subject
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|---|---|---|---|---|
mathematics
|
A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 70 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?
|
[
"j/59",
"7j/500",
"140j",
"j/100+40",
"140j/100"
] |
lets take j=1000, as decided by you..
now 70% increase makes it 1700..
this is the price for 100 jackets, so selling price for each jacket=1700/100=$17..
so ans is correct as A..
The answer is: A
|
A
|
mathematics
|
What is the maximum number of pieces of birthday cake of size 10” by 10” that can be cut from a cake 20” by 20”?
|
[
"4",
"10",
"16",
"20",
"25"
] |
The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum).
A
The answer is: A
|
A
|
mathematics
|
x is the product of each integer from 1 to 100, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?
|
[
"5",
"6",
"8",
"10",
"12"
] |
The number of trailing zeros in the decimal representation of n!, the factorial of a non-negative integer n, can be determined with this formula:
n5+n52+n53+...+n5k, where k must be chosen such that 5k≤n
x = 1*2*3....*100 = 100!
No. of trailing zeros in 100! = 100/5 + 100/5^2 = 20+4 = 24
100^k = 10^2k → k = 24/2 = 12
E
The answer is: E
|
E
|
mathematics
|
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 41° is?
|
[
"49m2",
"50m2",
"51.5m2",
"53m2",
"59m2"
] |
41/360 * 22/7 * 12 * 12
= 51.5 m2
Answer:C
The answer is: C
|
C
|
mathematics
|
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
|
[
"2",
"20",
"50",
"100",
"1024"
] |
1)there are 10 speeches in ONE topic and 10 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 10C1∗10C1=10∗10=100
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The G.C.D. of 1.08, 0.36 and 0.15 is?
|
[
"0.03",
"0.9",
"0.03",
"0.108",
"none of these"
] |
Given numbers are 1.08,0.36 and 0.15.
H.C.F of 108, 36 and 15 is 3
H.C.F of given numbers=0.03.
Correct Options:C
The answer is: C
|
C
|
mathematics
|
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.55 less, he could have gained 25%. What is the cost price?
|
[
"197",
"375",
"275",
"278",
"268"
] |
CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
55 ----- ? => 275
Answer:C
The answer is: C
|
C
|
mathematics
|
1/2 is what percent of 1/3
|
[
"150%",
"200%",
"250%",
"300%",
"None of these"
] |
Explanation:
1/2/1/3 * 100 = 1/2 * 3/1 * 100 = 150 %
Option A
The answer is: A
|
A
|
mathematics
|
?% of 360 = 180
|
[
"277",
"36",
"50",
"72",
"None of these"
] |
?% of 360 = 180
or, ? = 180×100/360=50
Answer C
The answer is: C
|
C
|
mathematics
|
If Q is a positive integer, and Q/15 = 8.2, what is the remainder when Q is divided by 15?
|
[
"A.1",
"B.2",
"C.3",
"D.4",
"E.8"
] |
If Q were a multiple of 15, the quotient Q/15 would be an integer. The fact that it's a decimal tells us that 15 goes into Q eight whole times and some decimal part of a time. This decimal part, 0.2 is the remainder divided by the divisor. Let R be the remainder.
R/15 = 0.2 = 1/5
R = (15)*(1/5) = 3
Answer =(C)
The answer is: C
|
C
|
mathematics
|
If TIER is written as 7163 and BRAIN is written as 23415, how is RENT coded ?
|
[
"7536",
"7653",
"3657",
"3765",
"None of these"
] |
Explanation:
Given :
Letter : T I E R B A N
Code : 7 1 6 3 2 4 5
Thus, the code for RENT is 3657.
ANSWER C
The answer is: C
|
C
|
mathematics
|
For any positive number x, the function [x] denotes the greatest integer less than or equal to x. For example, [1] = 1, [1.367] = 1 and [1.996] = 1. If k is a positive integer such that k^2 is divisible by 45 and 80, what is the units digit of k^3/4000 ?
|
[
"0",
"1",
"0",
"54",
"Cannot be determined"
] |
K=[lCM of 80 and 45] * (any integer)
however minimum value of k is sq.rt of 3^2*4^2*5^2 = 60 * any integer
for value of k(60) * any integer unit value will be always zero .
C
The answer is: C
|
C
|
mathematics
|
Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 74% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 58% problems right. How many more questions he would have to answer more to get
passed
|
[
"3",
"6",
"7",
"8",
"9"
] |
Explanation:
Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)
= 7 + 12 + 21 = 40.
Questions to be answered correctly for 58% = 58% of total quations
= 58 % of 74 = 43.
He would have to answer 43 - 40 = 3
Answer: Option A
The answer is: A
|
A
|
mathematics
|
The ratio, by volume, of soap to alcohol to water in a certain solution is 4:40:90. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 200 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
|
[
"1300",
"1500",
"1600",
"1700",
"1800"
] |
soap:alcohol
Initial ratio soap:alcohol: water --> 4:40:90
Initial soap:alcohol = 4/40 =4:40
after doubled soap:alcohol =2* 4/40 = 8:40
Initial soap:water = 4/90=4:90
after halved soap:water: 1/2 * 4/90 = 2/90 = 2:90
After soap: alcohol:water --> 8:40:360-->1:5:45
given alcohol 200 cubic centimeter.
ratio is 40:200:1800(1:5:45)
For 200 cubic centimeter of Alcohol --- 1800cubic cm water is required.
Answer-E
The answer is: E
|
E
|
mathematics
|
A train 150 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?
|
[
"5 seconds",
"6 seconds",
"9 seconds",
"8 seconds",
"7 seconds"
] |
Relative speed of train and man=60kmph or 300/18m/s
Time taken by the train to pass the man:
Length of the train/relative speed
150/300/18=9 seconds.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
|
[
"50 m^3",
"60 m^3",
"70 m^3",
"80 m^3",
"100 m^3"
] |
Explanation:
lb = 20 ; lh = 15 ; fh = 12
(lbh)2 = 20 * 15 * 12 => lbh = 60 m^3
B)
The answer is: B
|
B
|
mathematics
|
300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
|
[
"10",
"12",
"14",
"16",
"17"
] |
26 trees have 25 gaps between them,
Required distance (300/25) = 12
B
The answer is: B
|
B
|
mathematics
|
Simplify (212 * 212 + 312 * 312 )
|
[
"132288",
"142088",
"142188",
"142288",
"None of these"
] |
Explanation:
Trick: Above equation can be solved by using following formula
(a2+b2)=1/2((a+b)2+(a−b)2)
Option D
The answer is: D
|
D
|
mathematics
|
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 5 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
|
[
"25",
"30",
"29",
"12",
"20"
] |
Explanation:
Let the cost of each ice-cream cup be Rs.x
16(6) + 5(45) + 7(70) + 6(x) = 961
96 + 225 + 490 + 5x = 961
5x = 150 => x = 30.
Answer:B
The answer is: B
|
B
|
mathematics
|
There are 5,290 feet in 1 mile and 12 inches in one foot. How many inches are in a mile?
|
[
"5,280 - 12",
"5,280/12",
"12(5,280)",
"12^2(5,280)",
"12*5,290"
] |
1 feet = 12 inches
1 mile = 5290 feet
1 mile = 5290*12 inches
Ans: E
The answer is: E
|
E
|
mathematics
|
In a soccer bet,we play 4 teams.first team odd 1.30,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
|
[
"219.5",
"226.49",
"235.01",
"266.74",
"669.0"
] |
in the case we won the bet,we have:
1.30* 5.23* 3.25* 2.0*5.00=219.50
we will win 226.49
so correct answer is B
The answer is: B
|
B
|
mathematics
|
A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
|
[
"35",
"77",
"28",
"50",
"22"
] |
Explanation:
SP per metre = 18000/400 = Rs. 45 Loss per metre = Rs. 5 CP per metre
= 45 + 5
= Rs. 50
Answer: D
The answer is: D
|
D
|
mathematics
|
A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
|
[
"11 days",
"13 days",
"21 days",
"16 days",
"18 days"
] |
WC = 2:1
2x + x = 1/7
x = 1/21 => 21 days
Answer: C
The answer is: C
|
C
|
mathematics
|
In a game of 80 points; A can give B 5points and C 15 points. Then how many points Bcan give C in a game of 60 ?
|
[
"8",
"9",
"10",
"11",
"12"
] |
A: B = 80 : 75, A : C = 80 : 65.
B/C = ( B/ A * A/C) = (75 / 80 * 80 / 65) = 15/13 = 60 /52 = 60: 5
Therfore ,In a game of 60, B can give C 8 points
Option A
The answer is: A
|
A
|
mathematics
|
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
|
[
"28 4/7 years",
"31 5/7 years",
"32 1/7 years",
"None of these",
"31"
] |
Required average
=((67 x 2 + 35 x 2 + 6 x 3)/(2 + 2 + 3))
=(134 + 70 + 18)/7
=222/7
= 31 5/7 years.
Answer : B
The answer is: B
|
B
|
mathematics
|
Of 25 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
|
[
"14",
"10",
"9",
"7",
"5"
] |
set A : people with more than 4 years exp
set B : people with degree
AUB = total - (less than 4 exp and no degree)
AUB = 25-3=22
AUB = A + B - AiB
AiB = 18+14-22
=10
Answer B
The answer is: B
|
B
|
mathematics
|
What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
|
[
"6893",
"6993",
"6093",
"693",
"None"
] |
7770
7077
-------------
693
ANSWER:D
The answer is: D
|
D
|
mathematics
|
What is the twenty-fourth decimal to the right in the fraction 47/48?
|
[
"1",
"2",
"4",
"6",
"8"
] |
47/48 = 0.979166666666666....
The answer is D.
The answer is: D
|
D
|
mathematics
|
A trader bought a car at 20% discount on its original price. He sold it at a 55% increase on the price he bought it. What percent of profit did he make on the original price?
|
[
"17%",
"24%",
"12%",
"82%",
"16%"
] |
Original price = 100
CP = 80
S = 80*(155/100) = 124
100 - 124 = 24%
Answer:B
The answer is: B
|
B
|
mathematics
|
A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 9 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
|
[
"46",
"50",
"54",
"58",
"62"
] |
The ratio is 4:5 = 8:10, so there are 8k males and 10k females.
If 9 males left, the ratio would be 1:2 = 5:10, so there would be 5k males and 10k females.
8k-5k = 9
k = 3
8k + 10k = 24 + 30 = 54
The answer is C.
The answer is: C
|
C
|
mathematics
|
The present population of a town is 1000. Population increase rate is 25% p.a. Find the population of town after 2 years?
|
[
"1000",
"2000",
"1563",
"2153",
"1245"
] |
P = 1000
R = 25%
Required population of town = P(1 + R/100)^T
= 1000(1 + 25/100)^2
= 1000(5/4)^2
= 1563(approximately)
Answer is C
The answer is: C
|
C
|
mathematics
|
Kevin plants corn and cotton. Once he harvests the crops, he has 30 pounds of corn and x
pounds of cotton. Corn sells for $5 per pound and cotton sells for $10 per pound. If Kevin sells
all his corn and cotton for a total of $640, then compute x.
|
[
"39",
"49",
"59",
"69",
"79"
] |
Kevin sells his corn for 305 dollars and his cotton for x10 dollars. Thus 30-5+x*10 =
640, so x = 640-30*5/10 = 490/10 = 49 .
correct answer B
The answer is: B
|
B
|
mathematics
|
1(1!)+2(2!)+3(3!)....2012(2012!) = ?
|
[
"1",
"5",
"6",
"7",
"8"
] |
1(1!)=1 ⇒⇒ 2!-1
1(1!)+2(2!)=1+4=5 ⇒⇒ 3!-1
1(1!)+2(2!)+3(3!)=1+4+18=23 ⇒⇒ 4!-1
Answer:A
The answer is: A
|
A
|
mathematics
|
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
|
[
"2400",
"2880",
"2787",
"3087",
"0728"
] |
1200 * 12: x * 9 = 2:3
x = 2400
Answer: A
The answer is: A
|
A
|
mathematics
|
17 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
|
[
"154",
"184",
"240",
"272",
"306"
] |
2*17C2 = 2*136 = 272
The answer is D.
The answer is: D
|
D
|
mathematics
|
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
|
[
"16 2/3%",
"16 7/3%",
"19 2/3%",
"16 2/3%",
"16 4/3%"
] |
600 ---- 100
100 ---- ? => 16 2/3%
Answer: D
The answer is: D
|
D
|
mathematics
|
If 5^k + 5^k = (5^9)^(5^9) - 5^k, then k = ?
|
[
"5^11 - 1",
"11/2",
"242",
"3^10",
"3^11 - 1"
] |
5^k + 5^k = (5^9)^5^9 - 5^k
5*(5^k) = 5 ^ (25 * 5^9 ) = 5^(5^2 * 5^9) = 5^(5^11)
5^k+1 = 5^(5^11)
So k+1 = 5^11
So k = 5^11 -1
Answer is A
The answer is: A
|
A
|
mathematics
|
Without stoppages, a train travels certain distance with an average speed of 200 km/h, and with stoppages, it covers the same distance with an average speed of 160 km/h. How many minutes per hour the train stops ?
|
[
"8",
"9",
"10",
"11",
"12"
] |
Due to stoppages, it covers 40 km less .
Time taken to cover 40 km = 40â„200h = 1â„5h
= 1â„5 × 60 min = 12 min
Answer E
The answer is: E
|
E
|
mathematics
|
A certain bacteria colony doubles in size every day for 22 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
|
[
"6.33",
"7.5",
"21",
"15",
"19"
] |
If there is one bacteria colony, then it will reach the limit of its habitat in 20 days.
If there are two bacteria colonies, then in order to reach the limit of habitat they would need to double one time less than in case with one colony. Thus colonies need to double 21 times.
Answer: C.
Similar questions to practice:
Hope it helps.
The answer is: C
|
C
|
mathematics
|
A 50 ml after-shave lotion at 30% alcohol is mixed with 30 ml of pure water. What is the percentage of alcohol in the new solution?
|
[
"16.75%",
"17.75%",
"18.75%",
"19.75%",
"None of these"
] |
The amount of the final mixture is given by
50 ml + 30 ml = 80 ml
The amount of alcohol is equal to the amount of alcohol in pure water ( which is 0) plus the amount of alcohol in the 30% solution. Let x be the percentage of alcohol in the final solution. Hence
0 + 30% 50 ml = x (80)
Solve for x
x = 0.1817 = 18.75%
Answer C
The answer is: C
|
C
|
mathematics
|
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 1?
|
[
"-1",
"0",
"1",
"2",
"3"
] |
Answer
x = 1 + √2
∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 1
= x2(x - 2)2 + 1
= (1 + √2)2(1 + √2 - 2)2 + 1
=(√2 + 1)2 (√2 - 1)2 + 1
=[(√2)2 - (1)2]2 + 1
=(2 - 1)2 =1 + 1=2
Correct Option: D
The answer is: D
|
D
|
mathematics
|
How many positive integers less than 160 are there such that they are multiples of 13 or multiples of 12 but not both?
|
[
"18",
"19",
"20",
"23",
"25"
] |
for 13: 13...160=13*12
for 12: 12...156=12*13
but there is one integer 13*12. so
N=(12-1)+(13-1)=23
D
The answer is: D
|
D
|
mathematics
|
A password of a computer consists of nine digits 1 through 7. What is the probability that the first digit is a 2 and the second digit is divisible by 3 ?
|
[
"1/9",
"1/21",
"1/24.5",
"1/49",
"1/98"
] |
There is one possibility out of seven that the first digit is correct, and two possibilities that the second digit is correct (3 and 6). We don't care about the remaining digits, so the overall probability is 1/7 * 2/7 or 1/24.5 (answer C)
The answer is: C
|
C
|
mathematics
|
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
|
[
"20",
"80",
"100",
"200",
"220"
] |
Let the number of students in rooms A and B be x and y respectively.
Then, x - 10 = y + 10 x - y = 20 .... (i)
and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)
Solving (i) and (ii) we get: x = 100 , y = 80.
The required answer A = 100.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 60 feet wide by 100 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
|
[
"1000",
"1400",
"1200",
"800",
"1000"
] |
volume of pool = 60*100*10 cu.ft , 80% full = 60*100*10*0.8 cu.ft water is available to drain.
draining capacity =60 cu.ft /min therefore time taken = 60*100*10*0.8/ 60 min= 800 min
D
The answer is: D
|
D
|
mathematics
|
If N = 2^0.3 and N^b = 16, b must equal
|
[
"3/80",
"3/5",
"4",
"5/3",
"40/3"
] |
30/100 = 3/10
N = 2 ^ 3/10
N^b = 2^4
(2^3/10)^b = 2^4
b = 40/3
Answer: E
The answer is: E
|
E
|
mathematics
|
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 45000rs,what is the value of buzness?
|
[
"150000",
"90000",
"85000",
"190000",
"250000"
] |
If value of business=x
Total sell (2x/3)(3/4)=45000
->x=150000
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Deby normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Deby averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
|
[
"135",
"105",
"95",
"75",
"45"
] |
Deby normally drives to work in 45 minutes at an average speed of 40 miles per hour.Use formula D = RT
Car:
T1: 45 min
R1: 40 mph
D1: [(40*45)/60] = 30 miles
Bike:
T1:?
R2: 12 - 16 mph
D2: 08*D1 = 24 miles
T1: [(24*60)/12] = 120 min (Only 12 mph speed yields an answer given in the choices)
Therefore, Deb has to leave 120 min - 45 min = 75 min early
ANSWER: D
The answer is: D
|
D
|
mathematics
|
The ratio of red boxes to blue boxes in a certain warehouse is 12 to 20. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
|
[
"80",
"74",
"111",
"148",
"244"
] |
Ratio = R/B = 12/20 or R = 12/20 B -----------(1)
2R/B+150 = 12/20*1/2 = 6/20 or we can say that 20R=3B+450 -------------(2)
solving (1) and (2) we get
B=50 and R = 30
so total boxes is B + R = 50+30=80
Hence A. 80 is the correct answer
The answer is: A
|
A
|
mathematics
|
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 290 votes. The total number of votes polled was?
|
[
"votes",
"votes",
"votes",
"votes",
"votes"
] |
Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 290
40% = 40×7 = 290
100% =100×7 =700 votes
A)
The answer is: A
|
A
|
mathematics
|
a, b, c, d, and e are positive consecutive odd integers and a < b < c < d < e.
If the sum of a+c+e is four less than the square of b, what is the product of de?
|
[
"25",
"35",
"53",
"99",
"143"
] |
a+c+e = bb - 4
Because we know the numbers are consecutive odd integers, we can rewrite the list as versions of the first number:
b = a+2
c = a+4
d = a+6
e = a+8
Therefore we can rewrite the original problem: a+(a+4)+(a+8) = (a+2)(a+2) - 4
Simplify: 3a + 4 + 8 = (aa + 4a + 4) - 4
Simplify: 3a + 12 = aa + 4a
Swap (just switch the sides in their entirety): aa + 4a = 3a + 12
Separate the number from the variables: aa + 4a - 3a = 12
Simplify: aa + a = 12
So the square of a, plus another a, equals 12. We can try out a few numbers quickly:
1x1 = 1, +1 = not 12
5x5 = 25, +5 = not 12
3x3 = 9, +3 = there we go!
So a = 3, and the sequence of consecutive odd numbers is 3, 5, 7, 9, 11.
The answer is the product of the last two numbers: 9x11 = 99 (option D).
The answer is: D
|
D
|
mathematics
|
In a 500 m race, the ratio of speeds of two runners P and Q is 3:5. P has a start of 200 m then the distance between P and Q at the finish of the race is:
|
[
"Both reach at the same time",
"P wins by 100 m",
"Q wins by 50 m",
"Q wins by 100 m",
"None of these"
] |
Explanation :
When P starts running for 300 m and Q for 500 m then, the ratio of speeds of P and Q is 3 : 5.
According to question P has already covered 200 m when Q is starting at starting point and Q needs to cove 300 m more mean while P covers this 300 m when Q can cover 500 m. So, both P and Q will reach the finishing point at the same time.
Thus, Both reach at the same time.
Answer : A
The answer is: A
|
A
|
mathematics
|
If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 100% of j ?
|
[
"0.35",
"3.5",
"35",
"350",
"700"
] |
IMO answer should be 350...
consider j=10, then k=50, l=150 and m=350....
20% of 350, comes out to be 70....
100% of 10 is 10....
(70*100)/10=700....
Ans : E
The answer is: E
|
E
|
mathematics
|
In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E, F, and/or G such that at least one letter is repeated within the password?
|
[
"720",
"864",
"900",
"936",
"1561"
] |
Total number of four letter passwords = 7*7*7*7= 2401 ------(1)
Total number of passwords in which no letter repeats = 7C4*4!= 35*24=840------(2)
therefore required value = (1)-(2)= 2401-840=1561
E
The answer is: E
|
E
|
mathematics
|
judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 4th position from either end of the row.
Can you find out how many girls are practicing together?
|
[
"4",
"9",
"7",
"6",
"8"
] |
As judith is 4th from either end of the row, it means that 3 girls are on one of her sides and 3 are present on the other.
3 + 3 + 1(judith herself) = 7.
Hence, 7 girls are practicing the dance together.
correct answer is C)7
The answer is: C
|
C
|
mathematics
|
A person can swim in still water at 12 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 10km?
|
[
"1",
"4",
"5",
"6",
"7"
] |
M = 12
S = 2
US = 12 - 2 = 10
D = 10
T = 10/10 = 1 Answer:A
The answer is: A
|
A
|
mathematics
|
Arun spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Arun won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
|
[
"330",
"500",
"520",
"540",
"620"
] |
I drew a diagram:
1 - $20
2 -
3 -
4 - $320
5 -
6 -
Total: $1,620
Between 1 and 6 are 5 days where he won $1,600. This means he averaged $320 per day (1600/5). You can put $320 by 4 because it's the middle number. Now you just find the two points betwenn $20 and $320 (320-20 = 300 / 3 = 100). So each day, he earned $100 more. This means on day 6, Arun earned$520. Answer choice C.
The answer is: C
|
C
|
mathematics
|
The population of a town increases 25% and 15% respectively in two consecutive years. After the growth the present population of the town is 1150. Then what is the population of the town 2 years ago?
|
[
"A)400",
"B)500",
"C)600",
"D)700",
"E)800"
] |
Explanation:
Formula: (After =100 denominator
Ago = 100 numerator)
1150 * 100/125 * 100/115 = 800
Answer: Option E
The answer is: E
|
E
|
mathematics
|
Mr Katial buys a house for Rs 1,00,000 and rents it. He puts 12.5% of each month’s rent aside for upkeep and repairs, pays Rs 325 per year as taxes and realizes 5.5% annually on his investment . Find the monthly rent?
|
[
"Rs 634.76",
"Rs 554.76",
"Rs 654.76",
"Rs 664.76",
"none of these"
] |
Let the monthly rent be Rs X.
We have,
5.5% of 100000 = 12 (X - 12.5% of X) - 325
5500/12 = X - (X/8) - 325/12
5500/12 + 325/12 = 7/8 x X
X = 5825/12 x 8/7
Rs 554.76 per month
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The side of a square is increased by 25% then how much % does its area increases?
|
[
"56.28 %",
"56.25 %",
"56.28 %",
"46.25 %",
"56.21 %"
] |
a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer: B
The answer is: B
|
B
|
mathematics
|
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
|
[
"40",
"400",
"5040",
"5400",
"5800"
] |
'LOGARITHMS' contains 10 different letters.
Required number of words = Number of arrangements of 10 letters, taking 4 at a time.
= 10P4
= (10 x 9 x 8 x 7)
= 5040.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :
|
[
"63 cm",
"53 cm",
"56 cm",
"66 cm",
"None of these"
] |
Volume of the bucket = volume of the sand emptied
Volume of sand = π(21)2 × 36
Let r be the radius of the conical heap.
Then, 1⁄3πr2 × 12 = π(21)2 × 36
or r2 = (21)2 × 9 or r = 21 × 3 = 63
Answer A
The answer is: A
|
A
|
mathematics
|
The cash realised on selling a 14% stock is Rs.101.25, brokerage being 1/4% is
|
[
"123",
"106",
"100",
"101",
"240"
] |
Explanation:
Cash realised= Rs. (101.25 - 0.25)
= Rs. 101.
Answer: D
The answer is: D
|
D
|
mathematics
|
A can do a piece of work in 20days, and B can do it in 15days. How long will they take if both work together?
|
[
"7days",
"8.6days",
"13days",
"5.6days",
"10days"
] |
A+B can do the work in 20*15 / 20+15 = 20*15/35 = 8.6days
Answer is B
The answer is: B
|
B
|
mathematics
|
There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
|
[
"5/9",
"5/7",
"5/3",
"5/8",
"5/1"
] |
Let the two numbers be x and y.
40/100 * x + y = 5/4y
=> 2/5 x = 1/4 y => x/y
= 5/8
Answer: D
The answer is: D
|
D
|
mathematics
|
Find the fourth proportional to 0.2,0.12 and 0.3?
|
[
"0.18",
"0.21",
"0.22",
"0.34",
"0.45"
] |
Formula = Fourth propotional = (b × c)/a
A = 0.2 , B = 0.12 and C = 0.3
(0.12 × 0.3)/0.2
0.036/0.2 = 0.18
A
The answer is: A
|
A
|
mathematics
|
If x and y are positive integers and 25x=10y what is the least possible value of xy?
|
[
"14",
"25",
"63",
"84",
"252"
] |
25x=10y
=> x/y = 2/5
=> 5x=2y
5(3)=2(3) => x*y=9 But it is not given
5(5)=2(5) => x*y=25
B
The answer is: B
|
B
|
mathematics
|
In how many different ways can the letters of the word 'DETAIL' be arranged such that the consonants must occupy only the even positions?
|
[
"None of these",
"64",
"120",
"36",
"360"
] |
D
3 consonants DTL can be arranged in 3!=6 ways. Similarly 3 vowels can be arranged on odd places in 3!=6 ways.
Total = 6*6 = 36.
Answer: D.
The answer is: D
|
D
|
mathematics
|
From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
|
[
"38",
"39",
"40",
"41",
"42"
] |
Soln:-
15x=45 --> 23/20*x=45 --> x=45*20/23=900/23=~39.
Answer: B.
The answer is: B
|
B
|
mathematics
|
If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 12 + 4x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
|
[
"–3",
"–5",
"–6",
"–7",
"–9"
] |
Since f(x) defines maximum of 2x + 4 and 12 + 4x,
to find those x when 2x+4 has greater value,
2x + 4 > 12 + 4x
or x < -4
Only value that satisfy this is -5.
Answer is (B),
The answer is: B
|
B
|
mathematics
|
A family consists of two grandparents, two parents and four grandchildren. The average age of the grandparents is 70 years, that of the parents is 40 years and that of the grandchildren is 6 years. What is the average age of family?
|
[
"8/4years",
"B)31",
"C)30",
"D)33",
"E)35"
] |
Required average
= (70 x 2 + 40 x 2 + 6 x 4 )/(2 + 2 + 4)
= (140 + 80 + 24)/8
= 244/8
= 30 8/4years.
Answer is A
The answer is: A
|
A
|
mathematics
|
How many zeroes are there at the end of the number N, if N = 150! + 300! ?
|
[
"28",
"31",
"34",
"37",
"40"
] |
The number of zeroes at the end of 150! will be less than the number of zeroes at the end of 300!
Hence it is sufficient to calculate the number of zeroes at the end of 150!
The number of zeroes = [150/5] + [150/25] + [150/125] = 30 + 6 + 1 = 37
The answer is D.
The answer is: D
|
D
|
mathematics
|
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
|
[
"7 cm",
"5 cm",
"2 cm",
"1 cm",
"9 cm"
] |
Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.
π(16)2 * h
= (4/3)π (12)3
=> h = 9 cm
Answer: E
The answer is: E
|
E
|
mathematics
|
What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum
|
[
"110",
"120",
"130",
"140",
"150"
] |
Explanation:
Let the present worth be Rs.x
Then,S.I.= Rs.(132 - x)
=› (x*5*2/100) = 132 - x
=› 10x = 13200 - 100x
=› 110x = 13200
x= 120
Option B
The answer is: B
|
B
|
mathematics
|
A certain truck uses 18 gallons of diesel fuel in traveling 230 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
|
[
"8",
"9",
"12",
"15",
"27"
] |
There are two sets 18G1 gallons and 10G2 gallons details given.
18 gallons covering 230 miles
Then 1 G1 is used to cover 15 miles.
Now for 10 G2 covering 230 miles.
then 1 G2 is used to cover 23 miles.
There must 23 - 15 = 8 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 230 miles.
IMO A is correct answer.
The answer is: A
|
A
|
mathematics
|
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 655200000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
|
[
"1300000000",
"12500",
"14000",
"12000",
"None of these"
] |
Explanation :
Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 655200000.
(75/100 * 96/100 * 70/100 * x) = 655200000.
=> x = (655200000*100*100*100)/(75*96*70) = 1300000000
Answer : A
The answer is: A
|
A
|
mathematics
|
Six mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Frankie’s requirement is satisfied?
|
[
"6",
"24",
"120",
"360",
"720"
] |
Total arrangement of 6 = 6!. In half of the cases Frankie will be behind Joey and in half of the cases Joey will be behind Frankie (as probability doesn't favor any of them). So, the needed arrangement is 6!/2=360.
Answer: D (360)
The answer is: D
|
D
|
mathematics
|
Find the odd man out
1, 2, 5, 14, 41, 123
|
[
"2",
"14",
"124",
"123",
"21"
] |
1*3-1 =2
2*3-1 = 5
5*3-1 = 14
14*3-1 = 41
41*3 -1 = 122
ANSWER:D
The answer is: D
|
D
|
mathematics
|
What is the smallest number H which when increased by 5 is completely divisible by 8, 11 and 24?
|
[
"264",
"259",
"269",
"270",
"282"
] |
This question includes a number of great Number Property shortcuts that you can take advantage of:
1) The question asks for the SMALLEST number that, when increased by 5 is divisible by 8, 11 and 24. Since the answers are numbers, we can TEST THE ANSWERS.
2) Any number that is divisible by 24 is ALSO divisible by 8, so we really just need to consider the 11 and the 24.
3) To be divisible by 24, the end number MUST be EVEN. Since we're adding 5 to get to that end number, the starting number MUST be ODD.
The last shortcut allows us to eliminate Answers A, D and E. Between Answers B and C, TESTING B first will prove that, when increased by 5, the end sum is divisible by both 11 and 24.
Final Answer:
B
The answer is: B
|
B
|
mathematics
|
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
|
[
"1546",
"1054",
"1023",
"1608",
"1065"
] |
Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.
Hence, the required number of ways = 45 - 1.
= 210 - 1 = 1024 - 1 = 1023
Answer:C
The answer is: C
|
C
|
mathematics
|
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
|
[
"54",
"32",
"75",
"28",
"11"
] |
A/8 = 8 * 8 => A = 8 * 8 * 8
x * 2x = 8 * 8 * 8
x = 16 => 2x = 32
Answer:B
The answer is: B
|
B
|
mathematics
|
At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 15th highest price and the 22nd lowest price among the prices of the items sold, how many items were sold at the garage sale?
|
[
"34",
"35",
"36",
"37",
"38"
] |
There were 14 items sold at a higher price than the radio and 21 items sold at a lower price than the radio. Including the radio, there were 14 + 21 + 1 = 36 items sold.
The answer is C.
The answer is: C
|
C
|
mathematics
|
Two trains are running in opposite directions with the same speed. If the length of each train is 360 m and they cross each other in 12 sec, then the speed of each train is?
|
[
"22",
"77",
"36",
"108",
"21"
] |
Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (360 + 360)/12 => x = 30
Speed of each train = 30 m/sec.
= 30 * 18/5 =- 108 km/hr.
Answer: D
The answer is: D
|
D
|
mathematics
|
Find the area of a parallelogram with base 12 cm and height 10 cm?
|
[
"297 cm2",
"384 cm2",
"120 cm2",
"267 cm2",
"186 cm2"
] |
Area of a parallelogram
= base * height
= 12 * 10
= 120 cm2
Answer: C
The answer is: C
|
C
|
mathematics
|
If n is a prime number, which of the following could be true
|
[
"n^n=n",
"n^2/4= is even",
"(n)(n^n) = is negative",
"n^n/4 = 1^(n-1)",
"n^2+n^3= n^5"
] |
D should be the answer.
2^2/4 = 1^(2-1)
The answer is: D
|
D
|
mathematics
|
A certain office supply store stocks 2 sizes of self-stick notepads, each in 6 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
|
[
"6",
"8",
"16",
"24",
"52"
] |
Notepads of the same color = 6 (we have 6 colors). As we have two sizes then total for the same color=6*2=12
Notepads of the different colors = 6C3=20 (we should choose 3 different colors out of 6). As we have two sizes then total for the different color=20*2=40
Total=40+12=52
Answer: E.
The answer is: E
|
E
|
mathematics
|
Liz drove from point A to point B at 40 Km/h. On her way back she drove at 50 Km/h and therefore her way back lasted one hour less. What is the distance (in Km) between A and B?
|
[
"150",
"200",
"450",
"500",
"600"
] |
Distance is same
S1t1=s2t2
40t= 50 (t-1)
t=5
distance= speed *time
40*5= 200
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 5% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price, in terms of G, at the end of the three weeks?
|
[
"0.95G",
"1G",
"1.05G",
"1.1G",
"1.15G"
] |
Initial price =G
By end of first week increased by 25% => Price =1.25G
By end of second week decreased by 20% => Price= 1.25*0.8G
By end of third week increased by 5% => Price=1.25*0.8*1.05G
=> Price= 1.05G
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
|
[
"650",
"690",
"698",
"700",
"710"
] |
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
Which of the following inequalities is always true for any real number 'x' and 'y'?
|
[
"|x-y| < |x| +|y|",
"|x + y| > |y| + |x|",
"|x + y| <= |x| + |y|",
"|x - y| <= |x| - |y|",
"|x - y| > |x| - |y|"
] |
The answer is (C). One of the fundamental properties of absolute value, which is subadditivity, essentially means that evaluating the function for the sum of two elements (numbers) always returns something less than or equal to the sum of the function's values at each element; therefore, |x + y| <= |x| + |y|
The answer is: C
|
C
|
mathematics
|
Which of the following cannot be the sum of 2 different prime numbers?
|
[
"10",
"13",
"14",
"15",
"19"
] |
Option A: 10 = 7 + 3. Sum of 2 different prime numbers.
Option B: 13 = 11 + 2. sum of 2 different prime numbers
Option C: 4 = This is not a sum of 2 different prime numbers.
Option D: 15 = 13 + 2. Sum of 2 different prime numbers
Option E: 19 = 17 + 2. Sum of 2 different prime numbers
Correct Option: C
The answer is: C
|
C
|
mathematics
|
A man's speed with the current is 22 km/hr and the speed of the current is 5 km/hr. The man's speed against the current is
|
[
"9",
"10",
"11",
"12",
"13"
] |
Man's rate in still water = (22 - 5) km/hr = 17 km/hr.
Man's rate against the current = (17 - 5) km/hr = 12 km/hr.
Answer:D
The answer is: D
|
D
|
mathematics
|
If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital. Determine that out of a total profit of Rs 4650 what is C’s share?
|
[
"Rs 2250",
"Rs 1550",
"Rs 450",
"Rs 900",
"None of these"
] |
Explanation:
It is given that business partnership is independent of time in this case as all the investors have invested their money for same amount of time.
Let A’s capital be x, B’s capital be y and C’s capital be z.
=>x+y+z = 4650
=> 4x = 6y = 10z
=>C’s share is z so let us solve the question w.r.t. z
=>x = 5z/2
=>y = 5z/3
=>(5z/2)+(5z/3)+(z) = 4650
=>31z = 4650*6
=>z = 900
ANSWER D
The answer is: D
|
D
|
mathematics
|
Which of the following is the Highest Common Factor of 25, 40 and 20?
|
[
"8",
"5",
"6",
"14",
"12"
] |
COMMON FACTOR IS 5
Ans is :B
The answer is: B
|
B
|
mathematics
|
12500 shares, of par value Rs. 20 each, are purchased from Ram by Mohan at a price of Rs. 25 each. If Mohan further sells the shares at a premium of Rs. 11 each, find his gain in the transaction.
|
[
"75000",
"76000",
"77000",
"74000",
"70000"
] |
Face value of each share = Rs.20
Market value of each share = Rs.25
Number of shares = 12500
Amount required to purchase the shares = 12500 × 25 = 312500
Mohan further sells the shares at a premium of Rs. 11 each
ie, Mohan further sells the shares at Rs.(20+11) = Rs.31 per share
total amount he gets by selling all the shares = 12500 × 31 = 387500
His gain = 387500 - 312500 = Rs.75000
Answer is A.
The answer is: A
|
A
|
mathematics
|
X starts a business with Rs.45000. Y joins in the business after 6 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
|
[
"1:2",
"2:1",
"3:1",
"2:3",
"5:3"
] |
Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
=45000×12:30000×6
=45×12:30×6
=3×12:2×6
=3:1
Answer is C
The answer is: C
|
C
|
mathematics
|
There are 5 men and 11 women. In how many ways one can select a group of 6 with at-least 3 men?
|
[
"1935",
"1936",
"1937",
"1938",
"1939"
] |
5c3*11c3+5c4*11c2+5c5*11c1=1936
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The number 94 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers?
|
[
"9",
"14",
"15",
"18",
"20"
] |
The only possible sum for 4 different squares of an integer with total sum number is 95 are :
48 + 36 + 9 + 1 = 95 which are the square from numbers :8, 6, 3, 1 (total sum number is 16)
or
80 + 9 + 4 + 1 = 95 which are the square from numbers : 9, 3, 2, 1 (total sum number is 14)
hence the answer is (B)
The answer is: B
|
B
|
mathematics
|
For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers T are there between 6* + 2 and 6* + 6, inclusive?
|
[
"None",
"One",
"Two",
"Three",
"Four"
] |
Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.
Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... The same way for all numbers between 6*+2=6!+2 and 6*+6=6!+6, inclusive. Which means that there are no primes T in this range.
Answer: A.
The answer is: A
|
A
|
mathematics
|
At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years?
|
[
"11%",
"8%",
"10%",
"9%",
"7%"
] |
C.I=P(1+R/100)^N
12100=10000(1+R/100)^2
121/100=(1+R/100)^2
(11/10)^2=(1+R/100)
R=10%
ANSWER:C
The answer is: C
|
C
|
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