RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution Q in the liquid in the tank after 3 minutes?
A.1/11
B.2/11
C.3/11
D.4/11
Answer: C.3/11
Explanation: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by B in 3 minutes = 3/20
Required ratio = 3/20 * 20/11 = 3/11
Answer:C
Question: If m is the average (arithmetic mean) of the first 10 positive multiples of 6 and if M is the median of the first 10 positive multiples of 6, what is the value of M – m ?
A. –5
B. 10
C. 5
D. 0
Answer: D. 0
Explanation: The first 10 positive multiples of 6 is an evenly spaced set. One of the most important properties of evenly spaced set (aka arithmetic progression) is:in any evenly spaced set the arithmetic mean (average) is equal to the median.
Hence M=m --> M-m=0.
Answer: D.
Question: A can do a piece of work in 6 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
A.8.7 days
B.2.0 days
C.6.6 days
D.7.5 days
Answer: D.7.5 days
Explanation: C = 1/2 - 1/6 - 1/5 =2/15
=> 7.5 days
Answer: D
Question: Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev's share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999 ?
A.50000
B.40000
C.25000
D.15200
Answer: A.50000
Explanation: Explanation:
Shekhar : Rajeev : Jatin
=(25000Ã—12+35000Ã—12+45000Ã—12) :(35000Ã—24) :(35000Ã—12)
=1260000:840000:420000=3:2:1.
Rajeev's share = Rs. (150000Ã—2/6) = Rs. 50000.
Answer IS A
Question: The marks obtained by Polly and Sandy are in the ratio 3:5 and those obtained by Sandy and Willy are in the ratio of 5:2. The marks obtained by Polly and Willy are in the ratio of...?
A.2:1
B.3:2
C.4:3
D.5:4
Answer: B.3:2
Explanation: Polly : Sandy = 3:5
Sandy : Willy = 5:2
Polly : Sandy : Willy = 3:5:2
Polly : Willy = 3:2
The answer is B.
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
A.80%
B.85%
C.96%
D.125%
Answer: C.96%
Explanation: Explanation:
I II III
120 125 100
125----------120
100-----------? => 96%
ANSWER IS C
Question: Rahul rented a power tool from a rental shop. The rent for the tool was $40 for the first hour and $20 for each additional hour. If Rahul paid a total of $160, excluding sales tax, to rent the tool, for how many hours did she rent it?
A.1
B.4
C.9
D.7
Answer: D.7
Explanation: 40 + 20n = 160
n = 6
Total time = n+1 hrs = 6+1 hrs = 7 hrs
Answer : D
Question: In how many years, Rs. 150 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
A.4 years
B.6 years
C.8 years
D.9 years
Answer: C.8 years
Explanation: Explanation :
Let Simple Interest for Rs.150 at 6% for n years = Simple Interest for Rs.800 at 4½ % for 2 years
150×6×n/100=800×9/2×2/100
150×6×n=800×9/2×2
150×6×n=800×9
3×6×n=16×9
6×n=16×3
2×n=16
n=8 years
Answer : Option C
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A.7 sec
B.6 sec
C.1 sec
D.7 sec
Answer: B.6 sec
Explanation: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55 = 6 sec.
Answer:B
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.22
B.12
C.67
D.20
Answer: D.20
Explanation: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 sec.
Answer:D
Question: When sold at a 40% discount, a sweater nets the merchant a 30% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
A.20%
B.40%
C.50%
D.53.85%
Answer: D.53.85%
Explanation: we should be careful about what are we measuring % on/what is the base..
let the Marked up price =100..
Selling price= 100-40%of 100=60..
profit= 30%..
therefore the wholesale purchase cost= x.... 1.3x=60
or x=46.15...
marked price was 100 so ...
so answer is 53.85%..
D
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 24,000 earned at the end of 2 years from the starting of the business?
A.A)7500
B.B)7389
C.C)7200
D.D)7453
Answer: C.C)7200
Explanation: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B's share = 24000 * 3/10 = Rs.7200.
Answer: C
Question: How many 7-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 1234321.
A.100
B.610
C.729
D.9000
Answer: D.9000
Explanation: Take the task of building palindromes and break it intostages.
Stage 1: Select the 7th digit
We can choose 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 1 in 9ways
Stage 2: Select the 6th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 2 in10ways
Stage 3: Select the 5th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 3 in10ways
Stage 4: Select the 5th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 4 in10ways
IMPORTANT: At this point, the remaining digits are alreadylocked in.
Stage 5: Select the hundreds digit
This digit must be the SAME as the thousands digit (which we already chose in stage 2)
So, we can complete this stage in1way.
Stage 6: Select the tens digit
This digit must be the SAME as the thousands digit (which we already chose in stage 2)
So, we can complete this stage in1way.
Stage 7: Select the units digit
This digit must be the SAME as the ten-thousands digit (which we already chose in stage 1)
So, we can complete this stage in1way.
By theFundamental Counting Principle(FCP), we can complete all 5 stages (and thus build a 7-digit palindrome) in(9)(10)(10)(10)(1)(1)(1)ways (= 9000 ways)
Answer: D
Question: P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is:
A.Rs. 2520/-
B.Rs. 2800/-
C.Rs. 3150/-
D.Rs. 4120/-
Answer: B.Rs. 2800/-
Explanation: Explanation:
Ratio of capitals in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 :12
Suppose A, B, C invest Rs 20x, Rs 15x and Rs 12x Respectively
A : B : C = (20x * 4 + 10x * 8) : (15x * 12) : (12x * 12)
= 160x : 180x : 144x = 160 : 180 : 144 = 40 : 45 : 36
A’s Share = Rs(8470 * 40/125) = Rs 2800/-
Answer: Option B
Question: A man can do a piece of work in 4 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
A.12 days
B.6 days
C.5 days
D.4 days
Answer: A.12 days
Explanation: Explanation:
In this type of question, where we have one person work and together work done. Then we can easily
get the other person work just by subtracting them. As
Son's one day work =
(1/3−1/4)=(4−3)/12=1/12
So son will do whole work in 12 days
Answer: A
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
A.3 hours
B.6 hours
C.7 hours
D.4 hours
Answer: B.6 hours
Explanation: B
6 hours
Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.
Question: A can run 224 meter in 28 seconds and B in 32 seconds. By what distance A beat B?
A.28 meter
B.24 meter
C.34 meter
D.32 meter
Answer: A.28 meter
Explanation: Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed of B = Distance/Time taken by B=224/32=28/4=7 m/s
Distance covered by B in 4 seconds = Speed × time =7×4=28 meter
A beat B by 28 meter
ANSWER:A
Question: A 10-by-8 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
A.The volume of the cylinder with height 10 is 80/pi cubic inches greater than the volume of the cylinder with height 6.
B.The volume of the cylinder with height 8 is 80/pi cubic inches greater than the volume of the cylinder with height 10.
C.The volume of the cylinder with height 10 is 80pi cubic inches greater than the volume of the cylinder with height 6.
D.The volume of the cylinder with height 8 is 80pi cubic inches greater than the volume of the cylinder with height 10.
Answer: B.The volume of the cylinder with height 8 is 80/pi cubic inches greater than the volume of the cylinder with height 10.
Explanation: Pretty straightforward. Plug in the values to compute the volume of the cylinder. Keep in mind 8 and 10 are the circumference of the base and not the radius. B is the right answer.
Question: Which of the following MUST yield an integer when divided by 3?
A.The sum of three consecutive positive integers.
B.The square of a prime number.
C.The sum of two odd integers.
D.The product of three consecutive odd numbers.
Answer: A.The sum of three consecutive positive integers.
Explanation: For option A: Let the numbers be (x-1), (x), (x+1), .
Now, (x-1) + (x) + (x+1) = 3(x). Hence A is true. No need to check other answers since there can only be one correct answer.
So, Ans(A).
Question: The greatest number by which the product of three consecutive multiplies of 3 is always divisible is
A.54
B.81
C.162
D.243
Answer: C.162
Explanation: Sol.
Required number = Product of first three multiplies of 3
= (3 × 6 × 9) = 162.
Answer C
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 10 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball?
A.2 cm
B.5/2 cm
C.5 cm
D.15/2 cm
Answer: D.15/2 cm
Explanation: similar triangle properties..
2/r+10 = 10/r-10
giving r = 15/2.
Answer: D
Question: Dames school has 2000 boys and 5000 girls. What is the percentage increase from boys to total attendance and girls to total attendance?
A.A) 40%
B.B) 10%
C.C) .4%
D.D) 50%
Answer: A.A) 40%
Explanation: Ratio of boys to total attendance (2/7)
Ratio of girls to total attendance (5/7)
percentage increase is (difference/initial quantity)*100
(2/7)/(5/7 )* 100= 40%
Correct answer is A
Question: Shreyas bought an article and sold it for 125% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.30750/-?
A.Rs.24600
B.Rs.25640
C.Rs.24250/-
D.Rs.23200
Answer: A.Rs.24600
Explanation: Explanation:
125% of CP = Rs.30750
:. CP = Rs.30750x100/125 = Rs.24600.
Answer: Option A
Question: In how many ways, a committee of 8 members can be selected from 10 men and 8 ladies, consisting of 5 men and 3 ladies?
A.15000
B.14567
C.14112
D.13445
Answer: C.14112
Explanation: (5 men out 10) and (3 ladies out of 8) are to be chosen
Required number of ways = 10C5*8C3 = 14112
Answer is C
Question: One hour after Adrienne started walking the 60 miles from X to Y, Harold started walking from X to Y as well. Adrienne walks 3 miles per hour and Harold walks 1 mile per hour faster than Adrienne. How far from X will Harold be when he catches up to Adrienne?
A.8 miles
B.12 miles
C.10 miles
D.11 miles
Answer: B.12 miles
Explanation: First, determine how far Adrienne has walked in the one hour. She has walked three miles which means she is three miles ahead of Harold when he sets off. Harold walks at four miles/hour which means that every hour, Harold will get one mile closer to Adrienne. If he gets one mile closer every hour, it will take him three hours to catch up to her which means he travels 3hours * 4 miles/hour = 12 miles and she travels 4 hours * 3 miles/hour = 12 miles. He will be 12 miles from X when he catches up to her.
A slightly different way to solve...
We don't know how long they will walk before they catch up to one another but we do know that A walks for one hour more than J. J = T and A = T+1. We are looking for the distance at which they meet up which means the distance will be the same. D=r*t so,
r*t (Harold ) = r*t (adrienne)
r*(t) = r*(t+1)
4t = 3t+3
t=3
d=r*t
d=4*3
d=12
B) 12 miles
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 1 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/364
B.2/455
C.1/91
D.4/455
Answer: A.1/364
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and one yellow marbles.
Probability that all the three marbles picked at random are blue = 3C₃/14C₃ = (1 * 3 * 2 * 1)/(14 * 13 * 12) = 1/364
ANSWER:A
Question: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ?
A. 27/4
B. 27/8
C. 3/4
D. 3/16
Answer: D. 3/16
Explanation: Say a = 2. Then:
a/b = 1/3 --> b = 6;
b/c = 2 --> c = 3;
c/d = 1/2 --> d = 6;
d/e = 3 --> e = 2;
e/f = 1/8 --> f = 16.
abc/def = (2*6*3)/(6*2*16) = 3/16.
Answer: D.
Question: Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
A.$21,000
B.$18,000
C.$12,000
D.$8000
Answer: C.$12,000
Explanation: 300+0.06(x-1000) = 0.08x
0.02x = 240
x = $12,000
The answer is C.
Question: A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 9 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
A.$144
B.$80
C.$60
D.$54
Answer: B.$80
Explanation: The correct answer is B.
Question: Exactly 20% of the reporters for a certain wire service cover local politics in Country X. If 20% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
A. 20%
B. 42%
C. 44%
D. 75%
Answer: D. 75%
Explanation: You are correct. People who cover local politics are a subset of people who cover politics.
20% of reporters who cover politics do not cover local politics so 80% DO cover local politics.
Reporters covering local politics= 80% of reporters covering politics= 20% ofall reporters
Reporters covering politics/All Reporters = 20/80 = 1/4
Reporters not covering politics/All Reporters = 3/4 = 75%=D
Question: Set W consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set W by 50, set Y is derived by multiplying each term in set W by 1.5, and set Z is derived by dividing each term in set W by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
A. X, Y, Z
B. X, Z, Y
C. Y, Z, X
D. Y, X, Z
Answer: D. Y, X, Z
Explanation: Set W - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets W and X will have the same SD.
If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set W and set Z will have 4 times less SD than set W (note SD can not be negative so SD of Z wil be SD of W divided by 4 not by -4).
So, the ranking of SD's in descending order is: Y, W=X, Z.
Answer: D.
Question: Sonika deposited Rs.4500 which amounted to Rs.8400 after 2 years at simple interest. Had the interest been 4% more. She would get how much?
A.9680
B.8790
C.8760
D.9020
Answer: C.8760
Explanation: (4500*2*4)/100 = 360
8400
--------
8760
Answer: C
Question: How many of the factors of 280 are divisible by 2?
A.4
B.8
C.10
D.12
Answer: D.12
Explanation: 280 = 2^3*5*7
The total number of factors is (1+3)(1+1)(1+1) = 16
The odd factors are 1, 5, 7, and 35.
The number of even factors is 16-4 = 12
The answer is D.
Question: The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 156.4, what is the average of the other half?
A.47.3
B.51.5
C.55.8
D.59.2
Answer: A.47.3
Explanation: The average of this half is 156.4/4 = 39.1
This is 4.1 below the overall average, thus the average of the other half of the numbers must be 4.1 above the overall age, that is 43.2+4.1 = 47.3
The answer is A.
Question: A mother bought three dress for her triplets daughters(one for each) and put the dresses in the dark. One by one the girls come and pick a dress.
What is the probability that no girl will choose her own dress?
A.1/2
B.3/4
C.2/3
D.1/3
Answer: D.1/3
Explanation: Assuming D1 is the dress for Sister1, D2 is the dress for Sister2 and D3 is the dress for Sister3.
Therefore the total number of cases are illustrated below.
Sister1 Sister2 Sister3
D1 D2 D3
D1 D3 D2
D2 D1 D3
D2 D3 D1 ..... (1)
D3 D1 D2 .... (2)
D3 D2 D1
In both steps (1) & (2), no one gets the correct Dress.
Therefore probability that no sister gets the correct dress is 2/6 = 1/3
correct answer is D)1/3
Question: A stock trader originally bought 100 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
A.a) 3m/300
B.b) m/300
C.c) m/200
D.d) m/300 + 50
Answer: A.a) 3m/300
Explanation: Let Cost of 100 shares be $ 1000
So, Cost of 1 shares be $ 10 =>m/100
Selling price per share = (100+50)/100 * m/100
Or, Selling price per share = 3/2 * m/100 => 3m/200
Hence answer will be (A)
Question: The average of first 10 natural numbers is?
A.5.2
B.5.5
C.5.3
D.5.9
Answer: B.5.5
Explanation: Sum of 10 natural no. = 110/2 = 55
Average = 55/10 = 5.5
Answer:B
Question: A reduction of 30% in the price of oil enables a house wife to obtain 9 kgs more for Rs.1800, what is the reduced price for kg?
A.Rs.55
B.Rs.60
C.Rs.65
D.Rs.70
Answer: B.Rs.60
Explanation: Explanation:
1800*(30/100) = 540 ---- 9
? ---- 1 => Rs.60
Answer: B
Question: The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 110 meters?
A.18
B.20
C.22
D.24
Answer: B.20
Explanation: The speed of the boat downstream = 15 + 3 = 18 km/hr
18 km/hr * 5/18 = 5 m/s
The time taken to cover 110 meters = 110/5 = 22 seconds.
The answer is B.
Question: The sum of three consecutive numbers is 102. The greatest among these three number is:
A.26
B.35
C.29
D.30
Answer: B.35
Explanation: Let the numbers be x, x + 1 and x + 2
Then,
x + (x + 1) + (x + 2) = 102
3x = 102
x = 33
Greatest number, (x + 2) = 35.
ANSWER:B
Question: If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions G represents the final price of the item?
A.G=(10,000z + 100z(x – y) – xyz)/10,000
B.G=(10,000z + 100z(y – x) – xyz)/10,000
C.G=(100z(x – y) – xyz)/10000
D.(100z(y – x) – xyz)/10000
Answer: A.G=(10,000z + 100z(x – y) – xyz)/10,000
Explanation: -A-
z=Original Price
x= MU
y=MD
New price with MU:
z(x/100+1)
New price with MD:
z[(x/100+1)(-y/100+1)]
Solvingâ€¦
=z[((x+100)/100)((-y+100)/100)]
=z(x100-xy+10000-100y)/10000
=(zx100-xyz+10000z-100yz)/10000 --> similar to A
Question: A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green.
A.19/20
B.17/20
C.21/40
D.8/10
Answer: C.21/40
Explanation: Let A be the event that ball selected from the first bag is red and ball selected from second bag is green.
Let B be the event that ball selected from the first bag is green and ball selected from second bag is red.
P(A) = (5/8) x (6/10) = 3/8.
P(B) = (3/8) x (4/10) = 3/20.
Hence, the required probability is P(A) + P(B) which is nothing but 21/40.
ANSWER:C
Question: If P is a prime number greater than 5, what is the remainder when P^2 is divided by 8.
A.4
B.3
C.2
D.1
Answer: D.1
Explanation: Here is the algebraic approach..
these prime numbers are of teh form 6n+1 or 6n-1..
so P= 6n+1..
P^2=(6n+1)2=36n^2+12n+1
Now 36n^2+12n=4n(9n+3)
if n is even... 4n will be div by 8....
if n is odd.. 4n will be div by 4 and 9n+3 will become even and be div by 2,hence 4n*(9n+3) will be div by 4*2=8..
so in P^2=36n^2+12n+1 only 1 is left, Remainder = 1.
ANSWER:D
Question: If the price of a certain computer increased 30 percent from x dollars to 351 dollars, then 2x =
A.540
B.570
C.619
D.649
Answer: A.540
Explanation: Before Price increase Price = x
After 30% Price increase Price = x+(30/100)*x= 1.3x = 351 (Given)
i.e. x= 351/1.3 = $270
i.e. 2x = 2*270 = 540
Answer: option A
Question: A train 440 meters long is running with a speed of 55 kmph. The time taken by it to cross a tunnel 180 meters long is?
A.40.58 sec
B.41.33 sec
C.42.33 sec
D.40 sec
Answer: A.40.58 sec
Explanation: D = 440 + 180 =620
S = 55 * 5/18 = 15.27778 mps
T = 620/15.27778 =40.58182 sec
ANSWER:A
Question: Rahul take a loan of sum Rs.550.This is to be repaid in two equal annual installments. If the rate of interest be 20% compounded annually,then find the value of each installment?
A.360
B.420
C.230
D.540
Answer: A.360
Explanation: Let the value of each installment be Rs.x
[x/(1+(20/100))]+[x/(1+(20/100))2]=550
(100x/120)+(10000x/14400)=550
(5x/6)+(25x/36)=550
x=360
Option A
Question: Mr. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck
A.$145
B.$250
C.$300
D.$175
Answer: A.$145
Explanation: Let the 1st paycheck be x(integer).Mr. Rodger got a weekly raise of $145. so after completing the 1st week she will get $ (x+145).similarly after completing the 2nd week she will get $(x+145)+$145.=$(x+145+145=$(x+290). so in this way end of every week her salary will increase by $145. correct answer will be (A)
Question: A person can row at 9 kmph and still water. He takes 5 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
A.32
B.28
C.29
D.24
Answer: D.24
Explanation: Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 5.5
=> x/10 + x/8 = 11/2 => (4x + 5x)/40 = 11/2 => x
= 24 km.
Answer:D
Question: In a kilometer race, A beats B by 60 meters or 15 seconds. What time does A take to complete the race?
A.221
B.235
C.245
D.289
Answer: B.235
Explanation: Time taken by B run 1000 meters = (1000 * 15)/60 = 250 sec.
Time taken by A = 250 - 15 = 235 sec.Answer:B
Question: How many positive integers less than 10,000 are such that the product of their digits is 210?
A.24
B.30
C.48
D.54
Answer: D.54
Explanation: 210 = 2x5x3x7 = 5x6x7x1 = 5x6x7
Those are the only sets of digits we can use to for the numbers (any other combination of factors will have two digit factors).
Numbers using 2,5,3,7 = 4!
Numbers using 5,6,7,1 = 4!
Numbers using 5,6,7 (3-digit numbers) = 3!
Answer = 24+24+6 = 54
Answer is (D)
Question: How many multiples of 2 are there between 1 and 56, exclusive?
A.21
B.22
C.27
D.26
Answer: C.27
Explanation: 27
multiples of 2 between 1 and 56 exclusive.
from 2 * 1 upto 2*27, (1,2,3,4,...,27). Hence, 27 multiples !
correct option is C
Question: A Rent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
A.5%
B.7%
C.7.5%
D.10%
Answer: D.10%
Explanation: Answer: D