consider a sequence of numbers given by the expression 7 + (v - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
A.409
B.1636
C.16360
D.16000
Answer: C.16360
Explanation: terms in this sequence are 7,12,17----402
now since this is an a.p. with a common difference of 5. therefore its sum can be given as
v(a+l)/2----------------1)
v= total no. of terms =80
a= first term=7
l= last term=402
subsituting values in the expression 1 we have
80(7+402)/2
= 40(409)
=16360=C
Question: 1!+2!+3!+4!+5!+..100! is divided by 24. Find the remainder?
A.5
B.8
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: The positive integers x and y leave remainders of 2 and 3, respectively, when divided by 6. x > y. What is the remainder when x– y is divided by 6?
A.4
B.2
C.1
D.5
Answer: D.5
Explanation: Let's test out some values of p and q that satisfy the given information.
x leaves are remainder of 2 when divided by 6
So, x COULD equal 8
y leaves are remainder of 3 when divided by 6
So, y COULD equal 3
What is the remainder when x – y is divided by 6?
So, x - y = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5
Answer: D
Question: If equation |x/2| + |y/2| = 1 encloses a certain region on the coordinate plane, what is the area of this region?
A.8
B.50
C.100
D.200
Answer: A.8
Explanation: The equation can be reduced to intercept form as |x/2| + |y/2| = 1, so these are lines in four quadrants with x and y intercept as 2, so it is a rhombus with diagonals of 4 each and hence area = 1/2*d1*d2 = 1/2*4*4= 8. Answer A.
Question: The average of 5 numbers is 6.8. If one of the numbers is multiplied by a factor of 4, the average of the numbers increases to 9.2. What number is multiplied by 4?
A. 1.5
B. 3.0
C. 3.9
D. 4.0
Answer: D. 4.0
Explanation: The average of 5 numbers is 6.8
The sum of 5 numbers will be 6.8 x 5 = 34
The average of 5 number after one of the number is multiplied by 4 is 9.2
The sum of the numbers will now be 9.2 x 5 = 46
So the sum has increased by 46-34 = 12
Let the number multiplied by 4 be n
Then,
4n = n+12
or 3n = 12
or n = 4
Answer:- D
Question: If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker’s discount on the same sum for the same time and at the same rate?
A.100
B.115
C.120
D.129
Answer: D.129
Explanation: Sol.
B.G. = S.I. on T.D. = Rs. [120 * 15 * 1/2 * 1/100] = Rs. 9.
∴ (B.D.) - (T.D.) = Rs.9.
∴ B.D. = Rs. (120 + 9) = Rs. 129
Answer D
Question: In the first 12 overs of a cricket game, the run rate was only 4.5. What should be the run rate in the remaining 38 overs to reach the target of 360 runs?
A.9.55
B.6.25
C.6.75
D.8.05
Answer: D.8.05
Explanation: Required run rate = 360 - (4.5 x 12)	/38	=	306/38 = 8.05 Option D
Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
A.288
B.276
C.1750
D.2887
Answer: C.1750
Explanation: C.I. = [4000 * (1 + 10/100)2 - 4000]
= (4000 * 11/10 * 11/10 - 4000) = Rs. 840.
Sum = (420 * 100)/(3 * 8) = Rs. 1750.Answer: C
Question: Alyssa and her six cousins went to a party. There are sixteen pieces of
pizza for them to eat.
Is there any
pizza left over?
A.5
B.4
C.3
D.2
Answer: D.2
Explanation: 16/7 = 2 R 2 Each girl will get 2 pieces of pizza and there will be 2
pieces left over.
correct answer D
Question: A change-making machine contains one-rupee, two-rupee and five-rupee coins. The total number of coins is 300. The amount is Rs. 960. If the numbers of one-rupee coins and two-rupee coins are interchanged, the value comes down by Rs. 40. The total number of five-rupee coins is
A.100
B.140
C.60
D.150
Answer: B.140
Explanation: Explanation :
Let the number of 5 rupee , 2 rupee and 1 rupee coins be x, y and z respectively.
x + y + z = 300.
5x + 2y + z = 960 .......(i)
5x - y + 2z = 920 ......(ii)
On subtracting (ii) from (i) we get,
y - z = 40.
And, x + 2y = 340.
Using the options,
if x= 140, y= 100 and z= 60, this satisfies all the given conditions.
Answer : B
Question: The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
A.3:1
B.2:3
C.4:3
D.5:4
Answer: A.3:1
Explanation: Let the present ages of A and B be 5x and 3x years respectively.
Then, (5x - 4)/(3x + 4) = 1/1
2x = 8 => x = 4
Required ratio = (5x + 4):(3x - 4) = 24:8 = 3:1
ANSWER A
Question: Find 80 / ? = ? / 20
A.40
B.400
C.800
D.1600
Answer: A.40
Explanation: Answer
Let 80/y = y/20
Then, y 2 = 80 x 20 = 1600
∴ y = √1600 = 40.
Option: A
Question: Alex deposited x dollars into a new account that earned 5 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
A.w/(1+1.08)
B.w/(1.08+1.16)
C.w/(1.16+1.24)
D.w/(1.05+1.05^2)
Answer: D.w/(1.05+1.05^2)
Explanation: Account at the end of the first year would be 1.05x dollars. At this time x dollars was deposited, hence the account at the beginning of the second year would be (1.05x+x) dollars. Account at the end of the second year would be (1.05x+x)*1.05=w --> x(1.05^2+1.05)=w --> x=w/(1.05+1.05^2).
Answer: D.
Question: Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
A.Rs.20,000
B.Rs.20,028
C.Rs.20,298
D.Rs.20,029
Answer: A.Rs.20,000
Explanation: Let the second amount be Rs. x. Then,
(12000 * 10 * 1)/100 + (x * 20 * 1)/100 = [(12000 + x) * 14 * 1] / 100
120000 + 20x = 16800 + 14x
x = 8000
Total investment = 12000 + 8000
=Rs.20,000.
Answer:A
Question: If log 2, log (2x -1) and log (2x + 3) are in A.P, then x is equal to ____
A.5/2
B.log(2)5
C.log(3)2
D.3/2
Answer: B.log(2)5
Explanation: Explanatory Answer
Because log 2, log (2x -1) and log (2x + 3) are in an AP
2 log (2x - 1) = log 2 + log (2x + 3)
Using the power rule of log, we can write 2 log (2x - 1) = log (2x - 1)2
Therefore, we can write the equation as log (2x - 1)2 = log 2 + log (2x + 3)
Using product rule, we can write the right hand side of the equation as follows:
log 2 + log (2x + 3) = log 2 (2x + 3)
The modified equation after applying the power rule and the product rule of logarthims is log (2x - 1)2 = log 2 (2x + 3)
Removing logarithm on both sides of the equation, we get
(2x - 1)2 = 2 (2x + 3)
Or 22x - 2*2x + 1 = 2 * 2x + 6
Or 22x - 4 * 2x - 5 = 0
Let y = 2x
So, the equation can be written as y2 - 4y - 5 = 0
Factorzing, we get (y - 5)(y + 1) = 0.
So, y = 5 or y = -1
So, 2x = 5 or 2x = -1
2x cannot be negative. S, 2x = 5
If 2x = 5, expressed in terms of a log, it becomes x = log(2)5
Answer B
Question: How many hours are there in 660 minutes?
A.60 hours
B.6 hours
C.30 hours
D.11 hours
Answer: D.11 hours
Explanation: Solution:
Number of minutes in 1 hour = 60 minutes
So
Just divide 660 by 60
660 Ã· 60 = 11, so there are 11 hours in 660 minutes
Option D
Question: Amar takes as much time in running 12 meters as a car takes in covering 45 meters. What will be the distance covered by Amar during the time the car covers 1.4 km?
A.700 m
B.500 m
C.373 m
D.356 m
Answer: C.373 m
Explanation: Distance covered by Amar
= 12/45 (1.4km)
= 4/15(1400) = 373 m
Answer: C
Question: How many prime numbers Z exist such that 90 < Z < 106 and n is a factor of 99999919?
A.1. Zero
B.2. One
C.3. Two
D.4. Three
Answer: C.3. Two
Explanation: I found that considering the constraint..Z is a prime num in between 90 to 106 not inclusive , only 3 numbers (91,97 and 101) are present but those numbers are not the factors of the number mentioned....Therefore, i doubt the answer.C
Question: The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
A.18
B.12
C.27
D.21
Answer: A.18
Explanation: 9 * 2 = 18 years
ANSWER A
Question: In a small dairy farm, 40 cows eat 20 bags of grass in 40 days. In how many days one cow will eat one bag of grass?
A.40
B.80
C.60
D.50
Answer: B.80
Explanation: Assume that in a days, one cow will eat one bag of grass.
More cows, less days (Indirect proportion)
More bags, more days (direct proportion)
Hence we can write as (cows)40:1
::x:40
(bags)1:20
⇒40×1×40=1×20×x
⇒x=80
ANSWER:B
Question: Each year, a cyber café charges its customers a base rate of $25, with an additional $0.30 per visit for the first 50 visits, and $0.10 for every visit after that. How much does the cyber café charge a customer for a year in which 72 visits are made?
A.36.6
B.42.2
C.47.8
D.51.1
Answer: B.42.2
Explanation: Explanation:
The café charges $25 + $0.30(first 50) + $0.10(additional after 50). For 72 visits there are 50 visits with an additional 22 visits.
$25 + $0.30(50) + $0.10(22)
=$25 +$15 + $2.20
=$42.20
Answer is (B).
Question: In a group of 6 boys and 3 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?
A.105
B.111
C.117
D.123
Answer: B.111
Explanation: The total number of ways to choose 4 children is 9C4 = 126
The number of ways to choose only boys is 6C4 = 15
The number of groups which include at least one girl is 111.
The answer is B.
Question: Find the average increase rate, if increase in the population in the first year is 30% and that in the second year is 40%.
A.41
B.56
C.40
D.38
Answer: A.41
Explanation: Solution: Let 100 be the original population.
1st year's population increased = 30%
So, Population after first year = (100 +30% of 100) = 130. Population in second year increases by 40%, then Population
= (130 +40% of 130) = 182.
The final population become 182 which was originally at 100. It means there is 82% increment in the population in 2 years
So, Average increment = 82/2 = 41%.
Mind Calculation Method:
Increase in population is given by,
100==30%↑==>130==40%↑==> 182.
Hence, average increase = 82/2 = 41%
Answer: Option A
Question: Torry has submitted 2/5 of his homework assignments, and he received an average grade of 75 for those assignments. If he wishes to receive an average grade of 96 for all his homework assignments, the average grade for Torry's remaining homework assignments must be what percent greater than the average grade for the assignments he has already submitted?
A.15%
B.20%
C.25%
D.46 2/3%
Answer: D.46 2/3%
Explanation: 0.4*75 + 0.6x = 96
30 + 0.6x=96
0.6x = 66
x= 110
110/75= 1.4666...
Ans:D
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
A.30
B.34
C.38
D.40
Answer: D.40
Explanation: 2:3
2x + 10 : 3x + 10 = 5 : 7
7[2x + 10] = 5[3x + 10]
14x + 70 = 15x + 50
15x - 14x = 70 - 50
x = 20
Then the first number is = 2
2x = 40
D
Question: We invested a total of $1,000. We invested one part of the money at 4% and the rest of the money at 6%. The total investment with interest at the end of the year was $1,046. How much money did we invest at 4%?
A.$600
B.$650
C.$700
D.$750
Answer: C.$700
Explanation: Let x be the money invested at 4%.
1.04x+1.06(1000-x)=1046.
0.02x=1060-1046.
0.02x=14.
2x=1400.
x=700.
The answer is C.
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 3 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
A.229
B.288
C.600
D.720
Answer: D.720
Explanation: D = 30 * 6 = 180
RS = 40 – 30 = 10
T = 180/10 = 18
D = 40 * 18 = 720 km
Answer: D
Question: What is the ratio whose term differ by 40 and the measure of which is 2/7?
A.32:23
B.16:56
C.71:85
D.32:39
Answer: B.16:56
Explanation: Let the ratio be x:(x+40)
Then, x/(x+40) = 2/7
x=16
required ratio = 16:56
Answer is B
Question: Baby Isabel plays with blocks. Each block is 3.9 inches tall. She has a collection of 32 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
A.67"
B.124.8"
C.106"
D.120"
Answer: B.124.8"
Explanation: 3.9"*32=124.8". Answer is B.
Question: When y divided by 288, the remainder is 47. Find the remainder when the same y is divided by 24?
A.20
B.21
C.23
D.25
Answer: C.23
Explanation: 23
Option C