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stringclasses 1
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mathematics
|
shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
|
[
"8%",
"9%",
"3%",
"4%",
"2%"
] |
SP of first article = 1000
Profit = 20%
CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3
SP of second article = 1000
Loss = 20%
CP = (SP)*[100/(100-L)] = 5000/4 = 1250
Total SP = 2000
Total CP = 2500/3 + 1250 = 6250/3
CP is more than SP, he makes a loss.
Loss = CP-SP = (6250/3)- 2000 = 250/3
Loss Percent = [(250/3)/(6250/3)]*100
=0.04 * 100 = 4%
Answer:D
The answer is: D
|
D
|
mathematics
|
Mike's age is 57 years. If he is 5 more than twice the age of his son, find the age of his son.
|
[
"20 years",
"26 years",
"16 years",
"18 years",
"19 years"
] |
Let Mike's son age be x.
5 + 2 x = 57
x = 26
Hence Mike's son age is 26years
Answer : B
The answer is: B
|
B
|
mathematics
|
Find curved surface area of a cylinder with diameter of base 14 cm and height 60 cm.
|
[
"2601cm2",
"2610cm2",
"2620cm2",
"2630cm2",
"2640cm2"
] |
Volume = πR2H= π x 72 x 60 = 9240 cm3
Curved surface area = 2πRH = (2 π x 7 x 60) cm2 =2640 cm2
answer :E
The answer is: E
|
E
|
mathematics
|
From the set of numbers x, y, t, z and w, how many different combinations can we have without the t and z in them? Ex:. (x,y), (x), (w,y,x), etc and (x,y)=(y,x)
|
[
"6",
"14",
"15",
"16",
"30"
] |
Another way: Any letter (x, y, w) can be included or not. So, we have 2^3 combinations - 2 empty combination = 6 combinations
A
The answer is: A
|
A
|
mathematics
|
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 12 terms of the arithmetic progression?
|
[
"300",
"120",
"150",
"170",
"270"
] |
n th term of A.P. is given by a+(n-1)d
4 th term = a+3d
12 th term = a+11d
Given a+3d+a+11d=20 --> 2a+14d=20 --> a+7d = 10
Sum of n term of A.P = n/2[2a+(n-1)d]
subsitiuing n = 12 ...we get 12/2[ 2a + 14d] = 15 [a+7d] = 12*10 = 120...
Answer is B...
The answer is: B
|
B
|
mathematics
|
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph, find his average speed for the total journey?
|
[
"3.00kmph",
"2.50kmph",
"3.50kmph",
"3.11kmph",
"3.90kmph"
] |
M = 4.5
S = 2.5
DS = 7
US = 2
AS = (2 * 7 * 2) /9 = 3.11
Answer:D
The answer is: D
|
D
|
mathematics
|
The total of the ages of Amar, Akbar and Anthony is 36 years. What was the total of their ages five years ago ?
|
[
"21",
"44",
"66",
"16",
"18"
] |
Explanation:
Required sum = (36 - 3 x 5) years = (36 - 15) years = 21 years.
Answer: A
The answer is: A
|
A
|
mathematics
|
he average of 5 numbers is zero. Of them, at the most, how many may be greater than zero?
|
[
"0",
"4",
"10",
"19",
"8"
] |
Average of 5 numbers = 0.
Sum of 5 numbers (0 x 5) = 0.
It is quite possible that 4 of these numbers may be positive and if their sum is a the 5th number is (-a).
Answer: Option C
The answer is: C
|
C
|
mathematics
|
The ratio between c and y is 7/9; c and y are increased by 4, what is the ratio between the new values of c and y?
|
[
"7/9",
"14/9",
"7/18",
"11/13",
"It Cannot Be Determined"
] |
Ratio = 7k/9k = 7/9, 14/18, etc.
c and y are increased by 4 --> (7k + 4)/(9k + 4)
New ratio can be 11/13, 18/22, etc.
Answer: E
The answer is: E
|
E
|
mathematics
|
The ratio of the area of a square to that of the square drawn on its diagonal is
|
[
"1:2",
"1:0",
"1:7",
"1:5",
"1:6"
] |
Answer: A) 1:2
The answer is: A
|
A
|
mathematics
|
The average age 110 employees in a office is 40 years. Out of these, the average age of 65 employees is 45 years and that of the other 45 employees is 32 years. The age of the 110h employee is?
|
[
"34",
"35",
"45",
"32",
"40"
] |
Age of the 110th employee= 110*40- (65*45+45*32) = 4400-4365= 35 years
Answer is B
The answer is: B
|
B
|
mathematics
|
A tradesman by means of his false balance defrauds to the extent of 12%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
|
[
"26.4",
"25.44",
"27.5",
"28.54",
"27"
] |
Explanation:
g% = 12 + 12 + (12*12)/100
= 25.44%
Answer: B
The answer is: B
|
B
|
mathematics
|
A man has Rs. 240 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
|
[
"45",
"60",
"75",
"90",
"105"
] |
Answer : A
Let number of notes of each denomination be x.
Then, x + 5x + 10x = 240
16x = 240
x = 15.
Hence, total number of notes = 3x = 45.
The answer is: A
|
A
|
mathematics
|
A glass was filled with 24 ounces of water, and 0.06 ounce of the water evaporated each day during a 12-day period. What percent of the original amount of water evaporated during this period?
|
[
"0.003%",
"0.03%",
"3%",
"2%",
"30%"
] |
In 12 days 12*0.06=0.72 ounces of water evaporated, which is 0.72/24∗100=3 of the original amount of water.
Answer: C.
The answer is: C
|
C
|
mathematics
|
Lines y=4√5·x−2 and y=3√5·x−1 intersect at what height above the x axis?
|
[
"0",
"2√5",
"2",
"3√5",
"12√5"
] |
Solve two equations for y
y=4√5·x−2
y=3√5·x−1
Set the two equations equal to each other and solve for x
4√5·x−2=3√5·x−1
√5·x = 1
x = 1/√5
Plug x = 1/√5 into any one of the original equations to find the y value (height above x axis) where the two lines intersect
y=4√5·x−2
y=4√5·(1/√5)−2
y=4·1 - 2
y = 4 - 2
y = 2
Final answer:
C) 2
The answer is: C
|
C
|
mathematics
|
A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
|
[
"(400 - 100π) cm2",
"(400 - 2π) cm2",
"(400 – 200π) cm2",
"200π cm2",
"None of these"
] |
Explanation:
400- π*10*10=400-100 π
Answer IS A
The answer is: A
|
A
|
mathematics
|
7 teams compete in a track competition. If there are 14 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
|
[
"3",
"4",
"5",
"6",
"7"
] |
3(max wins) x 4 = 12 (4 teams win three events)
One team wins the other 2 events.
The answer is C.
The answer is: C
|
C
|
mathematics
|
If |y−12|<112|y−12|<112, which of the following could be a value of y?
|
[
"-11",
"-11/2",
"11/2",
"11",
"22"
] |
|y−12|<112|y−12|<112, is equivalent to −112<y−12<112−112<y−12<112.
Add 1212 to each part of the inequality: −112+12<y<112+12−112+12<y<112+12 --> −5<y<6−5<y<6.
Only answer C is from this range.
Answer: C.
The answer is: C
|
C
|
mathematics
|
What is the remainder when 42*49 is divided by 8?
|
[
"1",
"2",
"4",
"5",
"7"
] |
we can make use of the rule :
Remainder of { (a * b)/n}} = Remainder of (a/n) * Remainder of (b/n)
Here
Remainder of { 42 * 49)/8}} = Remainder of (42/8) * Remainder of (49/8) = 2 * 1 = 2
Answer :B
The answer is: B
|
B
|
mathematics
|
There are 6 people at a party sitting at a round table with 6 seats: A, B, C, D, E and F. A CANNOT sit next to either D or F. How many ways can the 6 people be seated?
|
[
"720",
"120",
"108",
"84",
"48"
] |
A,B,C,D,E and F can sit in (6-1)! ways -- 120
Now consider this, when we take AD as one person all of them can sit in AD, B, C, D ,E --> (5-1)! --> 24
now, this calculation considers clockwise and anti clockwise as different, i.e AD is different from DA. Therefore we have to divide this figure by 2, because We do not want to distinguish between AD and DA.
Hence there are 12 cases when AD sit to each other ( irrespective of AD or DA )
Similarly, there are 12 cases when AF sit to each other.
Similarly, we can say ADF can also be clockwise and anticlockwise, but we have to realize that, when counting AD and AF we have counted DAF or FAD TWICE ( once for each ) therefore we need to deduct the arrangement for DAF only once.
If DAF were 1 person, possible number of arrangements -- ADF,B,C,E --> 3!
We will not count it twice because we need to deduct this only once from AD and AF combination !
Therefore total count
5! - (4!/2 + 4!/2 -3!) = 120 - (12 + 12 -12 ) = 108
ANS:C
The answer is: C
|
C
|
mathematics
|
A dishonest milkman sells a 40 liter mixture of milk and water that contains milk and water in the ratio of 2:3. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?
|
[
"2:5",
"3:5",
"2:3",
"3:2",
"5:3"
] |
............................... Water ............... Milk ....................... Total
Initial ...................... 24 .................... 16 .............................. 40
20 Lts mix. taken out 24-12 ............... 16-8 ........................... 40-20
20 Lts milk added..... 12+20 ................ 8 .............................. 40
20 Lts mix. taken out 32-16 ............... 8-4 ........................... 40-20
20 Lts water added..... 16 ................ 4+20 .............................. 40
New ratio = 24:16 = 3:2
D
The answer is: D
|
D
|
mathematics
|
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 44 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
|
[
"40",
"42",
"44",
"46",
"48"
] |
Annie earned 40x + 4(2x) = 48x
Let H be the number of hours that Harry worked.
Harry earned 30x + 1.5x(H-30) = 48x
(1.5x)(H) = 63x
H = 42 hours
The answer is B.
The answer is: B
|
B
|
mathematics
|
if QUESTION =DOMESTIC what will b code for RESPONSE ????
|
[
"OMESUCEM",
"OMESICSM",
"OMESICEM",
"OMESISCM",
"OMESISCN"
] |
Q U E S T I O N
D O M E S T I C
we can see in the word'RESPONSE' only R and P are the letters whose code is not given, by having a look on options we can say code for R is O and code for P is S(bcz common in all options).now we can easily code the word 'RESPONSE'as 'OMESICEM'
ANSWER:C
The answer is: C
|
C
|
mathematics
|
In how many ways a committee, Consisting of 4 men and 6 women can be formed from 8 men and 10 women?
|
[
"266",
"86400",
"11760",
"14700",
"15720"
] |
To choose Required number of ways to form a committee:
Select 4 men out of 8 men and 6 women out of 10 women.
That is 8C4 * 10C6.
8C4=8!/4!*4!
=70
10C6=10!/6!*4!
=210
The Required number of ways=210*70=14700
D
The answer is: D
|
D
|
mathematics
|
Two trains are moving in opposite directions with speed of 90 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
|
[
"56",
"40",
"47",
"26",
"25"
] |
Explanation:
Relative speed = 90+90 = 180 km/hr (Since both trains are moving in opposite directions)
Total distance = 1.1+.9 = 2km
Time = 2/180 hr = 1/90 hr = 3600/90 seconds = 40 seconds
Answer: Option B
The answer is: B
|
B
|
mathematics
|
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 10 years is:
|
[
"111 × 1827 miles",
"999× 1238 miles",
"346 × 1012 miles",
"247 × 1012 miles",
"587 × 10^11 miles"
] |
The distance of the light travels in 10 years is:
5,870,000,000,000 × 10 miles.
= 58,700,000,000,000 miles.
= 587 × 10^11 miles.
Answer :E
The answer is: E
|
E
|
mathematics
|
K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 630?
|
[
"10",
"11",
"12",
"13",
"14"
] |
630 = 2*222 + (22*8) + 2*5
K weight of 600 = 2 +8+2 = 12
AnswerC
The answer is: C
|
C
|
mathematics
|
In the series 0, 3, 8, 15,__ What is the next number?
|
[
"22",
"23",
"24",
"25",
"26"
] |
3-0=3
8-3=5
15-8=7
difference increasing by 2 every time
next difference 9
15+9=24
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord E, in feet?
|
[
"30",
"25",
"15",
"10",
"5"
] |
Because the cord was extended to its full length at all items, the dog ran along a semi-circular path, from north to south.
The circumference of a full circle is 2*pi*r, but since we only care about the length of half the circle, the semi-circle path is pi*r.
E=pi*r = 30. Round pi = 3, then r = 10.
Chord is about 10 feet long.D
The answer is: D
|
D
|
mathematics
|
Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
|
[
"3378",
"627",
"276",
"828",
"112"
] |
Let the parts be x, y and [2379 - (x + y)]
x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)
11x/10 = 23y/20 = 6z/5 = k
x = 10k/11, y = 20k/23, z = 5k/6
But x + y + z = 2379
10k/11 + 20k/23 + 5k/6 = 2379
k = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5
x = [10/11 * (3 * 11 * 23 * 6)/5] = 828
Hence, the first part is Rs. 828.
Answer: D
The answer is: D
|
D
|
mathematics
|
A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price A. The store sold the first 150 copies in the first week at 80% more than A, and then over the next month, sold a 100 more at 20% more than A. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than A. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
|
[
"30% loss",
"10% loss",
"10% profit",
"20% profit",
"60% profit"
] |
[[A(150)(1.8)+A(100)(1.2)+A(150)(0.6)]/400A] - 1
[50[(3)(1.8) + (2)(1.2) + (3)(0.6)] / (50)(8)] - 1
[(5.4 + 2.4 + 1.8)/8] - [8/8]
+1.6/8
+20%
answer is D
The answer is: D
|
D
|
mathematics
|
If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
|
[
"40 cm",
"45 cm",
"50 cm",
"52 cm",
"57 cm"
] |
Explanation:
Let x and y be the length and breadth of the rectangle respectively.
Then, x - 4 = y + 3 or x - y = 7 ----(1)
Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)
(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(2)
Solving 1 & 2 , we get x = 16 and y = 9.
Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $35 more. What was his original selling price?
|
[
"$180",
"$280",
"$420",
"$550",
"$700"
] |
Let P be the original purchase price of the product.
Bill originally sold the product for 1.1*P.
In the second scenario, the purchase price is 0.9*P.
A 30% profit means the selling price would be 1.3*0.9*P = 1.17*P
Thus, according to the information in the question, 1.17P - 1.1P = 35
0.07 = 35
P = 500
The original selling price was 500*1.1 = 550.
The correct answer is D.
The answer is: D
|
D
|
mathematics
|
How many words can be formed using the letters of the word “DRAW”"
|
[
"20",
"22",
"24",
"26",
"29"
] |
There are ‘4’ different letters of the word “DRAW”
Number of Permutations taking all the letters at a time = 4P4
4!= 24
C
The answer is: C
|
C
|
mathematics
|
A certain car uses one gallon of gasoline every 36 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. When a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
|
[
"15%",
"20%",
"22.5%",
"25%",
"40%"
] |
4 miles on the highway = 4/36 gallons;
4 miles in the city = 4/20 gallons;
Total = 4/36 + 4/20 = 14/45 gallons.
8 miles on the highway = 8/30 gallons .
The % change = (14/45 - 8/36)/(8/36) = 0.40.
Answer: E.
The answer is: E
|
E
|
mathematics
|
If -1 < h < 5, which of the following has the greatest value?
|
[
"a) 1-h",
"b) 1+h",
"c) 1+h^2",
"d) 1-1/h",
"e) 1-1/(h^2)"
] |
easiest way of solving this would be to substitute a value.
lets say h= - 1/2
a) 3/2
b) 1/2
c) 5/4
d) 3
e) - 3
the value you chose is wrong . h cannot be 0.9 as -1<h<0. if you chose -0.9 answer will still be D.
Answer is E.
The answer is: E
|
E
|
mathematics
|
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
|
[
"100p/(125 – p)",
"150p/(250 – p)",
"300p/(375 – p)",
"400p/(500 – p)",
"500p/(625 – p)"
] |
News A) A= $1
(News B) B = $1.25 or $5/4
Total newspaper sold= x
No. of A Newspaper sold = p/100 *x is r% of total revenue
Total revenue: p/100*x*$1 + (100-p)/100*x*$5/4
Equation: px/100=r/100(px/100+(500/4-5p/4)x/100)
px/100=r/100(4px+500x-5px/400)
removing common terms as 100 and x out and keeping only r on RHS
p=r(500-p)/400 or r=400p/(500-p)..Answer..D
The answer is: D
|
D
|
mathematics
|
If two numbers are in the ratio 2:3. If 20 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
|
[
"A)10",
"B)20",
"C)25",
"D)30",
"E)40"
] |
2:3
2x + 20 : 3x + 20 = 3 : 4
4[2x + 20] = 3[3x + 20]
8x + 80 = 9x + 60
9x - 8x = 80 - 60
x = 20
Then smallest number is = 2
2x = 40
Correct Option E
The answer is: E
|
E
|
mathematics
|
HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 15%
|
[
"36",
"108",
"32",
"42",
"45"
] |
(x+30)*30=(115/100)(25x+30*30)
Solving we get 108.
Answer is B.
The answer is: B
|
B
|
mathematics
|
A shopping cart contains only apples, oranges, and pears. If there are three times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
|
[
"1/6",
"1/8",
"1/12",
"1/4",
"3/4"
] |
O = 3A
P = 4O = 12A
A = P/12
The answer is C.
The answer is: C
|
C
|
mathematics
|
The average salary of 20 workers in an office is Rs.1900 per month. If the manager's salary is added, the average salary becomes Rs.2000 p.m. What is the manager's annual salary?
|
[
"Rs.24,000",
"Rs.25,200",
"Rs.45,600",
"None of these",
"Cannot be determined"
] |
Explanation:
Manager's salary per month
= (Rs.21×2000−20×1900)) = Rs.4000
Manager's Annual salary = Rs.(4000×12)=Rs.48000
Correct Option:D
The answer is: D
|
D
|
mathematics
|
A man rows his boat 90 km downstream and 5` km upstream, taking 3 hours each time. Find the speed of the stream?
|
[
"7 kmph",
"5 kmph",
"2 kmph",
"8 kmph",
"1 kmph"
] |
Speed downstream = d/t = 90/(3) = 30 kmph
Speed upstream = d/t = 51/(3) = 17 kmph
The speed of the stream = (30 - 17)/2 = 7 kmph
Answer:A
The answer is: A
|
A
|
mathematics
|
Marc wants to make a minimum net profit of 20% on a his headphones, which he bought for $500. If originally, he was selling the pair at 25% gain, what is the largest discount he can allow?
|
[
"10%",
"0%",
"5%",
"3%",
"4%"
] |
E
If he bought the headphones at $500, he is currently selling them at (115/100)*500 = $625.
He wants to make a profit of 20%, which means he needs to sell them at (120/100)*500 = $600
The max discount he can allow is thus ((625-600)/625)*100 = 4%
The answer is: E
|
E
|
mathematics
|
The sum of two number is twice their difference, If one of the number is 10, the other number is ?
31/ 3
|
[
"3 1/3",
"30",
"1/3",
"4 1/4",
"None of these"
] |
Answer
Let the other number be x.
Then, 10 + x = 2(x - 10)
⇒ x = 30
Correct Option: B
The answer is: B
|
B
|
mathematics
|
In a 60 liters of mixture of spirit and water, water is 7 %. In order to make water 19%, how much water should be added?
|
[
"80/9 liters",
"70/9 liters",
"90/9 liters",
"60/9 liters",
"85/9 liters"
] |
let the amount of spirit is x liters so according to the given condition
x = 60*0.93 = 55.8 and amount of water = 4.2
let the water added = y liters
so (4.2+y)/(60+y) = 19/100
on solving we will get y = 80/9 liters
ANSWER:A
The answer is: A
|
A
|
mathematics
|
3x+4y=10
x^3+y^3=6
What is the minimum value of 3x+11y=?
|
[
"32",
"34",
"35",
"36",
"38"
] |
on subtracting 2 eqns we get y=4 and x=-2.
therefore 3x+11y=-6+44
=38.
ANSWER:E
The answer is: E
|
E
|
mathematics
|
(1^2+2^2+3^2+.....+12^2)=?
|
[
"330",
"345",
"365",
"385",
"650"
] |
formula is (1^2+2^2+3^2+....+n^2=1/6 n(n+1)(2n+1)
n=12
=(1/6x12x13x25)
=650
Answer is E.
The answer is: E
|
E
|
mathematics
|
Replace the ? by the correct Mathematics symbol to make the expression true
18 ? 12 ? 4 ? 5 = 59
|
[
"18 ÷ 12 x 4 - 5 = 59",
"18 + 12 ÷ 4 - 5 = 59",
"18 x 12 + 4 - 5 = 59",
"18 x 12 ÷ 4 + 5 = 59",
"18 x 12 ÷ 4 - 5 = 59"
] |
D
The answer is: D
|
D
|
mathematics
|
A man covers a distance on scooter. Had he moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower, he would have taken 40min more. The distance is.
|
[
"30 km",
"60 km",
"80 km",
"20 km",
"40 km"
] |
E
40 km
Let distance = x m
Usual rate = y kmph
x/y – x/y+3 = 40/60 hr
2y(y+3) = 9x ---------------------------------(1)
x/y-2 – x/y = 40/60 hr y(y-2) = 3x -----------(2)
divide 1 & 2 equations
by solving we get x = 40 km
The answer is: E
|
E
|
mathematics
|
Rahim bought 42 books for Rs.520 from one shop and 22 books for Rs.248 from another. What is the average price he paid per book ?
|
[
"s.17",
"s.18",
"s.12",
"s.11",
"s.10"
] |
Average price per book
= (520 + 248) / (42 + 22) = 768/ 64
= Rs.12
Answer:C
The answer is: C
|
C
|
mathematics
|
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
|
[
"Rs.18",
"Rs.47",
"Rs.44",
"Rs.28",
"Rs.28"
] |
π (152 - 132) = 176
176 * 1/4 = Rs.44
Answer: C
The answer is: C
|
C
|
mathematics
|
If xy ≠ 0 and x^2y^2 − xy = 20, which of the following could be y in terms of x?
I. 5/x
II. -4/x
III. 3/x
|
[
"I only",
"II only",
"I and II only",
"I and III",
"II and III"
] |
(x^2)(y^2) – xy - 20 = 0
(xy – 5)(xy + 4) = 0
xy – 5 = 0 or xy + 4 = 0
xy = 5 or xy = -4
Since we need y in terms of x, we can isolate y in both of our equations.
y = 5/x or y = -4/x
Answer: C
The answer is: C
|
C
|
mathematics
|
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
|
[
"6%",
"3%",
"8%",
"1%",
"4%"
] |
65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: E
The answer is: E
|
E
|
mathematics
|
Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
|
[
"5 %",
"12/11 %",
"2 %",
"5 5/11 %",
"10/6%"
] |
Explanation:
Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.
Selling Price (S.P.) = Rs. 5800.
Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.
Gain % =(300/5500*100)%=5 5/11 %
ANSWER:D
The answer is: D
|
D
|
mathematics
|
If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
|
[
"88 kg",
"65 kg",
"72 kg",
"44 kg",
"55 kg"
] |
(3 * 4)/48 = (9 * 2)/ x
x = 72 kg
Answer:C
The answer is: C
|
C
|
mathematics
|
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ?
|
[
"9%",
"10%",
"7%",
"6%",
"None of these"
] |
Explanation :
Actual Price = Rs.25 + Rs.2.50 = Rs.27.5
Saving = Rs.2.5
Percentage Saving = (2.5/27.5) × 100 = 250/27.5 = 2500/275
= 100/11 = 9(1/11)% ≈ 9%
Answer : Option A
The answer is: A
|
A
|
mathematics
|
Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (p,w). If w = 2, which of the following could be the equation of line m, which is perpendicular to line L?
|
[
"2x + y = px + 7",
"2x + y = –px",
"x + 2y = px + 7",
"y – 7 = x ÷ (p – 2)",
"2x + y = 7 – px"
] |
we need m=p-2, so we should get y=mx+bform in answer choices
(A) 2x+y=px+7 => y=px-2x+7 => y=x(p-2)+7. It is what we need
(B) 2x + y = –px => y=-px-2x => y=x(-p-2). Wrong
(C) x + 2y = px + 7 => y=x(p-1/2)+7/2. Wrong
(D) y – 7 = x ÷ (p – 2) => y=(1/p-2)x+7. Wrong
(E) 2x + y = 7 – px => y=-px-2x+7 => y=x(-p-2)+7. Wrong
A=answer
The answer is: A
|
A
|
mathematics
|
Which of the following is closest to 10^180 – 10^10 ?
|
[
"10^210",
"10^90",
"10^150",
"10^180",
"10^6"
] |
10^180 – 10^10
10^10 * (10^170 – 1)
as we know 10^2 - 1 means 100-1 and we get 99, which is approximately 100. hence (10^170 – 1) would remain as 10^170.
and 10^10 * 10^170 = 10^180. Answer is D.
The answer is: D
|
D
|
mathematics
|
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
|
[
"5",
"6",
"7",
"9",
"11"
] |
Explanation:
(10x + y) – (10y + x) = 54
x – y = 6
B)
The answer is: B
|
B
|
mathematics
|
Two men A and B start from place X walking at 4 1/2 kmph and 5 1/2 kmph respectively. How many km apart they are at the end of 3 1/2 hours if they are walking in the same direction?
|
[
"4 3/9",
"4 3/5",
"4 3/8",
"4 3/2",
"4 3/1"
] |
RS = 5 3/2 - 4 1/2 = 1 1/4
T = 3 1/2 h.
D = 5/4 * 7/2 = 35/8 = 4 3/8 km
Answer: C
The answer is: C
|
C
|
mathematics
|
In a group of 800 people, 1/5 play at least one instrument, 32 play two or more. What is the probability that one student play exactly one instrument?
|
[
"2/125",
"4/25",
"C)2/25",
"3/25",
"1/5"
] |
P(playing 2 or more instruments) = 32/800 = 1/25.
Then, the probability of playing exactly one instrument is given by:
P(playing 1 or more instruments) - P(playing 2 or more instruments) = 1/5 - 1/25 = 4/25.
Answer B.
The answer is: B
|
B
|
mathematics
|
If e + xy = e and x is not equal to 0, which of the following must be true?
|
[
"x<y",
"x+y=0",
"x=e",
"x=0",
"y=0"
] |
e + xy = e --> xy=0. Since x is not equal to 0, thus y = 0.
Answer: E.
The answer is: E
|
E
|
mathematics
|
If A's height is 35% less than that of B, how much percent B's height is more than that of A?
|
[
"66.66%",
"66.68%",
"53.84%",
"86.66%",
"66.65%"
] |
Excess of B's height over A's = [(35/(100 - 35)] x 100%
= 53.84%
Answer: C)
The answer is: C
|
C
|
mathematics
|
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
|
[
"20",
"99",
"88",
"77",
"66"
] |
1: 2/5 = 5: 2
2/7 * 70 = 20
Answer: B
The answer is: B
|
B
|
mathematics
|
Anish borrowed 15000 at the rate of 12% and an other amount at the rate of 15% for two years. The total interest paid by him was 9000. How much did he borrow?
|
[
"32,000",
"33,000",
"30,000",
"35,000",
"None of these"
] |
Let x be the other amount
\ 3x⁄10 + 3600 = 900 ⇒ x = 18000
\ total borrowed sum = 33000
Answer B
The answer is: B
|
B
|
mathematics
|
A train of length 180 metres takes 54 seconds to cross a tunnel of length 270 metres. What is the speed of the train in km/hr?
|
[
"50 km/hr.",
"20 km/hr.",
"30 km/hr.",
"40 km/hr.",
"None"
] |
Sol.
Speed = [180 + 270 / 54] m/sec = [450 / 54 * 18/5] km/hr =30 km/hr.
Answer C
The answer is: C
|
C
|
mathematics
|
Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity T for the round trip?
|
[
"24 miles per hour",
"48 miles per hour",
"50 miles per hour",
"53 1/3 miles per hour",
"68 miles per hour"
] |
Here's an Average Speed question in which the prompt gives you almost all of the immediate numbers needed to work with.
Driving from LA to SD, we have a distance of 120 miles and a speed of 40 miles/hour.
D = (R)(T)
120 = (40)(T)
120/40 = 3 = T
3 hours to drive to SD
On the way back, she drives 50% FASTER. Gill's return speed is (1.5)(40) = 60 miles/hour.
D = (R)(T)
120 = (60)(T)
120/60 = 2 = T
2 hours to drive to SD
Total Distance = 240 miles
Total Time = 3+2 = 5 hours
Average Speed = 240/5 = 48 miles/hour
Final Answer:
B
The answer is: B
|
B
|
mathematics
|
Seven 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 seven arrange themselves in line such that Frankie’s requirement is satisfied?
|
[
"1620",
"1820",
"2320",
"2420",
"2520"
] |
7 mobsters can stand in 7! ways = 5040
in half of the cases one person will be ahead and in the other person in the other half.
thus 5040/2= 2520 cases.
E
The answer is: E
|
E
|
mathematics
|
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 5.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
|
[
"4 p.m.",
"5 p.m.",
"6 p.m.",
"7 p.m.",
"3 p.m"
] |
Explanation:
Net ascent of the monkey in 1 hour = (30 - 20) feet = 10 feet.
So, the monkey ascends 90 feet in 9 hours i.e. till 2 p.m.
Clearly, in the next 1 hour i.e. till 3 p.m. the monkey ascends remaining 30 feet to touch the flag.
Answer:E
The answer is: E
|
E
|
mathematics
|
The sum of four consecutive even numbers is 292. What would be the largest number?
|
[
"33",
"88",
"76",
"123",
"12"
] |
Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 292 => x = 37
Smallest number is: 2(x +1) = 76.
Answer: C
The answer is: C
|
C
|
mathematics
|
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
|
[
"91 (1/3) kmph",
"21 (1/3) kilometre per hour",
"81 (1/3) kmph",
"21 (1/7) kmph",
"23 (1/3) kmph"
] |
Let the total distance be x km
total time taken
= (x/4)/16 + (3x/4)/ 24
= x/64 + x/32 = 3x/64
Average speed = x/(3x/64)
= 64/3kmph = 21 (1/3)kmph.
Answer:B
The answer is: B
|
B
|
mathematics
|
Two trains are moving in opposite directions with speed of 60 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
|
[
"56",
"48",
"47",
"26",
"25"
] |
Explanation:
Relative speed = 60+90 = 150 km/hr (Since both trains are moving in opposite directions)
Total distance = 1.1+.9 = 2km
Time = 2/150 hr = 1//75 hr = 3600/75 seconds = 1200/25 = 240/5 = 48 seconds
Answer: Option B
The answer is: B
|
B
|
mathematics
|
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
|
[
"5",
"2",
"3",
"4",
"6"
] |
4.5 4.5
30% 70%
30% ----- 4.5
70% ------? => 10.5 - 4.5 = 6 ml
ANSWER E
The answer is: E
|
E
|
mathematics
|
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
|
[
"12",
"19",
"60",
"180",
"720"
] |
4C3 * 5C2 * 3C2 = 4*60*3 = 720.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A rectangular window is twice as long as it is wide. If its perimeter is 16 feet, then what are its dimensions in feet?
|
[
"3/2 by 7/2",
"8/3 by 16/3",
"2 by 4",
"3 by 6",
"10/3 by 20/3"
] |
Let x be the width of the window. Then the length is 2x.
x+2x+x+2x = 16
6x = 16
x = 16/6 = 8/3
The width is 8/3 and the length is 16/3.
The answer is B.
The answer is: B
|
B
|
mathematics
|
The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
|
[
"76 m",
"178 m",
"235 m",
"187 m",
"176 m"
] |
Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (140 + x)/30 = 25/2
=> 2(140 + x)= 750 => x = 235 m.
Answer: C
The answer is: C
|
C
|
mathematics
|
If n is a positive integer and n^2 is divisible by 212, then the largest positive integer that must divide n is
|
[
"6",
"12",
"24",
"36",
"48"
] |
The question asks aboutthe largest positive integer that MUST divide n, not COULD divide n. Since the least value of n for which n^2 is a multiple of 72 is 12 then the largest positive integer that MUST divide n is 12.
Complete solution of this question is given above. Please ask if anything remains unclear.
I spent a few hours on this one alone and I'm still not clear. I chose 12 at first, but then changed to 48.
I'm not a native speaker, so here is how I interpreted this question:the largest positive integer that must divide n=the largest positive factor of n. Since n is a variable (i.e. n is moving), so is its largest factor. Please correct if I'm wrong here.
I know that if n = 12, n^2 = 144 = 2 * 72 (satisfy the condition). When n = 12, the largest factor of n is n itself, which is 12. Check: 12 is the largest positive number that must divide 12 --> true
However if n = 48, n^2 = 48 * 48 = 32 * 72 (satisfy the condition too). When n = 48, the largest factor of n is n itself, which is 48. Check: 48 is the largest positive number that must divide 48 --> true
So, I also notice that the keyword isMUST, notCOULD. The question is, why is 48 notMUST divide 48, but instead onlyCOULD divide 48? I'm not clear right here. Why is 12MUST divide 12? What's the difference between them?
Only restriction we have on positive integer n is that n^2 is divisible by 72. The least value of n for which n^2 is divisible by 72 is 12, thus nmustbe divisible by 12 (n is in any case divisible by 12). For all other values of n, for which n^2 is divisible by 72, n will still be divisible by 12. This means that n is always divisible by 12 if n^2 is divisible by 72.
Now, ask yourself: if n=36, is n divisible by 48? No. So, n is not always divisible by 48.
D
The answer is: D
|
D
|
mathematics
|
Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?
|
[
"$22",
"$24",
"$30",
"$36",
"$40"
] |
B its is.
Let price = X
(x-1)8 = 6X
X= 4
hence total money = 6*4= 24
The answer is: B
|
B
|
mathematics
|
An article is bought for Rs.675 and sold for Rs.700, find the gain percent?
|
[
"2%",
"3%",
"4%",
"5%",
"6%"
] |
675 ---- 25
100 ---- ? =>
=4%
Answer:C
The answer is: C
|
C
|
mathematics
|
There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
|
[
"85",
"91",
"97",
"103",
"110"
] |
The total number of ways to select 4 books is 9C4 = 126
The number of ways which do not include any paperbacks is 7C4 = 35
The number of combinations with at least one paperback is 126-35 = 91
The answer is B.
The answer is: B
|
B
|
mathematics
|
How many different ways can you select a pilot and a co pilot if you have 70 people to choose from?
|
[
"199",
"200",
"398",
"4830",
"9900"
] |
You are not just choosing two from 70. Each of the two people chosen fills a particular slot. The first filling the pilot slot and the second filling the copilot slot is different from the first filling the copilot slot and the second filling the pilot slot.
So the answer is in a sense (70C2) x 2 = 4830.
Ans D
The answer is: D
|
D
|
mathematics
|
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
|
[
"26 minutes and 18 seconds",
"45 minutes",
"42 minutes and 36 seconds",
"46 minutes and 12 seconds",
"48minutes and 15 seconds"
] |
L.C.M. of 252, 308 and 198 = 2772.
So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.
answer :D
The answer is: D
|
D
|
mathematics
|
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1100, what is the reduced price for kg?
|
[
"s.40",
"s.46",
"s.55",
"s.41",
"s.42"
] |
800*(25/100) = 275 ---- 5
? ---- 1
=> Rs.55
Answer: C
The answer is: C
|
C
|
mathematics
|
How much time will it take for an amount of 450 to yield 81 as interest at 4.5% per annum of simple interest?
|
[
"3.5 years",
"4 years",
"4.5 years",
"5 years",
"None"
] |
Explanation: Time = (100 x 81)/(450 x 4.5) years = 4 years.
Answer: Option B
The answer is: B
|
B
|
mathematics
|
Murali travelled from city A to city B at a speed of 20 kmph and from city B to city C at 80 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
|
[
"kmph",
"kmph",
"kmph",
"kmph",
"kmph"
] |
Let the distances between city A to B and B to C be 2x km and 3x km respectively.
Total time taken to cover from A to C
= (2x)/20 + (3x)/80
= (8x + 3x)/80 = 11x/80
= (2x + 3x)/(11x/80) = 36.4 kmph.
Answer: B
The answer is: B
|
B
|
mathematics
|
If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.51 then sum is
|
[
"Rs.5000",
"Rs.5100",
"Rs.5800",
"Rs.6000",
"Rs.6200"
] |
p(r/100)^2=C.I-S.I
P(10/100)^2=51
5100
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A fair coin is tossed 5 times. What is the probability of getting more heads than tails in 5 tosses?
|
[
"1/2",
"63/128",
"4/7",
"61/256",
"63/64"
] |
On each toss, the probability of getting a head is 1/2 and the probability of getting a tail is 1/2.
There is no way to get the same number of heads and tails on an odd number of tosses.
There will either be more heads or more tails.
Then there must be more heads on half of the possible outcomes and more tails on half of the possible outcomes.
P(more heads) = 1/2
The answer is A.
The answer is: A
|
A
|
mathematics
|
In a certain code VOLITION is written as UMIEUKRR, MARTINET is written as LYOPJPMX. How is DESTROYS written in this code?
|
[
"CCPPSQBW",
"CCPPSQBU",
"CCPPSQBV",
"CCPPSQBX",
"CCPPSQBZ"
] |
as per the sequence the
ans is D-1 = C
E-2 = C
S-3=P
T-4=P
R+1=S
O+2=Q
Y+3=B
S+4=W
ans is CCPPSQBW
ANSWER:A
The answer is: A
|
A
|
mathematics
|
Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of Krisp to Brano.
|
[
"1/2",
"1/3",
"1/4",
"1/5",
"1/6"
] |
w1 is the weight krisp, w2 is the weight of Brano
using weighted average formula w1/w2 = (c2 - avg) / (Avg-c1)
w1/w2 = 4-2 / 10-6 = 2/3
So Krisp and brano should be mixed in the ratio of 1/3.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
|
[
"Rs.962",
"Rs.672",
"Rs.546",
"Rs.876",
"None of these"
] |
Explanation:
surface area of a cube= 6 x 82 = 384sq.ft
quantity of paint required=(384/16)=24kg
cost of painting= 36.5 x 24 = Rs.876
Answer: D
The answer is: D
|
D
|
mathematics
|
Whats the reminder when 58,458,965,231,457,895,684,525,465,985,445 is divided by 16
|
[
"5",
"7.",
"2.",
"3",
"9"
] |
A number ending in a 0 is divisible by 2. A number ending in 2 zeroes is divisible by 4. A number ending in 3 zeroes is divisible by 8. A number ending in 4 zeroes in divisible by 16.
Given the obscene number, you should immediately be convinced that you will need to focus on a very small part of it.
58,458,965,231,457,895,684,525,465,985,445 = 58,458,965,231,457,895,684,525,465,980,000+5,445
The first number is divisible by 16. You just have to find the remainder when you divide 5445 by 16. That will be the remainder when you divide the original number by 16.
5445/16 gives remainder 5.
Answer (A)
The answer is: A
|
A
|
mathematics
|
In how many ways can 3 postcards can be posted in 5 postboxes?
|
[
"125",
"286",
"296",
"199",
"167"
] |
Ans: First card can go into any of the five boxes, Second can go into any of the five boxes, Third can go into any of the five boxes = 5×5×5=1255×5×5=125
Answer:A
The answer is: A
|
A
|
mathematics
|
There are 6 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?
|
[
"10/16",
"6/16",
"4/16",
"6/10",
"5/11"
] |
w = m+6
w+m = 16
m+6+m = 16
2m = 10
m = 5
w = 11
ratio:5:11
Ans: E
The answer is: E
|
E
|
mathematics
|
A runs 1 ¾ times as fast as B. if A gives B a start of 84 m, bow far must
winning post be so that A and B might reach it at the same time?
|
[
"196 m",
"194 m",
"186 m",
"296 m",
"106 m"
] |
. Ratio of the rates of A and B = 7/4 : 1 = 7 : 4.
So, in a race of 7 m, A gains 3m over B.
:. 3 m are gained by A in a race of 7 m.
:. 84 m are gained by A in a race of (7/3 x 84) m = 196 m.
:. Winning post must be 196 m away from the starting point.
Answer is A.
The answer is: A
|
A
|
mathematics
|
Mrs. Evans gave a test to her freshmen economics class, which has 30 students enrolled and 25 of them answered question 1 correctly. If 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?
|
[
"30",
"28",
"26",
"22",
"19"
] |
Total number of enrolled students = 30
Number of students who did not take test = 5
Hence, number of students who took test = 30 - 5 = 25
Number of students who answered Q2 correctly =22, therefore, all students who took test answered Q2 correctly.
So, number of students who answered Q1 correctly, also answered Q2 correctly = 22.
Number of students who answered both Q1 & Q2 correctly = 22.
ANSWER:D
The answer is: D
|
D
|
mathematics
|
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
|
[
"1/7",
"2/7",
"3/7",
"4/7",
"None of them"
] |
Original share of 1 person = 1/8
New share of 1 person = 1/7
Increase = (1/7 - 1/8 = 1/56)
Therefore, Required fraction = (1/56)/(1/8) = (1/56)x (8/1) = 1/7
Answer is A.
The answer is: A
|
A
|
mathematics
|
What is the present worth of Rs. 165 due in 2 years at 5% simple interest per annum?
|
[
"288",
"266",
"120",
"150",
"6123"
] |
Let the present worth be Rs. x. Then,
S.I. = (165 - x)
(x * 5 * 2) / 100 = (165 - x)
10x = 16500 - 100x
110x = 16500 => x = 150.
Answer: D
The answer is: D
|
D
|
mathematics
|
Two trains are moving at 65 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
|
[
"6 2/3 sec",
"7 1/7 sec",
"7 2/2 sec",
"8 1/2 sec",
"7 1/9 sec"
] |
70 + 65 = 135 * 5/18 = 75/2 mps
D = 150 + 100 = 250 m
T = 250 * 2/75 = 20/3 - 6 2/3 sec
Answer: A
The answer is: A
|
A
|
mathematics
|
If a and b are integers and (2^a)(3^b) is a factor of 300^40, what is the largest possible value of ab?
|
[
"a",
"5a",
"20a",
"40a",
"80a"
] |
(2^a)(3^b) is a factor of 300^40
We need to find the largest possible value of ab.
We know that 300 = 2^2*5^2*3
Therefore 300^40 will have only one power of 3 in it.
Hence in (2^a)(3^b), b has to be 1
Therefore value of ab = a
Correct Option: A
The answer is: A
|
A
|
mathematics
|
The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
|
[
"76",
"28",
"23",
"98",
"32"
] |
Let the initial number of members in the group be n.
Initial total weight of all the members in the group = n(48)
From the data,
48n + 78 + 93 = 51(n + 2) => 51n - 48n = 69 => n = 23
Therefore there were 23 members in the group initially.
Answer:C
The answer is: C
|
C
|
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