subject
stringclasses 1
value | question
stringlengths 3
1.14k
| options
listlengths 5
5
| solution
stringlengths 18
3.7k
| answer
stringclasses 5
values |
|---|---|---|---|---|
mathematics
|
What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal)
|
[
"3",
"4",
"5",
"6",
"7"
] |
Since no flowers are to be left out, then the number of bouquets must be a factor of both 21 and 91. For example, we cannot have 2 bouquets since we cannot divide 91 red tulips into 2 bouquets without one tulip left over.
Only answer choice which is a factor of 91 is E (7).
Answer: E.
The answer is: E
|
E
|
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
|
[
"145",
"185",
"253",
"370",
"None"
] |
Solution
Let the number 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 digit is smaller than the units digit.
Hence, required number = 253.
Answer C
The answer is: C
|
C
|
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",
"23/36",
"23/18",
"23/17",
"23/12"
] |
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)/(15 * 14) = 36/70 + 1/7
= 46/70 = 23/35
Answer:A
The answer is: A
|
A
|
mathematics
|
A salt manufacturing company produced a total of 2500 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
|
[
"2060",
"3050",
"5550",
"2889",
"2506"
] |
Total production of salt by the company in that year = 2500 + 2600 + 2700 + .... + 3600 = 36600.
Average monthly production of salt for that year = 36600/12 = 3050.
Answer: B
The answer is: B
|
B
|
mathematics
|
In a Company, there are certain number of team members and certain number of team leaders. If five team members are assigned to each team leader, then one member is left out without team leader. If six members are assigned to each team leader, then one team leader has no member at all. Find the number of team leaders in that company?
|
[
"7",
"36",
"5",
"8",
"9"
] |
on the basis of question
x = 5y+1
x = 6(y-1)
on solving these 2 equations x = 36
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.6 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
|
[
"a. 150",
"b. 300",
"c. 600",
"d. 1,200",
"e. 360"
] |
Volume Per Box: 15x12x10 = 1,800
Total Volume: 1,080,000
Number of Boxes: Total Volume / Volume Per Box = 1,080,000 / 1,800 = 600
Price Per Month: Number of Boxes * Price Per Box = 600 * 0.6 = 360
Answer: E
The answer is: E
|
E
|
mathematics
|
30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
|
[
"33",
"34",
"26",
"10",
"19"
] |
Explanation:
Let the two parts be (30- x) and x.
Then, 10 (30 - x) + 22x = 780
=> 12x = 480
=> x = 40.
Bigger part = (30- x) = 10.
Answer: D) 10
The answer is: D
|
D
|
mathematics
|
A factory produces 3400 toys per week. If the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
|
[
"575 toys",
"375 toys",
"680 toys",
"475 toys",
"675 toys"
] |
To find the number of toys produced every day, we divide the total number of toys produced in one week (of 5 days) by 5.
3400 / 5 = 680 toys
correct answer C
The answer is: C
|
C
|
mathematics
|
Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
|
[
"240/1577",
"240/1527",
"240/1547",
"240/1518",
"240/1273"
] |
P : 2/13 = 5/34 : 7/48
As the product of the means is equal to the product of the extremes.
P*7/48 = 2/13 * 5/34
P*7/48 = 10/442
P = 480/3094 => P = 240/1547
Answer:C
The answer is: C
|
C
|
mathematics
|
The probability that a number selected at random from the first 50 natural numbers is a composite number is?
|
[
"17/22",
"17/25",
"17/21",
"17/91",
"17/12"
] |
The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25.
Answer:B
The answer is: B
|
B
|
mathematics
|
A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $20,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
|
[
"$215,000",
"$365,000",
"$115,000",
"$175,000",
"$160,000"
] |
20,000 = 0.15 *(50000) + 0.10 (x - 50000)
20000 - 7500 = 0.10 (x-50000)
125000 = x - 50000
x = 1,75,000
Answer : D
The answer is: D
|
D
|
mathematics
|
If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 5 percent to salaries, what fraction of its budget remains for other allocations?
|
[
"1/4",
"2/4",
"3/4",
"1/5",
"2/5"
] |
100%-(10%+10%+5%)=75% remains for other allocations --> 75% = 75/100 = 3/4.
Answer: C.
The answer is: C
|
C
|
mathematics
|
The total of company C's assets in 1994 was 600% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
|
[
"7N",
"8N",
"9N",
"12N",
"35N"
] |
Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.
In 1993, the total assets were 400% GREATER, which means 1992 PLUS 400% of 1992:
$100 + 4x$100 = $100 + $400 = $500
In 1994, the total assets were 600% GREATER than they were in 1993, which means 1993 PLUS 600% of 1993:
$500 + 6x$500 = $500 + $3000 = $3500
This is 35 times the 1992 number, so the correct answer is 35N.
E
The answer is: E
|
E
|
mathematics
|
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
|
[
"40",
"41",
"45",
"49",
"46"
] |
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
Answer: Option A
The answer is: A
|
A
|
mathematics
|
If y is 90% greater than x, than x is what % less than y?
|
[
"35.7%",
"39.8%",
"43.2%",
"47.4%",
"51.2%"
] |
y = 1.9x
x = y/1.9 = 10y/19
x is 9/19 less which is 47.4% less than y.
The answer is D.
The answer is: D
|
D
|
mathematics
|
18 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
|
[
"22",
"66",
"88",
"100",
"281"
] |
(18 * 8)/30 = (x * 6)/50 => x =40
40 – 18 = 22
Answer: A
The answer is: A
|
A
|
mathematics
|
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. four years from today, the difference between the age of the boy and the combined ages of the girls will be
|
[
"1",
"2",
"-3",
"–2",
"–1"
] |
Approach I (Plugin's)
Girl I ............... Girl II ................ Boy
1 ....................... 1 ........................ 3 (Assume the current ages)
1 + 1 < 3 .......... (Satisfies the given condition)
1 Year later there ages are
2 ....................... 2 ......................... 4
2 + 2 = 4 ............ (Satisfies the given condition)
After 4 years there ages are
5 ....................... 5 ............................ 7
Difference = 7 - (5+5) = 7 - 10 = -3
Answer = C
The answer is: C
|
C
|
mathematics
|
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
|
[
"30720",
"153600",
"15360",
"307200",
"153700"
] |
Perimeter = Distance covered in 8 min. =12000/60x 8 m = 1600 m.
Let length = 3x metres and breadth = 2x metres
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m2
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Of the 200 stamps in a collection, 90 are foreign and 80 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
|
[
"50",
"80",
"100",
"130",
"150"
] |
20 stamps are both foreign and more than 10 years old.
70 stamps are foreign only.
60 stamps are 10 years old only.
The number of remaining stamps is 200 - (20+70+60) = 50
The answer is A.
The answer is: A
|
A
|
mathematics
|
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,715 minutes earlier? (Assume standard time in one location.)
|
[
"6:22",
"6:24",
"6:27",
"6:30",
"6:33"
] |
6:27minus 2,880,715in any way must end with 2, the only answer choice which ends with 2 is A.
Answer: A.
The answer is: A
|
A
|
mathematics
|
If a * b = a + b/ab , find the value of 5 * (5 * -2) :
|
[
"-3",
"-10",
"-1.66",
"3/5",
"-12"
] |
(5 * -2) = (5 x (-2))/(5 + (-2)) = -10/3
So, 5 * (5 * -2) = 5 * (-10/3) = (5 * (-10/3))/(5 + (-10/3))
= (-50/3) * (3/5)
= -10.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 10% savings. Assuming that they operate independently, what is the net saving achieved?
|
[
"56%",
"64%",
"62.2%",
"68%",
"61%"
] |
If initial cost is Rs 100, then
Final cost will be 100*0.7*0.6*0.9 = Rs. 37.8
savings = 100-37.8=62.2
so 62.2%
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If 0.764 B = 1.236 A, then what is the value of (B - A)/(B + A) ?
|
[
"0.764",
"0.236",
"2",
"0.472",
"None"
] |
Answer
Given, 0.764 B = 1.236 A
⇒ B/A = 1.236 / 0.764
Now, (B - A)/(B + A) = (B/A - 1) / (B/A + 1)
= (1.236/0.764 - 1) / (1.236/0.764 + 1)
= (1.236 - 0.764)/(1.236 + 0.764)
= 0.472/2.000
= 0.236
Correct Option: B
The answer is: B
|
B
|
mathematics
|
Ritesh and Co. generated revenue of Rs. 1,700 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
|
[
"18.38%",
"20%",
"25%",
"50%",
"None of these"
] |
Explanation :
Given, Ritesh and Co. generated revenue of Rs. 1,700 in 2006 and that this was 12.5% of the gross revenue.
Hence, if 1700 is 12.5% of the revenue, then 100% (gross revenue) is:
=>(100/12.5)×1700.
=>13,600.
Hence, the total revenue by end of 2007 is Rs. 13,600. In 2006, revenue grew by Rs. 2500. This is a growth of:
=>(2500/13600)×100.
=>18.38%.
Answer : A
The answer is: A
|
A
|
mathematics
|
If you multiply all the numbers on your mobile phone , what is the answer?
|
[
"2",
"6",
"1",
"0",
"7"
] |
D
0
Their is a zero in your phone.
The answer is: D
|
D
|
mathematics
|
How many numbers from 39 to 79 are exactly divisible by 11?
|
[
"5",
"7",
"4",
"11",
"12"
] |
39/11 = 1 and 79/11 = 7 ==> 7 - 3 = 4 Numbers
Answer : C
The answer is: C
|
C
|
mathematics
|
What will be the reminder when (67^67+67) is divided by 68?
|
[
"1",
"63",
"66",
"67",
"None of these"
] |
(x^n+1) will be divisible by (x+1) only when n is odd;
(67^67+1) will be divisible by (67+1);
(67^67+1)+66 when divided by 68 will give 66 as remainder.
Correct Option : C
The answer is: C
|
C
|
mathematics
|
A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
|
[
"500",
"700",
"750",
"900",
"950"
] |
He sells 40% of oranges and still there are 420 oranges remaining.
=> 60% of oranges = 420
=> Total oranges
×
60
100
=
420
×60100=420
=> Total oranges
=
420
×
100
60
=
700
Option B
The answer is: B
|
B
|
mathematics
|
How many cubes will remain if the cubes having black and green coloured are removed ?
|
[
"16",
"15",
"8",
"12",
"10"
] |
Number of small cubes which are Black and Green is 8 in all.
Hence, the number of remaining cubes are = 24 - 8 = 16
ANSWER A
The answer is: A
|
A
|
mathematics
|
30% people of a village in Sri Lanka died by bombardment, 25% of the remainder left the village on account of fear. If now the population is reduced to 6695, how much was it in the beginning?
|
[
"7000",
"6700",
"6695",
"7645",
"6575"
] |
X * (70/100) * (75/100) = 3515
X = 6695
Answer: C
The answer is: C
|
C
|
mathematics
|
Find the odd man out
864, 420, 200, 85, 40, 16, 6
|
[
"420",
"85",
"16",
"40",
"6"
] |
6x2+4=16
16x2+8=40
40x2+12=92
92x2+16=200.. and so on. 85
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?
|
[
"220044",
"145778",
"220400",
"220014",
"220040"
] |
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220040
E
The answer is: E
|
E
|
mathematics
|
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
|
[
"6 days",
"18 days",
"21 days",
"3 days",
"13 days"
] |
We have the important relation, More work, More time (days)
A piece of work can be done in 6 days.
Three times of work of same type can be done in 6 x 3
= 18 days
Answer B
The answer is: B
|
B
|
mathematics
|
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
|
[
"45",
"60",
"75",
"90",
"95"
] |
Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90
Answer: Option D
The answer is: D
|
D
|
mathematics
|
Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 6647, how much amount did Raghu invest ?
|
[
"2300",
"2887",
"2000",
"1129",
"1192"
] |
Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 6647
= x= 6647/2.89 = 2300
Therefore, amount invested by Raghu is Rs. 2300.
Answer: A
The answer is: A
|
A
|
mathematics
|
The price of a cycle is reduced by 25 % The new price is reduced by a further 20 %. The 2reductions together are equalto a single reduction of
|
[
"39",
"45",
"60",
"56",
"70"
] |
Let the original price of the cycle be 100. After the first reduction the price will be 75.
This new price is then reduced by 20% = 0.8 x 75 = 60
60 represents a reduction of 40 percent on the original.
C
The answer is: C
|
C
|
mathematics
|
The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
|
[
"3",
"1",
"0",
"19",
"20"
] |
Average of 20 numbers = 0
Sum of 20 numbers / 20=0
=> Sum of 20 numbers = 0
Hence at the most, there can be 19 positive numbers.
(Such that if the sum of these 19 positive numbers is x, 20th number will be -X)
ANSWER:C
The answer is: C
|
C
|
mathematics
|
12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many more days they will complete the work?
|
[
"10 days",
"9 days",
"8 days",
"7 days",
"6 days"
] |
total work 12*18=216 units
after 6 days work finished 6*12=72 units
remaining work 216-72=144 units
remaing days =144(12+4)=9 days
ANSWER:B
The answer is: B
|
B
|
mathematics
|
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 7 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
|
[
"12",
"19",
"60",
"180",
"630"
] |
7C3 * 4C2 * 3C2 = 35*6*3 = 630.
Answer: E.
The answer is: E
|
E
|
mathematics
|
4 dice are thrown simultaneously on the board. Find the probability which show the same face?
|
[
"2/113",
"3/117",
"1/216",
"3/111",
"4/121"
] |
The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
The answer is: C
|
C
|
mathematics
|
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
|
[
"5 : 2",
"7 : 3",
"9 : 2",
"13 : 4",
"13 : 6"
] |
Let the present ages of father and son be x and y years respectively.
Then (x-10) = 3 (y-10) or
3y-x = 20 ------ (1)
and (x+10) = 2 (y+10) or
x-2y = 10 ----- (2)
(1) + (2) -> y = 30
Substituting y = 30 in equation (1) we get x = 70
Ratio of their ages = 70 : 30 or 7:3
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A group of men decided to do a work in 20 days, but 10 of them became absent. If the rest of the group did the work in 40 days, Find the original number of men?
|
[
"20",
"50",
"40",
"100",
"25"
] |
Original number of men = 10*40 / (40-20) =20
Answer is A
The answer is: A
|
A
|
mathematics
|
At what time between 9 and 10 o’clock will the hands of a watch be together?
|
[
"49 1/11 min. past 9",
"40 min. past 9",
"45 min. past 9",
"50 min. past 9",
"None"
] |
Sol.
To be together between 9 and 10 o’clock, the minute hand has to gain 45 min. spaces. 55 min. spaces gined in 60 min.
45 min. spaces are gained in [60 / 55 * 45] min. or 49 1/11 min.
∴ The hands are together at 49 1/11 min. past 9.
Answer A
The answer is: A
|
A
|
mathematics
|
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
|
[
"21/9 sec",
"32/3 sec",
"20/7 sec",
"32/3 sec",
"53/2 sec"
] |
They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 100/35 = 20/7 sec.
Answer:C
The answer is: C
|
C
|
mathematics
|
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 2 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?
|
[
"20%",
"17%",
"5.5%",
"3.3%",
"2.8%"
] |
33.33/6=5.5
Answer : C
The answer is: C
|
C
|
mathematics
|
How many 3-digit numerals begin with a digit that represents a prime and end with a digit that represents a odd prime number?
|
[
"16",
"120",
"160",
"180",
"240"
] |
prime digits 2,3,5 and 7.
three digit numbers _ _ _
1st place can be filled in 4 ways
2nd place can be filled in 10 ways
3rd place can be filled in 3 ways
Total=4*10*3=120
Ans : B
The answer is: B
|
B
|
mathematics
|
A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 126 in his diary to remember his PIN. He also wrote out the way to calculate 126 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 126".
Once, Prafull saw his diary in which Pinaki wrote this number 126. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
|
[
"871",
"873",
"875",
"877",
"879"
] |
Explanation :
Let, the PIN is x.
According to the question,
The card number =996 and Remainder =126.
Thus, (996 × x)/997=126.
=>x= 871.
Answer : A
The answer is: A
|
A
|
mathematics
|
If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 20, what is the value of r-p?
|
[
"20",
"10",
"30",
"40",
"5"
] |
Arithmetic mean expression for p and q:
(p+q)/2=10 ; p+q=20 ----eq1
Arithmetic mean expression for q and r:
(q+r)/2=20 ; q+r=40 ----eq2
Subtracting eq1 from eq2 we get: r-p=20
Hence, the correct answer is A
The answer is: A
|
A
|
mathematics
|
If T = 5/9 * (K - 32), and if T = 50, then what is the value of K?
|
[
"116",
"119",
"122",
"125",
"128"
] |
K-32=9T/5
K=9T/5 + 32
K=9(50)/5 + 32 = 122
The answer is C.
The answer is: C
|
C
|
mathematics
|
A certain rectangular window is (1/3) times as long as it is wide. If its perimeter is 28 feet, what are its dimensions in terms of length by width?
|
[
"12 by 2",
"11 by 3",
"10.5 by 3.5",
"10 by 4",
"9 by 3"
] |
2x+2y=28
x+y=14
x+(1/3)x=14
4x=14*3
x=10.5
Answer C
The answer is: C
|
C
|
mathematics
|
A and B together can do a piece of work in 1 days. If A alone can do the same work in 20days, then B alone can do the same work in?
|
[
"0.35 days",
"0.45 days",
"0.55 days",
"0.25 days",
"0.95 days"
] |
B = 1/1 – 1/20 =0.95 days
ANSWER:E
The answer is: E
|
E
|
mathematics
|
What is the next number in this sequence:
1, 11, 21, 1211, 111221, 312211, 13112221, _________?
|
[
"1113213211",
"1113213244",
"1113213233",
"1113213222",
"1113213255"
] |
A
1113213211
The next number in sequence is 1113213211.
EXPLANATION-
The sequence goes like
You need to spell the no of digits.
e.g. take the no 1,11,21
Take 1. it spells as one 1 so we get the no 11,
take 11 we spell it as two ones‘ and we get 21
.so take the last given no in the sequence 13112221 so we spell it as one 1 one 3 two 1 three 2’s one 1.
So
the next no in sequence is 1113213211.
The answer is: A
|
A
|
mathematics
|
if 8^25 divided by 7 then what is reminder
|
[
"25",
"1",
"0",
"2",
"3"
] |
8^25/7
8 can be written as 7*1+1
(7*1+1)^25/7
(ax+1)^n/a always gives the remainder 1
here a=7,x=1,n=25
Hence remainder is 1
ANSWER:B
The answer is: B
|
B
|
mathematics
|
P, Q and R have $6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
|
[
"2400",
"2403",
"3998",
"2539",
"1930"
] |
A
2400
Let the amount with R be $ r
r = 2/3 (total amount with P and Q)
r = 2/3(6000 - r) => 3r = 12000 - 2r
=> 5r = 12000 => r = 2400.
The answer is: A
|
A
|
mathematics
|
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs. How many workers were they?
|
[
"250",
"400",
"500",
"560",
"650"
] |
N * 50 = (325000 - 300000) = 25000
N = 25000 / 50
= 500
C
The answer is: C
|
C
|
mathematics
|
If the sides of a triangle are 17.2 cm, 14 cm and 10 cm, what is its area?
|
[
"60 cm^2",
"70 cm^2",
"80 cm^2",
"85 cm^2",
"90 cm^2"
] |
The triangle with sides 17.2 cm, 14 cm and 10 cm is right angled, where the hypotenuse is 17.2 cm.
Area of the triangle
= 1/2 * 14 * 10
= 70 cm^2
Answer: B
The answer is: B
|
B
|
mathematics
|
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is :
|
[
"1",
"2",
"3",
"4",
"5"
] |
Sol.
Let the total distance be 3x km.
Then, x/3 + x/4 + x/5 = 47/60 ⇔ 47x/60 = 47/60 ⇔ x = 1.
∴ total distance = (3*1) km = 3km.
Answer C
The answer is: C
|
C
|
mathematics
|
If x/y =2/4, then (x-y)/x?
|
[
"-1/2",
"-1",
"1/3",
"1",
"5"
] |
we have this law of fraction:
a/b=c/d= (a-c)/(b-d)
x/y=2/4 ---> x/2=y/4= (x-y)/(2-4)=(x-y)/(-1
2) ---> (x-y)/x= -2/2 = -1
Answer: B
The answer is: B
|
B
|
mathematics
|
The average (arithmetic mean) of eight numbers is 49.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
|
[
"12.8",
"24.2",
"58.6",
"72.1",
"96.8"
] |
arithmetic mean = sum / total numbers
sum = 49.1 * 8 = 392.8
sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum = 392.8-158.4 = 234.4
Arithmetic mean of the 4 nos = 234.4/4 = 58.6
Hence, C is the answer.
The answer is: C
|
C
|
mathematics
|
If the sum of three consecutive even numbers is 30 more than the average of these numbers, then the largest of these numbers is?
|
[
"20",
"19",
"18",
"17",
"16"
] |
Explanation:
Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4).
x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 30
3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 90
9x + 18 = 3x + 96
6x = 78
x = 13
Therefore, the largest number is 17.
ANSWER D
The answer is: D
|
D
|
mathematics
|
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
|
[
"120",
"110",
"130",
"140",
"150"
] |
The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: Option A
The answer is: A
|
A
|
mathematics
|
In how many different ways can the letters of the word ‘LOVE’ be arranged ?
|
[
"24",
"120",
"720",
"40320",
"6"
] |
A
24
Required number of arrangements = 4! = 24
The answer is: A
|
A
|
mathematics
|
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 60 units raises the average to 55 units per day, what is the value of n ?
|
[
"30",
"18",
"10",
"9",
"1"
] |
(average production for n days) * n = (total production for n days) --> 50n=(total production for n days);
(total production for n days) + 60 = (average production for n+1 days) * (n+1) --> 50n + 60 = 55 * (n+1) --> n=1.
Answer: E.
The answer is: E
|
E
|
mathematics
|
In how many W ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
|
[
"720",
"864",
"900",
"936",
"1,296"
] |
Total number of four letter passwords = 6*6*6*6= 1296 ------(1)
Total number of passwords in which no letter repeats = 6C4*4!= 15*24=360------(2)
therefore required value W= (1)-(2)= 1296-360=936.D
The answer is: D
|
D
|
mathematics
|
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 260 m long?
|
[
"34 Seconds",
"22 Seconds",
"41 Seconds",
"24 Seconds",
"29 Seconds"
] |
D
24 Seconds
Distance travelled = 140 + 260m = 400m
Speed = 60 * 5/8 = 50/3m
Time = 400 * 3/50 = 24 Seconds
The answer is: D
|
D
|
mathematics
|
If the operation @ is defined for all a and b by the equation a@b =(a^b)/2,then (3@2)=?
|
[
"4",
"2",
"9/2",
"-9/2",
"-8/2"
] |
work within the parenthesis first so solve (3@2) first
(3@2)=(3^2)/2=9/2
so 9/2 is the answer....this question is merely testing order of operations
remember PEMDAS
Answer:C
The answer is: C
|
C
|
mathematics
|
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
|
[
"300",
"400",
"500",
"600",
"700"
] |
Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 7 people all together .how many people can sit in a bus?
|
[
"52",
"49",
"95",
"88",
"66"
] |
Right Side =15 seat
Left Side =15-3 (3 few seat in right side)= 12 seat
Total= 15+12= 27
People can seat in 27 seat= 27*3=81
People can seat in Last Seat = 7
Total People can seat= 81+7=88
ANSWER:D
The answer is: D
|
D
|
mathematics
|
A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $3,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
|
[
"$18,400",
"$19,500",
"$22,200",
"$20,400",
"$21,100"
] |
Price in 96 = 22000
Price decrease each year = 2.5/100*22000 = 550
Price in 97 = 22000 - 550
Price in 98 = 22000 - 2*550
Price in 99 = 22000 - 3*550
Price in 00 = 22000 - 4*550
Price in 01 = 22000 - 5*550
Price in 02 = 22000 - 6*550 = 18700
Investment in the car = 3500
Net price of the car in 02 = 18700 + 3500 = $22200
Correct Option: C
The answer is: C
|
C
|
mathematics
|
A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
|
[
"180 m",
"270 m",
"260 m",
"280 m",
"380 m"
] |
Speed = 54 x 5/18 = 15 m/s
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then, (x + 300)/38 = 15
--> x + 300 = 570
x = 270m.
Answer : B.
The answer is: B
|
B
|
mathematics
|
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
|
[
"277",
"444",
"128",
"127",
"109"
] |
1h ----- 5
? ------ 60
12 h
RS = 16 + 21 = 37
T = 12
D = 37 * 12 = 444
Answer:B
The answer is: B
|
B
|
mathematics
|
What is the next number: 2, 10, 82, __
|
[
"630",
"730",
"830",
"848",
"900"
] |
3^0 + 1 = 2
3^2 + 1 = 10
3^4 + 1 = 82
3^6 + 1 = 730
The answer is B.
The answer is: B
|
B
|
mathematics
|
A ladies hostel had provision of food for 200 women for 35 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:
|
[
"28.97",
"28.0",
"28.47",
"27.47",
"29.47"
] |
Explanation :
After 10 days : 200 women had food for 25 days.
Suppose 175 women had food for x days.
Now, Less women, More days (Indirect Proportion)
175 : 200 :: 25 : x
=> 175 x x = 200 x 25
=> x = 200 x 25 / 175
=> x =28.47
Answer : C
The answer is: C
|
C
|
mathematics
|
How many D ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
|
[
"6C4",
"6P4",
"4^6",
"6^4",
"6!"
] |
Each marble has 4 options, so there are total of D=4*4*4*4*4*4=4^6 ways.
Answer: C.
The total number of ways of dividing n identical items among r persons, each one of whom, can receive 0,1,2 or more items is (n+r -1)C(r-1).
The answer is: C
|
C
|
mathematics
|
Find the angle between the hour and the minute hand of a clock when the time is 3.25.
|
[
"47 ½",
"49 ½",
"55 ½",
"57 ½",
"None"
] |
Solution
Angle traced by the hour hand in 12 hours = 360°.
Angle traced by it in 3 hrs 25 min = 41 / 12 hrs
= (360 / 12 x 41 / 12)°
= 102 ½°.
Angle traced by minute hand in 60 min = 360°.
Angle traced by it in 25 min. = (360/ 60 x 25)°
= 150°
Required angle = (150- 102 ½°)
= 47 ½°.
Answer A
The answer is: A
|
A
|
mathematics
|
The concentration of spirit in three different vessels A, B and C are 45%, 30% and 10% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
|
[
"26%",
"33%",
"34%",
"35%",
"24%"
] |
Quantity of spirit in new solution=(4*45/100)+(5*30/100)+(6*10/100)=1.8+1.5+0.6=3.9 liters
So % concentration of spirit=100*3.9/(4+5+6)=26%
ANSWER:A
The answer is: A
|
A
|
mathematics
|
In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,5) and (t,-8). What is the least possible value of the slope of line L?
|
[
"-6.5",
"2",
"-2",
"-6",
"-10"
] |
We need to find out the value of p and L to get to the slope.
Line L and Graph y intersect at point (p,5). hence, x= p and Y=5 should sactisfy the graph. soliving
5 = -p2 +9
p2 = 4
p = + or - 2
simillarly point (t,-8) should satisfy the equation. hence x=t and Y=-8.
-7 = -t2+9
t = +or - 4
considering p = -2 and t =4, the least slope is (-8-5)/(4-2) = -6.5
IMO option A is correct answer.
The answer is: A
|
A
|
mathematics
|
Two trains of length 150 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
|
[
"100/7 sec",
"80/7 sec",
"57/7 sec",
"110/7 sec",
"50/7 sec"
] |
Relative speed = (54 + 72)* 5/18 = 7 * 5 = 35 mps.
The time required = d/s = (150 + 100 + 300)/35
= 550/35 = 110/7 sec.
ANSWER:D
The answer is: D
|
D
|
mathematics
|
By approximately what percent is x greater than 4/7 if (1/7)(x) = 1?
|
[
"1125%",
"956%",
"417%",
"3788%",
"219%"
] |
what percent is x greater than 4/7 if (1/7)(x) = 1?
=> x = 7
% change =[(7 -4/7) /(4/7) ] * 100
= (49/4 - 1) *100
= 45 * 25
=1125%
Ans ,A
The answer is: A
|
A
|
mathematics
|
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 14,000 after 3 years at the same rate?
|
[
"2372",
"4634",
"4542",
"2343",
"3972"
] |
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = 100 x 60 = 10% p.a.
100 x 6
Now, P = Rs. 14000. T = 3 years and R = 10% p.a.
C.I.
= Rs. 14000 x 1 + 10 3 - 1
100
= Rs. 14000 x 331
1000
= 4634.
B
The answer is: B
|
B
|
mathematics
|
The largest four digit number which is a perfect cube, is:
|
[
"7000",
"8000",
"9261",
"9999",
"None of these"
] |
Explanation:
21*21*21 = 9261
Option C
The answer is: C
|
C
|
mathematics
|
A certain sum of money doubles itself in 20 years in how much many years will it trible itself at the same rate?
|
[
"20 years",
"76 years",
"88 years",
"40 years",
"11 years"
] |
100 ---- 100 --- 20
100 --- 20
--------------------
300 ---- 40 years
Answer: D
The answer is: D
|
D
|
mathematics
|
The radius of a wheel is 22.6 cm. What is the distance covered by the wheel in making 750 resolutions?
|
[
"754 m",
"704 m",
"1055.04 m",
"1058.04 m",
"204 m"
] |
In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 750 resolutions.
= 750 * 2 * 22/7 * 22.6 = 105504 cm
= 1055.04 m
Answer:C
The answer is: C
|
C
|
mathematics
|
One red flower, three white flowers and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same colour.
II. The flowers at the two ends of the line are of different colours.
In how many different ways can the flowers be arranged?
|
[
"6",
"4",
"10",
"12",
"14"
] |
The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.
ANSWER:A
The answer is: A
|
A
|
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 68 years now, the son's age five years back was:
|
[
"14",
"17",
"19",
"29",
"24"
] |
Let the son's present age be x years. Then, (68 - x) = x
2x = 68.
x = 34.
Son's age 5 years back (34 - 5) = 29 years.
answer :D
The answer is: D
|
D
|
mathematics
|
Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of 33 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take?
|
[
"70",
"110",
"100",
"120",
"150"
] |
let e10 =x no. d10 =y no. donald is having x+y notes mona carries 3x+y again x =2y or donald x+y =33
or 3y =33 y =11 ;x =22 , total notes they carry = 4x+2y = 88+22 =110
B
The answer is: B
|
B
|
mathematics
|
If one of the followings is the product of the two 3-digit integers 8L7 and 6K9 (K and L denote the tens digit of the respective integers), then that product must be
|
[
"511,913",
"478,823",
"531,875",
"538,424",
"569,114"
] |
To know the unit digit you can multiply both digit number: 7 x 9 = 63
This eliminates C, D, and E, because the number must end with a 3
To know the answer you can multiply both the thousand digit giving 8 x 6 = 48 so the number must be bigger than 480.000.
So the answer is A
The answer is: A
|
A
|
mathematics
|
The area of a triangle is with base 2m and height 5m?
|
[
"11",
"10",
"787",
"122",
"5"
] |
1/2 * 2 * 5 = 5 m2
Answer: E
The answer is: E
|
E
|
mathematics
|
A train is moving at a speed of 75km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
|
[
"30sec",
"45sec",
"36sec",
"24sec",
"52sec"
] |
Speed of the train = 75*5/18 = 125/6 m/sec
Distance moved in passing the standing man = 500m
Required time taken = 500/(125/6) = 24sec
Answer is D
The answer is: D
|
D
|
mathematics
|
A man buys a cycle for Rs. 1400 and sells it at a loss of 20%. What is the selling price of the cycle?
|
[
"s. 1090",
"s. 1120",
"s. 1190",
"s. 1202",
"s. 1204"
] |
since,c.p=1400
loss%=(c.p-s.p)/c.p*100
20=(1400-s.p)/1400*100
so,after solving answer=1120.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The perimeter of a rectangular yard is completely surrounded by a fence that measures 14 meters. What is the length of the yard if the area of the yard is 6 meters squared?
|
[
"8",
"6",
"2",
"4",
"3"
] |
Perimeter of rectangular yard = 2(l + b) = 14 --> l + b = 7
Area = l * b = 6
b = 7 - l
l(7 - l) = 6
7l - l^2 = 6
l^2 - 7l + 6 = 0
Upon simplifying we get l = 1 or 6. Only 6 is there in the answer choice.
Answer: B
The answer is: B
|
B
|
mathematics
|
How many three digit numbers contain the digit 5 at least once?
|
[
"52",
"128",
"252",
"648",
"900"
] |
The question is basically asking how many numbers between 100-999 contain at least one digit as 5.
Let ABC be a 3 digit number A can be filled with 9 digits, B can be filled with 10 digits and C can be filled with 10 digits. (because hundredth digit can only be between 1-9= 9 digits)
Therefore total number of ways we can form 3 digit number=9*10*10=900 ways (100-999)
Number of ways we can form a 3 digit number without the digit 5= 8*9*9= 648 ways
ANSWER:D
The answer is: D
|
D
|
mathematics
|
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
|
[
"7.19",
"7.18",
"7.16",
"7.15",
"7.12"
] |
T = (121 + 165)/ (80 + 65) * 18/5
T = 7.15
Answer: D
The answer is: D
|
D
|
mathematics
|
If 1 > 1 - ab > 0, which of the following must be true?
I. a/b < 1
II. a/b > 0
III. ab < 1
|
[
"I only",
"II only",
"III only",
"II and III only",
"I and III only"
] |
MANHATTAN GMATOFFICIAL SOLUTION:
You can manipulate the original compound inequality as follows, making sure to perform each manipulation on every term:
1 > 1 - ab > 0
0 > -a b > -1 Subtract 1 from all three terms.
0 < ab < 1 Multiply all three terms by -1 and flip the inequality signs.
Therefore you know that 0 < ab < 1. This tells you that ab is positive, so a/b must be positive (a and b have the same sign). Therefore, I must be true. However, you do not know whether a/b < 1, so II is not necessarily true. But you do know that ab must be less than 1, so III must be true.
Therefore, the correct answer is (D).
The answer is: D
|
D
|
mathematics
|
What is the next number of the following sequence
1,3,4,5,6,7,1,9,16,25,36,...
|
[
"14",
"15",
"16",
"17",
"49"
] |
(1, 3 ,4, 5, 6, 7) (1, 9, 16, 25, 36, x)
square of 1st group gives 2nd group
1^2 = 1
3^2 = 9
4^2 = 16
5^2 =25
6^2 =36
7^2 = 49
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The compound ratio of 5:6, 3:2 and 4:5?
|
[
"1:5",
"1:8",
"1:2",
"1:1",
"1:9"
] |
5/6 * 3/2 * 4/5
= 1/1
1:1
Answer:D
The answer is: D
|
D
|
mathematics
|
A bowl contains many kinds of fruit. In the bowl there are twice as many apples then there are bananas, and three times as many oranges as bananas. If the total number of pieces of fruit is X, then how many apples are in the bowl as a fraction of X
|
[
"X/2",
"X/3",
"2*X",
"X/6",
"X/4"
] |
Since X is the total number of fruit: X = apples + bananas + oranges.
Since there are three times as many oranges as bananas then 1*orange = 3*bananas
Thus X = apples + bananas + (3*bananas); which simplifies to X = apples + 4*bananas
Since there are twice as many apples as bananas then 1*apple = 2*bananas; which converts to bananas=apple/2
Thus X = apples + 4*(apples/2); which simplifies to X = 2*apples.
Thus apples = X/2
Answer: A
The answer is: A
|
A
|
mathematics
|
A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?
|
[
"2 1⁄4 hours",
"4 1⁄2 hours",
"4 hours 5 minutes",
"Cannot be determined",
"None of these"
] |
Distance covered in first two hours = 70 × 2 = 140 km
Distance covered in next two hours = 80 × 2 = 160 km
Distance covered in first four hours
140 + 160 = 300 km
Remaining distance = 345 – 300 = 45 km.
Now, this distance will be covered at the speed of 90 km/hr.
∴ Time taken = 45⁄90 = 1⁄2 hour.
Total time= 4 + 1⁄2 = 41⁄2 hour
Answer B
The answer is: B
|
B
|
mathematics
|
A can do a work in 60days and B in 12 days.Then A and B together do the work in,how many days?
|
[
"5 days",
"4 days",
"10 days",
"2 days",
"6 days"
] |
Explanation:
A's 1day's work = 1/60
B's 1day's work = 1/12
They work together = 1/60 + 1/12 = 10 days
Answer: Option C
The answer is: C
|
C
|
mathematics
|
In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race?
|
[
"180 sec",
"190 sec",
"290 sec",
"490 sec",
"240 sec"
] |
Time taken by B run 1000 meters = (1000 * 10)/40
= 250 sec.
Time taken by A = 250 - 10
= 240 sec.
Answer:E
The answer is: E
|
E
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.