subject
stringclasses 1
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mathematics
|
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
|
[
"12",
"15",
"14",
"18",
"17"
] |
In this series, each number is repeated, then 13 is subtracted to arrive at the next number.
ANSWER C
The answer is: C
|
C
|
mathematics
|
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
|
[
"10800",
"648",
"1800",
"2700",
"180"
] |
Let the required number of bottles be x.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines 6: 10 :: 270 : x
Time (in minutes) 1 : 4
6 x 1 x x = 10 x 4 x 270
x = (10 x 4 x 270)/(6)
x = 1800.
Answer is C.
The answer is: C
|
C
|
mathematics
|
A goods train runs at the speed of 72 kmph and crosses a 260 m long platform in 26 seconds. What is the length of the goods train?
|
[
"260 m",
"270m",
"643m",
"832m",
"270m"
] |
Speed = (72 x 5/18)m/sec = 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then, x + 260/26 = 20
x + 260 = 520
x = 260.
Answer:A
The answer is: A
|
A
|
mathematics
|
Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers.
How long Donald duck can cover distance of one side at a still pool (with no current).
|
[
"48 minutes.",
"58 minutes.",
"68 minutes.",
"88 minutes.",
"78 minutes."
] |
Solution:
48 minutes.
Donald duck's speed = X km/seconds
pool current speed = Y km/seconds
2/(X+Y) = 40
2/(X-Y) = 60
Solving the simultaneous equations gives X = 1/24
Therefore, to cover 2km will take 2/X = 48 seconds
Answer A
The answer is: A
|
A
|
mathematics
|
In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?
|
[
"1 : 3",
"1 : 2",
"2 : 3",
"2 : 1",
"3 : 1"
] |
TWO things to remember:-
1) the ratio of quantity mixed to get an average is related to the ratio of each qty's distance from average.
2) More the Qty of x from that of y, More CLOSER will be average to x..
Qty of 20%/Qty of 50%= (50−40)/(40−20)=1/2=1:2
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
|
[
"9:1",
"9:2",
"9:8",
"9:5",
"9:0"
] |
Explanation:
Milk = 3/5 * 20 = 12 liters, water = 8 liters
If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.
Remaining milk = 12 - 6 = 6 liters
Remaining water = 8 - 4 = 4 liters
10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.
The ratio of milk and water in the new mixture = 16:4 = 4:1
If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 * 10 = 8 liters.
Amount of water removed = 2 liters.
Remaining milk = (16 - 8) = 8 liters.
Remaining water = (4 -2) = 2 liters.
The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
How many repeat sequence of three consecutive numbers are there in the given sequence?
6 9 6 2 4 2 9 6 2 9 2 6 9 4 9 6 2 6 9 2 4
|
[
"3",
"2",
"1",
"4",
"5"
] |
962 repeated 3times
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 281 pounds. What is Jake’s present weight, in pounds?
|
[
"125",
"135",
"140",
"165",
"190"
] |
J + K = 281 and so K = 281 - J
J - 8 = 2K
J - 8 = 2(281-J)
3J = 570
J = 190
The answer is E.
The answer is: E
|
E
|
mathematics
|
If x is an integer, and 169 < x^2 <= 361, which of the following is the sum of all possible values of x?
|
[
"135",
"124",
"None of the above",
"105",
"116"
] |
The range of x is from 14 .. to 19 and -14 to -19 so the sum is 0 hence ans C, I guess, unless I am missing something!
The answer is: C
|
C
|
mathematics
|
In how many different ways can the letters of the word ‘GEOMETRY’ be arranged so that the vowels always come together?
|
[
"4323",
"2797",
"4320",
"2997",
"0811"
] |
Explanation:
There are in all 8 letters in the given word of which 3 are vowels. As the vowels should always be together, considering the 3 vowels as one letter, there are in all 6
letters which can be arranged in 6! ways = 720
Also the 3 vowels can be arranged in 3! ways = 6
Total number of arrangements = 720*6 = 4320
ANSWER:C
The answer is: C
|
C
|
mathematics
|
By selling an article for 3200, a dealer suffers a loss equal to 1/5 of his investment. Find the cost price. At what price should he had sold it to make a gain of 10% ?
|
[
"Rs. 3600, Rs. 3960",
"Rs. 4000, Rs. 4400",
"Rs. 4800, Rs. 5280",
"Rs. 4200, Rs. 5080",
"None of these"
] |
Let his CP was X.
Loss = X/5
Selling price = CP - loss
3200 = X - (X/5)
X = 4000.
CP = Rs. 4000.
To get 10% gain,
SP = 4000 + 10% of 4000 = 4000 + 400 = Rs. 4400.
ANSWER : B
The answer is: B
|
B
|
mathematics
|
4 friends went for a cinema, and everyone decided to contribute equally to the total bill of $60. If one of the friends had a coupon for 8% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
|
[
"13",
"13.1",
"13.2",
"13.8",
"14"
] |
At the non-discounted price, each friend would pay $15, as $60 divided by 4 friends is $15 per friend. But if the bill is 8% off, then each friend would pay 8% less. 8% of $15 is $1.2, so each friend saves $1.2 and pays the remaining 13.8
CORRECT OPTION:OPTION D
The answer is: D
|
D
|
mathematics
|
What is the value of 10^8- 6^4?
|
[
"9,99,98,623",
"9,99,98,704",
"9,99,98,800",
"9,99,99,521",
"9,99,99,932"
] |
As 10^n will always have last digit as 0 AND 6^n will always as last digit 6.. hence difference of such sum should always be ending with 4 and there is only on option ..
Answer B
The answer is: B
|
B
|
mathematics
|
In how many ways 4 Indians and 5 Englishmen can be seated in a row so that they are alternate?
|
[
"1200",
"9600",
"3240",
"4250",
"2880"
] |
number of ways = 4!*5! = 2880
Answer is E
The answer is: E
|
E
|
mathematics
|
Of the four numbers, whose average is 80, the first is one-fourth of the sum of the last three. The first number is ?
|
[
"28",
"64",
"11",
"48",
"10"
] |
Explanation:
Let the first number be x,
Then, sum of the four numbers = x + 4x = 5x.
so, 5x/4 = 80 or x = (80 * 4) / 5 = 64
Answer: B
The answer is: B
|
B
|
mathematics
|
If w is a positive integer and 10^w – 74 in decimal notation has digits whose sum is 440, what is the value of w?
|
[
"40",
"44",
"45",
"46",
"50"
] |
Answer E = 50
We have (10^w)-74, where the sum of the digits is 440.
100-74 = 26, so we already have 2+6 = 8 from the 440.
Because we have a power of 10, we will have numbers like 100, 1000, 10000 and so on. This minus 74 rests 26 and a lot of 9s. E.g: 1000-74 = 9926.
So dividing the 432/9 = 48, that`s the number of 9s. and we have 2 other numbers (2 and 6) wich were 00 before the subtraction.
So we have 48 + 2 as an w = 50
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 42° is?
|
[
"26.4 m2",
"39.6 m2",
"52.8 m2",
"79.2 m2",
"None of these"
] |
Explanation:
42/360 * 22/7 * 12 * 12 = 52.8 m2
ANSWER IS C
The answer is: C
|
C
|
mathematics
|
The ratio of number of boys and girls in a school is 2:5. If there are 420 students in the school, find the number of girls in the school?
|
[
"150",
"250",
"300",
"370",
"280"
] |
Let the number of boys and girls be 2x and 5x
Total students = 420
Number of girls in the school = 5*420/7 = 300
Answer is C
The answer is: C
|
C
|
mathematics
|
What will come in place of the x in the following Number series? 2, 4, 8, x , 22
|
[
"33",
"16",
"12",
"14",
"43"
] |
(D)
The pattern is + 2, + 4, + 6, +8 ………..
So the missing term is = 8 + 6= 14
The answer is: D
|
D
|
mathematics
|
20% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
|
[
"25",
"30",
"50",
"55",
"60"
] |
20% of employees are women with fair hair.
40% of fair-haired employees are women.
So,
20% * Employees = 40% * Fair Haired Employees (because both are equal to the number of fair haired women employees)
(1/2) * Employees = Fair Haired Employees
Answer (C)
The answer is: C
|
C
|
mathematics
|
What is the present worth of Rs. 143 due in 2 years at 5% simple interest per annum?
|
[
"288",
"266",
"120",
"277",
"130"
] |
Let the present worth be Rs. x. Then,
S.I. = (143 - x)
(x * 5 * 2) / 100 = (143 - x)
10x = 14300 - 100x
110x = 14300 => x = 130.
Answer: E
The answer is: E
|
E
|
mathematics
|
A number is said to be prime saturated if the product of all the different positive prime factors of w is less than the square root of w. What is the greatest two digit prime saturated integer ?
|
[
"99",
"98",
"97",
"96",
"95"
] |
w 96 = 3 * 32 = 3 * 2^5
Answer is D.
The answer is: D
|
D
|
mathematics
|
Set B consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set B?
|
[
"6",
"4",
"1",
"7",
"76"
] |
Whenever a question asks you to deal with the MEDIAN of a group of numbers, you MUST put the numbers in order from least to greatest (or at the very least,group offthe numbers so that you can restrict the potential value of the median).
Here, we have 8 values (one of the values is the variable N). We're told that the values are UNIQUE, so N CANNOT be any of the other 7 values listed. We're asked which of the following answers COULD be the median, so if we determine that one of the answer choices is a POSSIBLE median, then we can stop working....
Since the group includes 8 values, the median will be the AVERAGE of the 4th and 5th values...
Putting the 7 numbers in order, we have:
-27, -3, -2, 2, 3, 15, 17
This means that the2will either be the 4th term or the 5th term (depending on the value of N).
IF....
N is REALLY BIG, then the 4th and 5th terms will be 2 and 3, so the median will = 2.5
N is REALLY SMALL, then the 4th and 5th terms will be -2 and 2, so the median will = 0
Neither of those answers is among the choices though, so N must be something relativelycloseto 2.....
IF....
N = 0, then the 4th and 5th terms will be 0 and 2, so the median will = 1. That answer IS among the choices, so we're done.
C
The answer is: C
|
C
|
mathematics
|
If l=4p where p is a prime number greater than 2, how many different positive even divisors does l have, including l?
|
[
"two",
"three",
"four",
"six",
"eight"
] |
l=2, 2, p (p is in the prime factorization since were told it is a prime number in the question)
2
4 (because of 2*2)
2p (because of 2 * p)
4p (because of 2 * 2 * p)=C
The answer is: C
|
C
|
mathematics
|
Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is :
|
[
"30",
"98",
"27",
"21",
"22"
] |
Explanation:
Let the numbers be 4x, 5x and 6x, Then, (4x + 5x + 6x ) / 3 = 25
=> 5x = 25
=> x = 5.
Largest number 6x = 30.'
Answer: A) 30
The answer is: A
|
A
|
mathematics
|
What is the square root of 168,921?
|
[
"476",
"389",
"497",
"411",
"524"
] |
1) Checking the last digits in the answer options A, C, E are out since last digit of the square is known to be 1.
2) B = 389^2 and D = 411^2
B = (400-11)^2 and D = (400 + 11)^2
Since we need the answer less than 160000 => B is out.
Thus we have D as the ans.
The answer is: D
|
D
|
mathematics
|
Sandy is younger than Molly by 10 years. If their ages are in the respective ratio of 7:9, how old is Molly?
|
[
"27",
"36",
"45",
"54",
"63"
] |
S = M - 10
S / M = 7/9
9S = 7M
9(M-10) = 7M
M = 45
The answer is C.
The answer is: C
|
C
|
mathematics
|
In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true?
I) k=0
II) k=−1
III) k=−3
|
[
"I only",
"III only",
"I and II only",
"II and III only",
"I and III only"
] |
Please format the question properly.
Per the question, x^2+kx+1=0 with k=constant.
For a quadratic equation (ax2+bx+c=0) to have 2 distinct roots ---> D=b2−4ac>0 ---> k^2−4>0 --->k<−2or k>2 . Only III falls in these ranges.
B is the correct answer.
The answer is: B
|
B
|
mathematics
|
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of m + 2n?
|
[
"11",
"18",
"20",
"25",
"40"
] |
k^4=5400∗mn
k^4=3^3.2^3.5^2.mn
In order to make RHS a perfect power of 4, we require it to be multiplied by 3, 2 & 5^2
mn=3.2.5^2
mn = 150 = 10 * 15 (Least possible)
Answer = 10 + 15*2 = 40
ANSWER:E
The answer is: E
|
E
|
mathematics
|
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
|
[
"132",
"240",
"188",
"111",
"123"
] |
Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m
Answer: B
The answer is: B
|
B
|
mathematics
|
How much interest will $10,000 earn in 9 months at an annual rate of 3%?
|
[
"$250",
"$350",
"$450",
"$550",
"$225"
] |
Soln:-
9 months = 3/4 of year;
3% = 3/100=3/100;
$10,000(principal)*3/100(interest rate)*3/4(time)=$225.
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
|
[
"2356 sq m",
"1775 sq m",
"4312 sq m",
"1756 sq m",
"1765 sq m"
] |
Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l2 - ∏s2
= ∏{1762/∏2 - 1322/∏2}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
Answer:C
The answer is: C
|
C
|
mathematics
|
A driver just filled the car's gas tank with 27 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
|
[
"1.2",
"1.5",
"1.8",
"2.1",
"2.4"
] |
Let x be the number of liters of ethanol added to the gas tank.
0.05(27) + x = 0.1(27+x)
0.9x = 2.7 - 1.35 = 1.35
x = 1.5 liters
The answer is B.
The answer is: B
|
B
|
mathematics
|
Average age of students of an adult school is 48 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
|
[
"1200",
"160",
"360",
"240",
"None of these"
] |
Explanation :
Let the original no. of students be x.
According to situation, 48x + 120*32 = (x + 120)36 ⇒ x = 40
So, Required no. of students after joining the new students
= x + 120 = 160.
Answer : B
The answer is: B
|
B
|
mathematics
|
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
|
[
"49 m2",
"50 m2",
"53.5 m2",
"55 m2",
"58"
] |
Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m2
= 49 m2.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
A man sells two articles for Rs.2850 each and he gains 32% on the first and loses 18% on the next. Find his total gain or loss?
|
[
"9%loss",
"2%loss",
"7%loss",
"6%loss",
"1%loss"
] |
Explanation:
(32*18)/100
= 6%loss
Answer:D
The answer is: D
|
D
|
mathematics
|
If the cost price of 81 chocolates is equal to the selling price of 45 chocolates, the gain percent is :
|
[
"80%",
"85%",
"82%",
"70%",
"75%"
] |
Explanation :
Solution: Let C.P. of each chocolate be Re. 1. then, C.P. of 45 chocolates = Rs. 45;
S.P. of 45 chocolates =Rs. 81.
.'. Gain% = 36*100/45 = 80%
Answer : A
The answer is: A
|
A
|
mathematics
|
An internet recently hired 8 new network,in addvertisement 20 network already employed.All new network cam from university A.In addition 75%of computer addvertisement came from same university A.what fraction of original 20 network addvertisement came from same univerity A? pls help to solve
|
[
"13/20",
"15/20",
"14/20",
"12/20",
"11/20"
] |
New networks= 8
Already employed networks= 20
Total networks= 28
computer advt. from uni.A= 28*(75/100) =21
out 28 networks 21 came from uni.A
among these 21 we know 8 are newly hired
so 21-8=13 networks among previously employed networks came from uni.A
Answer is : 13/20
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A company sells two products, L and M. Last year, seventy percent of the units sold were product L, and the price of product L was 25 percent greater than the price of product M. Approximately what percent of the total revenue the company received last year was from the sale of product L?
|
[
"15%",
"25%",
"35%",
"65%",
"74%"
] |
Percentage of total units that is product L = 70 %
Price of product L = 25 percent greater than price of product M.
Now , we can consider this as a weighted average scenario .
If the price of both the products L and M was equal , then contribution of product L to total sales would be = 70%
But since , price of product L is greater than M , then contribution of product L to total sales will be greater than 70%
The only option is 74%
Answer E
The answer is: E
|
E
|
mathematics
|
The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 950 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?
|
[
"3.64",
"1.75",
"3.52",
"2.72",
"None of these"
] |
Here's how I did it. My notes from reading the problem were:
1L A = 950 gm
1L B = 850 gm
We are mixing five parts (3 parts A plus 2 parts B, 5 parts total) to get 4L, so 5x = 4 ---> x = 4/5. Each part is 4/5 of a liter.
So if we have 3 parts A, we have 950*3*(4/5) = 2280
If we have 2 parts B, we have 850*2*(4/5) = 1360
2280 + 1360 = 3640
Solving for units gives us 3.64
So the answer is A
The answer is: A
|
A
|
mathematics
|
If 4/(a - 5) = 5/(a + 5), then a = ?
|
[
"40",
"45",
"35",
"55",
"50"
] |
Multiply all terms of the given equation by (a - 5)(a + 5), simplify and solve
(a - 5)(a + 5)[ 4/(a - 5) ] = (a - 5)(a + 5) [5/(a + 5) ]
4 (a + 5) = 5 (a - 5)
a =45
correct answer B
The answer is: B
|
B
|
mathematics
|
Anand and Deepak started a business investing Rs. 27,500 and Rs. 85,000 respectively. Out of a total profit of Rs. 45,800, Deepak's share is?
|
[
"Rs. 9400",
"Rs. 34604.4",
"Rs. 8400",
"Rs. 3400",
"Rs. 8440"
] |
Ratio of their shares = 27500: 85000 = 11 : 34
Deepak's share = 45800* 34/45 = Rs. 34604.4
Answer:B
The answer is: B
|
B
|
mathematics
|
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
|
[
"480",
"487",
"481",
"729",
"600"
] |
1/x - 1/20 = -1/24
x = 120
120 * 5 = 480
Answer:E
The answer is: E
|
E
|
mathematics
|
Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22,20,27,23 (....)
|
[
"27",
"20",
"22",
"24",
"26"
] |
There are two series (8, 11, 14, 17, 20,23,26) and (7, 12, 17, 22,27) increasing by 3 and 5 respectively.
answer : E
The answer is: E
|
E
|
mathematics
|
If x^3 > y^2 = z, which of the statements could be true?
I. x < y < z
II. x < z < y
III. y < x < z
|
[
"I only",
"III only",
"I and II only",
"II and III only",
"I, II and III"
] |
Given : x^3 > y^2 = z
I. x < y < z is not true for x=3, y=2, z=4
II. x < z < y is not true for x=3, y=2, z=4
III. y < x < z is true for x=3, y=2, z=4 i.e. Answers can only be Options E
Answer: option B
The answer is: B
|
B
|
mathematics
|
What is the rate percent when the simple interest on Rs.4000 amount to Rs.640 in 2 Years?
|
[
"8.2%",
"8%",
"8.5%",
"9%",
"9.5%"
] |
Interest for 1 year = 640/2 = 320
Interest on Rs 4000 p/a = 320
interest rate = 320/4000*100 = 8%
Answer : B
The answer is: B
|
B
|
mathematics
|
Pipe A can fill a tank in 5 hours, pipe B in 5 hours and pipe C in 10 hours. If all the pipes are open, in how many hours will the tank be filled?
|
[
"5",
"4",
"3",
"1",
"2"
] |
Part filled by A + B + C in 1 hour = 1/5 + 1/5+ 1/10= 1/2
All the three pipes together will fill the tank in 2 hours.
Answer: E
The answer is: E
|
E
|
mathematics
|
In how many ways the letters of the word RAIMBON be arranged?
|
[
"4540",
"4740",
"5040",
"6432",
"7794"
] |
Total ways of arranging the letters = 7! = 5040 ways.
C)
The answer is: C
|
C
|
mathematics
|
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
|
[
"4:8",
"4:2",
"4:3",
"4:4",
"4:1"
] |
12:9
= 4:3
Answer:C
The answer is: C
|
C
|
mathematics
|
A student needs 60% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 40 marks, find the maximum marks set for the test.
|
[
"180",
"200",
"220",
"240",
"260"
] |
60% = 120 marks
1% = 2 marks
100% = 200 marks
The answer is B.
The answer is: B
|
B
|
mathematics
|
There are 8 digit mobile numbers. From that how many 8 digit mobile numbers can be formed if any digit can be repeated and 0 can also start the mobile number?
|
[
"9^2",
"7^3",
"10^8",
"11^9",
"12^3"
] |
Here the digits(0,1,2,3,4,5,6,7,8,9) can be repeated and 0 can also be used to start the mobile number. Hence, any of the 10 digits can be placed at each place of the 8 digit number.
10 10 10 10 10 10 10 10
Hence, required number of 8 digit mobile numbers
=10^8
C
The answer is: C
|
C
|
mathematics
|
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 450-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
|
[
"1,108",
"3,700",
"2,108",
"2,124",
"2,256"
] |
We have $200 and we have to maximize the number of hot dogs that we can buy with this amount.
Let's try to find out what is the maximum number of hot dogs that we can buy for a lesser amount of money, which in this case is 450 for $22.95.
For the sake of calculation, let's take $23. 23x8 gives 184 ,i.e. a total of 450x8 = 3600 hot dogs . We are left with ~$16. Similarly, let's use $3 for calculation. We can buy 5 20-pack hot dogs (3x5), a total of 20x5 = 100 hot dogs. So we have 3700 hot dogs.
2108 looks far-fetched (since we are not likely to be left with > $1.55). Hence, (b) 3700 (ANSWER B)
The answer is: B
|
B
|
mathematics
|
Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed Z?
|
[
"6",
"8",
"10",
"12",
"16"
] |
Let the current speed be x miles per hour.
Time taken if speed is 50% faster (i.e. 3x/2 = 1.5x) = 96/1.5x
Time taken if speed is reduced by 4 miles/hr (i.e. (x-4)) = 96/(x-4)
As per question, 96/(x-4) - 96/1.5x = 16
Solving this Z we get x = 8.
B.
The answer is: B
|
B
|
mathematics
|
If a trader sold two cars each at Rs. 325475 and gains 13% on the first and loses 13% on the second, then his profit or loss percent on the whole is?
|
[
"1.69%",
"1.74%",
"1.84%",
"1.47%",
"1.24%"
] |
SP of each car is Rs. 325475, he gains 13% on first car and losses 13% on second car.
In this case, there will be loss and percentage of loss is given by
= [(profit%)(loss%)]/100
= (13)(13)/100 % = 1.69%
Answer:A
The answer is: A
|
A
|
mathematics
|
Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 6 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
|
[
"2",
"5",
"15",
"20",
"25"
] |
Audery and Ferris collective Work rate:
1/4 + 1/3 = 7/12
Collective work Time = 12/7 = 1.7 Hrs
Job Was actually done in = 2 (Includes breaks)
Breaks = Actual time taken - Collective work time
= 2 - 1.7
= .3 Hrs = 1/2
so ferrais took 6 breaks
=.3/6=.06 hrs = 5 m
so Answer is B) 10 mins
The answer is: B
|
B
|
mathematics
|
A box contains 2 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
|
[
"1/2",
"4/3",
"7/12",
"2/3",
"7/10"
] |
Total selection ways: 4C2=4!/2!2!=6
Selecting one blue chip out of two: 2C1=2!/1!1!=2
Selecting one red chip out of four: 2C1=2!/1!1!=4
Thus, (2C1*2C1)/4C2=(2*4)/6=8/6=4/3=B
The answer is: B
|
B
|
mathematics
|
Marie earns $16 per hour for overtime hours. She worked 8 hours overtime last week
and 6 hours overtime this week. Which expression could be used to find Marie’s overtime pay for
the two-week period?
|
[
"$16 8 6",
"$16(8 6)",
"8(6) $16",
"6($16 8)",
"8(6) 8($16)"
] |
You’re right if you chose (2) $16(8 6). In this expression, $16 (the overtime hourly wage) is
multiplied by the sum of 8 and 6 (the total overtime hours worked).
There is another way to work the problem. You could find the overtime pay for each week and
add: $16(8) $16(6). Both choice (2) and this expression yield the same result. Both are correct.
$16(8 6) $16(14) $224 $16(8) $16(6) $128 $96 $224
correct answer B
The answer is: B
|
B
|
mathematics
|
P and Q started a business investing Rs. 45,000 and Rs. 10,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
|
[
"9:2",
"4:5",
"9:3",
"17:9",
"17:4"
] |
P:Q = 45000 : 10000
= 9:2
Answer:A
The answer is: A
|
A
|
mathematics
|
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
|
[
"10",
"5",
"8",
"6",
"11"
] |
C's age be x years.
Then, B's age = 2x years.
A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25 => x = 5
Hence, B's age = 2x = 10 years.
ANSWER A
The answer is: A
|
A
|
mathematics
|
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
|
[
"Rs.1000",
"Rs.1050",
"Rs.1170",
"Rs.1900",
"Rs.1230"
] |
sax Ratio of wages of 20 men, 30 women
and 45 chfldren perweek
: (3 x 2o):(2 x 30) (1 x 43) 5
Total wages or 20 men per week
= R5 300
Therefore, wages of a man per week : Rs 15,
sirmlarly, wages of woman per week
: Rs 10 and wages ofchwld perweek Rs 5
Total wages of (15 men, 21 women and 30
chfldrenj perweek
= 15x15 + 21x10 + 30x5 = 585
Total wages for 2 weeks = Rs.1170
C
The answer is: C
|
C
|
mathematics
|
A reduction of 40% in the price of bananas would enable a man to obtain 65 more for Rs.40, what is reduced price per dozen?
|
[
"1.95",
"2.95",
"4.95",
"3.95",
"5.95"
] |
40*(40/100) = 16 --- 65
? --- 12 => Rs.2.95
Answer: B
The answer is: B
|
B
|
mathematics
|
A cube of side 1.5 meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
|
[
"2878",
"3375",
"1000",
"2997",
"2701"
] |
Along one edge, the number of small cubes that can be cut
= 150/10 = 15
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut
= 15 * 15 * 15= 3375
Answer: B
The answer is: B
|
B
|
mathematics
|
January 1, 2008 is Monday. What day of the week lies on Jan 1, 2009?
|
[
"Saturday",
"Wednesday",
"Thursday",
"Tuesday",
"Monday"
] |
Explanation:
Number of odd days in 2008 = 2 (since it is a leap year)
(we have taken the complete year 2008 because we need to find out the odd days from 01-Jan-2008 to 31-Dec-2008, that is the whole year 2008)
Given that January 1, 2008 is Monday.
Hence January 1, 2009 = (Monday+ 2 odd days) = Wednesday
Answer: Option B
The answer is: B
|
B
|
mathematics
|
There are 840 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
|
[
"140",
"100",
"125",
"175",
"225"
] |
female = x
Male = 840-x
x/2 + 840-x/4 = 1/3* (840)= 280
x= 280
x/2 = 140 is supposed to be the answer
M is missing something
Correct Option A
The answer is: A
|
A
|
mathematics
|
A person is traveling at 25km/hr and reached his destiny in 9hr find the distance?
|
[
"A)100km",
"B)95km",
"C)135km",
"D)80km",
"E)225km"
] |
speed = 25km/hr
time = 9hr
distance = 25*9 = 225km
Answer is E
The answer is: E
|
E
|
mathematics
|
From the given choices select the odd man out
|
[
"37, 14, 19, 8",
"37, 14, 19, 0",
"37, 14, 19, 2",
"37, 14, 19, 7",
"37, 14, 19, 1"
] |
Explanation:
All the numbers in those options are prime numbers except 14 in option 4.
Answer:D
The answer is: D
|
D
|
mathematics
|
The area of a triangle is with base 4m and height 8m?
|
[
"11",
"10",
"787",
"16",
"12"
] |
1/2 * 4 * 8 = 16 m2
Answer: D
The answer is: D
|
D
|
mathematics
|
What is the product of all positive factors of 24?
|
[
"351776",
"331476",
"331776",
"332976",
"331776"
] |
Positive factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
So product of all positive factors: 24*12*8*6*4*3*2 = 331776
Answer: E
The answer is: E
|
E
|
mathematics
|
A man counted his animals, 80 heads and 230 legs (ducks and goats). how many goats are there?
|
[
"30",
"40",
"50",
"60",
"70"
] |
let no of ducks=d and no of goat=g
d+g=80(heads)----------> eq 1
each duck has 2 legs and goat has 4 legs
2d+4g=230 and divide 2d+4g=230 by 2 we get d+2g=115 -----------> eq2
subtract eq1 from eq2
we get no of goats=30
ANSWER:A
The answer is: A
|
A
|
mathematics
|
The average price of three items of furniture is Rs. 10000. If their prices are in the ratio 3:5:7, the price of the cheapest item is?
|
[
"2379",
"2600",
"9288",
"9000",
"28311"
] |
Let their prices be 3x, 5x and 7x.
Then, 3x + 5x + 7x = (10000 * 3) or x = 866.6.
Cost of cheapest item = 3x = Rs. 2600.
Answer: B
The answer is: B
|
B
|
mathematics
|
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How
many days will 5 women and 10 children take to complete the work?
|
[
"6 days",
"7 days",
"8 days",
"9 days",
"None of these"
] |
Explanation:
1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
(570+10140)=17
So 5 women and 10 children will finish the work in 7 days
Answer: B
The answer is: B
|
B
|
mathematics
|
Sum of the two number is 14 and difference of their square is 28. Find the numbers.
|
[
"8 and 6",
"9 and 5",
"4 and 10",
"3 and 10",
"2 and 10"
] |
Explanation:
Let the number be x & y.
x + y = 14
x2 - y2 = 28
(x + y)(x - y) = x2 - y2
14(x - y) = 28
x - y = 2 ----------(1)
x + y = 14
x - y = 2
------------------
2x = 16
x = 8
Therefore y = 6
x = 8 and y = 6
Answer: Option A
The answer is: A
|
A
|
mathematics
|
If a & b are the root of the equation 4x^2+3x+7=0, then 1/a+1/b=
|
[
"-3/7",
"3/7",
"-3/5",
"3/5",
"-3/4"
] |
we know that a+b=-3/4 and ab=7/4
so 1/a+1/b=(a+b)/ab
=(-3/7)
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If xy > 0, 1/x + 1/y = 2, and 1/xy = 8, then (x+y)/4 = ?
|
[
"1/16",
"1/6",
"1/5",
"5",
"6"
] |
(1/X+1/Y)=2 canbe solved as {(x+y)/xy}=8. Substituting for 1/xy=8, we get
x+y=2/8
==> (x+y)/4= 2/(8*4)=1/16.
A
The answer is: A
|
A
|
mathematics
|
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days X do they need to finish the same job?
|
[
"3",
"4",
"5",
"6",
"7"
] |
Let Rate of one worker be R
=> (6*R)*8 = 1 (Rate * Time = work)
=> R = 1/48
=> Work remaining after 3 days
1 - (3*6)/48 = 30/48
After 4 ppl joined in
((6+4)*Time)/48 = 30/48
Time X= 3 days to finish the task
IMO A
The answer is: A
|
A
|
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:
|
[
"50",
"100",
"150",
"200",
"250"
] |
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 is B.
The answer is: B
|
B
|
mathematics
|
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 890 in 4 years. The rate of interest per annum is?
|
[
"2 1/2 %",
"4%",
"5%",
"6 2/3 %",
"11 1/4%"
] |
S.I. on Rs. 800 for 1 year = (890 - 800) = Rs.90 Rate = (100 * 90)/(800 * 1) = 11 1/4%
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The price for a loaf of bread in April was $1.14, in May the price was $1.35, and in June the price was $1.05. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
|
[
"$1.13",
"$1.14",
"$1.15",
"$1.16",
"$1.17"
] |
Let x be the number of loaves sold in May.
Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.
The average price was (2x/3)(114) + 135x + (4x/3)(105) / (2x/3 + x + 4x/3) =
(76 + 135 + 140) / (3) = 351/3 = $1.17
The answer is E.
The answer is: E
|
E
|
mathematics
|
From a total of 4 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
|
[
"16",
"36",
"60",
"120",
"240"
] |
Answer=B=36
No of 4 person committees that can be formed=4C2*4C2=36
Answer B
The answer is: B
|
B
|
mathematics
|
An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 300 km from the starting point ?
|
[
"8 hrs 29 min",
"6 hrs 28 min",
"3 hrs 12 min",
"6 hrs 28 min",
"1 hrs 28 min"
] |
Explanation:
Time taken to cover 300 km = 300/100 = 3 hrs.
Number of stoppages = 300/75 - 1 = 3
Total time of stoppages = 4 x 3 = 12 min
Hence, total time taken = 3 hrs 12 min.
Answer: C
The answer is: C
|
C
|
mathematics
|
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
|
[
"26",
"88",
"90",
"42",
"22"
] |
SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15 = Rs. 90
Answer:C
The answer is: C
|
C
|
mathematics
|
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
|
[
"23",
"5",
"9",
"28",
"6"
] |
1/10 + 1/15 - 1/x = 1/18
x = 9
ANSWER C
The answer is: C
|
C
|
mathematics
|
Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125
|
[
"12",
"9",
"14",
"7",
"8"
] |
(3*5)*(2*2*2*2*2)*(5*5)*(2*11)*(2*2*2*2*5)*(5*5*3)*(2*7*7)*(2*2*2*2*7)*(5*5*5)
there are 9 (5*2) pairs which gives zero
so.no of zeros 9
ANSWER:B
The answer is: B
|
B
|
mathematics
|
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
|
[
"7%",
"9%",
"4%",
"2%",
"4%"
] |
150 = (750*5*R)/100
R = 4%
Answer: C
The answer is: C
|
C
|
mathematics
|
g is a negative number and h is a positive number, which of the following options must be positive?
|
[
"2g/h",
"h/g",
"(a + b)^4",
"g/h",
"gh"
] |
A. 2g/h
-ve/+ve=-ve
B.h/g
-ve/+ve=-ve
C.(a + b)^2
will be positive irrespective of the absolute values of x and y
will be positive always
D.g/h
-ve/+ve=-ve
B.gh
-ve*+ve=-ve
Correct answer C
The answer is: C
|
C
|
mathematics
|
If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 6x years from now?
|
[
"32",
"39",
"30",
"40",
"28"
] |
Assume the current age = a
a - x/4 = 14 (i)
a + x/4 = 4x
Or a = 15x/4 (ii)
Putting the value of a from (ii) in (i)
15x/4 - x/4 = 14
Or 14x/4 = 14 Therefore x = 4 and a = 15
6x years from now, age will be 15 + 6*4 = 39
Option B
The answer is: B
|
B
|
mathematics
|
What is the time required for a vehicle to cover a distance of 480 km with a speed of 60 kmh?
|
[
"6 hours",
"12 hours",
"9 hours",
"10 hours",
"8 hours"
] |
Time= Distance / Speed
Time = 480 / 60 = 8
Answer: E
The answer is: E
|
E
|
mathematics
|
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 90 Θ 33 ) Θ 17 ) - ( 97 Θ (33 Θ 17)) ?
|
[
"0",
"2",
"4",
"6",
"8"
] |
(( 90 Θ 33 ) Θ 17 )
The remainder of 90 divided by 33 is 24;
The remainder of 24 divided by 17 is 7;
( 97 Θ (33 Θ 17))
The remainder of 33 divided by 17 is 16;
The remainder of 97 divided by 16 is 1.
7 - 1 = 6.
Answer: D.
The answer is: D
|
D
|
mathematics
|
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 69 hats in this group, how many of these hats are not blue?
|
[
"28",
"42",
"48",
"64",
"76"
] |
B:G:P = 7:4:12 --> total of 23 parts.
Not blue = (G + P)/(total)*92 = 16/23*69 = 48.
Answer: C.
The answer is: C
|
C
|
mathematics
|
Working alone at its constant rate, machine K took 3 hours to produce 1/6 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 9 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
|
[
"8",
"12",
"16",
"21",
"27"
] |
Machine K works at a rate of 1/18 of the units per hour.
The rate of K + M together is 5/6 * 1/9 = 5/54 of the units per hour.
The rate of machine M is 5/54 - 3/54 = 1/27.
It would have taken machine M a total time of 27 hours.
The answer is E.
The answer is: E
|
E
|
mathematics
|
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 480 m, its area is?
|
[
"150",
"240",
"277",
"261",
"281"
] |
5x + 12x + 13x = 480 => x = 16
a = 80, b = 192, c = 208
S = (80 + 192 + 208)/2 = 240
Answer: B
The answer is: B
|
B
|
mathematics
|
A and B put in Rs.200 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
|
[
"39:40",
"39:49",
"39:42",
"39:47",
"17:20"
] |
Explanation:
1:2
A = 2/3*210 = 140
340: 400
17:20
Answer:E
The answer is: E
|
E
|
mathematics
|
A is three times as fast as B and working together, they can complete a work in 6 days. In how many days can B alone complete the work?
|
[
"11 days",
"16 days",
"13 days",
"24 days",
"19 days"
] |
A= 3B
A + B= 3B+ B= 4B
These 4B people can do the work in 6 days, which means B can alone do the work in 4*6=24 days.
Answer : D
The answer is: D
|
D
|
mathematics
|
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
|
[
"6.3",
"5.2",
"4.9",
"10.8",
"10.5"
] |
Answer: Option D
Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.
The answer is: D
|
D
|
mathematics
|
The probability that A speaks truth is 3/5 and that of B speaking truth is 2/7. What is the probability that they agree in stating the same fact?
|
[
"16/35",
"16/37",
"16/39",
"16/33",
"16/31"
] |
If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 3/5 * 2/7 + 2/5 * 5/7
= 16/35
Answer:A
The answer is: A
|
A
|
mathematics
|
A man sitting in a train which is travelling at 100 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
|
[
"52 kmph.",
"62 kmph.",
"12 kmph.",
"80 kmph.",
"None"
] |
Solution
Relative Speed = (280 / 9)m/sec
= (280/9 x 18/5)
= 112 kmph.
Speed of the train = (112 - 100)kmph
= 12 kmph.
Answer C
The answer is: C
|
C
|
mathematics
|
During a certain season, a team won 60 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
|
[
"80",
"70",
"56",
"50",
"105"
] |
We are first given that a team won 60 percent of its first 100 games. This means the team won 0.6 x 100 = 60 games out of its first 100 games.
We are next given that the team won 50 percent of its remaining games. If we use variable T to represent the total number of games in the season, then we can say T – 100 equals the number of remaining games in the season. Thus we can say:
0.5(T – 100) = number of wins for remaining games
0.5T – 50 = number of wins for remaining games
Lastly, we are given that team won 70 percent of all games played in the season. That is, they won 0.7T games in the entire season. With this we can set up the equation:
Number of first 100 games won + Number of games won for remaining games = Total Number of games won in the entire season
60 + 0.5T – 50 = 0.7T
10 = 0.2T
100 = 2T
50 = T
Answer is D.
The answer is: D
|
D
|
mathematics
|
A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 120 more than A :
|
[
"2348",
"3480",
"2767",
"1998",
"2771"
] |
Explanation:
A B C
investment 3x 4x 5x
Rate of return 6y% 5y% 4y%
Return \inline \frac{18xy}{100} \inline \frac{20xy}{100} \inline \frac{20xy}{100}
Total = (18+20+20) = \inline \frac{58xy}{100}
B's earnings - A's earnings = \inline \frac{2xy}{100} = 120
Total earning = \inline \frac{58xy}{100} = 3480
Answer: B) Rs.3480
The answer is: B
|
B
|
mathematics
|
In a kilometer race, X beats Y by 50 meters or 10 seconds. What time does X take to complete the race?
|
[
"190 sec.",
"176 sec.",
"154 sec.",
"120 sec.",
"170 sec."
] |
A
190 sec.
Time taken by Y run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by X = 200 - 10 = 190 sec.
The answer is: A
|
A
|
mathematics
|
What is the difference between the place values of two fives in the numeral 7589452
|
[
"499950",
"411150",
"500050",
"500000",
"50"
] |
Required difference = 500000-50 = 499950
Answer is A
The answer is: A
|
A
|
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