subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | The volume of a box with a square base is 128 cubic cm. The area of the base of the box is 8 inches more than the height. What is the length of the base of the box? | [
"4 cm",
"8 cm",
"16 cm",
"24 cm",
"None of the above"
] | l x w x h = 64
l x w - 8 = h
l=w
Solving the 3 equations we get Area of Base = 16 square cm and height = 8 cm, which means length = 4 cm and width = 4 cm
Correct Answer: A
The answer is: A | A |
mathematics | Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three (vice presidents)/VPs are entir... | [
"0.5",
"0.6",
"0.7",
"0.49",
"0.8"
] | probability of adams approval = 0.7
baker approval =0.5
corfu approval=0.4
proabability of approval is must adam approval and atleast one approval
= adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+
adam approval*bake... | D |
mathematics | In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 60 and a standard deviation of 12, which of the following is exactly 1.95 standard deviations more than the mean? | [
"a) 48",
"b) 60",
"c) 72",
"d) 77.5",
"e) 83.4"
] | Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.
Here, we're told two things about a group of numbers:
1) The average of the gr... | E |
mathematics | A man sells a horse for Rs.200 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? | [
"227",
"299",
"277",
"860",
"460"
] | CP = SP + 1CP = SP - g
200 + x = 980 - 2x
3x = 780 => x = 260
CP = 200 + 260= 460
Answer: E
The answer is: E | E |
mathematics | Find the odd man out.
36, 60, 6, 18, 72, 25, 48 | [
"60",
"72",
"6",
"36",
"25"
] | Explanation:
Each of the numbers except 25 is a divisible by 6.
Answer: E) 25
The answer is: E | E |
mathematics | A right circular cylinder and a cone are there. Base radius of cone is equal to radius of cylinder. What is the ratio of height to slant side if their volume are the same? | [
"1:3",
"3:1",
"1:2",
"2:1",
"1:4"
] | 1/3 pi r^2 h1 = pi r^2 h2
h1/h2= 3/1
height of cone : height of cylinder = 3:1
ANSWER:B
The answer is: B | B |
mathematics | In a police selections, the weight of Arun is marked as 64 kg instead of 48 kg. Find the percentage of correction required. | [
"30%",
"25%",
"24%",
"29%",
"34%"
] | Explanation :
% correction = (64-48)/64 X 100 = 25%
Answer : B
The answer is: B | B |
mathematics | A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 42,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary? | [
"Rs. 1000",
"Rs. 4000",
"Rs. 3500",
"Rs. 3000",
"None of these"
] | Explanation:
A's capital : B 's capital
20000 : 40000 = 1 : 2
Since, the time period is fixed, the profit is distributed in the ratio of capital 1 : 2
Profit of A = (1/3) * 42,000 = Rs. 14,000
Salary of A = Rs. (15000 – 14000) = Rs. 1000
ANSWER: A
The answer is: A | A |
mathematics | The average age of 28 students in a group is 12 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years? | [
"31",
"36",
"41",
"51",
"None"
] | Sol.
Age of the teacher = ( 29 × 13 – 28 × 12 ) years = 41 years.
Answer C
The answer is: C | C |
mathematics | On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 40 percent of the sales representatives prefer to stay at Hotel XYZ and 60 percent prefer to stay at Hotel ABC. What is the highest possib... | [
"36",
"39",
"42",
"45",
"48"
] | 18 people stay in XYZ and 42 people stay in ABC.
24 people prefer XYZ and 36 people prefer ABC.
Let's put all 24 people who prefer XYZ in hotel ABC.
Then 18 people who prefer ABC will stay in XYZ.
The highest possible number who are not given their preference is 24+18=42.
The answer is C.
The answer is: C | C |
mathematics | A train 110 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train. | [
"45 kmph",
"50 kmph",
"55 kmph",
"61 kmph",
"70 kmph"
] | Explanation:
Let the speed of the train be x kmph.
Speed of the train relative to man = (x + 5) kmph = (x + 5) ×5/18 m/sec.
Therefore 110/((x+5)×5/18)=6 <=> 30 (x + 5) = 1980 <=> x = 61
Speed of the train is 61 kmph.
Answer: Option D
The answer is: D | D |
mathematics | The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 7:8 then what is the number of visitors on the 5th day of the library? | [
"17",
"17",
"64",
"19",
"01"
] | If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are a, b, c, d & e respectively, then
a + b + c + d = 58 × 4 = 232 ----(i) &
b + c + d + e = 60 × 4 = 240 ----(ii)
Subtracting (i) from (ii), e – a = 8 ---(iii)
Given
a/e=7/8 ---(iv)
So from (iii) & (iv) a=56, e=64
Answer:C
The answer is: C | C |
mathematics | Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm? | [
"272 sq.cm",
"267 sq.cm",
"286 sq.cm",
"251 sq.cm",
"600 sq.cm"
] | Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus.
BE2 + AE2 = AB2
252 = 152 + AE2 AE
= √(625 - 225)
= √400 = 20,
AC = 20 + 20 = 40 cm.
Area of a rhombus
= 1/2 * d1d2
= 1/2 * 40 * 30
= 600 sq.cm.
Answer:E
The answer is: E | E |
mathematics | The 41 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher rel... | [
"4",
"7",
"8",
"9",
"10"
] | The formula is Total = A+B+C - sum of exactly two + 2*all three + neither
21+18+19-x-2*5=41
solving for x you get 7
Answer B
The answer is: B | B |
mathematics | The cash realised on selling a 14% stock is Rs.104.25, brokerage being 1/4% is? | [
"104",
"106",
"102",
"192",
"122"
] | Cash realised= Rs. (104.25 - 0.25)
= Rs. 104.
Answer: A
The answer is: A | A |
mathematics | 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement? | [
"9/31",
"8/45",
"9/42",
"8/111",
"9/113"
] | The probability that first toy shows the even number,
=1021=1021
Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.
Hence, probability that second toy shows the even number,
=920=920
Required probability,
=(1021)×(920)=(1021)×(920)
=9/42
C
The answer is: C | C |
mathematics | A train 125m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train? | [
"65kmph",
"70kmph",
"75kmph",
"80kmph",
"85kmph"
] | Let the speed of the train be x kmph
Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec
125/[(x+5)*5/18] = 6
30(x+5) = 2250
x = 70kmph
Answer is B
The answer is: B | B |
mathematics | 3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The
percentage of alcohol in the new mixture is | [
"25%",
"20%",
"30%",
"33%",
"None of these"
] | Explanation :
----------------------------------------------------------Method-1 to solve the question--------------------------------------
--------------------We have a 11 litre solution containing 42% of alcohol in the water=> Quantity of alcohol
in the solution= 11×42100Now 3 litre of water is added to the solution... | D |
mathematics | In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is nine years older than Ellen, how old is Aaron? | [
"1.5–5",
"6–10",
"11–15",
"16–20",
"21–25"
] | Let David's present age be 'd', Aaron's present age be 'a' and Ellen's present age be 'e'
In ten years, David will be four times as old as Aaron --> d+10 = 4(a+10)
Twenty years ago, David was twice as old as Ellen --> d-20 = 2(e-20)
David is seven years older than Ellen --> d = e + 9
e+9-20 = 2e-40
e-11 = 2e-40
e = 29
... | A |
mathematics | Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 10 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute? | [
"1:5",
"9:25",
"5:1",
"25:9",
"Cannot be determined from the information provided"
] | Same circumferential rate means that a point on both the gears would take same time to come back to the same position again.
Hence in other words, time taken by the point to cover the circumference of gear A = time take by point to cover the circumference of gear B
Time A = 2*pi*25/Speed A
Time B = 2*pi*5/Speed B
Since... | C |
mathematics | Given positive even integer y, which of the following CAN be evenly divisible by y? | [
"y + 1",
"2y - 2",
"2y + 1",
"3y - 1",
"y + 1⁄2"
] | This can be easily solved by substituting values:
Assume y to be 2
A. y + 1: 3 is not evenly divisible by 2
B. 2y - 2: 2 is evenly divisible by 2
C. 2y + 1: 5 is not evenly divisible by 2
D. 3y − 1: 5 is not evenly divisible by 2
E. y + 1⁄2: 5/2 is not evenly divisible by 2
Option B
The answer is: B | B |
mathematics | If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is? | [
"22999",
"50000",
"26709",
"78766",
"17618"
] | Let the sum be Rs. x. Then,
(x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250
25x - 20x = 250000
x = 50000
Answer: B
The answer is: B | B |
mathematics | A vendor bought toffees at 6 for a dollar. How many for a dollar must he sell to gain 20%? | [
"7",
"6",
"5",
"9",
"8"
] | C
5
C.P. of 6 toffees = $ 1
S.P. of 6 toffees = 120% of $ 1 = $ 6/5
For $ 6/5, toffees sold = 6. For $ 1.
Toffees sold = 6 * 5/6 = 5
The answer is: C | C |
mathematics | A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was? | [
"15028",
"15029",
"15000",
"13029",
"15921"
] | Principal = (100 * 5400) / (12 * 3)
= Rs.15000
Answer: C
The answer is: C | C |
mathematics | What will be the fraction of 12% | [
"1/20",
"1/50",
"1/75",
"3/25",
"None of these"
] | Explanation:
12*1/100 = 3/25.
Option D
The answer is: D | D |
mathematics | Out of first 50 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -. | [
"1/2",
"16/19",
"4/5",
"61/50",
"3/5"
] | n(S) = 50
n(Even no) = 25 = n(E)
n(Prime no) = 15 = n(P)
P(EᴜP) = 25/50 + 15/50 - 1/50 = 61/50
ANSWER:D
The answer is: D | D |
mathematics | In a rectangular coordinate system, if a line passes through the points (-13,-18), (17,22) and (x,2) then what is the value of x? | [
"1",
"2",
"3",
"4",
"5"
] | The slope of the line m is rise/run = 22-(-18) / 17-(-13) = 4/3
4/3 = 22-2 / 17-x
68-4x = 66-6
x = 2
The answer is B.
The answer is: B | B |
mathematics | A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running? | [
"2 1/9",
"2 1/6",
"2 1/2",
"2 1/1",
"6 1/2"
] | Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours.Answer:E
The answer is: E | E |
mathematics | The sale price shirts listed for Rs.1000 after successive discount is 15% and 2% is? | [
"338",
"823",
"833",
"337",
"733"
] | 1000*(85/100)*(98/100)
= 833
Answer: C
The answer is: C | C |
mathematics | How many different arrangements of letters are possible if three letters are chosen from the letters A through G and the letters E and A must be among the letters selected? | [
"28",
"30",
"32",
"34",
"36"
] | Besides A and E, there are 5 letters and we can choose one of them.
5C1 = 5
Three letters can be arranged in 3! ways.
The number of arrangements is 5*3! = 30
The answer is B.
The answer is: B | B |
mathematics | A solution is 90% glycerin. If there are 4 gallons of the solution, how much water, in gallons must be addded to make a 75% glycerin solution | [
"1.8",
"1.4",
"1.2",
"1.0",
"0.8"
] | In 4 gallons of the solution there are 0.9∗4=3.80 gallons of glycerin. We want to add ww gallons of water to 4 gallons of solution so that these 3.6 gallons of glycerin to be 75% of new solution: 0.9∗4=0.75(4+w) --> w=0.8
Answer: E.
The answer is: E | E |
mathematics | In August,a cricket team that played 120 matches won 28% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average? | [
"40",
"52",
"60",
"80",
"98"
] | let the no of matches played more=x
so,
(120+x)*52/100=33.6+x
by solving we get x=60
ANSWER:C
The answer is: C | C |
mathematics | A 40-liter solution of alcohol and water is 5 percent alcohol. If 3.5 liters of alcohol and 6.5 liters of water are added to this solution, what percent of the solution produced is alcohol? | [
"8%",
"11%",
"14%",
"17%",
"20%"
] | The percent of alcohol in the solution is (0.05(40) + 3.5) / 50 = 5.5/50 = 11%
The answer is B.
The answer is: B | B |
mathematics | Varma can read a book in k minutes. What part of the book can he read in 8 minutes?(k>8) | [
"(k - 8)/k",
"k/8",
"8 + k",
"k-8",
"8/k"
] | Option E
Explanation:
Part of the book he can read in 1 minute = 1/k
Part of the book he can read in 8 minutes =8/k.
The answer is: E | E |
mathematics | In a certain group of 13 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ? | [
"198",
"154",
"202",
"201",
"200"
] | Case 1
1french 2either German or Spanish: 4C1 * 9C2 = 144
Case 2
2french 1either German or Spanish: 4C2 * 9C1 = 54
Case 3
3french 4C3 = 4
Answer is C
The answer is: C | C |
mathematics | A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work? | [
"20",
"21",
"22",
"23",
"24"
] | Explanation:
WC = 2:1
2x + x = 1/14 => x = 1/42
2x = 1/21
A can do the work in 21 days.
Answer: B
The answer is: B | B |
mathematics | A fair 2 sided coin is flipped 3 times. What is the probability that tails will be the result at least twice, but not more than 3 times? | [
"5/8",
"3/4",
"3/8",
"7/4",
"5/6"
] | at least twice, but not more than 3 timesmeans exactly 2 times, 3 times
The probability of getting exactly k results out of n flips is nCk/2^n
3C2/2^3=3/8
Option: C
The answer is: C | C |
mathematics | Triangle STV has sides ST = TV = 5, and SV = 6. What is the area? | [
"8",
"10",
"12",
"14",
"16"
] | Let the base B of the triangle be SV = 6. Then we need to find the height H.
H^2 = 5^2 - 3^2 = 16 and then H = 4.
The area is (1/2)*B*H = 3*4 = 12
The answer is C.
The answer is: C | C |
mathematics | A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running? | [
"4",
"5",
"6",
"8",
"9"
] | Required time = (9)/3 + (9)/9 = 4 hours.
Answer:A
The answer is: A | A |
mathematics | If the compound interest on a certain sum of money for 5 years at 10% per annum be Rs. 993, what would be the simple interest? | [
"Rs. 1500",
"Rs. 890",
"Rs. 895",
"Rs. 900",
"None"
] | Let P = Principal
A - Amount
We have a = P(1 + R/100)3 and CI = A - P
ATQ 993 = P(1 + R/100)3 - P
? P = 3000/-
Now SI @ 10% on 3000/- for 5 yrs = (3000 x 10 x 5)/100
= 1500/-
Answer: A.
The answer is: A | A |
mathematics | What is the tens' digit T of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...? | [
"T=2",
"T=3",
"4",
"8",
"9"
] | All of the first 40 terms have 1 at the units place.
Except the first term, the tens digit of all the remaining 39 terms is 1.
So now if you do the addition
1 1
1 1
. . .
. . .
. . .
1 1
0 1
3 0
Answer is B
The answer is: B | B |
mathematics | The average of 10 numbers was calculated as 20. It is discovered later on that while calculating the average, one number, namely 86, was incorrectly read as 26. What is the correct average? | [
"22",
"23",
"24",
"25",
"26"
] | 10*20 - 26 + 86 = 260
260 / 10 = 26
The answer is E.
The answer is: E | E |
mathematics | The ratio of 2 numbers is 2:5 and their H.C.F. is 6. Their L.C.M. is ? | [
"20",
"24",
"52",
"36",
"60"
] | Let the numbers be 2x and 5x
Their H.C.F. = 6
so the numbers are 2*6 , 5*6 = 12,30
L.C.M. = 60
Answer is E
The answer is: E | E |
mathematics | If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m? | [
"2m −1",
"4m",
"6m",
"m/5",
"8m"
] | 23m - n = p
Add n to both sides:
23m = n + p
Add m to both sides:
24m = n + p + m
Now, divide both sides by 3
8m = (n + p + m)/3 = the average of n, p, and m
E
The answer is: E | E |
mathematics | A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is: | [
"12000",
"6000",
"8000",
"10000",
"None of these"
] | Total expenditure = 40 + 25 + 15 + 10 = 90%
Saving = (100 - 90) = 10%
10/100 × Salary = 1200, Salary = 12000 Rs.
Answer:A
The answer is: A | A |
mathematics | The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is? | [
"44%",
"46%",
"50%",
"52%",
"54%"
] | Let original length = x metres and original breadth = y metres.
Original area = (xy) m2.
New length = 120 x m = 6 x m.
100 5
New breadth = 120 y m = 6 y m.
100 5
New Area = 6 x x 6 y m2 = 36 xy m2.
5 5 25
The difference between the original area = xy and new-area 36/25 xy is
= (36/25)xy - xy
= xy(36/25 - 1)
= xy(11/25)... | A |
mathematics | A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed? | [
"4 min",
"2 min",
"8 min",
"9 min",
"5 min"
] | S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
Answer: A
The answer is: A | A |
mathematics | Convert 100miles into yards? | [
"25630 yards",
"35200 yards",
"39520 yards",
"42560 yards",
"176000 yards"
] | 1 mile = 1760 yards
100 miles = 100*1760 = 176000 yards
Answer is E
The answer is: E | E |
mathematics | Three fifth of the square of a certain number is 126.15. What is the number? | [
"210.25",
"75.69",
"14.5",
"145",
"150"
] | Let the number be X
Given, 3/5 X^2 = 126.5
X^2 = 126.15 * 5/3
X^2 = 42.05 * 5 = 210.25
X = 14.5
Answer C.
The answer is: C | C |
mathematics | an article with cost price of 280 is sold at 30% profit. what is the selling price? | [
"198",
"364",
"369",
"207",
"210"
] | sp=1.30*280=364
ANSWER:B
The answer is: B | B |
mathematics | If 821562 is to be divisible by 5, what is the least whole number that should be added to it? | [
"6",
"4",
"5",
"2",
"3"
] | A number is divisible by 8 if the number formed by the last three digits is divisible by 8.
Here, 821562 =562,
the next multiple of 9 is 568.
6 must be added to 821562 to make it divisible by 8
A
The answer is: A | A |
mathematics | The Price of 357 apples is Rs.2499. What will be the price of 49 dozens of such apples? | [
"Rs.3800",
"Rs.2816",
"Rs.4116",
"Rs.3116",
"None of these"
] | Expl : More apples, more cost(Direct)
357 *588 : : 2499 : x
x = (588*2499)/357 = 4116
Answer: C
The answer is: C | C |
mathematics | A can complete a journey in 1 hours. He travels first half of the journey at the rate of 21km/hr and second half at the rate of 24km/hr. Find the total journey in km? | [
"120km",
"150km",
"200km",
"224km",
"287km"
] | Let the total distance be xkm
x/2/21 + x/2/24 = 10
x/21 + x/24 = 20
15x = 168*20
x = 224km
Answer is D
The answer is: D | D |
mathematics | If p/q = 3/5 , then 2p+q= ? | [
"12",
"11",
"13",
"15",
"16"
] | let p=3, q=5 then 2*3+5=11
so 2p+q=11.
ANSWER:B
The answer is: B | B |
mathematics | The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined? | [
"13√4",
"13√2",
"23√2",
"12√4",
"13√9"
] | 4a = 48 4a = 20
a = 12 a = 5
a2 = 144 a2 = 25
Combined area = a2 = 169 => a = 13
d = 13√2
Answer: B
The answer is: B | B |
mathematics | At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $70,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the sil... | [
"$24,000",
"$28,000",
"$32,000",
"$36,000",
"$40,000"
] | The answer should be -> E. $40,000
The answer is: E | E |
mathematics | A cricket bat is sold for $850, making a profit of $225. The profit percentage would be | [
"24%",
"25%",
"30%",
"36%",
"40%"
] | 225/(850 - 225) = 225/625 = 9/25 bit more than 33%.
Answer: D
The answer is: D | D |
mathematics | If the perimeter of a square and a rectangle is equal to one another, find out the ratio of the area of both these shapes in case the sides of the rectangle are in the
ratio of 2 :5. | [
"40 : 49",
"24 : 25",
"4 : 5",
"5 : 6",
"4 : 9"
] | Let side of square=a
length of rectangle=l
breadth of rectangle=b
l/b=2/5------->l=2b/5-----(1)
given 4a=2(l+b)-------->4a=2(2b/5+b)
a=7b/10------(2)
we have to find l*b/a^2
substituting from (1) &(2)
(b*2b/5)/49b^2/100------40/49
Answer: A
The answer is: A | A |
mathematics | Set S is the prime integers between 0 and 35. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd? | [
"15/56",
"3/8",
"15/28",
"8/11",
"3/4"
] | Total number of combinations=11C3=165................(1)
Total number of combinations including 2 and two other numbers=10C2=45......................(2)
Therefore the difference ie. (1)-(2) is the set of 3 primes without 2=(165-45)=120
So, probability=120/165=8/11
D
The answer is: D | D |
mathematics | Ram's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Ram's average score on the 5 tests to be 80? | [
"80",
"82",
"84",
"86",
"88"
] | E. 88
Ram must score at least an 80 for sure. If he scores an 8, then he will need to score 2 pots for each of the 4 other tests tomake upthe difference. They each were at 78 (at least the average is, but this is a small point and doesn't matter to the answer). So 4 tests that were each 2 points short of the 80 average... | E |
mathematics | A group of 8 employees book a full row at a movie theater. There are 2 best buddies and a couple and the 2 people in both those cases must always sit together. in how many arrangements can the students sit? | [
"A.1296",
"B.2880",
"C.1850",
"D.3546",
"E.4200"
] | If we Glue the best buddy and couple together: {AB}, {CD}.
6 units {AB}, {CD}, {E}, {F}, {G}, {H} can be arranged in 6! ways. Each couple within their unit can be arranged in 2! ways.
Therefore the final answer is 6!*2!*2!=2,880.
Answer: B.
The answer is: B | B |
mathematics | Two pipes A and B can separately fill a tank in 12 minutes and 15 minutes respectively. Both the pipes are opened together but 8 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? | [
"5min",
"9min",
"7min",
"6min",
"8min"
] | 8/12 + x/15 = 1
x = 5
ANSWER:A
The answer is: A | A |
mathematics | Rs 1000 is being charged at 50% per annum. what is the interest for 3rd year at compound interest? | [
"3277",
"2667",
"1125",
"2867",
"9996"
] | Explanation:
Total amount for two years = \inline 1000(1.5)^2=2250
Now , interest for third year = \inline \frac{2250\times 50\times 1}{100}=1125
Answer: C) 1125
The answer is: C | C |
mathematics | A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work? | [
"87 days",
"48 days",
"17 days",
"87 days",
"12 days"
] | B = 1/16 – 1/24
= 1/48
=> 48 days
Answer: B
The answer is: B | B |
mathematics | Father’s age is three years more than three times the son’s age.
After three years, father’s age will be ten years more than twice the son’s age.
What is the father’s present age. | [
"31",
"32",
"33",
"34",
"35"
] | F = 3S +3
F+3 = 10 + 2*(S+3)
3S+3 +3 = 10+2S+6
S = 10 yrs
F= 3+30=33 years
ANSWER:C
The answer is: C | C |
mathematics | A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is : | [
"16000",
"18000",
"20000",
"22000",
"None of these"
] | Explanation:
Number of bricks =Courtyard area /1 brick area
=(2500×1600 /20×10)=20000
Option C
The answer is: C | C |
mathematics | If the diameter of circle R is 50% of the diameter of circle S, the area of circle R is what percent of the area of circle S? | [
"35%",
"25%",
"20%",
"15%",
"10%"
] | Let diameter of circle R , dr = 50
and diameter of circle S , ds = 100
Radius of circle R , Rr = 25
Radius of circle S , Rs = 50
Area of circle R/ Area of circle S = (pi * Rr ^2 ) /( pi * Rs^2 )
= (25/50)^2 = (5/10)^2
=25%
Answer :B
The answer is: B | B |
mathematics | Village X has a population of 68000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal? | [
"13",
"15",
"16",
"12",
"11"
] | Let the population of two villages be equal after p years
Then,68000-1200p=42000+800p
2000p=26000
p=13
Answer is A.
The answer is: A | A |
mathematics | The 323rd term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is | [
"u",
"v",
"w",
"y",
"z"
] | a is one time, b,2 times so on...
so 323=n(n+1)/2..
0r n(n+1)= 646... now 25*26=650...24*25<646 so n= 25. and 25th alphabet is Y. ans D
The answer is: D | D |
mathematics | David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their ... | [
"19",
"28",
"30",
"37",
"35"
] | Explanation:
Suppose their paths cross after x minutes.
Then, 11 + 57x = 51 - 63x 120x = 40
x = 1/3
Number of floors covered by David in (1/3) min. = (1/3x 57 )=19.
So, their paths cross at (11 +19) i.e., 30th floor.
ANSWER IS C
The answer is: C | C |
mathematics | Two boys starting from the same place walk at a rate of
5kmph and 5.5kmph respectively.what time will they take to be
8.5km apart, if they walk in the same direction | [
"17 hrs",
"11 hrs",
"19 hrs",
"7 hrs",
"21 hrs"
] | The relative speed of the boys = 5.5kmph – 5kmph = 0.5 kmph
Distance between them is 8.5 km
Time= 8.5km / 0.5 kmph = 17 hrs
Answer is A.
The answer is: A | A |
mathematics | A man gains 20% by selling an article at a certain price. If the sells it at double the price, the percentage of profit will be? | [
"288%",
"882%",
"388%",
"140%",
"382%"
] | Let C.P. = Rs. x.
Then, S.P. = Rs. (12% of x) = Rs. 6x/5
New S.P. = 2 * 6x/5 = Rs. 12x/5
Profit = 12x/5 - x = Rs. 7x/5
Profit = 7x/5 * 1/x * 100 = 140%.
Answer:D
The answer is: D | D |
mathematics | In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes? | [
"55",
"60",
"64",
"59",
"67"
] | Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
The answer is: C | C |
mathematics | How many integers between 3000 and 4000 that have distinct digits and increase from left to right ? | [
"20",
"48",
"60",
"120",
"600"
] | Since the numbers must be distinct and increasing from left to right,
The only arrangements we could come-up with are:
345_ --> 4
346_ --> 3
347_ --> 2
348_ --> 1
356_ --> 3
357_ --> 2
358_ --> 1
367_ --> 2
368_ --> 1
378_ --> 1
Number of integers =20
So the answer is A.
The answer is: A | A |
mathematics | CP of one kg apple is Rs.9 and thereby loses 20%. At what price per kg, we should have sold them to make a profit of 5%? | [
"10",
"11.81",
"11.92",
"12.4",
"12.56"
] | SP=9Loss=20%CP=100(100−Loss%)×SP=100(100−20)×9=10080×9=54×9to make a profit of 5%,SP=100+Gain%100×CP=(100+5)100×CP=105100×54×9=105100×54×9=2120×54×9=214×14×9=18916=11.81
B
The answer is: B | B |
mathematics | A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is: | [
"120 kmph",
"150 kmph",
"50 kmph",
"80 kmph",
"75 kmph"
] | Let speed of the car be x kmph.
Then, speed of the train = 150/100x = 3/2 x kmph.
75/x - 75/(3/2)x = 125/10 x 60
75/x -50/x = 5/24
x = 25 x24/5 = 120 kmph.
answer :A
The answer is: A | A |
mathematics | The H.C.F. of two numbers is 10 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is: | [
"150",
"300",
"299",
"322",
"345"
] | the numbers are (10 x 11) and (10 x 15).
Larger number = (10 x 15) = 150.
ANSWER :A
The answer is: A | A |
mathematics | The population of a city increases by 8% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years? | [
"9%",
"9.27%",
"22.50%",
"12%",
"None of these"
] | Actual increase in population=7%
Let, earlier population=100 then the population after 3 years
=100(1+7/100)^3=122.5043
∴Required percentage=22.50%
ANSWER:C
The answer is: C | C |
mathematics | Dany bought a total of 18 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy? | [
"4",
"10",
"7",
"3",
"12"
] | Let X be the number of cards that cost $0.25 each and Y the number of cards that cost $0.15 each. The total number of cards is 18. Hence
X + Y = 18
If X is the number of cards at $0.25, then the X cards cost
0.25 X
If Y is the number of cards at $0.15, then the Y cards cost
0.15 Y
The total cost of the X cards and the ... | D |
mathematics | The curved surface of a sphere is 64 π cm2. Find its radius? | [
"8",
"3",
"4",
"9",
"7"
] | Explanation:
4 πr2 = 64 => r = 4
Answer: Option C
The answer is: C | C |
mathematics | If y exceeds x by 25%, then x is less than y by? | [
"20%",
"16 3/3%",
"16 2/3%",
"12 2/3%",
"16 1/3%"
] | X=100 y=125
125------25
100-------? => 20%
Answer:A
The answer is: A | A |
mathematics | P and Q started a business investing Rs 75000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively. | [
"5:1",
"17:3",
"5:6",
"17:7",
"3:8"
] | Explanation:
In this type of question as time frame for both investors is equal then just get the ratio of their investments.
P:Q = 75000:15000
= 75:15
= 5:1
Option A
The answer is: A | A |
mathematics | A's speed is 20/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 60% of the length of the race? | [
"44%",
"48%",
"52%",
"42%",
"74%"
] | First calculate the distance, B has covered with his speed in the time, in which A reached 40% of the race.
Then Add the remaining distance as head start for B to win the race.
Its best to apply Ratios concept here.
Since A's speed is 20/13 of B, therefore, B's speed is 13/20 of A
Distance covered by B = speed x time =... | E |
mathematics | Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 20 seconds and his sister’s time is currently 9 minutes 36 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister? | [
"3%",
"5%",
"7%",
"10%",
"12%"
] | Bob's time = 620 secs.
His sis' time = 576 secs.
Percent increase needed = (620-576/620) * 100 = 44/640 * 100 = 7%. Ans (C).
The answer is: C | C |
mathematics | How many arrangements of the letters of the word ORANGES can be made, without changing the place of the vowels in the word? | [
"22",
"29",
"24",
"28",
"30"
] | O,A,E fixed. Consonants can be arrangements in 4P4 = 4! = 24 ways
Option 'C'
The answer is: C | C |
mathematics | There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible? | [
"71 ways",
"83 ways",
"85 ways",
"91 ways",
"98 ways"
] | We first count the number of committee in which
(i). Mr. Y is a member
(ii). the ones in which he is not
case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member.
Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join).
We can choose 1 more in5+\inline {\color{Blue} 2C_{1}}=7 w... | D |
mathematics | Kant and Jaya started a business by investing a certain amount, Jaya’s share is Rs.1400, out of annual profit of Rs.3800, then what is the ratio of investments of Kant and Jaya respectively ? | [
"3:4",
"18:21",
"12:7",
"6:11",
"4:3"
] | otal profit = Rs.3800.
Jaya share = Rs.1400.
Kant share = Rs.3800 - Rs.1400 = Rs.2400.
Kant : Jaya = 2400 : 1400 => 12 : 7
Option C
The answer is: C | C |
mathematics | The cost of 20 kgs. of sugar is Rs.400. What is the cost of 12.5 kgs. of sugar? | [
"Rs.200",
"Rs.150",
"Rs.250",
"Rs.125",
"Rs.225"
] | Explanation:
The cost of .153 kgs. of sugar = 400x 12.5/20 = Rs.250
Answer: Option C
The answer is: C | C |
mathematics | In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score K that Lindsey could... | [
"52%",
"64%",
"72%",
"76%",
"80%"
] | If the midterm counts for 25% of the total grade, then the final exam must count for the remaining 75%, meaning that in this weighted average problem the final is weighted 3 times as much as the midterm. Using the weighted average mapping strategy, then, and maximizing her final exam score so that you minimize her midt... | A |
mathematics | The food in a camp lasts for 10 men for 50 days. If 10 more men join, how many days will the food last? | [
"22 days",
"25 days",
"50 days",
"16 days",
"17 days"
] | one man can consume the same food in 10*50 = 500 days.
10 more men join, the total number of men = 20
The number of days the food will last = 500/20 = 25 days.
Answer:B
The answer is: B | B |
mathematics | A man can row his boat with the stream at 26 km/h and against the stream in 12 km/h. The man's rate is? | [
"1 kmph",
"4 kmph",
"5 kmph",
"7 kmph",
"8 kmph"
] | DS = 26
US = 12
S = ?
S = (26 - 12)/2 = 7 kmph
Answer: D
The answer is: D | D |
mathematics | If G and H are positive integers, and the remainder obtained when G is divided by H is the same as the remainder obtained when H is divided by G, which of the following is a possible value of GH? | [
"62",
"55",
"46",
"35",
"4"
] | I am not too sure on this. I guess it is possible only when G and H are both same. If they are both same, GH must be a perfect square.
4 is a perfect square.
Ans:E
The answer is: E | E |
mathematics | (2^2+4^2+6^2+.....+14^2)=? | [
"88",
"560",
"99",
"550",
"540"
] | =(1x2)^2+(2x2)^2,+(2x3)^3+......(2x7)^2
=2^2 x (1^2+2^2+3^2+.......+7^2)
formula is =1/6 n(n+1)(2n+1)
=(4x1/6x7x8x15)
=(4x140)=560
Answer is B
The answer is: B | B |
mathematics | A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar. | [
"Rs. 10 per Kg",
"Rs. 8 per Kg",
"Rs. 6 per Kg",
"Rs. 5 per Kg",
"Rs. 7 per Kg"
] | It is based on inverse proportion or product constancy concept. Reduction in price 20% amount of sugar will increase 25%.
It means,
25% = 6 Kg. So,
Initially, total Sugar = 6*4 = 24Kg. Thus,
Original price of the sugar was,
240/24 = Rs. 10 per kg.
Answer: A
The answer is: A | A |
mathematics | 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is? | [
"1:2",
"2:1",
"2:3",
"6:5",
"5:6"
] | 7M + 6B ------- 5 days
20M + 48B = 35M + 30B
18B = 15M => 5M = 6B
M: B = 6:5
ANSWER D
The answer is: D | D |
mathematics | A box contains 40 balls, numbered from 1 to 40. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd? | [
"1/4",
"3/8",
"1/2",
"5/8",
"3/4"
] | I don't think order matters in this case, because 2 + 2 + 1 = 2 + 1 + 2
My answer is: 1/4
A
The answer is: A | A |
mathematics | A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discount... | [
"10%",
"11%",
"12.5%",
"13%",
"14%"
] | Let B be the discount on biographies and M be the discount on mysteries
So., B + M = 0.27 -----(1)
And
(20*5 + 12*3) - (20*5*(1-B) + 12*3*(1-M)) = 19
--> 100(1-(1-B)) + 36(1-(1-M) = 19
100B + 36M = 19 ------(2)
Solving 12., we get M = 0.125 = 12.5%
C
The answer is: C | C |
mathematics | Find: S.l. on Rs 6250 at 14% per annum for 146 days. | [
"Rs.350",
"Rs.450",
"Rs.550",
"Rs.650",
"Rs.600"
] | Explanation:
P = Rs. 6250, R = 14 % & T = (146/365) years = 2/5 years .
S.I=(6250 *14 * 2/5)/100=Rs.350
ANSWER IS A
The answer is: A | A |
mathematics | A stockiest wants to make some profit by selling sugar. He contemplates about various methods. Which of the following would maximize his profit?
i. Sell sugar at 10% profit.
ii. Use 900 g of weight instead of 1 kg.
iii. Mix 10% impurities in sugar and selling sugar at cost price.
iv. Increase the price by 5% and reduce... | [
"i or ii",
"ii",
"ii, ii and iv",
"Profits are same",
"None of these"
] | Solution: Let the CP of 1 kg of sugar be Rs. 100.
Then, CP of 900g sugar = (100*900)/1000 = Rs. 90
Hence, profit % = [(100-90)/90]*100 = 11.11%.
If he add 10% impurity then his CP for 1 kg = (100*1000)/1100 = Rs. 90.9;
And % profit = [(100-90.9)/90.9]*100 = 10.01%
If he reduces weight by 5 % Then, cost price of 950 g =... | B |
mathematics | If m and n are negative integers, which of the following statements must be true?
I. (-m)^n is positive.
II. (-m)^(-n) is positive.
III. m^(-n) is positive. | [
"None",
"II only",
"I and II",
"I and III",
"I, II and III"
] | Let's m = -2 and n = -3
I. (-m)^n = (2)^(-3) = 1/(2^3) --> Positive
II. (-m)^(-n) is positive. = 2^3 --> Positive
III. m^(-n) is positive. = -2^3 --> Negative
Answer: C
The answer is: C | C |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.