subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | 5,9,18,31,52,__ | [
"79",
"80",
"86",
"82",
"83"
] | (9+5) +4 = 18
(16+9) +6 = 31
(28+16)+8 = 52
(48+28)+10 = 86
ANSWER:C
The answer is: C | C |
mathematics | There are 12 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station? | [
"132",
"145",
"165`",
"400",
"300"
] | The total number of stations= 12
From 12 Stations we have to choose any two stations and the direction of travel (Ernakulam to Chennai is different from Chennai to Ernakulam) in 12P2 ways.
12P2= 12*11= 870
ANSWER:A
The answer is: A | A |
mathematics | A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green? | [
"23/35",
"23/356",
"23/36",
"23/32",
"23/31"
] | Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green
= (⁶C₁ * ⁹C₁)/¹⁵C₂ + ⁶C₂/¹⁵C₂
= (6 * 9 * 2)/(15 * 14) + (6 * 5... | A |
mathematics | A grocer stacked oranges in a pile. The bottom layer was rectangular with 5 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of o... | [
"2",
"4",
"6",
"7",
"9"
] | Bottom Layer = 5 x 5 = 25
IInd Layer = (5-1) x (5-1) = 16
IIIrd Layer = (4-1) x (4-1) = 9
Answer = 9 = E
The answer is: E | E |
mathematics | there is a equilateral triangle whose area is A.another triangle is formed by joining the mid points.this process is continued.find the sum of these areas. | [
"A/3",
"2A/3",
"A",
"4A/3",
"5A/3"
] | Area of equilateral triangle =(root(3)/4)*a^2=A(given)
side of triangle=a
now side is a/2
then total area A+A/4 +A/16-------
A/1-(1/4)=A*4/3 is total area
ANSWER:D
The answer is: D | D |
mathematics | The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 4: 00 p.m., at what time were there 32 million bacteria in the dish? | [
"6: 00 p.m.",
"8: 00 p.m.",
"10: 00 a.m.",
"8: 00 a.m.",
"11: 00 a.m."
] | Given:
he number of bacteria in a petri dish increased by 50 percent every 2 hours
There were 108 million bacteria in the dish at 4: 00 p.m
Since the bacteria is increasing by 50% every 2 hours, this means that the number is multiplied by 1.5 every 2 hours.
Required: At what time were there 32 million bacteria in the d... | C |
mathematics | If 100% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 125% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ? | [
"0.35",
"3.5",
"350",
"35",
"3500"
] | IMO answer should be 350...
consider j=10, then k=50, l=150 and m=350....
20% of 350, comes out to be 70....
200% of 10 is 20....
(70*100)/20=350....
Ans : C
The answer is: C | C |
mathematics | Ben
ips a fair coin repeatedly. Given that Ben's first coin
ip is heads, compute the probability
Ben
ips two heads in a row before Ben
ips two tails in a row. | [
"2/3",
"3/3",
"1/3",
"1/1",
"2/2"
] | If Ben successfully
ips two heads in a row, then Ben must have
ipped the coin an
even number of times. If Ben successfully
ips two tails in a row, then he must have
ipped
the coin an odd number of times. However, the coin must have been
ipped at least twice. The
desired probability is therefore
(1/3)/(1/2)=2/3
correct ... | A |
mathematics | A person travelled from his house to office at 20km/hr and office to house at 80km/hr. Then find the average speed? | [
"32km/hr",
"40km/hr",
"48km/hr",
"50km/hr",
"62km/hr"
] | Average speed = (2*20*80)/(20+80)
= 32km/hr
Answer is A
The answer is: A | A |
mathematics | Calculate the distance covered by 150 revolutions of a wheel of radius 20.5 cm. | [
"293.3 m",
"197.3 m",
"193.3 m",
"143.3 m",
"198.3 m"
] | In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 150 * 2 * 22/7 * 20.5 = 19328.57 cm = 193.3 m
ANSWER:C
The answer is: C | C |
mathematics | If a and b are consecutive integers (b>a), which of the following statements could be false? 1. a^3+b is always even number. 2. ab is even number 3. (a + b) is always an odd number. | [
"II only",
"III only",
"I only",
"I,II only",
"II,III only"
] | 2^3+3 =8+3 = 11 Option I false
odd*even = even. Option II is true
odd + even = odd. Option III is true
Answer : C
The answer is: C | C |
mathematics | A dog travelled for 2 hours. He covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. Find the distance travelled by the dog? | [
"20 km",
"16 km",
"6 km",
"3 km",
"61 km"
] | Let the distance travelled be x km.
Total time = (x/2)/10 + (x/2)/5 = 2 => x/20 + x/10
= 2 => (1x + 2x)/20 = 2 => x
= 20 km
Answer: A
The answer is: A | A |
mathematics | For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2.
What is the sum of all the even integers between 99 and 201? | [
"6540",
"7650",
"8760",
"9870",
"10,980"
] | 100 + 102 +...+ 200 = 51*100 + (2+4...+100) = 51*100 + 2(1+2+...+50) =
51*100 + 2(50)(51)/2 = 150*51 = 7650
The answer is B.
The answer is: B | B |
mathematics | Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him? | [
"2000",
"2300",
"3000",
"3200",
"3400"
] | Let the money he took for shopping be m.
Money he spent = 30 % of m
= 30/100 × m
= 3/10 m
Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10
But money left with him = $ 2100
Therefore 7m/10 = $ 2100
m = $ 2100× 10/7
m = $ 21000/7
m = $ 3000
Therefore, the money he took for shopping is $ 3000.
C
The answer is: C | C |
mathematics | Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 11 years older than Larry, how old is Annie? | [
"4",
"8",
"19",
"26",
"34"
] | J = L+11
(1) 2(A+3) = L+3
(2) 3(A+5) = J+5 = L+16
Let's subtract equation (1) from equation (2)
A+9 = 13
A = 4
The answer is A.
The answer is: A | A |
mathematics | The captain of a cricket team of 11 members is 26 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? | [
"23 years",
"24 years",
"25 years",
"None of these",
"Cannot be determined"
] | Explanation: Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1)
11x - 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years.
Answer: Option A
The answer is: A | A |
mathematics | A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 360 m long platform? | [
"37 min",
"55 min",
"48 min",
"67 min",
"45 min"
] | C
48 min
Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +360)/ 36 * 5/18 = 48 min.
The answer is: C | C |
mathematics | The Tens digit of a two digit number is 4 times of its unit digit and the sum of the digits be 10. Then the first number is | [
"67",
"73",
"53",
"82",
"89"
] | Let the number be 10x + y
According to the question
x = 4y
x + y = 10
4y + y = 10
or y = 2
and x = 8
So required number is = 10*8 + 2 = 82
answer :D
The answer is: D | D |
mathematics | A man counted his animals, 80 heads and 240 legs (ducks and goats). how many goats are there? | [
"30",
"40",
"50",
"60",
"70"
] | let no of ducks=d and no of goat=g
d+g=80(heads)----------> eq 1
each duck has 2 legs and goat has 4 legs
2d+4g=240 and divide 2d+4g=240 by 2 we get d+2g=120 -----------> eq2
subtract eq1 from eq2
we get no of goats=40
ANSWER:B
The answer is: B | B |
mathematics | A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth? | [
"Rs. 45",
"Rs. 40",
"Rs. 35",
"Rs. 50",
"None of these"
] | SP per metre = 18000/400 = Rs. 45 Loss per metre = Rs. 5 CP per metre = 45 + 5 = Rs. 50
ANSWER:D
The answer is: D | D |
mathematics | A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr.The man’s speed against the current is : | [
"8.5 km/hr",
"9 km/hr",
"10 km/hr",
"12.5 km/hr",
"None of these"
] | Solution
Man’s rate in still water =(15-2.5) km/hr = 12.5 km/hr.
Man’s rate against the current = (12.5-2.5)km/hr = 10 km/hr. Answer C
The answer is: C | C |
mathematics | Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion. In 6 years from now, Lyn the circus Lion will be exactly half as old as Ele, the circus Elephant. How old is Ele today? | [
"17",
"16",
"14",
"13",
"18"
] | Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion.
Ele = 3*Lyn
Usually, ages are integers so there is a good possibility that the age of Ele is 18 (the only option that is a multiple of 3).
Then age of Lyn would be 6. In 6 yrs, Ele would be 24 and Lyn would be 12 - so Lyn would be half ... | E |
mathematics | In a camp, food was was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came? | [
"1900",
"1800",
"1940",
"2000",
"None of these"
] | Explanation :
Given that food was sufficient for 2000 people for 54 days
Hence, after 15 days, the remaining food was sufficient for 2000 people for 39 days (∵ 54 - 15 = 39)
Let x number of people came after 15 days.
Then, total number of people after 15 days = (2000 + x)
Then, the remaining food was sufficient for (20... | A |
mathematics | Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 4w widgets? | [
"4",
"6",
"8",
"24",
"12"
] | Let Y produce w widgets in y Days
Hence, in 1 day Y will produce w/y widgets.
Also, X will produce w widgets in y+2 days (given, X takes two more days)
Hence, in 1 day X will produce w/y+2 widgets.
Hence together X and Y in 1 day will produce {w/y + w/y+2} widgets.
Together X and Y in 3 days will produce = 3 * [{w/y + ... | D |
mathematics | A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is | [
"100m",
"120m",
"140m",
"160m",
"170cm"
] | Explanation:
Speed =12/10x 60 km/hr = 72 x5/18m/sec = 20 m/sec.
Length of the train = (Speed x Time) = (20 x 6) m = 120 m
Answer: Option B
The answer is: B | B |
mathematics | If pq represents a positive two digit number, where p and q are single digit integers, which of the following cannot be true? | [
"p+q =9",
"(p)(q)=9",
"p-q = 9",
"q-p= 9",
"p/q = 9"
] | (A) pq = 45 or 63 or 27
(B) pq = 33 or 19
(C) 90
(D) impossible
(E) pq = 91
(D) is impossible because 09 is not a valid two digit number --- if there's a zero in the ten's place, that's just 9, a single digit number. Therefore, no valid two digit number would satisfy (D).
ans D
The answer is: D | D |
mathematics | Statement: The authorities in Society X are cracking down on street hawkers, blaming them for traffic jams near their society.
Actions:
I. Street hawkers should not be allowed during peak hours
II. Street hawkers should be warned and asked not to create chaos. | [
"Only I follows",
"Only II follows",
"Either I or II follows",
"Neither I nor II follows",
"Both I and II follow"
] | Explanation: Here a situation of traffic jam is depicted and the actions mentioned, give different ways for improving the situation.
ANSWER IS B
The answer is: B | B |
mathematics | Rose's grade was 70th percentile of the 60 grades for her class. Of the 40 grades from another class, 16 were higher than Rose's, and the rest were lower. If no other grade was the same as Rose's grade, then Rose's grade was what percentile of the grades of the two classes of two classes combined? | [
"66th",
"70th",
"74th",
"82nd",
"85th"
] | 66th/70th/74th/82nd/85th
Correct option: A
The answer is: A | A |
mathematics | Of the students at a certain high school, 90 percent took a course in algebra or geometry and 30 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry... | [
"50%",
"40%",
"45%",
"35%",
"30%"
] | You can also just use the formula
n(A or B) = n(A) + n(B) - n(A and B)
90 = 2X + X - 30
X = 40
2X = 80
This is the number of people who took algebra including those who took both. To get the number of people who took only algebra, 80 - 30 = 50%
Answer (A)
The answer is: A | A |
mathematics | Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent? | [
"11 1/8%",
"11 1/5%",
"11 1/9%",
"11 12%",
"11 5/9%"
] | 900 --- 100
100 --- ? => 11 1/9%
Answer: C
The answer is: C | C |
mathematics | Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share? | [
"Rs.589",
"Rs.518",
"Rs.519",
"Rs.540",
"Rs.528"
] | A+B+C = 1170
4A = 3B = 2C = x
A:B:C = 1/4:1/3:1/2 = 3:4:6
6/13 * 1170 = Rs.540
Answer: D
The answer is: D | D |
mathematics | Today is Monday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come? | [
"SUNDAY",
"MONDAY",
"TUESDAY",
"WEDNESDAY",
"FRIDAY"
] | Today is Monday
after three days--->Thursday
now, (thursday)after before day--->Wednesday
then, (Wednesday)day after tomorrow--->Friday
ANSWER:E
The answer is: E | E |
mathematics | 63 + 5 * 12 / (180/3) = ? | [
"22",
"77",
"29",
"64",
"21"
] | 63 + 5 * 12 / (180/3) = 63 + 5 * 12 / (60)
= 63 + (5 * 12)/60 = 63 + 1 = 64.Answer:D
The answer is: D | D |
mathematics | A bad habit milkman to sell his milk at cost price but he mixes it with water and thereby gains 25%. Find the percentage of mixture water ? | [
"20",
"30",
"35",
"40",
"45"
] | cp of 1 lr = 1 rs
mix = (100/125*1) = 4/5
ratio of milk to water = 4/5:1/5 = 4:1
=>percentage of mix = (1/5*100) = 20
ANSWER A
The answer is: A | A |
mathematics | There are six different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models? | [
"72",
"48",
"64",
"24",
"8"
] | Let's say that Models of Europe are represented by E1 and E2 respectively
Let's say that Models of South America are represented by S1 and S2
Let's say that Models of North America are represented by Na and N2
So we have to define the total ways of entries of E1 E2 S1 S2 N1 N2
We have to keep E1 E2 together and similar... | B |
mathematics | What is the lowest positive integer that is divisible by each of the integers 1 through 10 inclusive? | [
"420",
"840",
"1260",
"2520",
"5020"
] | We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, and 2*5.
The LCM is 1*2^3*3^2*5*7= 2520
The answer is D.
The answer is: D | D |
mathematics | From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is? | [
"1/26",
"1/25",
"1/87",
"1/17",
"1/12"
] | Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13 = 1/26
Answer:A
The answer is: A | A |
mathematics | A scientist has a set of weights {1Kg, 2Kg, 4Kg, 8Kg, 16Kg, 32Kg}. This set is good enough to weight any object having an integral weight between 1Kg and 63Kg (Eg. 19 Kg = 16Kg + 2Kg + 1Kg). If the 4 Kg weight is lost, how many weights between 1Kg & 63Kg can no longer be measured ? | [
"16",
"32",
"48",
"64",
"80"
] | Total # of ways to distribute SSEGT among 5 sisters (without restriction) is 5!2!=605!2!=60;
The # of ways when the youngest niece gets G is: 4!2!=124!2!=12 (give G to youngest and then distribute SSET among 4 sisters).
So, # of ways when youngest niece doesn't get G is: 60−12=4860−12=48.
Answer: 48.
ANSWER:C
The answe... | C |
mathematics | Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit? | [
"66.3",
"76.3",
"86.3",
"16.3",
"36.3"
] | Explanation:
C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.
S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
Answer: D
The answer is: D | D |
mathematics | If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be: | [
"2",
"4",
"6",
"3",
"8"
] | D
3
Given number = 97215x6
(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.
x = 3
The answer is: D | D |
mathematics | In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is | [
"3 hr.",
"5 hr.",
"2 hr.",
"7 hr.",
"1 hr."
] | E
1 hr.
Let the duration of the flight be x hours.
Then, 600/x - 600/0.5x = 200
--> 600/x - 1200/(2x+1) = 200
--> x(2x + 1) = 3
--> 2x^2 + x - 3 = 0
--> (2x + 3)(x - 1) = 0
--> x = 1 hr.
The answer is: E | E |
mathematics | By using the numbers 1, 3, 4, 6 and 9 only once, how many five digit numbers can be made that are divisible by 8? | [
"3",
"12",
"6",
"18",
"42"
] | A number to be divisible by 8 must end with 08, 16, 24,32 ,40 or 72.
So, there are the following cases possible:
349-16 --> the first three digits can be arranged in 3=6 ways.
Total = 6 = 6.
Answer: C.
The answer is: C | C |
mathematics | If a ring of diameter 4 inches moves at the rate of x inches/min and another ring of diameter 12 inches moves at the rate of y inches/min, and if they both cover a distance at the same time then find the value of x in terms of y? | [
"6y/2",
"3y/4",
"5y/2",
"2y/4",
"1y/3"
] | t=S1/V1=S2/V2
or 4/x=12/y
or x=4y/12=1y/3
Answer is E
The answer is: E | E |
mathematics | In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/4.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar? | [
"5.",
"7.",
"9.",
"10.",
"17."
] | We need to get some number which is less than 50 and exactly divisible by 4,5 and 10
Lets take LCM of three balls 4,5 and 10 =20.
The probability of drawing a blue ball is 1/4...For every 8 balls we get 1 BLUE ball then out of 20 balls we get 5 BLUE balls.
The probability of drawing a red ball is 1/5...For every 5 ball... | C |
mathematics | x^2 + dx + 72 = 0 has two distinct integer roots; how many values are possible for d? | [
"3",
"6",
"8",
"12",
"24"
] | For a quadratic equation ax^2+dx+c=0, we know that -d/a is sum of roots and c/a is product of roots.
The quadratic equation here is x^2 + dx + 72 = 0, where product of roots is 72.
If we find all the factors of 72, we have the answer.
By prime factorization, we get 72= 2^3*3^2.
We know that total factors are (3+1)*(2+1... | D |
mathematics | Mr Sridharan invested money in two schemes A and B,offering compound interest @ 8 p.c.p.a. and 9 p.c.p.a.respectively. If the total amount of interest accured through the two schemes together in two years was 4818.30 and the total amount invested was 27,000, what was the amount invested in Scheme A? | [
"15,000",
"13,500",
"12,000",
"Cannot be determined",
"None of these"
] | Let, in scheme A, Sridharan invest x.
Then, his investment in scheme B = (27000 – x).
Now,
x(1+8100)2+(2700−x)(1+9100)2
– 27000 = 4818.30
or, x(1.08)2 + (27000 – x)(1.09)2 = 31818.30
or, 1.1664x + 32078.7 – 1.1881x = 31818.30
or, 0.0217x = 260.4
or, x = 260.4⁄0.0217 = 12000
Answer C
The answer is: C | C |
mathematics | A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 105 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage? | [
"8%",
"9%",
"11%",
"12.5%",
"14.28%"
] | Typical dosage is Dose : weight :: 2: 15.
Now if weight is 105 (Multiplying factor is 7: (105/15)) then typical dosage would be 2 *7 = 14 cc.
Dosage = 18 cc. Dosage is greater by 2 cc.
% dosage is greater: (2 / 14)*100 = 14.28 %
E is the answer.
The answer is: E | E |
mathematics | What will come in place of the x in the following Number series? 5,28,57,88,125 | [
"190",
"180",
"166",
"189",
"191"
] | 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
The answer is: C | C |
mathematics | 1,236
1,263
1,326
.....
....
+6,321
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,3,6 exactly once in each integer. What is the sum of these 24 integers? | [
"63,332",
"67,772",
"71,112",
"75,552",
"79,992"
] | In each of the units, tens, hundreds, and thousands place, each digit will appear 6 times.
Then the sum equals 6(1111)+6(2222)+6(3333)+6(6666) = 79,992
The answer is E.
The answer is: E | E |
mathematics | The average of 11numbers is 500. Out of 11numbers the average of first 6no. is 50, and last 6numbers is 60 then find 6th number? | [
"95",
"80",
"110",
"120",
"72"
] | 6th number = sum of 1st 6no.s + sum of last 6no.s - sum of 11no.s
answer = 6*50+6*60-11*50 = 110
Answer is C
The answer is: C | C |
mathematics | There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? | [
"120",
"720",
"1,060",
"1,620",
"1,980"
] | Answer is E. Can somebody tell me what answer I may have found if I had added the 10C2 and 9C2 (45+36=81)?
I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?
D
The answer is: D | D |
mathematics | Rahul and Sham together can complete a task in 35 days, but Rahul alone can complete same work in 60 days. Calculate in how many days Sham can complete this work ? | [
"84 days",
"82 days",
"76 days",
"68 days",
"60 days"
] | Explanation:
As Rahul and Sham together can finish work in 35 days.
1 days work of Rahul and Sham is 1/35
Rahul can alone complete this work in 60 days,
So, Rahul one day work is 1/60
Clearly, Sham one day work will be = (Rahul and Sham one day work) - (Rahul one day work)
=1/35-1/60
=1/84
Hence Sham will complete the ... | A |
mathematics | Of the 30 employees of a certain company, 10 are accountants. 2 employees of the company will be selected at random. Which of the following is closest to the probability that neither of the employees selected will be an accountant? | [
"P(E)=0.43",
"0.36",
"0.31",
"0.52",
"0.63"
] | We can Solve this by two ways:
either find the probability by = 1-(both accountant+atleast one accountant)
or direct from = P(both non accountant)
second is easier but requires calculation if don't do the approximation.
So probability= (20/30)*(19/29) = 0.43
so the answer is A
The answer is: A | A |
mathematics | A person want to give his money of $4500 to his 4 children A,B,C,D in the ratio 2:4:5:4. What is the A+B share? | [
"$1000",
"$2000",
"$1800",
"$1500",
"$1600"
] | A's share = 4500*2/15 = $600
B's share = 4500*4/15 = $1200
A+B = $1800
Answer is C
The answer is: C | C |
mathematics | A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train? | [
"79.0",
"79.2",
"79.5",
"79.7",
"79.6"
] | Let x is the length of the train and v is the speed
Time taken to move the post = 8 s
=> x/v = 8
=> x = 8v --- (1)
Time taken to cross the platform 264 m long = 20 s
(x+264)/v = 20
=> x + 264 = 20v ---(2)
Substituting equation 1 in equation 2, we get
8v +264 = 20v
=> v = 264/12 = 22 m/s
= 22×36/10 km/hr = 79.2 km/hr
An... | B |
mathematics | A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be | [
"7744",
"8844",
"5544",
"4444",
"3444"
] | length of wire = 2 PieR= 2 *(22/7 )*56 = 352 cm
side of the square = 352/4 = 88cm
area of the square = 88*88 = 7744 sq cm Answer: A
The answer is: A | A |
mathematics | The average of 3 consecutive odd numbers is 30. What is the difference between the highest and lowest numbers? | [
"5",
"6",
"8",
"4",
"3"
] | Let the numbers be x, x+2, x+4
Then, (x+ x+2+ x+4)/3 = 30
x = 28
Required answer is = 28+4-28 = 4
Answer is D
The answer is: D | D |
mathematics | Three pipes of same capacity A,B,C can fill a tank in 24 hours. If there are only two pipes A and B of same capacity, the tank can be filled in? | [
"12",
"24",
"6",
"36",
"8"
] | The part of the tank filled by three pipes in one hour
= 1/24
=> The part of the tank filled by two pipes in 1 hour
= 2/3 * 1/24 = 1/36.
The tank can be filled in 36 hours.
Answer:D
The answer is: D | D |
mathematics | A student got 72% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject? | [
"65%",
"67%",
"69%",
"71%",
"73%"
] | 72 + 84 + x = 3*75
x = 69
The answer is C.
The answer is: C | C |
mathematics | A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the ... | [
"6",
"5",
"3",
"2",
"1"
] | Case 1: Final group = 3; Rest of the group = 4A; Number of members = 4A + 3
Case 2: Final group = 3; Rest of the group = 5B; Number of members = 5B + 3
4A + 3 = 5B + 3
4A = 5B --> Possible values = 20, 40, 60, ........ --> But only 40 satisfies the given conditions
Number of members = 40 + 3 = 43
When divided into grou... | E |
mathematics | What is 990*990? | [
"974,169",
"974,219",
"974,549",
"980,100",
"985,369"
] | if you take a base of 1000 then 990 is 10 less than 1000
to get the product of 990 x 990 write like this
990- 10( as 10 less than base1000)
990- 10
now 10 x 10 = 100
and 990-10 = 980
so 990 x 990 = 980100 ... (bingo the answer is D . you can even have a shortcut ...... 10 x 10 = 100... only answer choice has last three... | D |
mathematics | A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph? | [
"24 km",
"76 km",
"99 km",
"77 km",
"20 km"
] | Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 4.5
=> x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.
Answer: E
The answer is: E | E |
mathematics | The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages. | [
"20,35,45",
"8,20,28",
"16,28,36",
"16,28,46",
"None of these"
] | Let the present ages of three persons be 4K,7K and 9K respectively.
(4K - 8) + (7K - 8) + (9K - 8) = 56
20K = 80
K = 4
Therefore, then present ages are 16,28,36.
ANSWER:C
The answer is: C | C |
mathematics | For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 75 terms? | [
"25/26",
"40/41",
"75/76",
"150/151",
"151/75"
] | a1 = 1 - 1/2
a2 = 1/2 - 1/3
a3 = 1/3 - 1/4
etc...
a75 = 1/75 - 1/76
The sum of these terms is 1-1/76 = 75/76
The answer is C.
The answer is: C | C |
mathematics | What day of the week does May 28 2006 fall on | [
"Saturday",
"Monday",
"Sunday",
"Thursday",
"Tuesday"
] | Explanation :
28th May 2006 = (2005 years + period from 1-Jan-2006 to 28-May-2006)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2005
= 4 normal years + 1 leap year
= 4 x 1 + 1 x 2 = 6
Days ... | C |
mathematics | Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? | [
"10.6 sec",
"18.8 sec",
"14.8 sec",
"10.8 sec",
"11.8 sec"
] | Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.
Answer: D
The answer is: D | D |
mathematics | James celebrated his 23rd Birthday on 2016 but he was strangely born in 1950. How can this be possible? | [
"1250",
"1850",
"1980",
"1950",
"1750"
] | D
I was born in Hospital whose room number is 1950.
The answer is: D | D |
mathematics | A train covers a distance of 1250 km in 25hrs. Find the speed of the train? | [
"30km/hr",
"40km/hr",
"50km/hr",
"60km/hr",
"100km/hr"
] | Speed = 1250/25 = 50km/hr
Answer is C
The answer is: C | C |
mathematics | The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction? | [
"3/16",
"3/28",
"3/11",
"3/19",
"3/29"
] | The denominator be P, the numerator will be (P - 8).
The fraction will be (P - 8)/P.
Adding 3 to the numerator and subtracting 3 from the denominator, (P - 8 + 3)/(P - 3) = 3/4.
(P - 5)/(P - 3) = 3/4
P = 20 - 9 => P = 11.
The fraction is: 3/11.
Answer:C
The answer is: C | C |
mathematics | Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first | [
"8%",
"10%",
"9%",
"11%",
"12%"
] | Let the third number is x.
then first number = (100-30)% of x
= 70% of x = 7x/10
Second number is (63x/100)
Difference = 7x/10 - 63x/100 = 7x/10
So required percentage is, difference is what percent of first number
(7x/100 * 10/7x * 100 )% = 10% ANSWER :B
The answer is: B | B |
mathematics | If the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^3 have? | [
"7",
"5",
"6",
"8",
"9"
] | take the example of 4...
it has 3 positive divisors (1,2,4)
Now, take the example of 64...
it has only 7 divisors..
so A is the ans
The answer is: A | A |
mathematics | The average of 7 numbers is 26. If each number be multiplied by 5. Find the average of new set of numbers? | [
"A)110",
"B)122",
"C)120",
"D)125",
"E)130"
] | Explanation:
Average of new numbers = 26 * 5 = 130
Answer: Option E
The answer is: E | E |
mathematics | Sam bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents? | [
"50RW/Q.",
"50QR/W.",
"25RQ/W.",
"25RW/Q.",
"RW/(4Q)."
] | Sam bought 2Q steaks for W dollars, so 1 steak = W/2Q
Jerome buys R steaks for a 50% discount: r* (W/4Q)
in cents the answer will be : r* (100 W/4Q)= 25 RW/ Q=D
The answer is: D | D |
mathematics | Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $3 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 perce... | [
"9%",
"56.6%",
"11%",
"12%",
"15%"
] | You know that Fox jeans costs $15, and Pony jeans costs $18, you also know that 3 pairs of Fox jeans and 2 pairs of Pony jeans were purchased. So
3(15) = 45 - Fox
2(18) = 36 - Pony
The total discount discount is $3 and you are asked to find the percent discount of pony jeans,
so 45(18 - X)/100 + 36(X)/100 = 3 or 45*18 ... | B |
mathematics | Of the six-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two? | [
"2443200",
"3643200",
"5443200",
"1443200",
"2163200"
] | Of the six-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
A. 24
B. 36
C. 72
D. 144
E. 216
Choosing the digit for p - 9 ways;
Choosing the digit for q - 8 ways;
Choosing the digit for r - 7ways;
Choosi... | C |
mathematics | The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: | [
"504",
"536",
"544",
"548",
"568"
] | Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.
Answer: Option D
The answer is: D | D |
mathematics | Jim is able to sell a hand-carved statue for $620 which was a 25% profit over his cost. How much did the statue originally cost him? | [
"$496.00",
"$512.40",
"$555.40",
"$574.90",
"$588.20"
] | 620 = 1.25*X
X = 620/1.25 = 496.00
which rounds to $496.00, which is (A).
The answer is: A | A |
mathematics | If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is | [
"18.20",
"18.33",
"18",
"18.3",
"None of these"
] | Explanation:
Present worth = Amount - TrueDiscount
= 110 -10 = Rs.100
SI on Rs.100 for a certain time = Rs.10
SI on Rs.100 for doube the time = Rs.20
TrueDiscount on Rs.120 = 120 - 100 = Rs.20
TrueDiscount on Rs.110 = (110x 20/120) = Rs.18.33
Answer: B
The answer is: B | B |
mathematics | How many diagonals does a 60-sided convex polygon have? | [
"960",
"1280",
"1710",
"2560",
"3420"
] | A 60-sided convex polygon has 60 vertices.
If we examine a single vertex, we can see that we can connect it with 57 other vertices to create a diagonal. Note that we can't connect the vertex to itself and we can't connect it to its adjacent vertices, since this would not create a diagonal.
If each of the 60 vertices ca... | C |
mathematics | Find the one which does not belong to that group ? | [
"237",
"232",
"223",
"426",
"111"
] | Explanation:
525 => 5 52,
39 => 3 32,
24 => 2 22,
636 => 6 62. The above pattern is not followed in 426.
Answer: D
The answer is: D | D |
mathematics | 7500 + (1250 / 50) | [
"7500",
"7525",
"7550",
"8000",
"None of these"
] | Explanation:
As per BODMAS rule first we will solve the terms in the bracket then other.
= 7500 + (25) = 7525
Option B
The answer is: B | B |
mathematics | A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 5, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able ... | [
"1/2",
"1/4",
"1/8",
"1/16",
"1/32"
] | There are 4*4 = 16 possibilities.
Bob has 2 chances so the probability is 2/16 = 1/8.
The answer is C.
The answer is: C | C |
mathematics | Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x? | [
"1",
"2",
"3",
"5",
"7"
] | C) 3
The answer is: C | C |
mathematics | The C.P of 8 books is equal to the S.P of 16 books. Find his gain% or loss%? | [
"60%",
"50%",
"70%",
"90%",
"55%"
] | explanation:
8 CP = 16 SP
16 --- 8 CP loss
100 --- ? => 50% loss
Answer: B
The answer is: B | B |
mathematics | IF 2+3=10 ; 2+5=27 ; 2+7=53 Then 2+11=? | [
"124",
"129",
"128",
"125",
"120"
] | 2^0 + 3^2= 1 + 9 = 10
2^1 + 5^2= 2 + 25 = 27
2^2 + 7^2= 4 + 49 = 53
and
2^3 + 11^2= 8 + 121 = 129
ANSWER:B
The answer is: B | B |
mathematics | A reading list for a certain course consists of 10 books, of which 5 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements? | [
"90",
"115",
"130",
"144",
"155"
] | Ans: B
Solution: Selection requires at most 2 novels, means=
0N4P + 1N3P + 2N2P
5c0*5c4+ 5c1*5c3 + 5c2*5c2
= 5+ 50 + 100
= 155
Ans: E
The answer is: E | E |
mathematics | Concentrated pineapple juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated pineapple juice, at the most, can fit into 3 wooden boxes? | [
"24.",
"28.",
"36.",
"42.",
"48."
] | concentrated pineapple juice since height of a tube is 15 inches , the tubes can fit only in one way .
now, diameter of each tube = 5 inches
therefore, 4*2 can be put in each wooden box
in 3 boxes 3*4*2 can be accommodated
= 24=A
The answer is: A | A |
mathematics | If 6,15 and 24 are factors of T, which of the following is the largest number that must divide evenly into T? | [
"30",
"48",
"60",
"80",
"120"
] | You can verify which the following numbers are divisible by 6,15,24 simultaneously
By elimination you will find that only the number 120 satisfies this condition.
So, the answer is E.
The answer is: E | E |
mathematics | The L.C.M of two numbers is 48. The numbers are in the ratio 1:4. The sum of numbers is: | [
"28",
"30",
"40",
"50",
"60"
] | Let the numbers be 1x and 4x.
Then, their L.C.M = 4x. So, 4x = 48 or x = 12.
The numbers are 12 and48.
Hence, required sum = (12+ 48) = 60.
ANSWER:E
The answer is: E | E |
mathematics | What is the remainder when 570 is divided by 6? | [
"1",
"5",
"4",
"0",
"2"
] | Explanation:
52 = 25, on division by 6, the remainder is 1.
53 = 125, on division by 6, the remainder is 5.
54 = 625, on division by 6, the remainder is 1.
55 = 3125, on division by 6, the remainder is 5.
Hence, for 5 (2x) on division by 6, the remainder is 1, and for 5(2x-1) on division by 6, the remainder is 5.
There... | A |
mathematics | If the tens digit of positive integer x is 6 and the tens digit of positive integer y is 6, how many possible values of the tens digit of 2(x+y) can there be? | [
"2",
"3",
"4",
"5",
"6"
] | We only need to consider the tens and ones digits of x and y, and the last two digits can be represented as 60 + p and 60 + q respectively.
2(60+p+60+q)= 240 + 2(p + q).
2(p+q) can range from 0 up to a maximum value of 36 when p=q=9.
Then the tens and ones digits of 2(x+y) can range from 40 up to 76.
There can be 4 pos... | C |
mathematics | 19.19/2000 is equal to: | [
"1.01252633",
"0.01262533",
"0.12526333",
"0.012793333",
"0.12725333"
] | 19.19/2000 = 2525/200000
= 0.012793333
ANSWER:D
The answer is: D | D |
mathematics | Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.157 per kg, the price of the third variety per kg will be | [
"Rs.179.50",
"Rs.1700",
"Rs. 175.50",
"Rs. 180",
"None"
] | Solution
Since first second varieties are mixed in equal proportions, so their average price = Rs.(126+135/2) = Rs.130.50
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
x-157/22.50 = 1 =› x - 157 = 22.5... | A |
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? | [
"8.76",
"8.79",
"8.75",
"8.74",
"8.72"
] | (5 * 3.5)/2 = 8.75
Answer: C
The answer is: C | C |
mathematics | A man sells a horse for Rs.200 and loses something, if he had sold it for Rs.620, his gain would have been double the former loss. Find the cost price of the horse? | [
"140",
"162",
"160",
"150",
"71"
] | CP = SP + 1CP = SP - g
200 + x = 620 - 2x
3x = 420 => x = 140
Answer:A
The answer is: A | A |
mathematics | 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last? | [
"10",
"13",
"15",
"18",
"21"
] | Sol. 2 oxen = 3 buffaloes = 4 cows 8 oxen = 16 cows and 15 buffaloes = 20 cows 16 cows + 20 cows + 24 cows = 60 cows Since fodder is available for 60 cows for 24 days
So fodder will be available for (60 + 8 + 12) = 80 cows c 24x60 .0 .
for-^—=18 days.
D
The answer is: D | D |
mathematics | P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days. | [
"8",
"10",
"14",
"16",
"19"
] | Work done by P in 1 day = 1/24
Work done by Q in 1 day = 1/9
Work done by R in 1 day = 1/12
Work done by Q and R in 1 day = 1/9 + 1/12 = 7/36
Work done by Q and R in 3 days = 3×7/36 = 7/12
Remaining work = 1 – 7/12 = 5/12
Number of days in which P can finish the remaining work = (5/12) / (1/24) = 10
B
The answer is: B | B |
mathematics | There are two sections Y and Z of a class, consisting of 288 and 352 students respectively. If the average weight of sections Y is 320 kg and that of sections Z is 280 kg. Find the average weight of the whole class | [
"297.5",
"298.0",
"298.5",
"299.0",
"None"
] | Solution
Total weight of(288+352)Students = (288x320+352x280)Kg
= 1,90,720 kg.
Average weight of the whole class = (190720 / 640)
= 298.00.
Answer B
The answer is: B | B |
mathematics | In how many ways can 4 men & 3 women can be made from a gang of 7 men & 8 women ? | [
"91",
"94",
"89",
"10",
"19"
] | Explanation:
7C4 * 8C3 = 91
A
The answer is: A | A |
mathematics | How many numbers from 10 to 46 are exactly divisible by 3? | [
"13",
"12",
"16",
"17",
"18"
] | 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45.
12 Numbers.
10/3 = 3 and 46/3 = 15 ==> 15 - 3 = 12. Therefore 12 digits
B)
The answer is: B | B |
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