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mathematics
|
Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
|
[
"15000",
"15002",
"15029",
"15329",
"15012"
] |
Let the CP be Rs. x.
Had he offered 10% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 10/100(18000) = 18000 - 1800 = Rs. 16200
=> 1.08x = 16200
=> x = 15000
Answer: A
The answer is: A
|
A
|
mathematics
|
a man prpare the technical document it takes 2 hours for half an hour presentation and technical preparation. its screening takes 30 more minuts to prepare with the other guy.for to present a 7 half an hours how much time it will take
|
[
"37 hours",
"35 hours",
"37 1/2 hours",
"33 hours",
"34 hours"
] |
here first 2 hours to prepare a technical document and half-an-hour to screen it ..so total 2 1/2 hour work is need to 1/2 hour presentation....
For 7 1/2 hours presentation...
1/2 hour presentation-------------->>2 1/2 hour work done
7 1/2 hr presentation --------------> x hours work done
just do cross multiplication u will get x value i.e. required amount of time
since 7 1/2 hours contains 15 half-an-hours ...15* 2 1/2===== 30+7.5===total 37 1/2 hours
ANSWER:C
The answer is: C
|
C
|
mathematics
|
On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 20 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
|
[
"5",
"6",
"7",
"8",
"9"
] |
Let Bill run x on saturday, so he will run x+4 on sunday..
Julia will run 2*(x+4) on sunday..
totai= x+x+4+2x+8=20..
4x+12=20..
x=2..
ans =x+4=2+4=6
Answer B
The answer is: B
|
B
|
mathematics
|
Tough and Tricky questions: Arithmetic.
(8^2 + 8^2)/4^2 =
|
[
"4",
"29",
"8",
"58",
"116"
] |
Ans is 8
my approach was:
(8^2 + 8^2)/4^2 =8(8+8)/4*4
=8*16/4*4=2*4=8
C
The answer is: C
|
C
|
mathematics
|
If n is a 27-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 27
|
[
"I only",
"I and II only",
"I and III only",
"II and III only",
"I, II and III"
] |
Rule for divisibility by 3: The sum of the digits of the number should be multiple of 3
Rule for divisibility by 9: The sum of the nos digits of the number should be divisible by 9 or the number should be divisible by 3 two times.
Rules for divisibility by 27: The sum of the digits should a multiple of 27
Consider no 11111111...27 times = The sum 27*1=27----> divisbible by 3,9 and 27
consider number to be 222....27 times, then sum of the no. 27*2=54 divisible by 3,9 and 27
So why so because when you sum the numbers either you can add the digits 27 times or multiply the digit *27..
Note that since 27 is divisible by 27,9 and 3 and thus the sum of the nos will be divisible by all the nos.
Answer is E
The answer is: E
|
E
|
mathematics
|
Find the odd man out. 742, 743, 633, 853, 871, 990, 532
|
[
"532",
"990",
"633",
"742",
"871"
] |
Explanation :
In all numbers except 742, the difference of third and first digit is the middle digit.
Answer : Option D
The answer is: D
|
D
|
mathematics
|
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
|
[
"16 2/6%",
"16 9/3%",
"16 2/3%",
"16 3/3%",
"12 2/3%"
] |
10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
Answer:C
The answer is: C
|
C
|
mathematics
|
Robert ate 10 chocolates, Nickel ate 5 chocolates. How many more chocolates did Robert ate than nickel?
|
[
"A)4",
"B)7",
"C)9",
"D)5",
"E)2"
] |
10-5=5. Answer is D
The answer is: D
|
D
|
mathematics
|
What is the minimum value of z for which z^2 + z - 3/8> 0 is not true?
|
[
"-5/2",
"-3/2",
"-1/2",
"-3/4",
"1/2"
] |
I think D -3/4 is the best ans...
The answer is: D
|
D
|
mathematics
|
Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her eighteen kids?
|
[
"8",
"9",
"5",
"7",
"10"
] |
cost of each apple = 4 dollars
Apples that Benny can buy with the amount she has=360/4 = 90.
Apples that each kid gets evenly = 90/18 = 5 Apples.
So the answer is C=5
The answer is: C
|
C
|
mathematics
|
Line m lies in the xy-plane. The y-intercept of line m is -1, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?
|
[
"-3",
"-1",
"-1/3",
"0",
"Undefined"
] |
Ans: E
Solution: line m goes through midpoint of (2, 4) and (6, -8). midpoint is (4,-2)
as we can see that the y axis of intercept point is (0,-1) means line m is parallel to x axis
slope M= 0
Ans: E
The answer is: E
|
E
|
mathematics
|
Which of the following is a prime number
|
[
"13",
"14",
"15",
"16",
"18"
] |
Clearly, 13 is a prime number.
Option A
The answer is: A
|
A
|
mathematics
|
Find the next number in the series below ?
298 209 129 58 ?
|
[
"5",
"10",
"-4",
"-10",
"0"
] |
C
-4
298 less 209 is 89
209 less 129 is 80
129 less 58 is 71
58 less -4 is 62
The result of each subsequent equation is 9 less than the previous one.
The answer is: C
|
C
|
mathematics
|
A man sells an article at a gain 15%. If he had bought it at 10% less and sold it for 6 less, he would have gained 25%. Find the cost price of the article.
|
[
"150",
"160",
"170",
"180",
"240"
] |
Let the C.P. be 100
First S.P. = 115
Second C.P. = 90
Second S.P = 125% of 90 = 112.50
Difference of two selling prices is 115 β 112.50 = 2.50 and C.P. of the article is 100
But actual difference is 6.
β΄ C.P. = 100β2.50 Γ 6 = 240.
Answer E
The answer is: E
|
E
|
mathematics
|
A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
|
[
"40 sec",
"50 sec",
"44 sec",
"49 sec",
"28 sec"
] |
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 210 + 140 = 350 m
Required time = 350 * 2/25 = 28 sec
Answer:E
The answer is: E
|
E
|
mathematics
|
How many ways are there to split a group of 4 girls into two groups of 2 girls each? (The order of the groups does not matter)
|
[
"7",
"6",
"5",
"4",
"3"
] |
the combination is 4C2 /2
= 4!/2!*2! *2 = 3
E
The answer is: E
|
E
|
mathematics
|
What is the least value of x, So that 2x5478 is divisible by 9
|
[
"7",
"8",
"9",
"1",
"2"
] |
Explanation:
The sum of the digits of the number is divisible by 9.
Then the number is divisible by 9.
2 + x + 5 + 4 + 7 + 8 = 26 + x
Least value of x may be '1',
So that the total 26 + 1 = 27
is divisible by 9.
Answer: Option D
The answer is: D
|
D
|
mathematics
|
If Rs. 782 be divided into three parts, proportional to 1/2: 2/3: 3/4, then the first part is:
|
[
"202",
"203",
"204",
"205",
"206"
] |
(1/2+2/3+3/4)x=782
x=782*12/23=408
fist part is: (1/2)x=408/2=204
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 19. The larger of the two numbers is:
|
[
"437",
"299",
"322",
"345",
"355"
] |
Clearly, the numbers are (23 x 13) and (23 x 19).
Larger number = (23 x 19) = 437. Answer: Option A
The answer is: A
|
A
|
mathematics
|
there is park of length 100 m and width 80m.there is path in middle of park across the length and breadth crossing each other.the breadth of path 3m.what % of park used for path?
|
[
"5.53",
"6.63",
"4.43",
"8.61",
"5.81"
] |
area of park=100*80=8000m2.
area of path=100*3+80*3-3*3=300+240-9=540-9=531m2.
%of path=531/8000*100=6.6375%
answer B
The answer is: B
|
B
|
mathematics
|
In a fuel station the service costs $2.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 70 liters and a truck's tank is 120% bigger and they are all empty-?
|
[
"312.6$",
"321.05$",
"343.7$",
"398.85$",
"412.12$"
] |
Service cost of 3 van and 2 truck = 2.05*(3+2)=10.5
Fuel in 3 Van = 3*70=210 litre
Fuel in 2 Trucks =2 * 70(1+120/100)= 308
Total fuel(Van+Truck) = 518 Litre
Total Fuel cost = 518*0.6 =310.8
TOTAL COST =FUEL+SERVICE=310.8+10.25=321.05
ANSWER IS B
The answer is: B
|
B
|
mathematics
|
A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.
|
[
"12 hours",
"6 hours",
"8 hours",
"10 hours",
"4 hours"
] |
Explanation :
Work done by A in 1 hour = 1/4
Work done by B and C in 1 hour = 1/3
Work done by A and C in 1 hour = 1/2
Work done by A,B and C in 1 hour = 1/4+1/3 = 7/12
Work done by B in 1 hour = 7/12 β 1/2 = 1/12 => B alone can complete the work in 12 hours
Answer : Option A
The answer is: A
|
A
|
mathematics
|
Which of the following functions f(x) satisfies the condition f(y-z) = f(y)-f(z) for all possible values of y and z?
|
[
"f(x) = x2",
"f(x) = x + (xβ1)^2",
"f(x) = x-1",
"f(x) = 5/x",
"f(x) = x/5"
] |
E. f(x) = x/5
Now for LHS x=y-z
so F(x) = F(y-z)
put x as Y-Z in X/5
f(y-z)=y-z/5= y/5-z/5---------1
similarly RHS
F(Y) = y/5---
F(Z)=Z/5 ---
F(Y)-F(Z)=Y/5 - Z/5------------2
we can see LHS =RHS ..so E remains.
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The sum of money at compound interest amounts to thrice itself in 5 years. In how many years will it be 21 times itself?
|
[
"18 years",
"9 years",
"12 years",
"16 years",
"30 years"
] |
100 ---- 300 --- 5
900 --- 5
1200---5
1500----5
1800---5
2100---5
6 years
Answer: E
The answer is: E
|
E
|
mathematics
|
Each month a retailer sells 100 identical items. On each item he makes a profit of $30 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
|
[
"191",
"213",
"221",
"223",
"226"
] |
For this question, we'll need the following formula:
Sell Price = Cost + Profit
We're told that the profit on 1 item is $20 and that this represents 10% of the cost:
Sell Price = Cost + $30
Sell Price = $300 + $30
Thus, the Sell Price is $330 for each item. Selling all 100 items gives the retailer...
100($30) = $2,000 of profit
If the retailer offers a 5% discount on the sell price, then the equation changes...
5%(330) = $16.5 discount
$313.5 = $300 + $13.5
Now, the retailer makes a profit of just $13.5 per item sold.
To earn $2,000 in profit, the retailer must sell....
$13.5(X) = $2,000
X = 2,000/13.5
X = 222.222222 items
You'll notice that this is not among the answer choices.... 221 and 223 are.
Selling 221 items would get us 9(221) = $1989 which is NOT enough money. To get back to AT LEAST $2,000, we need to sell 223 items.
Final Answer:
D
The answer is: D
|
D
|
mathematics
|
If n is a positive integer, then n*(n+1)*(n+2) is
|
[
"even only when n is even",
"even only when n is odd",
"odd whenever n is odd",
"divisible by 3 only when n is odd",
"divisible by 4 whenever n is even"
] |
n*(n+1)*(n+2)= +ve even integer divisible by 4 ( e.g 6,7&8)
E
The answer is: E
|
E
|
mathematics
|
10^(60) ΓΒ· 10^(58) = ?
|
[
"10(6)",
"100000",
"100",
"10000",
"None of these"
] |
10^(60) ΓΒ· 10^(58) = 10^ (60-58) = 10^2
= 10*10 = 100
Answer : C
The answer is: C
|
C
|
mathematics
|
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
|
[
"3",
"9",
"3^5",
"5^3",
"2^4"
] |
The first letter can be posted in any of the 3 post boxes. Therefore, we have 3 possibilities.
Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.
Each of the 5 letters has 3 possibilities because we can post any number of letters in all of the boxes.
Therefore, the total number of ways the 5 letters can be posted in 3 boxes is
3 * 3 * 3 * 3 * 3 = 3^5
Ans:C
The answer is: C
|
C
|
mathematics
|
A and Bβs salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is Aβs salary?
|
[
"7189",
"7282",
"7298",
"1500",
"1576"
] |
(5/100) A = (15/100) B
A = 3B
A + B = 2000
4B = 2000 => B = 500
A = 1500
Answer: D
The answer is: D
|
D
|
mathematics
|
P says to Q "I am thrice as old as you were when i was as old as you are". If the sum of their present age is 100 years, then the present age of Q?
|
[
"35.5",
"36.5",
"37.5",
"38.5",
"39.5"
] |
let the present age of q be x
the age of q years back(to be defined) is x/3
as the age of p will be x by then .
Years passed= x-x/3=2x/3(subtracting age of q)
so p acurrent age is x+2x/3
and q current age is x
adding them to 100
we get x =37.5
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find B's share.
|
[
"Rs. 3240",
"Rs. 2520",
"Rs. 2880",
"Rs. 3360",
"None of these"
] |
Explanation:
Let C's investment = Rs. x
B's investment = Rs. (x - 3000)
A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)
Now, (A + B + C)'s investment = Rs. 72000
=> x + (x - 3000) + (x + 3000) = 72000
=> 3x = 72000
=> x = 24000
Hence, A's investment = Rs. 27000
B's investment = Rs. 21000
C's investment = Rs. 24000
Ratio of the capitals of A, B and C
= 27000 : 21000 : 24000
= 9 : 7 : 8
A's share = Rs. [(7/24) Γβ 8640] = Rs. 2520
Answer: Option B
The answer is: B
|
B
|
mathematics
|
In a shop 80% of the articles are sold at a profit of 10% and the remaining at a loss of 40%.what is the overall profit/loss?
|
[
"10% profit",
"10% loss",
"15% profit",
"no profit, no loss",
"none"
] |
80*1.1+20*0.6/100=1
ANSWER:D
The answer is: D
|
D
|
mathematics
|
If a, b are the two roots of a quadratic equation such that a + b = 24 and a β b = 8, then the quadratic equation having a and b as its roots is :
|
[
"x2 + 2x + 8 = 0",
"x2 - 4x + 8 = 0",
"x2 - 24x + 128 = 0",
"2x2 + 8x + 9 = 0",
"None of these"
] |
Sol.(c) a + b = 24 and a β b = 8
=> a = 16 and b = 8 => ab = 16 Γ 8 = 128
A quadratic equation with roots a and b is
x2 - (a + b)x + ab = 0 or x2 - 24x + 128 = 0
Answer C
The answer is: C
|
C
|
mathematics
|
The bankers gain of a certain sum due 2 years hence at 10% per annum is Rs 24 .The percent worth is
|
[
"387",
"238",
"278",
"600",
"281"
] |
Explanation:
T.D = (B.G * 100) / (Rate * Time)
(24*100) / (10 * 2)
= 120.
P.W = (100 *T.D) / (Rate * Time)
= (100 * 120) /(10 * 2)
= 600
Answer: D) 600
The answer is: D
|
D
|
mathematics
|
On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?
|
[
"40",
"44.44",
"42",
"46",
"48"
] |
To solve the average speed questions, we need to know the total distance and the total time.
Let us assume that the distance from work = D
This will also be the distance from work to home
Hence total distance travelled = 2D
Time in going to work = D/50,
Time in coming back from work = D/40
Hence average speed of both the trips = 2D/ (D/50 + D/40)
= 2*200/12 = 44.44
B
The answer is: B
|
B
|
mathematics
|
Solve 7x β 5 = 4x + 11
|
[
"5(1/3)",
"6(1/3)",
"7(1/3)",
"8(1/3)",
"9(1/3)"
] |
Sol.
7x β 5 = 4x + 11
=> 7x β 4x = 11 + 5
=> 3x = 16 => x = 16/3 = 5(1/3).
Answer A
The answer is: A
|
A
|
mathematics
|
Simplify: (4 β 6) β (12+17+3)-(3+5)
|
[
"-10",
"-42",
"-44",
"-41",
"50"
] |
Solution:
(4-6)-(12+17+3)-(3+5)
=(-1)-32-8
=-1-32-8
=-33-8
-41
Answer: (D)
The answer is: D
|
D
|
mathematics
|
How many steel rods, each of length 14 m and diameter 4 cm can be made out of 1.76 cm3 of steel?
|
[
"80",
"90",
"100",
"110",
"120"
] |
Volume of 1 rod = (22/7)x(2/100) x (2/100) x 14 ) m3 =11/625 m3
Volume of steel = 1.76 m3
Number of rods =(1.76 x 625/11) =100
answer :C
The answer is: C
|
C
|
mathematics
|
how many square are there between 2001....2300 I don't remember the exact series.
|
[
"1",
"4",
"2",
"3",
"5"
] |
series was from 2001 to 2300
45^2=2025
46^2=2116
47^2=2209
48^2=2304 (so exclude 48)
so ans is 3 (45,46 and 47)
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The ratio of two numbers is 2 : 5 and their H.C.F. is 5. Their L.C.M. is
|
[
"50",
"22",
"56",
"27",
"67"
] |
Explanation:
Let the numbers be 2x and 5x. Then, their H.C.F. = x. So, x = 5.
So, the numbers 10 and 25.
L.C.M. of 10 and 25 = 50.
Option A
The answer is: A
|
A
|
mathematics
|
If an item that originally sold for c dollars was marked up by a percent and then discounted by b percent, which of the following expressions represents the final price of the item?
|
[
"(10,000c + 100c(a β b) β abc)/10,000",
"(10,000c + 100c(b β a) β abc)/10,000",
"(100c(a β b) β abc)/10000",
"(100c(b β a) β abc)/10000",
"10000 /(a β b)"
] |
Assume c=100, a=10, b=10. So final price is 99. Now put these value each option. Only option A will give right answer.
The answer is: A
|
A
|
mathematics
|
Sneha went to the stationers and bought things worth Rs. 50, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 5%. then what was the cost of the tax free items?
|
[
"Rs. 39.60",
"Rs. 39.50",
"Rs. 39.80",
"Rs. 49.50",
"Rs. 49.75"
] |
Solution
Let the amount of taxable purchases be Rs.x.
Then, 5% of x = 50/100
x βΉ=βΊ (50/100Γ100/5)
= 10
Cost of tax free items = Rs.[50 - (10 + 0.50)]
= Rs. 39.50
Answer B
The answer is: B
|
B
|
mathematics
|
A person covered one-fourth of the total distance at 15 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
|
[
"20 (1/8)kmph",
"20 (20/23)kmph",
"20 (17/23)kmph",
"27 (1/23)kmph",
"21 (1/8)kmph"
] |
Let the total distance be x km
total time taken = (x/4)/15 + (3x/4)/24 = x/60 + x/32 = 23x/480
Average speed = x/(23x/480) = 480/23kmph
= 20 (20/23)kmph.
Answer:B
The answer is: B
|
B
|
mathematics
|
The average of 2,7,6 and x is 5. Find the value of x?
|
[
"10",
"8",
"12",
"15",
"5"
] |
average = (2+7+6+x)/4 = 5
x = 5
Answer is E
The answer is: E
|
E
|
mathematics
|
A diagonal is a line segment that connects non-adjacent vertices in a polygon. How many diagonals does an octagon have?
|
[
"20",
"40",
"60",
"90",
"80"
] |
Select one vertex and you can draw 5 diagonals.
If you draw 5 such diagonals for each of the 8 vertices, you will draw a total of 5 Γ 8 = 40 diagonals. But you actually draw each diagonal twice, once from each of its ends. Therefore, there are a total of 40 Γ· 2 = 20 different diagonals
correct answer A
The answer is: A
|
A
|
mathematics
|
In how many years Rs 160 will produce the same interest at 8% as Rs. 500 produce in 4 years at 8%
|
[
"13",
"13.5",
"11.5",
"12.5",
"12"
] |
Explanation:
Clue:
Firstly we need to calculate the SI with prinical 500,Time 4 years and Rate 8%, it will be Rs. 160
Then we can get the Time as
Time = (100*160)/(160*8) = 12.5
Option D
The answer is: D
|
D
|
mathematics
|
f a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
|
[
"4/15",
"4/10",
"4/18",
"4/13",
"4/11"
] |
P(Sα΄K) = P(S) + P(K) - P(Sβ©K), where S denotes spade and K denotes king.
P(Sα΄K) = 13/52 + 4/52 - 1/52 = 4/13
Answer:D
The answer is: D
|
D
|
mathematics
|
The two lines y=x and x=-5 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
|
[
"7.5",
"10",
"12.5",
"15",
"17.5"
] |
The point of intersection is (-5,-5).
The triangle has a base of length 5 and a height of 5.
area = (1/2)*base*height = (1/2)*5*5 = 12.5
The answer is C.
The answer is: C
|
C
|
mathematics
|
In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
|
[
"720",
"1720",
"48",
"5040",
"10080"
] |
Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.
Answer: C.
The answer is: C
|
C
|
mathematics
|
If xyz represents a positive three-digit number, where x, y and z are one-digit integers, which of the following CANNOT be true?
|
[
"y β x - z = 9",
"x β y - z = 9",
"x + y + z = 9",
"xyz = 9",
"x/y/z = 9"
] |
The (hundreds place digit, x) cannot be zero, but (tens and ones place digits; y and z) can be zero.
A is NOT possible
B is possible
C is possible
D is possible
E is possible
Answer: A
The answer is: A
|
A
|
mathematics
|
The C.P of 17 books is equal to the S.P of 20 books. Find his gain% or loss%?
|
[
"16 2/3% loss",
"16 2/8% loss",
"16 3/3% loss",
"36 2/3% loss",
"15% loss"
] |
17 CP = 20 SP
20 --- 3 CP loss
100 --- ? => 15% loss
Answer:E
The answer is: E
|
E
|
mathematics
|
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
|
[
"7 sec",
"6 sec",
"8 sec",
"5 sec",
"4 sec"
] |
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [110 * 3/55] sec = 6 sec
Answer: B
The answer is: B
|
B
|
mathematics
|
A coin is tossed live times. What is the probability that there is at the least one tail?
|
[
"31/32",
"31/39",
"37/32",
"11/32",
"31/82"
] |
Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32
= 31/32
Answer:A
The answer is: A
|
A
|
mathematics
|
The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 β 20x + 25. If the sum of the perimeters of both squares is 36, what is the value of x?
|
[
"3",
"5",
"7",
"9",
"11"
] |
The areas are (x+5)^2 and (2x-5)^2.
The lengths of the sides are x+5 and 2x-5.
If we add the two perimeters:
4(x+5) + 4(2x-5) = 36
12x = 36
x = 3
The answer is A.
The answer is: A
|
A
|
mathematics
|
Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at four Mariaβs rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
|
[
"1 hr 20 min",
"1 hr 45 min",
"1 hr",
"2 hr 20 min",
"3 hr"
] |
Sol:
Lets Perry Rate be P and Rate of Maria be M
(rate)*(time)= Work or rate = work/time
first equation=> P+M = 1/45
converting it to hrs P+M= 1/(45/60) => 1/(3/4) =>4/3
second equation => M+4M =>1/30
converting it to hrs 5M=1/(30/60) =>1/(1/2) =>2
therefore M= 2/5 and P=14/15
Rate of Perry = 14/15
time= work/rate (work = 1 job)
Time ~ 1 hrs
Answer : C
The answer is: C
|
C
|
mathematics
|
Last year, for every 100 million vehicles that travelled on a certain highway, 94 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
|
[
"288",
"320",
"2,820",
"3,200",
"28,800"
] |
To solve we will set up a proportion. We know that β100 million vehicles is to 94 accidents as 3 billion vehicles is to x accidentsβ. To express everything in terms of βmillionsβ, we can use 3,000 million rather than 3 billion. Creating a proportion we have:
100/94= 3,000/x
Cross multiplying gives us:
100x = 3,000 * 94
x = 30 * 94 = 2,820
Correct answer is C.
The answer is: C
|
C
|
mathematics
|
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in meterr?
|
[
"40 m",
"60 m",
"65 m",
"70 m",
"80 m"
] |
Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300 m = 200 m.
26.50
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m
B
The answer is: B
|
B
|
mathematics
|
Hendrix works 20 days a month at d dollars per day for m months out of the year. Which of the following represents his 5 year pay?
|
[
"m/(20d*5)",
"100md",
"50md/6",
"20d/5m",
"20d/5"
] |
Total income of Amber in a year = d*20*m dollars. Now 5 year income = Total*5= d*20*m *5 = 100md Answer is B
The answer is: B
|
B
|
mathematics
|
In an IT company, there are a total of 90 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
|
[
"10",
"45",
"55",
"35",
"65"
] |
You could pick 40 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 45.
B
The answer is: B
|
B
|
mathematics
|
A pipe can fill a cistern in 18 minutes whereas the cistern when fill can be emptied by a leak in 36 minutes. When both pipes are opened, find when the cistern will be full?
|
[
"17",
"36",
"70",
"13",
"12"
] |
1/18 - 1/36 = 1/36
36 minutes
Answer: B
The answer is: B
|
B
|
mathematics
|
There are 12 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
|
[
"3/14",
"5/19",
"7/22",
"9/23",
"11/28"
] |
P(first stamp is different) = 7/12
P(second stamp is different) = 6/11
P(both stamps are different) = 7/12*6/11 = 7/22
The answer is C.
The answer is: C
|
C
|
mathematics
|
What sum of money will produce Rs.70 as simple interest in 5 years at 3 1/2 percent?
|
[
"337",
"500",
"266",
"400",
"211"
] |
70 = (P*5*7/2)/100
P = 400
Answer: D
The answer is: D
|
D
|
mathematics
|
In a pack of playing cards a card is drawn at random. What is the probability that the card selected is a red king card?
|
[
"1/26",
"1/13",
"3/26",
"2/13",
"5/26"
] |
Total cards=52. Number of red king cards=2. Probability of selecting a red king card=2/52=1/26.
Correct Answer: A
The answer is: A
|
A
|
mathematics
|
In an election, candidate Smith won 52% of the total vote in Counties A and E. He won 61% of the vote in County A. If the ratio of people who voted in County A to County E is 3:1, what percent of the vote did candidate Smith win in County E ?
|
[
"A.25%",
"B.27%",
"C.34%",
"D.43%",
"E.49%"
] |
(61%)*3x + (y%)*x = (52%)*4x
y = 25% of County E
hence answer is A.
The answer is: A
|
A
|
mathematics
|
A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $250.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
|
[
"$0.60",
"$0.80",
"$1.00",
"$1.20",
"$1.40"
] |
Let price of a sundae = S
Price of ice cream bar = .6 $
125 * .6 + 125*S = 250
=> 125*S = 175
=> S = 1.4
Answer E
The answer is: E
|
E
|
mathematics
|
total 63 matches are conducted in Knockout match type. How many players will be participated in that tournament?
|
[
"60",
"61",
"62",
"63",
"64"
] |
64 players
ANSWER:E
The answer is: E
|
E
|
mathematics
|
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is
|
[
"22030",
"220030",
"23030",
"24030",
"20303"
] |
Explanation:
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
Option B
The answer is: B
|
B
|
mathematics
|
There are 193 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 25 are members of both sets A and B. How many of the members of set U are members of set A ?
|
[
"72",
"85",
"110",
"98",
"108"
] |
You had the answer almost right. The x = 85 refers to ONLY set A.
However what's being asked is how many members are part of set A. This will include:
1. Only Set A
2. Set A and Set B
So the answer is Set A = 85 + Set AB = 85+25= 110
C
The answer is: C
|
C
|
mathematics
|
The triplicate ratio of 1:9 is?
|
[
"1:0",
"1:8",
"1:7",
"1:2",
"1:729"
] |
13: 93 = 1:729
Answer: E
The answer is: E
|
E
|
mathematics
|
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
|
[
"Rs.3630",
"Rs.2840",
"Rs.3200",
"Rs.5600",
"Rs.3000"
] |
Explanation:
6300:4200:10500
3:2:5
3/10 * 12100 = 3630
ANSWER IS A
The answer is: A
|
A
|
mathematics
|
Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?
|
[
"1 hour 10 minutes",
"1 hour 82 minutes",
"2 hour 12 minutes",
"1 hour 12 minutes",
"1 hour 62 minutes"
] |
New speed = 6/7 of usual speed
Speed and time are inversely proportional.
Hence new time = 7/6 of usual time
Hence, 7/6 of usual time - usual time = 12 minutes
=> 1/6 of usual time = 12 minutes
=> usual time = 12 x 6 = 72 minutes = 1 hour 12 minutes
Answer :D
The answer is: D
|
D
|
mathematics
|
If a certain sample of data has a mean of 11.0 and the value 20.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
|
[
"14.75",
"3.55",
"4.25",
"4.0",
"2.75"
] |
20.0 is more than 2.5 standard deviations from 11 --> 20 > 11 + 2.5*{SD} --> 2.5*{SD} < 9 --> {SD} < 3.6. Only option B offers the standard deviation less than 3.6.
Answer: B
The answer is: B
|
B
|
mathematics
|
If the President and Vice President must sit next to each other in a row with 4 other members of the Board, how many different seating arrangements are possible?
|
[
"120",
"240",
"300",
"360",
"720"
] |
We need to take President and VP as one unit. Therefore we have 5 people to arrange=5! ways
Also, we both President and VP can be arranged in 2 ! ways.
Reqd no of ways=5!*2!=240 ways
Answer B
The answer is: B
|
B
|
mathematics
|
Out of 9 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
|
[
"1/36",
"10/36",
"20/36",
"11/36",
"2/36"
] |
The number of exhaustive events = 9C2 = 36.
Let E be event of the 2 fruits being rotten. The number of favourable cases are
2C2 = 1 way.
Required probability = 1/36.
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 64 ounces of nuts, representing a mixture of both brands, and 14 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?
|
[
"14",
"20",
"32",
"44",
"48"
] |
lets say x ounces of P is mixed with Q.
=> 64-x ounces of Q is present in the mixture (as the total = 64 ounces)
given total almond weight = 14 ounces
(20x/100)+(25/100)(64-x) = 14
=> x = 40
=> 64-40 = 14 ounces of Q is present in the mixture.
Answer is A.
The answer is: A
|
A
|
mathematics
|
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
|
[
"22 seconds",
"65 seconds",
"78 seconds",
"12 seconds",
"21 seconds"
] |
Speed of the boat downstream
= 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m
= 60/5 = 12 seconds.
Answer:D
The answer is: D
|
D
|
mathematics
|
If 144/x is an integer and 180/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
|
[
"I, II, and III",
"I and II only",
"II and III only",
"III only",
"I only"
] |
The largest possible value of x is 36 (the greatest common factor of 108 and 180), and if x=36 then
D
The answer is: D
|
D
|
mathematics
|
On a certain Monday, Carlos drove to work at an average speed of 20 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?
|
[
"24",
"26",
"27",
"26.66",
"28"
] |
To solve the average speed questions, we need to know the total distance and the total time.
Let us assume that the distance from work = D
This will also be the distance from work to home
Hence total distance travelled = 2D
Time in going to work = D/20,
Time in coming back from work = D/40
Hence average speed of both the trips = 2D/ (D/20 + D/40)
= 2*40/3 = 26.66
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",
"1/8",
"1/9",
"7/8",
"1/5"
] |
Original share of 1 person = 1/8
New share of 1 person = 1/7
Increase =(1/7-1/8) = 1/56
Required fraction = (1/56)/(1/8)
= (1/56)*8
= 1/7
ANSWER:A
The answer is: A
|
A
|
mathematics
|
Of the 75 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
|
[
"10",
"15",
"20",
"25",
"30"
] |
Neither Car nor Garage
= Total - Garage - (Swim - Common)
= 75 - 50 - (40-35) = 75-55 = 20
Answer C
The answer is: C
|
C
|
mathematics
|
A certain ski shop sells pairs of gloves in 13 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?
|
[
"1/144",
"1/143",
"1/25",
"1/23",
"1/12"
] |
there are 13 different colours sothere are 13 pairs of gloves dropped..
first can be any of 26..so 26/26..
second has to be its pair, which will be just one out of remaining 25.. 1/25..
overall prob=26/26*1/25= 1/25..
C
The answer is: C
|
C
|
mathematics
|
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
|
[
"160",
"175",
"180",
"195",
"172"
] |
Explanation:
Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
Therefore, 160 x 2.40 + x x 3.20 = 432
=> 3.20x = 432 - 384 = 48
=> x = 15.
Hence, total hours of work = (160 + 15) = 175.
ANSWER IS B
The answer is: B
|
B
|
mathematics
|
How many possible ways are there to select 2 stocks at random from 7 stocks?
|
[
"17",
"19",
"21",
"23",
"25"
] |
7C2 = 21
The answer is C.
The answer is: C
|
C
|
mathematics
|
P is 6 times greater than Q then by what per cent is Q smaller than P?
|
[
"84%",
"85.5%",
"80%",
"83.33%",
"None"
] |
Solution: Let Q = 10.
Then, P = 60.
Q is 50 less than P.
Q, % less than P = (50 /60)*100 = 83.33%.
Alternative Method
10 (Q)==(6 times greater)==> 60(P)==x%β(Less than Q)==>10 (Q).
Now, x = 50*100/60 = 83.33%.
Answer: Option D
The answer is: D
|
D
|
mathematics
|
A speed of 11 metres per second is the same as :
|
[
"50.4 km/hr",
"55 km/hr",
"60 km/hr",
"68.5 km/hr",
"39.6 km/hr"
] |
Sol.
11 m/sec = [11 * 18/5] km/hr = 39.6 km/hr.
Answer E
The answer is: E
|
E
|
mathematics
|
In a decade, a townβs population increases from 175000 to 262500. What is the average % increase of population each year?
|
[
"9%",
"2%",
"5%",
"7%",
"1%"
] |
Explanation:
Increase in population in 10 years= 262500-175000= 87500
Now, % increase will be increase in (population /original population) * 100
=> 87500/175000*100= 50% increase in population over 10 years
Therefore, Average % increase each year= 50/10= 5%
ANSWER: C
The answer is: C
|
C
|
mathematics
|
Evaluate combination
11C3
|
[
"10000",
"1000",
"165",
"1",
"0"
] |
Explanation:
nCn=1
nCr=n!/r!(n-r)!
11C3=11!/3!(11-3)!=165
Option C
The answer is: C
|
C
|
mathematics
|
A candidate appearing for an examination has to secure 42% marks to pass paper I. But he secured only 42 marks and failed by 22 marks. What is the maximum mark for paper I?
|
[
"110",
"120",
"130",
"152",
"150"
] |
he secured 42 marks nd fail by 22 marks so
total marks for pass the examinatn=64
let toal marks x
x*42/100=64
x=152
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:
|
[
"276",
"299",
"322",
"345",
"355"
] |
Clearly, the numbers are (23 x 13) and (23 x 15).
Larger number = (23 x 15) = 345. Answer: Option D
The answer is: D
|
D
|
mathematics
|
Find the value of 72519 x 9999 = m?
|
[
"345466221",
"345455672",
"353456678",
"725117481",
"789545233"
] |
72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
The answer is: D
|
D
|
mathematics
|
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
|
[
"251",
"253",
"255",
"257",
"260"
] |
Let the middle digit be x.
Then, 2x = 10 or x = 5. So, the number is either 253 or 352.
Since the number increases on reversing the digits, so the hundred's digits is smaller than the unit's digit.
Hence, required number = 253.
Option B
The answer is: B
|
B
|
mathematics
|
There are 97 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position at the beggining, How many lights are switched On by the end of this operation?
|
[
"29",
"49",
"39",
"59",
"69"
] |
Editing my solution:
Number of switches = 97
Number of switches turned on by A: 3, 6, ... 96 = 32
Number of switches turned on by B: 5, 10, ....95 = 19
Few switches are turned on by A and later turned off by B: LCM(3,5) = 15x = 15, 30,....90 = 6.
Subtract the above 6 switches from both A and B as they are turned off.
Number of switches that are turned on = (32 - 6) + (19 - 6) = 39
Answer: C
The answer is: C
|
C
|
mathematics
|
Ajay can ride 50km in 1 hour. In how many hours he can ride 750km?
|
[
"10hrs",
"15hrs",
"20hrs",
"25hrs",
"18hrs"
] |
1 hour he ride 50km
he ride 750km in = 750/50 * 1 = 15hours
Answer is B
The answer is: B
|
B
|
mathematics
|
Find the annual income derived by investing $ 6800 in 20% stock at 136.
|
[
"550",
"1000",
"2500",
"300",
"4000"
] |
By investing $ 136, income obtained = $ 20.
By investing $ 6800, income obtained = $ [(20/136)*6800] = $ 1000.
Answer B.
The answer is: B
|
B
|
mathematics
|
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability u that the World Series will consist of fewer than 7 games?
|
[
"12.5%",
"25%",
"31.25%",
"68.75%",
"75%"
] |
In order to determine the probability u that the World Series will last less than 7 games, we can first determine the probability that the World Series WILL last exactly 7 games and then subtract this value from 1.
In order for the World Series to last exactly 7 games, the first 6 games of the series must results in 3 wins and 3 losses for each team.
Let's analyze one way this could happen for Team 1:
Game 1 Game 2 Game 3 Game 4 Game 5 Game 6
T1 Wins T1 Wins T1 Wins T1 Loses T1 Loses T1 Loses
There are many other ways this could happen for Team 1. Using the permutation formula, there are 6!/(3!)(3!) = 20 ways for Team 1 to win 3 games and lose 3 games in the first 6 games.
Logically, there are also 20 ways for Team 2 to win 3 games and lose 3 games in the first 6 games.
Thus, there are a total of 40 ways for the World Series to last the full 7 games.
The probability that any one of these 40 ways occurs can be calculated from the fact that the probability of a team winning a game equals the probability of a team losing a game = 1/2.
Given that 7 distinct events must happen in any 7 game series, and that each of these events has a probability of 1/2, the probability that any one particular 7 game series occurs is.
Since there are 40 possible different 7 game series, the probability that the World Series will last exactly 7 games is:
Thus the probability that the World Series will last less than 7 games is 100% - 31.25% = 68.75%.
The correct answer is D.
The answer is: D
|
D
|
mathematics
|
9548+7314=8362=?
|
[
"8230",
"8410",
"8500",
"8600",
"None of them"
] |
=(9548+7314)=8362+x
16862=8362+x
x=16862-8362
=8500
Answer is C
The answer is: C
|
C
|
mathematics
|
If A and B get profits of Rs. 6000 and Rs. 4000 respectively at the end of year the ratio of their investments are ?
|
[
"1:4",
"3:2",
"2:3",
"2:5",
"None of these"
] |
profit=Investment * Time
so,
6000=i1 *1=6000
4000=i2 * 1= 4000
i1/i2=6000/4000=3/2
ANSWER:B
The answer is: B
|
B
|
mathematics
|
If .08216 and 68.01 are multiplied to give x as product , how many digit to the right of the decimal point does x have?
|
[
"8",
"7",
"6",
"8",
"9"
] |
Product of .08216 and 68.01 is 5.5877016.
Therefore number of digits to right of decimal point is 7
Answer is B.
The answer is: B
|
B
|
mathematics
|
In how many ways can a cricket eleven be chosen out of a batch of 15 players.
|
[
"1365",
"1500",
"1406",
"1879",
"2000"
] |
Required number of ways
= 15C 11 = 15C (15-11)
= 15 C 4
15C4 = 15 * 14 * 13 * 12 / 4 * 3 * 2 *1
= 1365
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 nd C be 27,then how old is B ?
|
[
"7",
"8",
"9",
"10",
"11"
] |
Solution
Let C's age be x years .Then,B's age =2x years.A's age =(2x +2) years.
β΄ (2x +2) +2x + x =27 β 5x =25 β x =5.
Hence,B's age =2x = 10 years. Answer D
The answer is: D
|
D
|
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