subject
stringclasses 1
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|---|---|---|---|---|
mathematics
|
How many of the integers between 10 and 40 are even ?
|
[
"21",
"20",
"15",
"10",
"9"
] |
Number start between 10 to 40 is 30 numbers
half of them is even..which is 15
ANSWER:C
The answer is: C
|
C
|
mathematics
|
In the xy-coordinate system, if (m, n) and (m + 4, n + k) are two points on the line with the equation x = 2y + 5, then k =
|
[
"1/2",
"1",
"2",
"5/2",
"4"
] |
Since (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5 they should satisfy m=2n +5 and m+4 =2 *(n+k)+5.
By 1st equation we have m-2n=5 and by 2nd equation m-2n = 2k+1 ---> 5=2k+1 --->k=2.
The answer is, therefore, (C).
The answer is: C
|
C
|
mathematics
|
A trail mix company keeps costs down by employing the peanuts:cashews:almonds ratio of 10:4:1 in each bag of up to 75 total nuts. What is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts?
|
[
"40%",
"48%",
"49%",
"50%",
"58%"
] |
Peanuts = 50
Cashews = 20
Almonds = 5
We want to remove as many peanuts as possible while still having peanuts represent MORE than half of the mixture...
The number of cashews and almonds will stay the same though, so we have 20 + 5 = 25 of those non-peanuts in total.
If we had 25 peanuts and 25 non-peanuts, then that would be 50% EXACTLY. We want MORE than 50% though, so we need to add in 1 more peanut. This gives us...
Peanuts = 26
Cashews = 20
Almonds = 5
The question asked for the decrease in the number of peanuts as a percentage. We started with 50 peanuts and removed 24 = 24/50 = 48% ;ANSWER:B
The answer is: B
|
B
|
mathematics
|
Sam deposited $12,000 to open a new savings account that earned eight percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Sam account one year after the account was opened?
|
[
"$13,128",
"$12,763",
"$12,968",
"$12,942",
"$12,865"
] |
Approach #1:
8 percent annual interest compounded semi-annually --> 2.5% in 6 moths.
For the first 6 moths interest was 4% of $12,000, so $480;
For the next 6 moths interest was 4% of $12,000,plus8% earned on previous interest of $480, so $480+$8=$488;
Total interest for one year was $480+$488=$968, hence balance after one year was $12,000+ $968=$12,968.
Answer: C.
The answer is: C
|
C
|
mathematics
|
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
|
[
"10 students",
"20 students",
"30 students",
"40 students",
"50 students"
] |
Let us write the fraction for each group of students
Group A: younger than 10: 50% = 50/100 = 1/2
Group B: 10 years old: 1/20
Group C: older that 10 but younger than 12: 1/10
Group D: 12 years or older: 70 students
The fraction for group A, B and C together is given by
1 / 2 + 1 / 20 + 1 / 10 = 10 / 20 + 1 / 20 + 2 / 20 , common denominator
= 13 / 20 , add numerators
The fraction for group D is given by
20 / 20 - 13 / 20 = 7 / 20 and corresponds to 70 students
If X is the total number of students, then
7 / 20 of X = 70
or (7 / 20) ? X = 70
Solve for X
X = 70 ? (20 / 7) = 200
Students who are 10 years old have a fraction of 1 / 20 of the total X and their number is equal to
(1 / 20) of 200 = 10 students
correct answer A
The answer is: A
|
A
|
mathematics
|
In climbing a round pole of 80 meters height, a monkey climbs 5 meters in a minute and slips 2
meters in the alternate minute. To get to the top of the pole, the monkey would take :
|
[
"51 minutes",
"54 minutes",
"58 minutes",
"61 minutes",
"63 minutes"
] |
a monkey climbs 5 meters in one min & slips 2m in other min.
therefore the monkey reach 3meters in 2min
3m=2min
25*3m=25*2min - >75m=50min
hence the remaining 5m jumps the monkey in 1min to reach original height
so 51 min
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If a rod is sold for Rs.34.80, there is a loss of 25%. Find out the CP of the rod?
|
[
"45",
"46",
"46.4",
"47.23",
"47.34"
] |
SP=34.80Loss=25%CP=100(100−Loss%)×SP=100(100−25)×34.80=10075×34.80=4×34.803=4×11.60=46.40
C
The answer is: C
|
C
|
mathematics
|
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 42 years now, the son's age 4 years back was:
|
[
"12 years.",
"14 years.",
"17 years.",
"16 years.",
"19 years."
] |
Let the son's present age be x years. Then, (42 - x) = x
2x = 42.
x = 21
Son's age 5 years back (21- 4) = 17 years.
ANSWER :C
The answer is: C
|
C
|
mathematics
|
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 16 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 12 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
|
[
"0.22",
"0.31",
"2.50",
"3.21",
"6.85"
] |
Always remember RT=W i.e Rate*Time = Work
Also remember that rate can be added or subtracted. For e.g if A do a work in 2 day and B do a work in 2 day.
They both of them together will do a work in 1 day.
So now your question first determine both outlets rate.
1st outlet rate = 1/16 (R=W/T here W=1 work, T = 16hrs)
2nd outlet rate = 1/12 (R=W/T here W=1 work, T = 12hrs)
Both of them working together rate = 1st outlet rate + 2nd outlet rate = 1/16+1/12 = 7/48
again apply the formula RT=W
T = W/R = 1/7/48 = 48/7 =6.85
Answer is E.
The answer is: E
|
E
|
mathematics
|
The largest one digit number which is a perfect cube, is:
|
[
"7",
"8",
"9",
"1",
"0"
] |
Explanation:
2*2*2 = 8
Answer: B
The answer is: B
|
B
|
mathematics
|
S is a set of 100 consecutive multiples of 8. If the smallest number in S is 108, then the greatest number in S is
|
[
"998",
"297",
"999",
"902",
"900"
] |
last term =first term +(total no. of terms-1)consecutive difference
S is a set of 100 consecutive multiples of 8. If the smallest number in S is 108, then the greatest number in S is
first term = 102 ; total terms =100 ; difference = 3
108+(99)8 = 900
Ans E
The answer is: E
|
E
|
mathematics
|
While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?
|
[
"8 + 15/17",
"8 + 15/18",
"8 + 15/12",
"8 + 15/11",
"8 + 15/110"
] |
Explanation:
Total sales tax paid = 7% of Rs, 400 + 9% of Rs. 6400
== Rs. (28 + 576) = Rs. 604.
Total cost of the items = Rs. (400 + 6400) = Rs. 6800.
Required percentage =% =%.
Answer: A) 8 + 15/17
The answer is: A
|
A
|
mathematics
|
How many seconds will a 600 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
|
[
"48",
"36",
"26",
"11",
"18"
] |
Explanation:
Here distance d = 600 mts
speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s
time t = = 36 sec.
Answer: B
The answer is: B
|
B
|
mathematics
|
Health insurance Plan P requires the insured person to pay $600 but then the insurance pays 70% of the cost over $600. Plan Q requires the insured to pay the initial $400, but then pays 60% of the cost over $400. Which of the following is a cost level for which both insurance plans pay out the same amount?
|
[
"$1200",
"$1400",
"$1600",
"$1800",
"$2000"
] |
0.7(x-600)=0.6(x-400)
0.1x=420-240
x=1800
The answer is D.
The answer is: D
|
D
|
mathematics
|
A bus started its journey from Chennai and reached Mumbai in 50 min with its average speed of 60 km/hr. If the average speed of the bus is increased by 6 km/hr, how much time will it take to cover the same distance?
|
[
"45 min.",
"55 min.",
"65 min.",
"60 min.",
"50 min."
] |
Sol. Distance between Mumbai and Pune=(60*50)/60=50
Average speed of the bus is increased by 6 km/hr then the
speed of the bus = 66 km/hr
Required time = 50*66/60 = 55min.
B
The answer is: B
|
B
|
mathematics
|
There are 12 students in a class. On the day the test was given, Ella was absent. The other 11 students took the test and their average was 74. The next day, Ella took the test, and with this grade included, the new average was 75. What was Ella's grade on the test?
|
[
"82",
"83",
"84",
"85",
"86"
] |
11*74+Ella's grade=12*75
Ella's grade is 12*75-11*74=86.
The answer is E.
The answer is: E
|
E
|
mathematics
|
The ratio of the adjacent angles of a parallelogram is 4 : 11. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
|
[
"132°",
"228°",
"156°",
"224°",
"None of these"
] |
The measures of the adjacent angles of a parallelogram add up to be 180°
Given
So, 4x + 11x = 180°
Or, 15x = 180°
Or, x = 12°
Hence the angles of the parallelogram are 48° and 132°
Further it is given
We know sum of all the four angles of a quadrilateral is 360°
So, 5y + 6y + 7y + 12 y = 360°
Or, 5y + 6y + 7y + 12 y = 360°
Or, 30y = 360°
Or, y = 12°
Hence the angles of the quadrilateral are 60° , 72, 84° and 144°
Will be 48° + 84° = 132°
Answer : A
The answer is: A
|
A
|
mathematics
|
Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was
|
[
"Rs. 292.50",
"Rs. 292.77",
"Rs. 292.21",
"Rs. 292.19",
"Rs. 292.11"
] |
Explanation:
Let the average expenditure be Rs. x Then,
Total money spent = 9x = Rs. (9 x 32.5O) = Rs 292. 50
Answer: A
The answer is: A
|
A
|
mathematics
|
In a group of ducks and cows, the total no.of legs are 24 more than twice the no.of heads. Find the total no.of buffaloes.
|
[
"10",
"12",
"14",
"16",
"19"
] |
Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24
=> 2x = 24 => x = 12
B
The answer is: B
|
B
|
mathematics
|
How much time will take for an amount of Rs. 360 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
|
[
"8 years",
"4 years",
"3 years",
"9 years",
"5 years"
] |
Time = (100 * 81) / (360 * 4.5)
= 5 years
Answer: E
The answer is: E
|
E
|
mathematics
|
Which fraction should be added to:
1/(2 × 3) + 1/(3 × 4) + 1/(4 × 5) + ....... + 1/(23 × 24)
so that the result is equal to 1?
|
[
"7/24",
"11/24",
"13/24",
"17/24",
"19/24"
] |
The given expression
= 1/(2 × 3) + 1/(3 × 4) + 1/(4 × 5) + ...... + 1/(23 × 24)
= (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + .......... + (1/23 - 1/24)
= 1/2 - 1/24 = 11/24
Thus, the fraction we should add = 1 - 11/24 = 13/24
The answer is C.
The answer is: C
|
C
|
mathematics
|
A man can row downstream at 28 kmph and upstream at 16 kmph. Find the speed of stream ?
|
[
"8",
"5",
"4",
"6",
"3"
] |
Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 28 --- (1)
and x - y = 16 --- (2)
From (1) & (2) 2x = 44 => x = 22, y = 6.
Answer:D
The answer is: D
|
D
|
mathematics
|
A crate measures 2 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
|
[
"2",
"4",
"6",
"8",
"12"
] |
We can find the radius of all the three cases of cylinders.
The only crux to find the answer faster is that:
Voulme is pi*r^2*h. The volume is a function of r^2. so r has to be the highest to find the largest volume.
So r=2 for the surface 8*12 face.
Volume = 8pi
Answer A
The answer is: A
|
A
|
mathematics
|
A car traveled from San Diego to San Francisco at an average speed of 45 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
|
[
"30.",
"32.",
"36.",
"42.",
"44."
] |
Let the time taken be = x
One way distance = 45x
Total distance traveled = 2 * 45x = 90x
Total time taken = x + 2x = 3x
Average speed = 90x/3x = 30
Answer: A
The answer is: A
|
A
|
mathematics
|
A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution?
|
[
"2:5",
"3:7",
"3: 5",
"4:7",
"7:3"
] |
Container 1 has 12 ounces in the ratio 1:2
or,
x+2x=12 gives x(alcohol)=4 and remaining water =8
container 2 has 8 ounces in the ratio 1:3
or,
x+3x=8 gives x(alcohol)=2 and remaining water =6
mixing both we have alcohol=4+2 and water =8+6
ratio thus alcohol/water =6/14=3/7
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A dishonest dealer professes to sell his goods at Cost Price but still gets 35% profit by using a false weight. What weight does he substitute for a kilogram?
|
[
"740 1/7 grams",
"740 20/27 grams",
"740 8/3 grams",
"740 1/3 grams",
"740 1/27 grams"
] |
If the cost price is Rs.100, then to get a profit of 35%, the selling price should be Rs.135.
If 135kg are to be sold, and the dealer gives only 100kg, to get a profit of 35%.
How many grams he has to give instead of one kilogram(1000 gm).
135 gm ------ 100 gm
1000 gm ------ ?
(1000 * 100)/135 = 740 20/27 grams.
Answer:B
The answer is: B
|
B
|
mathematics
|
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
|
[
"11 days",
"77 days",
"15 days",
"18 days",
"19 days"
] |
B's 1 day work = (1/12 - 1/20) = 1/30
Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15
So, A and B together will complete the work in 15 days.
Answer:C
The answer is: C
|
C
|
mathematics
|
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
|
[
"66",
"26",
"42",
"27",
"11"
] |
x/7 = y/9 => x:y = 7:9
7/16 * 96 = 42
Answer: C
The answer is: C
|
C
|
mathematics
|
A speaks truth in 75% case and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?
|
[
"40",
"23",
"35",
"60",
"21"
] |
P( A)=75/100, P(B)=80/100
P( A’)=1/4
P(B’)=1/5
P( A and B contradict each other)=P(A).P(B’)+P(A’).P(B)
=35%
ANSWER C
The answer is: C
|
C
|
mathematics
|
If in a certain sequence of consecutive multiples of 100, the median is 750, and the greatest term is 1200, how many terms that are smaller than 650 are there in the sequence?
|
[
"6",
"7",
"8",
"12",
"13"
] |
Since the median is 750 we know there must be a even number of integers
So the list around 750 must go. 700 (750) 800 900 1000 1100 ,1200
Since we know there are 5 numbers greater than 750 then there must be 5 numbers less then 750
C
The answer is: C
|
C
|
mathematics
|
A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 100 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
|
[
"4.2",
"4.8",
"5.6",
"6.4",
"7.2"
] |
In 2 hours, A travels 60 km.
B can catch A at a rate of 10 km/hr, so B catches A 6 hours after B starts.
So A and B both travel a distance of 240 km.
C needs 2.4 hours to travel 240 km, so C leaves 5.6 hours after A.
The answer is C.
The answer is: C
|
C
|
mathematics
|
If a(a - 4) = 12 and b(b -4) = 12, where a ≠ b, then a + b =
|
[
"−48",
"−5",
"4",
"46",
"48"
] |
i.e. if a = 6 then b = -2
or if a = -2 then b = 6
But in each case a+b = -2+6 = 4
Answer: option C
The answer is: C
|
C
|
mathematics
|
David covered a distance of 50 miles on his first trip. On a later trip he travelled 300 miles while going three times as fast. His new time compared with the old time was:
|
[
"twice as much",
"three times as much",
"the same",
"half as much",
"a third as much"
] |
B
Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.
We know that
Speed = Distance/Time.
Or, Time = Distance/Speed.
So, times taken to covered a distance of 50 miles on his first trip = 50/x hr.
And times taken to covered a distance of 300 miles on his later trip = 300/3x hr.
= 100/x hr.
So we can clearly see that his new time compared with the old time was: twice as much.
The answer is: A
|
A
|
mathematics
|
If 8 workers can build 8 cars in 8 days, then how many days would it take 6 workers to build 6 cars?
|
[
"2",
"4",
"6",
"8",
"12"
] |
8 workers can build 1 car per day on average.
1 worker can build 1/8 of a car per day.
6 workers can build 6/8 car per day.
The time required to build 6 cars is 6 / (6/8) = 8 days
The answer is D.
The answer is: D
|
D
|
mathematics
|
If 10 percent of national ice cream sales are for strawberry flavored ice cream, 20 percent are chocolate, and 60 percent vanilla, what fraction of of total ice cream sales are for other flavors?
|
[
"4/5",
"3/5",
"3/10",
"1/5",
"1/10"
] |
100%-(10%+20%+60%)=10% of sales are for other flavors --> 10% = 10/100 = 1/10.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A train crosses a platform of 170 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
|
[
"70",
"88",
"167",
"197",
"161"
] |
Length of the train be ‘X’
X + 170/15 = X + 250/20
20X + 3400 = 15X + 3750
5x=350
X = 70m
Answer: A
The answer is: A
|
A
|
mathematics
|
Bruce purchased 8kg of grapes at the rate of 70 per kg and 8 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
|
[
"A)1040",
"B)1050",
"C)1000",
"D)1065",
"E)1075"
] |
Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 8 kg of mangoes = 55 × 8 = 440.
Total cost he has to pay = 560 + 440 = 1000
C
The answer is: C
|
C
|
mathematics
|
Mrs. Napier has 67 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
|
[
"2-5",
"7-4",
"2-6",
"2-3",
"2-8"
] |
67/9 = 7 R 4 Mrs. Napier will give each student 7 stickers and there
will be 4 left over.
correct answer B
The answer is: B
|
B
|
mathematics
|
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
|
[
"11.4",
"11.3",
"11.8",
"11.5",
"11.1"
] |
1 to 11 = 11 * 10.9 = 119.9
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.4 = 68.4
63 + 68.4 = 131.4 – 119.9 = 11.5
6th number = 11.5
Answer: D
The answer is: D
|
D
|
mathematics
|
If (20)² is subtracted from the square of a number, the answer so obtained is 4321. What is the number?
|
[
"68",
"69",
"70",
"71",
"72"
] |
x^2=4321+400=4721
4761=69*69
x=69
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The captain of a cricket team of 11 members is 27 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
|
[
"21",
"22",
"23",
"24",
"25"
] |
Let the average age of the whole team be x years.
11x - (27 + 30) = 9 (x - 1)
11x - 9x = 48
2x = 48
x = 24.
The average age of the team is 24 years.
The answer is D.
The answer is: D
|
D
|
mathematics
|
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 120 sandwiches were made, how many bologna sandwiches
were made?
|
[
"15",
"30",
"38",
"42",
"48"
] |
For deciding such task we should calculate all parts 5 + 7 + 8 = 20 parts
and we should calculate how many sandwiches holds 1 part:
120 / 20 = 6 sandwiches in one part
For bologna we have 7 parts so:
7 * 6 = 42
Answer is D
The answer is: D
|
D
|
mathematics
|
In a certain Parallelogram the degree measure of one angle exceeds that of the other by 40 what is the degree measure of the smaller angle?
|
[
"70",
"80",
"85",
"90",
"95"
] |
In a parallelogram opposite angles are equal and the angles at each side are supplementary to each other (supplementary angles are two angles that add up to 180°).
Given: x+(x+40)=180 --> x=70.
Answer: A.
The answer is: A
|
A
|
mathematics
|
4, 5, 7, 11, 19, (...)
|
[
"32",
"22",
"35",
"27",
"28"
] |
4
4 × 2 - 3 = 5
5 × 2 - 3 = 7
7 × 2 - 3 = 11
11 × 2 - 3 = 19
19 × 2 - 3 = 35
Answer is C
The answer is: C
|
C
|
mathematics
|
6 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
|
[
"12 days",
"11 days",
"14 days",
"16 days",
"18 days"
] |
6M + 12B ----- 12 days
12M + 12B ------- 10 days
10M + 10B -------?
72M + 144B = 120M +120B
24B = 48M => 2M = B
3B + 12B = 15B ---- 12 days
5B + 10B = 15B -----? => 12 days
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
|
[
"-5",
"4",
"2",
"8",
"6"
] |
9x-3y=12-----eq(1)
3x-5y=7------eq(2)
solving we get x=13/12 and y=-3/4
so, 6x-2y=6*(13/11)-2(-3/4)=8
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The cash difference between the selling prices of an article at a profit of 6% and 8% is Rs 3. The ratio of two selling prices is
|
[
"51:52",
"52:53",
"53:54",
"54:55",
"None of these"
] |
Explanation:
Let the Cost price of article is Rs. x
Required ratio = (106% of x) / (108% of x)
=106/108
=53/54 = 53:54.
Answer: C
The answer is: C
|
C
|
mathematics
|
A trader sells 85 meters of cloth for Rs. 8500 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
|
[
"Rs. 80",
"Rs. 85",
"Rs. 90",
"Rs. 95",
"None of these"
] |
SP of 1m of cloth = 8500/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 100 - Rs. 15 = Rs. 85.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of four rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
|
[
"11 min",
"12 min",
"10 min",
"15 min",
"20 min"
] |
Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.
Relative speed of A and B = 4 - 1 = 3 rounds per hour.
Time taken to complete one round at this speed = 1/3 hr = 20 min.
E
The answer is: E
|
E
|
mathematics
|
A car after travelling 100 km from point A meets with an accident and then proceeds at 3/4 of its original speed and arrives at the point B 90 minutes late. If the car meets the accident 60 km further on, it would have reached 15 minutes sooner. Find the original speed of the train?
|
[
"60km/hr",
"80km/hr",
"100km/hr",
"120km/hr",
"None of these"
] |
Explanation :
let distance between A and B be D km and real speed of the car be S km/hr
First time car takes 90 minutes more and second time car takes 75 minutes more than scheduled time.
So, T1 – T2 = 15/60 = 100
15/60 = [100/s + (D -100)/(3s/4)] – [160/s + (D – 160)/(3s/4)] Solve this D will be cancelled and S comes out to be 80km/hr
Answer –B
The answer is: B
|
B
|
mathematics
|
If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
|
[
"1",
"5",
"6",
"7",
"3"
] |
Speed Ratio = 1:3/4 = 4:3
Time Ratio = 3:4
1 -------- 1/3
3 --------- ? è 1 hour
Answer: A
The answer is: A
|
A
|
mathematics
|
In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students W in the class?
|
[
"A)10",
"B)12",
"C)15",
"D)20",
"E)25"
] |
the difference between the highest and lowest salaries is $100,000.
So there are at least 2 people - say one with salary 0 and the other with 100k. No salary will be outside this range.
Median = 50k more than lowest. So median is right in the center of lowest and highest since lowest and highest differ by 100k. In our example, median = 50k. Since there are more than 2 people, there would probably be a person at 50k.
Mean = 20k more than median so in our example, mean salary = 70k
On the number line,
0........50k (median)........100k
Mean = 70k
So there must be people more toward 100k to bring the mean up to 70k. Since we want to add minimum people, we will add people at 100k to quickly make up the right side deficit. 0 and 50k are (70k + 20k) = 90k away from 70k. 100k is 30k away from 70k. To bring the mean to 70k, we will add two people at 100k each to get:
0....50k.....100k, 100k, 100k
But when we add more people to the right of 70k, the median will shift to the right. We need to keep the median at 50k. So every time we add people to the right of 70k, we need to add people at 50k too to balance the median. 50k is 20k less than 70k while 100k is 30k more than 70k. To keep the mean same, we need to add 2 people at 100k for every 3 people we add at 50k. So if we add 3 people at 50k and 2 people at 100k, we get:
0, ... 50k, 50k, 50k, 50k, ... 100k, 100k, 100k, 100k, 100k
the median is not at 50k yet.
Add another 3 people at 50k and another 2 at 100k to get
0, 50k, 50k, 50k, 50k, 50k, 50k, 50k, 100k, 100k, 100k, 100k, 100k, 100k, 100k
Now the median is 50k and mean is 70k.
Total number of people is 15.
Answer (C)
The answer is: C
|
C
|
mathematics
|
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
|
[
"4 days",
"5 days",
"6 days",
"8 days",
"2 days"
] |
Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
Then, 6x + 8y =1/10 and 26x + 48y =1/2
Solving these two equations, we get : x =1/100 and y =1/200
(15 men + 20 boy)'s 1 day's work =(15/100+20/200) =1/4 .
15 men and 20 boys can do the work in 4 days.
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of m + n?
|
[
"11",
"18",
"20",
"25",
"33"
] |
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 = 25
ANSWER:D
The answer is: D
|
D
|
mathematics
|
How many real solutions does the equation x5 + 2x3 + 8x2 + 16 = 0 have?
|
[
"0",
"1",
"2",
"3",
"5"
] |
Note that x5+2x3+8x2+16 = (x3+8)(x2+2) = (x+2)(x2-2x+4)(x2+2).
Since the quadratic equations x2 - 2x + 4 = 0 and x2 + 2 = 0 have no real solutions, the
original equation has just one real solution, x = -2.
correct answer B
The answer is: B
|
B
|
mathematics
|
A baseball card decreased in value 20% in its first year and 20% in its second year. What was the total percent decrease of the card's value over the two years?
|
[
"28%",
"30%",
"32%",
"36%",
"72%"
] |
consider the initial value of the baseball card as $100
After first year price = 100*0.8 = 80
After second year price = 80 *0.8 = 64
final decrease = [(100 - 64)/100] * 100 = 36%
correct answer - D
The answer is: D
|
D
|
mathematics
|
If the sides of a triangle are 9 cm, 16 cm and 19 cm, what is its area?
|
[
"69",
"72",
"75",
"89",
"93"
] |
The triangle with sides 9 cm, 16 cm and 19 cm is right angled, where the hypotenuse is 19 cm.
Area of the triangle = 1/2 * 9 * 16 = 72 cm2
Answer: Option B
The answer is: B
|
B
|
mathematics
|
A train 390 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
|
[
"30 sec",
"32 sec",
"36 sec",
"38 sec",
"52 sec"
] |
Relative speed = (25+2) km/hr = 27 km/hr
= (27×5/18) m/sec = 15/2 m/sec.
Time taken by the train to pass the man =(390×2/15) sec=52 sec
ANSWER :E
The answer is: E
|
E
|
mathematics
|
Sandy can do a job in 15 days and Molly can do the same job in 30 days. If they work together, in how many days will they complete the job?
|
[
"8",
"9",
"10",
"11",
"12"
] |
Sandy can do 1/15 of the job each day.
Molly can do 1/30 of the job each day.
The combined rate is 1/15 + 1/30 = 1/10 of the job each day.
The job will take 10 days.
The answer is C.
The answer is: C
|
C
|
mathematics
|
How many different section of 4 books can be made from 10 different books if two particular books are never selected?
|
[
"90",
"50",
"60",
"80",
"70"
] |
This means four books are seclected out of the remaining 8 books. Required number of ways = 8C4= 8!/4!x4!=70. Ans: E.
The answer is: E
|
E
|
mathematics
|
The diagonals of a rhombus are 16 cm and 20 cm. Find its area?
|
[
"160",
"288",
"150",
"238",
"31"
] |
1/2 * 16 * 20 = 160
Answer: A
The answer is: A
|
A
|
mathematics
|
A train covers a distance of 12 km in 10 min. If it takes 16 sec to pass a telegraph post, then the length of the train is?
|
[
"320 m",
"188 m",
"120 m",
"178 m",
"189 m"
] |
Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length of the train = 20 * 16
= 320 m.
Answer:A
The answer is: A
|
A
|
mathematics
|
The banker's discount on Rs.1250 due a certain time hence is Rs.125. Find the true discount and the banker's gain.
|
[
"11",
"15",
"18",
"21",
"None"
] |
Solution
Sum =B.D x T.D/ B.D - T.D
= B.D x T.D/ B.G
T.D / B. G =Sum / B.D
= 1250 / 125
= 10 / 1
If B.D is Rs. 11,T.D= Rs.10.
If B.D is Rs.125,
T.D = Rs.(10 / 11 x 125)
= Rs.114.
And, B.G = Rs(125 - 114)
= Rs.11.
Answer A
The answer is: A
|
A
|
mathematics
|
If a 5-digit numerical with local value of digits 3 is 300, 4 is 40000, 5 is 50, 6 is 6 and 7 is 7000, is multiplied by 7 then the difference between local value of 4 in the new numerical and the face value of 3 is
|
[
"397",
"2997",
"49997",
"697",
"497"
] |
According to the given local values of the 5-digit number the number is 47356
Multiplying it with 7,
47356 x 7 = 331492
(Local value of 4 in 331492) - (Face value of 3) = 400 - 3 = 397
A
The answer is: A
|
A
|
mathematics
|
In a division sum, the quotient is 36, the divisor 85 and the remainder 26, find the dividend?
|
[
"3066",
"3586",
"3086",
"3968",
"3286"
] |
Explanation:
36 * 85 + 26 = 3086
Answer : C
The answer is: C
|
C
|
mathematics
|
3889 + 16.952 - ? = 3854.002
|
[
"51.95",
"49.75",
"45.97",
"47.59",
"45.79"
] |
Let 3889 + 16.952 - x = 3854.002.
Then x = (3889 + 16.952) - 3854.002
= 3905.952 - 3854.002
= 51.95.
Answer is A
The answer is: A
|
A
|
mathematics
|
There are 9 books on a shelf that consist of 4 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
|
[
"88",
"99",
"110",
"121",
"132"
] |
The total number of ways to select 4 books is 9C4 = 126
The number of ways which do not include any paperbacks is 5C4 = 5
The number of combinations with at least one paperback is 126-5 = 121
The answer is D.
The answer is: D
|
D
|
mathematics
|
In the equation s = 36.12t, t and s are integers. If s/t leaves a remainder of r, which of the following must divide into r?
|
[
"2",
"3",
"4",
"6",
"12"
] |
1) It says it is a equation, so s=36.12t should be 36.12 * t..
2) It says t is an integer, again it means 36.12 * t..
Otherwise t would be just a digit and it would be mentioned..
Although not clearly mentioned that 36.12t is actually 36.12 * t, BUT entire info points towards that..
and that is why I have taken s/t = 36.12
The answer is: B
|
B
|
mathematics
|
21 friends went to a hotel and decided to pay the bill amount equally. But 20 of them could pay Rs. 30 each as a result 21st has to pay Rs. 200 extra than his share. Find the amount paid by him.
|
[
"120",
"250",
"110",
"220",
"None"
] |
Explanation:
Average amount paid by 20 persons = Rs. 30
Increase in average due to Rs. 200 paid extra by the 21st men = Rs. 200/20= Rs. 10
Therefore, Average expenditure of 21 friends = Rs. 30 + Rs. 10 = Rs. 40
Therefore, Amount paid by the 21st men = Rs. 40 + Rs. 200 = Rs. 240
Correct Option: E
The answer is: E
|
E
|
mathematics
|
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 120 marks, How many questions does he answer correctly?
|
[
"20",
"10",
"30",
"50",
"40"
] |
Let the number of correct answers be x
Then, number of wrong answers = (80 - x)
4x – (80 - x) = 120
=> 4x – 80 + x = 120
=> 5x = 200
=> x = 200/5 = 40
i.e., he does 40 questions correctly
Answer is E.
The answer is: E
|
E
|
mathematics
|
In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
|
[
"330000",
"340000",
"347000",
"356000",
"357000"
] |
Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 75 %
Therefore, the number of valid votes polled in favour of candidate A = 75 % of 476000
= 75/100 × 476000
= 35700000/100
= 357000
E)
The answer is: E
|
E
|
mathematics
|
At a certain supplier, a machine of type A costs $30,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
|
[
"$6,600",
"$11,200",
"$12,000",
"$12,800",
"$13,200"
] |
Total Cost of 2 Machines of Type A
= 20% of (Cost of 2 machine A) + remainder + 40 % remainder
= 20% of 30000 + (30000 - 20% of 30000) + 40% of (30000 - 20% of 30000)
= 79200
Total Cost of 1 Machine of Type B
= 20% of (Cost of 1 machine B) + remainder + 40 % remainder
= 20% of 65000 + (65000 - 20% of 65000) + 40% of (65000 - 20% of 65000)
= 85800
Diff = 85800 - 79200 = 6600
Hence, A.
The answer is: A
|
A
|
mathematics
|
James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
|
[
"40 minutes.",
"1 hour and 30 minutes.",
"1 hour",
"1 hour and 40 minutes.",
"2 hours and 15 minutes"
] |
Rate =Output/Time
James Rate=25/20=5/4
Dylan Rate=25/60=5/12
Combined rate = 5/4+5/12= 20/12
Combined Rate*Combined Time= Combined Output
20/12*t=150
t=90 mins => 1 hr 30 min
ANSWER:B
The answer is: B
|
B
|
mathematics
|
For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 7 of whom are females, by how much does the index for the females exceed the index for the males in the group?
|
[
"0.05",
"0.0625",
"0.2",
"0.3",
"0.6"
] |
Index for females = (20-7)/20 = 13/20 = 0.65
Index for males = (20-13/20 = 7/20 = 0.35
Index for females exceeds males by 0.65 - 0.35 = 0.3
Answer: D
The answer is: D
|
D
|
mathematics
|
A waitress's income consists of her salary and tips.During one week ,her tips were 11/4 of her salary.What fraction of her income for the week came from tips?
|
[
"1/9",
"1/6",
"1/3",
"4/9",
"11/15"
] |
Her tips were 11/4 of her salary.
Let's say her salary =$4
This mean her tips = (11/4)($4) =$11
So, her TOTAL INCOME =$4+$11=$15
What fraction of her income for the week came from tips
$11/$15 =11/15
= E
The answer is: E
|
E
|
mathematics
|
On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the divisor.
|
[
"170",
"179",
"37",
"67",
"32"
] |
Divisor = (Dividend – Remainder/Quotient)
=(15968-37)/89 =179
ANSWER B 179
The answer is: B
|
B
|
mathematics
|
If x*y = xy – 2(x + y) for all integers x and y, then 1* (–3) =
|
[
"–16",
"–11",
"–4",
"4",
"1"
] |
1*(-3) = 1*(-3) - 2 (1 + (-3) ) = -3 +4 = 1
Option (E)
The answer is: E
|
E
|
mathematics
|
In the infinite sequence 10, 15, 20, 25, 30, . . . , where each term is 5 greater than the previous term, the 32th term is
|
[
"183",
"178",
"165",
"139",
"179"
] |
T(n) = a + (n-1) d
Here d =5, a=10, n=32
Solving we get T(n) = 165.
Answer: C
The answer is: C
|
C
|
mathematics
|
Max invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded quarterly, then the amount received by Max at the end of the year will be?
|
[
"16557.1",
"16557.19",
"16557.25",
"16557.3",
"16557.38"
] |
P = Rs. 15000; R = 10% p.a. = 2.5% per quarter; T = 1 year = 4 quarters
Amount = [15000 * (1 + 2.5/100)4]
= (15000 * (1.025)4) = Rs. 16557.19
Answer: B
The answer is: B
|
B
|
mathematics
|
If xy+4z = x(y+z), which of the following must be true?
|
[
"1. x=0 and z=0",
"2. x=1 and y=1",
"3. y=1 and z=0",
"4. x=1 or y=0",
"5. x=4 or z=0"
] |
xy+4z=x(y+z)
xy+4z=xy+xz
4z=xz
it means x=4 or z=0
Answer E
The answer is: E
|
E
|
mathematics
|
40 is subtracted from 60% of a number, the result is 50. Find the number?
|
[
"150",
"189",
"177",
"167",
"190"
] |
(60/100) * X – 40 = 50
6X = 900
X = 150
Answer: A
The answer is: A
|
A
|
mathematics
|
In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and three different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
|
[
"719/720",
"1/120",
"2/233",
"1/6",
"1/720"
] |
6 ties and 6 shirts...
red tie can take any of 6 shirts..
orange can take any of the remaining 5 shirts
yellow any of remaining 4..
and so on till last indigo chooses the 1 remaining..
Total ways= 3*2*1= 6
out of this 6, ONLY 1 way will have same colour tie and shirt..
prob = 1/6
D
The answer is: D
|
D
|
mathematics
|
How many possible integer values are there for x if |7x - 3| < 6 ?
|
[
"One",
"Two",
"Three",
"Four",
"Five"
] |
Solution: |7x-3| < 6
let 7x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left
(the less than sign represents that the a must be within boundaries )
(3-6)----------3----------(3+6)
now, we have -3<a<9
but a =7x ==> -3<7x<9
dividing all values by +4 we have -0.46 <x < 1,2
Now question says Integer values (not rational ) therefore we have 0,1
Hence 2 B
The answer is: B
|
B
|
mathematics
|
if you invested $25000 and received $35251 after 10 years. what was the interest rate?
|
[
"0.15%",
"0.25%",
"0.04%",
"0.50%",
"0.40%"
] |
P=25000
I= 35251-25000=10251
t=10 years
10251=(25000)(r)(10)
10251=250000r
10251/250000
=.04
ANSWER:0.40%
The answer is: E
|
E
|
mathematics
|
Arrange the given words in the sequence in which they occur in the dictionary and choose the correct sequence.
|
[
"3, 5, 2, 1, 4",
"3, 5, 2, 1, 8",
"3, 5, 2, 1, 2",
"3, 5, 2, 1, 5",
"3, 5, 2, 5, 5"
] |
Explanation:
The correct alphabetical order is
Each, Eager, Earlier, Economic, Edition
ANSWER: A
The answer is: A
|
A
|
mathematics
|
Find the least number of complete years in which a sum of money put out at 13% compound interest will be more than double of itself?
|
[
"5",
"6",
"7",
"8",
"9"
] |
6 years
Answer: B
The answer is: B
|
B
|
mathematics
|
Two cars, Car1 and Car2 move towards each other from R and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach R starting from Y?
|
[
"15.5 sec",
"8.4 sec",
"33.6 sec",
"31.11 sec",
"16.8 sec"
] |
R--------------------------------------|----------------------------Y
Car A(20mps)------------------------->P<---------------Car B(15mps)
Let 2 cars meet each other at point P in t seconds.
Car1 covers distance= 20t. Car2 covers distance=15t. So, total distance RY= 35t.
From P, Car 1 reaches onto Y in 10 secs. So it covers 15t further.
so, 15t/20 = 10
So t=40/3 sec and total distance = (35*40)/3
Hence Car2 will cover total distance in (35*40)/(3*15) = 31.11 sec approx.
Answer D
The answer is: D
|
D
|
mathematics
|
How much water should be added to 15 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
|
[
"25 liters",
"27 liters",
"30 liters",
"32 liters",
"35 liters"
] |
Let x ltr water to be added
2ltr alcohol to be represented as (20(1-3/4(new soln.=15+x)))
2=5%*(15+x)-------->x=25
Ans A
The answer is: A
|
A
|
mathematics
|
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
|
[
"227",
"277",
"266",
"150",
"881"
] |
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer: D
The answer is: D
|
D
|
mathematics
|
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
|
[
"5",
"2",
"9",
"5",
"1"
] |
1250
= D(100/4)2
D = 2
Answer: B
The answer is: B
|
B
|
mathematics
|
Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 59.4. The difference between the unit digit and hundreds digit of that number is :
|
[
"a) 6",
"b) 3",
"c) 2",
"d) 1",
"e) 0"
] |
Since the average increased by 59.4 and there were a total of 10 numbers, it means the incorrect number was 594 greater than the correct number.
Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)
Then the incorrect number was cba.
100c + 10b + a - (100a + 10b + c) = 594
99c - 99a = 99(c - a) = 594
594 = 99*6 = 99(c - a)
So c - a = 6
Answer (A)
The answer is: A
|
A
|
mathematics
|
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
|
[
"33 m3",
"77 m3",
"60 m3",
"27 m3",
"29 m3"
] |
lb = 20 ; lh = 15 ; fh = 12
(lbh)2 = 20 * 15 * 12 => lbh = 60 m3
Answer:C
The answer is: C
|
C
|
mathematics
|
The perimeter of a semi circle is 122 cm then the radius is?
|
[
"17",
"28",
"24",
"11",
"12"
] |
36/7 r = 122 => r
= 24
Answer: C
The answer is: C
|
C
|
mathematics
|
If c= (a-1)(a+2), then what is the least possible value of c?
|
[
"1/2",
"2",
"-9/4",
"1",
"-2"
] |
Answer : C
The answer is: C
|
C
|
mathematics
|
A certain quantity of 45% concentration solution is replaced with 15% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?
|
[
"1:3",
"1:2",
"2:3",
"2:1",
"3:1"
] |
15% - - - - - - - - - 35% - - - - - - 45%
From 15 to 35 =20
From 35 to 45 = 10
So the ratio is 20/10 = 2 to 1
B it is
The answer is: B
|
B
|
mathematics
|
A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 18 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
|
[
"65.0",
"67.5",
"70.0",
"72.5",
"75.0"
] |
Let x be the distance from his house to the school.
x/10 = x/18 + 3
9x = 5x + 270
4x = 270
x = 67.5 km
The answer is B.
The answer is: B
|
B
|
mathematics
|
16384, 8192, 2048, 256, 16, ?
|
[
"0.3",
"9.0",
"0.5",
"1.0",
"2.0"
] |
16384
16384 ÷ 2 = 8192
8192 ÷ 4 = 2048
2048 ÷ 8 = 256
256 ÷ 16 = 16
16 ÷ 32 = 0.5
Answer is C
The answer is: C
|
C
|
mathematics
|
In a simultaneous throw of 2 dice, what is the probability of not getting a doublet?
|
[
"2/3",
"1/6",
"4/7",
"5/6",
"4/9"
] |
n(S) = 6*6 = 36
E = event of not getting a doublet = 36- event of getting a doublet= 36-6 =30
{(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}
Probability = 30/36 = 5/6
Answer is D
The answer is: D
|
D
|
mathematics
|
There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
|
[
"1/13",
"4/13",
"3/13",
"5/13",
"6/13"
] |
If 1 green and 1 blue ball are taken from the box, then there are 7 green, 3 blue and 3 white balls, a total of 13 balls. If one ball is selected at random, the probability that it is blue is given by 3 / 13
correct answer C
The answer is: C
|
C
|
mathematics
|
Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8310/-. Find out the amount that he borrowed.
|
[
"s. 5266",
"s. 5396",
"s. 5228",
"s. 5218",
"s. 52192"
] |
Explanation:
Let us assume Mr. Karan borrowed amount is Rs. A. (the principal)
By formula of simple interest, S.I. = PRT / 100
Where P = The principal, R = Rate of interest as a %, T = Time in years
S.I. = (P * 6 * 9)/100 = 54 P/100
Amount = Principal + S.I.
8310 = P + (54P/100)
8310 = (100P + 54P)/100
8310 = 154P/100
P = (8310 * 100)/154 = Rs. 5396.104
ANSWER: B
The answer is: B
|
B
|
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