subject
stringclasses 1
value | question
stringlengths 3
1.14k
| options
listlengths 5
5
| solution
stringlengths 18
3.7k
| answer
stringclasses 5
values |
|---|---|---|---|---|
mathematics
|
Because of the economic slowdown, a multinational company curtailed some of the allowances of its employees. John, the marketing manager of the company whose monthly salary has been reduced to Rs.42,000 is unable to cut more on his expenditure. He finds that there is a deficit of Rs.2,000 between his earning and expenses in the first month. This deficit, because of inflationary pressure, will keep on increasing by Rs.500 every month. John has a saving of Rs 60,000 which will be used to fill the deficit. After his savings get exhausted, John would start borrowing from his friends. How soon will he start borrowing?
|
[
"12th months",
"11th months",
"10th months",
"8th months",
"13th months"
] |
Let the Rashid 's savings will last till 'nn' months.
⇒n2[2×2000+(n−1)500]=60,000⇒n2[2×2000+(n−1)500]=60,000
[Expenditure every month increases by 500 rupees]
⇒n2+7n−200=0⇒n2+7n−200=0
n=12.38n=12.38
⇒ Rashid after Kartik's mother asked him to get the vegetables, milk and butter from the market and gave him the money in the denominator of 1 Rupee, 2 Rupee and 5 Rupee coins.
Kartik first goes to the grocery shop to buy vegetables. At the grocery shop he gives half of his 5 Rupee coins in return receives the same number of 1 Rupee coins.
Next he goes to the dairy shop to buy milk and butter and gives all 2 Rupee coins and in return get thirty 5 Rupee coins, which increase the number of five rupee coins by 75% more than the original number.
If the number of 1 rupee coins now is 50, the number of 1 rupee and 5 rupee coins originally were will start borrowing money from his friends.
E
The answer is: E
|
E
|
mathematics
|
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
|
[
"230",
"240",
"250",
"260",
"270"
] |
Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 270)/9 = 500/9 => x = 230.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 11. What is the last numbers?
|
[
"2",
"4",
"6",
"5",
"7"
] |
A + B + C = 48
B + C + D = 45
A + D = 11
A – D = 3
A + D = 11
2D = 8
D = 4
ANSWER B
The answer is: B
|
B
|
mathematics
|
A group of 3 CEOs and 2 employees recently frequented the Bohemian Ala Restaurant. The total bill for the meal, including 20% gratuity, came to $600. On average, how much did the meal of each individual cost before gratuity?
|
[
"$160",
"$96",
"$90",
"$10",
"$55"
] |
3 CEOs and 2 employees - so total 5 people
The bill $600 includes 20% gratuity... so the actual cost of dinner was $500
Now, the cost per person will be $500/5 which is $10
Option D
The answer is: D
|
D
|
mathematics
|
For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <4>*<2>?
|
[
"60",
"116",
"360",
"263",
"478"
] |
Since <x>=2x+(2x-1)+(2x-2)+......2+1=1+2+..+(2x-2)+(2x-1)+2x then<x> is basically the sum of all integers from 1 to 2x, inclusive.
Hence <4> is the sum of all integers from 1 to 2*4=8 and <2> is the sum of all integers from 1 to 2*2=4 --> <4>=36 and <2>=10 --> <3>*<2>=36*10=360.
Answer: C.
The answer is: C
|
C
|
mathematics
|
Louie takes out a three-month loan of $1000. The lender charges him 20% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
|
[
"A)333",
"B)383",
"C)402",
"D)438",
"E)478"
] |
Here's the calculation for that case, assume monthly payment is X.
After 1st month: (1000)(1.2)-X = 1200-X
After 2nd month: (1200-X)(1.2)-X = 1440-2.21X
After 3rd month: (1440-2.21X)(1.2)-X = 1584-3.31X
Now, the amount after the last payment in 3rd month must bring the total to 0. Hence:
1584-3.31X = 0
X = 1584/3.31 = 478.54
Answer E
The answer is: E
|
E
|
mathematics
|
In an increasing sequence of 8 consecutive integers, the sum of the last 4 integers is 822. What is the sum of the first 4 integers in the sequence?
|
[
"800",
"808",
"806",
"802",
"804"
] |
Solution:
In solving this problem we must first remember that when we have 8 consecutive integers we can display them in terms of just 1 variable. Thus, we have the following:
Integer 1: x
Integer 2: x + 1
Integer 3: x + 2
Integer 4: x + 3
Integer 5: x + 4
Integer 6: x + 5
Integer 7: x + 6
Integer 8: x + 7
We are given that the sum of the first 4 integers is 570. This means that:
x+7+ x+6 + x+5 + x+4 = 822
4x + 22 = 822
4x = 800
x = 200
The sum of the last 4 integers can be expressed and simplified as:
x+ x+1 + x+2+ x+3 = 4x + 6
Substituting 141 for x yields:
(4)(200) + 6 = 806
Answer: C
The answer is: C
|
C
|
mathematics
|
fill in ht blank:
(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,
(b) to find the x-intercept of a line, we let ___ equal 0 and solve for ___; to find y- intercept , we let ____ equal 0 and solve for___
|
[
"(a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for y ; to find y- intercept , we let y equal 0 and solve for y; to find y- intercept , we let x equal 0 and solve for x",
"(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for x ; to find y- intercept , we let y equal 0 and solve for y",
"(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y",
"(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for y ; to find y- intercept , we let y equal 0 and solve for x",
"none of the above"
] |
(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y
correct answer (C)
The answer is: C
|
C
|
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?
|
[
"A)150m",
"B)170m",
"C)180m",
"D)70m",
"E)350m"
] |
Length of the train be ‘X’
X + 170/15 = X + 250/20
4X + 680 = 3X + 750
X = 70m
Answer: D
The answer is: D
|
D
|
mathematics
|
Company T produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company T last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
|
[
"5/17",
"7/17",
"4/17",
"3/17",
"5"
] |
# of basic stereos was 2/3 of total and # of deluxe stereos was 1/3 of total, let's assume total=15, then Basic=10 and Deluxe=5.
Now, if time needed to produce one Deluxe stereo is 1 unit than time needed to produce one Basic stereo would be 7/5 units. Total time for Basic would be 10*1=10 and total time for Deluxe would be 5*7/5=7 --> total time for both of them would be 10+7=17 --> deluxe/total=7/17.
B
The answer is: B
|
B
|
mathematics
|
The product of all the prime numbers less than 30 is closest to which of the following powers of 10 ?
|
[
"10^9",
"10^8",
"10^7",
"10^6",
"15*10^5"
] |
2*3*5*7*11*13*17*19
2*19*3*17*5*13*7*11
38*51*65*77
By approximation
40*50*70*70
2000*4900
By approximation
3000*5000
1,500,000
E
The answer is: E
|
E
|
mathematics
|
Mary is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of white, 3 morsels of wheat, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Mary drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
|
[
"rye − white − white",
"white − white − wheat",
"wheat − rye − white",
"wheat− wheat − wheat",
"wheat − wheat− rye"
] |
In a single round Mary drops 6 morsels.
Remainder (2000/6) = 2
Final action = 2 drops of Wheat --> Options B, C, D and E can be eliminated
Answer: A
The answer is: A
|
A
|
mathematics
|
The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 40. Then find the average for the last four matches?
|
[
"37.25",
"33.5",
"34.25",
"35",
"none"
] |
Solution
Required average =(38.9 x 10)-(40 x 6)/ 4
= 149 / 4.
= 37.25
Answer A
The answer is: A
|
A
|
mathematics
|
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
|
[
"1261",
"1262",
"2686",
"2687",
"2676"
] |
A = 8000(21/20)3
= 9261
= 8000
---------
1261
Answer:A
The answer is: A
|
A
|
mathematics
|
Ron begins reading a book at 2: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
|
[
"7: 00 p.m.",
"7: 30 p.m.",
"10: 45 p.m.",
"11: 30 p.m.",
"11: 45 p.m."
] |
M gains 50-30=20 pages per hour on R
at 6pm R has read 105 pages and M is 105+5=110 pages behind him
time=110/20=5.5 hours
they are on the same page at 11:30pm
D
The answer is: D
|
D
|
mathematics
|
The average of 9 observations was 6, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
|
[
"36",
"12",
"15",
"17",
"18"
] |
Explanation:
1 to 9 = 9 * 6 = 54
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 54 = 36
Option A
The answer is: A
|
A
|
mathematics
|
Which of the following numbers doesn't belong to the group?
|
[
"14",
"16",
"20",
"28",
"36"
] |
All of the numbers are multiples of 2. But only one is not a multiple of 4: 14.
Answer: 14
The answer is: A
|
A
|
mathematics
|
If X = the product of seven distinct prime numbers, how many factors does X have besides 1 and itself?
|
[
"108",
"114",
"120",
"126",
"132"
] |
Since X has 7 distinct prime factors, X has a total of 2^7 = 128 factors.
Besides 1 and itself, X has 126 factors.
The answer is D.
The answer is: D
|
D
|
mathematics
|
Max left from a Pvt Company. Management hold his salary Rs. 35000/- for one month. Earlier Robert borrowed Rs. 17280/- from company. But Robert forgot that. After one month Robert asked his salary and accountant gives Rs.28500/- to him. What is the incentive amount given to Robert?
|
[
"A)9500",
"B)12500",
"C)10780",
"D)10500",
"E)8600"
] |
Total Salary = Rs.35000/-
Borrowed Money = 17280/-
Balance Salary = 35000-17280= 17720
Paid amount = 28500/-
Incentive amount = 28500-17720 = 10780/-
Answer is C
The answer is: C
|
C
|
mathematics
|
Find the value of 72519 x 9999 = m.
|
[
"233243413",
"354545451",
"343435451",
"565656767",
"725117481"
] |
72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
E
The answer is: E
|
E
|
mathematics
|
In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = 8?
|
[
"-1",
"6",
"10",
"14",
"20"
] |
We know that t1 = 23
So, using the given formula we have:
t1=(t1-1) -3 =23
t0 - 3 = 23
t0= 26
The same way we find that t2= 20
It seems that the sequence goes like this:
t0 = 26
t1 = 23
t2 = 20
t3 = 17
t4 = 14
t5 = 11
t6 = 8
So, ourANS is B.
The answer is: B
|
B
|
mathematics
|
What is the area of an equilateral triangle whose one side length is 70?
|
[
"825√3",
"925√3",
"1025√3",
"1125√3",
"1225√3"
] |
-> The area of an equilateral triangle with one side length of a is √3a2/4. Thus, √3(70^2)/4=1225√3 and the answer is E.
The answer is: E
|
E
|
mathematics
|
A invested Rs. 76,000 in a business. After few months, B joined him Rs. 57,000. At the end of the year, the total profit was divided between them in ratio 2 : 1. After bow many months did B join?
|
[
"4",
"3",
"2",
"1",
"None of them"
] |
Suppose B joined after x months. Then, B's money was invested for (12 - x)
=(76000 x 12)/(57000 x (12-x) =2/1 =912000=114000(12-x)
=114 (12 - x) = 912=12-x=8=x=4
Hence, B joined after 4 months
Answer is A.
The answer is: A
|
A
|
mathematics
|
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 180 runs and his average excluding these two innings is 58 runs, find his highest score.
|
[
"179",
"194",
"269",
"177",
"191"
] |
Explanation:
Total runs scored by the batsman = 60*46 = 2760 runs
Now excluding the two innings the runs scored = 58*44 = 2552 runs
Hence the runs scored in the two innings = 2760 – 2552 = 208 runs.
Let the highest score be x, hence the lowest score = x – 180
x + (x - 180) = 208
2x = 388
x = 194 runs
ANSWER: B
The answer is: B
|
B
|
mathematics
|
Two trains are moving in the same direction at 54 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
|
[
"135",
"277",
"187",
"257",
"271"
] |
Relative speed = (54 - 36) * 5/18 = 5 mps.
Distance covered in 27 sec = 27 * 5 = 135 m.
The length of the faster train = 135 m.
Answer: A
The answer is: A
|
A
|
mathematics
|
In how many ways can the letters of the word 'LEADER' be arranged ?
|
[
"360",
"72",
"144",
"760",
"280"
] |
The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
∴ Required number of ways = 6!/(1!)(2!)(1!)(1!)(2!) = 360.
Answer is A
The answer is: A
|
A
|
mathematics
|
Find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm.
|
[
"81",
"91",
"99",
"108",
"111"
] |
AB² = AC² - BC²
= 15² - 12²
= 225 - 144
= 81
ANSWER :OPTION A
The answer is: A
|
A
|
mathematics
|
X and Y run a 100m race,where X beats Y by 20 m. To do a favor to Y, X starts 10m behind the starting line in a second 100m race. Both run at the same previous speed. Which of the following is true?
|
[
"X Beats Y by 2m",
"X Beats Y by 0.5 m",
"X Beats Y by 4 m",
"X Beats Y by 4 m",
"Y Beats X by 10m"
] |
Let's suppose that the speed of X is 10m/s and that the speed of Y is 8 m/s.
So, in the first race, the results are the following:
X crosses the finish line in 10s. In other words, X has run 100m in 10 s.
In 10s, Y has run 80 meters.
Therefore, there is the difference of 20 meters mentioned in the question.
Now, let's review the second race.
In 12 seconds, X can complete the 100 meters race. We have to remember that X is 4 meters behind the starting line.
But in 12 seconds, Y has covered (96 ) =96 meters. Also, it is important to notice that in 12 seconds Y cannot arrive to the finish line.
So, 100 - 96 = 4 meter
Answer: D
The answer is: D
|
D
|
mathematics
|
In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
|
[
"10",
"20",
"30",
"43",
"50"
] |
His height was = 5 feet 5 inch = 5 + 60 = 65 inch. Required % correction =65*(1.25-1)* 100 = 20
B
The answer is: B
|
B
|
mathematics
|
In a dairy farm, 45 cows eat 45 bags of husk in 45 days. In how many days one cow will eat one bag of husk ?
|
[
"34 days",
"45 days",
"46 days",
"50 days",
"None of these"
] |
Explanation:
Less Cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
[Cows1 45
Bags 45 1]::45:x
=>x∗45∗1=45∗1∗45
=>x=45
Option B
The answer is: B
|
B
|
mathematics
|
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 4 minutes?
|
[
"36",
"54",
"108",
"216",
"324"
] |
Direct Relationship:-
1 standard Veggiematik machine - 36 Carrots - 4 minutes,
1 standard Veggiematik machine - 9 Carrots - 1 minute,
Now
6 standard Veggiematik machine - ? Carrots - 4 minutes,
Hence = 9X6X4 =216 Carrots
Answer D
The answer is: D
|
D
|
mathematics
|
There are some goats in James farm. If they don't die for any reason James can make new farm in 6 years with baby goat and older goats. But goats die for many reason, if no baby goats are born the farm will be empty in 12 years. If new babies are born and older die in same time , how many time needed for make a new farm?
|
[
"10",
"15",
"5",
"12",
"20"
] |
Goats die in every year = 1/12
Goats born in every year = 1/6
Total growth in every year = 1/6 - 1/12 = 1/12
So James can make a new farm in = 12 years
ANSWER:D
The answer is: D
|
D
|
mathematics
|
What are the last two digits of (301*402*503*604*645*547*448*349)^2
|
[
"96",
"76",
"56",
"36",
"00"
] |
((301*402*503*604*645)*(547*448*349))^2
If you observe above digits, last digit are: 1,2,3,4,5,7,8,9; 6 is missing; so I have rearranged them so that multiplication will be easy for me as initial 4 digits have last two digits as 01,02,03,04,45 and final three as 47*48*49.
Solving for only last two digits and multiplying them we get:( (06*04*45)(56*49))^2 = (00*44)^2=00^2=00
Hence answer is E
The answer is: E
|
E
|
mathematics
|
0.002 x 0.6 = ?
|
[
"0.0012",
"0.001",
"0.01",
"0.1",
"NONE OF THESE"
] |
Explanation:
2 x 6 = 12.
Sum of decimal places = 4
0.002 x 0.6 = 0.0012
Answer- A
The answer is: A
|
A
|
mathematics
|
Out of five consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
|
[
"800",
"1000",
"1200",
"1600",
"2400"
] |
5C2 x 3C3 x 5! = 1200
The answer is C.
The answer is: C
|
C
|
mathematics
|
Evaluate 2+22+222+2.22
|
[
"269.72",
"268.22",
"248.21",
"248.22",
"268.21"
] |
2+22+222+2.22=248.22
Option D
The answer is: D
|
D
|
mathematics
|
Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
|
[
"22",
"24",
"25",
"26",
"27"
] |
Explanation: In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
The cost price of a radio is Rs.1500 and it was sold for Rs.1200, find the loss %?
|
[
"18",
"16",
"26",
"17",
"20"
] |
Explanation:
1500 ---- 300
100 ---- ? => 20%
Answer:E
The answer is: E
|
E
|
mathematics
|
John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
|
[
"1",
"3",
"5",
"6",
"9"
] |
If he draws any combination of 3 socks he will definitely have the matching pair of either colour.
A
The answer is: A
|
A
|
mathematics
|
On a track for remote controlled racing cars, racing car A completes the track in 59 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again.
|
[
"275",
"325",
"2065",
"425",
"None of these"
] |
Time required in seconds will be LCM ( 35, 59 ) = 2065
Hence, answer will be (C) 2065
The answer is: C
|
C
|
mathematics
|
a is what percent of b percent of c, in terms of a, b and c?
|
[
"10^4*a/bc",
"abc",
"bc*10^4",
"1/abc",
"abc/1000"
] |
Algebraically, b% of c is just (b/100)*c, or bc/100. So we want to answer the question: a is what percent of bc/100? Say a is equal to m% of bc/100; then we have:
a = (m/100)*(bc/100)
10,000a/bc = m
A
The answer is: A
|
A
|
mathematics
|
The simple interest on Rs.13000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
|
[
"3052.82",
"3039.89",
"3052.85",
"3039.51",
"3039.82"
] |
R = 100 I / PT
=> R = (100 * 7200)/ (13000 * 5) = 11.07%
CI = P{ [1 + R /100]n - 1}
= 13000 { [ 1 + 11.07 / 100]^2 - 1} = Rs.3039.51
Answer:D
The answer is: D
|
D
|
mathematics
|
Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 11?
|
[
"13",
"16",
"18",
"19",
"22"
] |
A. 13 (cannot be weighed)
B. 15 (can be weighed by keeping weights of 11,4 and 1 kg)
C. 17 (can be weighed by keeping weights of 11 and 7 kg)
D. 19(can be weighed by keeping weights of 11, 7 and 1kg )
E. 21 (can be weighed by keeping weights of 11, 7 and 4 kg)
A
The answer is: A
|
A
|
mathematics
|
What is the ratio G of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
|
[
"1/4",
"3/8",
"1/2",
"3/5",
"2"
] |
One side surface area of a cube = x*x = x^2
Total 6 sides = 6x^2
As for the rectangular, Height (H) and Width (W) are same as Cube, x. Only Length = 2x.
L x H = 2x * x = 2x^2 ----> 4 sides = 2x^2 * 4 = 8x^2
W * H = x * x = x^2 ------> 2 sides = x^2 * 2 = 2x^2
Total 6 sides = 8x^2 + 2x^2 = 10x^2
Ratio of cube area to rectangular area G= 6x^2 / 10x^2 ----> 6/10 ----> 3/5 (D)
The answer is: D
|
D
|
mathematics
|
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire
rest of the car, then the share of each of the remaining persons increased by ?
|
[
"1/9",
"1/8",
"1/7",
"7/8",
"8/7"
] |
When there are eight people, the share of each person is 1/8th the total cost
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1800. What is their H.C.F.?
|
[
"10",
"20",
"30",
"40",
"50"
] |
Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x
60x = 1800
x = 30
The numbers are (3 x 30), (4 x 30) and (5 x 30).
The H.C.F. is 30.
The answer is C.
The answer is: C
|
C
|
mathematics
|
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
|
[
"228",
"288",
"27",
"200",
"881"
] |
Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.Answer:D
The answer is: D
|
D
|
mathematics
|
3x^2-6x+3 = 0 Find the above equation find the value of x
|
[
"0",
"1",
"3",
"4",
"5"
] |
a = 3, b = -6, c = 3
x1,2 = (6 ± √( (-6)2 - 4×3×3)) / (2×3) = (6 ± √(36-36)) / 6 = (6 ± 0) / 6
x1 = x2 = 1
B
The answer is: B
|
B
|
mathematics
|
A man engaged a servant on the condition that he would pay him Rs.900 and auniform after 1year service. He served only for 9months and received uniform and Rs.650, find the price of the uniform?
|
[
"Rs.80",
"Rs.100",
"Rs.120",
"Rs.145",
"Rs.156"
] |
9/12 = 3/4 * 900 = 675
650
-------------
25
1/4 -------- 25
1 --------- ? => Rs.100
B
The answer is: B
|
B
|
mathematics
|
If 7 persons can do 7 times of a particular work in 7 days, then, 9 persons can do 9 times of that work in
?
|
[
"3 days",
"8 days",
"9 days",
"11 days",
"7 days"
] |
That is, 1 person can do one time of the work in 7 days.
Therefore, 9 persons can do 9 times work in the same 7 days itself.
Option 'E'
The answer is: E
|
E
|
mathematics
|
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
|
[
"2,145",
"6,435",
"12,100",
"12,870",
"25,740"
] |
Total 3 letter passwords = 26 * 25 * 24 = 15600
Total letters = 26 = symmetrical letters (11) + asymmetrical letters (x) => x = 15
Total no. of 3 letters passwords using asymmetrical letters = 15 * 14 * 13 = 2730 (no repetition allowed)
Hence, no. of 3 letter passwords using atleast one symmetrical letter = 15600 - 2730 = 12870 ---> Option D
The answer is: D
|
D
|
mathematics
|
The difference between two numbers 1365.When the larger
number is divided by the smaller one the quotient is 6 and
the remainder is 15.The smaller number is?
|
[
"270",
"170",
"230",
"130",
"420"
] |
Let the smaller number be x, then larger number =1365+x
Therefore 1365+x=6x+15
5x=1350 => x=270
Required number is 270.
ANSWER A 270
The answer is: A
|
A
|
mathematics
|
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
|
[
"55 Kmph",
"60 Kmph",
"65 Kmph",
"70 Kmph",
"80 Kmph"
] |
Time = 6
Distence = 540
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 540/9 = 60 Kmph
B)
The answer is: B
|
B
|
mathematics
|
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) – (10x + z) could be equal to
|
[
"32",
"36",
"45",
"64",
"65"
] |
1) firstly we are not given that all are different integers..
2) since each is a positive single digit integer and x=a/4... a can take only 4 and 8 as value, and x can take 1 and 2..
3) same as 2) for b and z.
so in (10a + b) – (10x + z) ..
10a+b can be
44,48,84,88..
10x+z can be
11,12,21,22..
Ans :B
The answer is: B
|
B
|
mathematics
|
there are 35 student in a school. 20 if them speek hindi 19 of them speak eng 9 of them speak both , then how many student neithe speak eng nor speak hindi
|
[
"28",
"30",
"32",
"35",
"None of these"
] |
Total Number of Students = 35
No of Hindi Speaking Students (H) = 20
No of English Speaking Students (E) = 19
H intersection E = 9
thus H union E = 20 + 19 - 9 = 30
thus Number of student neithe speak eng nor speak hindi = 35 - 30 = 5
ANSWER:E
The answer is: E
|
E
|
mathematics
|
At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
|
[
"5%",
"4%",
"2%",
"6%",
"7%"
] |
Let sum = x. Then, S.I. = 2x/5, Time = 20 years.
Rate = (100 * 2x) / (x * 5 * 20) = 2%
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Find the area of circle whose radius is 7m?
|
[
"121 sq m",
"184 sq m",
"174 sq m",
"124 sq m",
"154 sq m"
] |
the area of circle =pie* r^2
=22/7 * 7 * 7 = 154 sq m
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother
|
[
"40",
"41",
"42",
"43",
"44"
] |
Option C
The answer is: C
|
C
|
mathematics
|
The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre.
|
[
"2399",
"3888",
"2999",
"5808",
"2888"
] |
Explanation:
Area = (13.86 x 10000) sq.m = 138600 sq.m
Circumference =
Cost of fencing = Rs. (1320 x 4.40) = Rs. 5808.
Answer: D) 5808
The answer is: D
|
D
|
mathematics
|
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 2 * 9 =?
|
[
"65",
"68",
"72",
"23",
"77"
] |
(9 * 2) + 5 = 23
D
The answer is: D
|
D
|
mathematics
|
Two watches are set for an alarm at 10 0'clock in the night. One watch gains 2 minutes per hour. When the faster watch shows 4:12 in the morning when the alarm rings what does the correct watch show?
|
[
"5:00",
"4:00",
"4:10",
"5:20",
"6:00"
] |
The faster watch gains 2 minutes per hour
The two watches show 10:00 at 10 0'clock
At 11 0'clock -
The correct watch is at 11:00
The faster watch is at 11:02 (1 hour + gains 2 minutes per hour)
At 12 midnight -
The correct watch is at 12:00
The faster watch is at 12:04 ( 2 hours + gains 4 minutes per 2 hours)
In 6 hours the faster watch gains 6*2 = 12 minutes and is at 4:12 and the correct watch is at 4:00
Answer is B
The answer is: B
|
B
|
mathematics
|
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
|
[
"10%",
"10.25%",
"10.5%",
"11 %",
"None of these"
] |
Let the sum be Rs. 100. Then,
S.I. for first 6 months = Rs.((100 x 10 x 1)/(100 x 2)) = Rs. 5
S.I. for last 6 months = Rs.((105 x 10 x 1)/ (100 x 2))= Rs. 5.25
So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25
Effective rate = (110.25 - 100) = 10.25%
Answer : B
The answer is: B
|
B
|
mathematics
|
How many liters of water must be evaporated from 50 liters of a 8-percent sugar solution to get a 10-percent solution?
|
[
"8",
"10",
"12",
"14",
"16"
] |
8% of a 50 liter solution is 4L which is 10% of the solution at the end.
The solution at the end must be 40 L.
We need to evaporate 10 liters.
The answer is B.
The answer is: B
|
B
|
mathematics
|
If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 11/15 Find P(A|B)
|
[
"11/4",
"2/3",
"3/2",
"4/5",
"4/7"
] |
P(A|B) = P(A ∪ B)/P(B)
P(A|B) = (11/15)/(4/15) = 11/4.
A
The answer is: A
|
A
|
mathematics
|
Which of the following describes all values of x for which 25-x^2 ≥ 0 ?
|
[
"x ≥ 1",
"x ≤ -1",
"0 ≤ x ≤ 1",
"x ≤ -1 or x ≥ 1",
"-5 ≤ x ≤ 5"
] |
25-x^2 >= 0 ---> x^2-25<=0
--> (x+5)(x-5)<=0
Above equation true for
i) x+5<=0 and x-5>=0 ---> x<= -5 and x>=5 ---> this is not possible ---Strike out this solution
ii) x+5>=0 and x-5<=0 ---> x>=-5 and x<=5 --> -5<=x<=5
Answer E
The answer is: E
|
E
|
mathematics
|
A train is 360 meter long is running at a speed of 52 km/hour. In what time will it pass a bridge of 140 meter length.
|
[
"24.62 seconds",
"34.62 seconds",
"44.62 seconds",
"54.62 seconds",
"None of these"
] |
Explanation:
Speed = 52 Km/hr = 52*(5/18) m/sec
= 130/9 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
=500/130/9=34.62 seconds
Answer: B
The answer is: B
|
B
|
mathematics
|
A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 7 volts, what was the smallest possible recording in volts?
|
[
"2",
"3",
"4",
"5",
"6"
] |
if average of 3 is 7 so sum of 3 should be 21
3 recording can be from 0-10 inclusive
to find one smallest other two should be highest
so, lets assume three var are a,b,c
say a is smallest and give b and c greatest readings say 9 and 9
so a has to be 3
B
The answer is: B
|
B
|
mathematics
|
Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
|
[
"22",
"77",
"72",
"88",
"21"
] |
Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (240 + 240)/12 => x = 20
Speed of each train = 20 m/sec.
= 20 * 18/5 =- 72 km/hr.Answer: C
The answer is: C
|
C
|
mathematics
|
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
|
[
"20",
"24",
"27",
"28",
"30"
] |
(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131
a + b + c = √400 = 20
A
The answer is: A
|
A
|
mathematics
|
There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
|
[
"5",
"6",
"21",
"33",
"60"
] |
6 Green - 1 way
5 green - 2 ways
4 green - 3 ways
3 green - 4 ways
2 green - 5 ways
1 green - 6 ways
total = > 21 ways
Answer C
The answer is: C
|
C
|
mathematics
|
if set a ={2,3,5,7} and two numbers are selected at random from A(duplicates allowed), then what is the probability that the sum of the numbers is even?
|
[
"1/8",
"13/16",
"5/12",
"5/8",
"2/3"
] |
Sum of the two numbers would be even if
(1) Both digits are even.
(2) Both digit are odd.
(1) only one case is there: 22
(2) Following cases are there: 33, 35, 37 - 3 nos. Similarly 3 nos, with 5 (53, 55, 57) and 3 nos. with 7 (73, 75, 77)
Total 10 nos.
Total nos. that can be formed (repetition is allowed)
{1st no. can be chosen in 4 ways. Similarly 2nd no. can be chosen in 4 ways. Total 4*4 = 16 ways}
Prob : 10/16 = 5/8
D is the answer.
The answer is: D
|
D
|
mathematics
|
What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?
|
[
"rs.600",
"rs.601",
"rs.602",
"rs.603",
"NONE OF THESE"
] |
Explanation:
PW=Amount/(1+R/100)t
ANSWER IS C
The answer is: C
|
C
|
mathematics
|
Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.85. What is the median gasoline price?
|
[
"$1",
"$1.85",
"$1.92",
"$2.13",
"$2.15"
] |
Ordering the data from least to greatest, we get:
$1.61, $1.75, $1.79, $1.85, $1.96, $2.09, $2.11
The median gasoline price is $1.85. (There were 3 states with higher gasoline prices and 3 with lower prices.)
B
The answer is: B
|
B
|
mathematics
|
A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
|
[
"55 km/hr.",
"25 km/hr.",
"65 km/hr.",
"35 km/hr.",
"45 km/hr."
] |
D
35 km/hr.
Time taken = 1 hr 40 min 48 sec = 1 hr 40 4/5 min. = 126/75 hrs.
Let the actual speed be x km/hr.
Then, (5/7)x X 126/75 = 42
--> x = 35 km/hr.
The answer is: D
|
D
|
mathematics
|
Health insurance Plan P requires the insured person to pay $500 but then the insurance pays 70% of the cost over $500. 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?
|
[
"$700",
"$800",
"$900",
"$1000",
"$1100"
] |
0.7(x-500)=0.6(x-400)
0.1x=350-240
x=1100
The answer is E.
The answer is: E
|
E
|
mathematics
|
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
|
[
"200",
"230",
"364",
"354",
"365"
] |
A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
The answer is: C
|
C
|
mathematics
|
X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following can be the difference of X and Y ?
|
[
"73",
"44",
"33",
"29",
"9"
] |
X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y:
X = 10a + b
Y = 10a + b
X - Y = (10a + b) - (10a + b) = 9(a - b). As you can see the difference must be a multiple of 9. Only option E is a multiple of 9.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A bag contains 7 red, 5 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
|
[
"2/15",
"2/21",
"7/40",
"3/29",
"4/27"
] |
P(Both are red),
=7C216C2=7C216C2
=21/120= 7/40
C
The answer is: C
|
C
|
mathematics
|
Which of the following cannot be the range of a set consisting of 5 odd multiples of 7?
|
[
"56",
"112",
"224",
"448",
"425"
] |
Solution: sequence of 7 lets say sequence is 7n, 7(n+1), 7(n+2), 7(n+3), 7(n+4)
so range is 7n+28-7n = 28
if we put the different values of n we will get different but the range will be multiple of 28
and only 425 is not multiple of 28
Answer : E
The answer is: E
|
E
|
mathematics
|
If x^2+(1/x^2)=7, x^4+(1/x^4)=?
|
[
"10",
"47",
"12",
"14",
"15"
] |
-> x^4+(1/x^4)=(x^2)^2+(1/x^2)^2=(x^2+1/x^2)^2-2x^2(1/x^2)=7^2-2=47.
Thus, the answer is B.
The answer is: B
|
B
|
mathematics
|
Jane makes toy bears. When she works with an assistant, she makes 89 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
|
[
"20%",
"80%",
"110%",
"180%",
"200%"
] |
Let's assume just Jane 40 bears per 40/hrs a week, so that is 1 bear/hr. With an assistant she makes 75.6 bears per 36 hours a week or 2.1 bears/hr ([40 bears * 1.89] / [40 hrs * .90]).
[(2.1 - 1)/1] * 100% = 110%
ANSWER:C
The answer is: C
|
C
|
mathematics
|
The speed of a boat in still water is 18 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 14 minutes is
|
[
"1.6 km",
"2 km",
"5.1 km",
"4 km",
"None of these"
] |
Explanation:
Speed downstreams =(18 + 4)kmph
= 22 kmph.
Distance travelled = (22 x 14/60)km
= 5.1km
Option C
The answer is: C
|
C
|
mathematics
|
A dishonest dealer uses a scale of 92 cm instead of a metre scale and claims to sell at cost price. His profit is
|
[
"9%",
"10%",
"12%",
"None of these",
"8.7%"
] |
Solution
Gain% = (8 / 92 x 100)%
= 8.7%
Answer E
The answer is: E
|
E
|
mathematics
|
An escalator moves towards the top level at the rate of 15 ft.sec and its length is 180 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
|
[
"12sec",
"20sec",
"15sec",
"18sec",
"10sec"
] |
Explanation :
Time taken to cover the entire length = tot.dist/resultant speed = 180/ (15+3) = 10sec
Answer : E
The answer is: E
|
E
|
mathematics
|
How many odd prime numbers are there less than 125?
|
[
"29",
"34",
"44",
"54",
"64"
] |
Odd prime number less than 125:3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113
There is 29 the odd prime number
Answer is A
The answer is: A
|
A
|
mathematics
|
A 300 meter long train crosses a platform in 27 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
|
[
"150m",
"278m",
"350m",
"228m",
"282m"
] |
Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 27
= 50/3
3(x + 300)
= 1350 è x
= 150m.
Answer:A
The answer is: A
|
A
|
mathematics
|
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 5?
A. 48 kmph
|
[
"33",
"52.5",
"28",
"27",
"16.6"
] |
Let the distances between city A to B and B to C be 2x km and 5x km respectively.
Total time taken to cover from A to C
= (2x)/40 + (5x)/60 = (6x + 10x)/120 = 16x/120 Average speed = (2x + 5x)/(16x/120) = 52.5 kmph.
Answer: B
The answer is: B
|
B
|
mathematics
|
If A : B : C = 2 : 3 : 4, then A⁄B : B⁄C : C⁄A is equal to :
|
[
"4 : 9 : 16",
"8 : 9 : 12",
"8 : 9 : 16",
"8 : 9 : 24",
"None"
] |
Let A = 2x, B = 3x and C = 4x. Then,
A⁄B = 2x⁄3x = 2⁄3, B⁄C = 3x⁄4x = 3⁄4 and C⁄A = 4x⁄2x = 2⁄1
⇒ A⁄B : B⁄C : C⁄A = 2⁄3 : 3⁄4 : 2⁄1 = 8 : 9 : 24
Answer D
The answer is: D
|
D
|
mathematics
|
If paint costs $3.20 per quart, and a quart covers 10 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
|
[
"$ 1.60",
"$ 16.00",
"$ 96.00",
"$108.00",
"$192.00"
] |
total surface area = 6a^2 = 6*10*10 = 600
each quart covers 20 sqr ft
thus total number of quarts = 600/10 = 60
cost will be 60*3.2 = $192
Ans: E
The answer is: E
|
E
|
mathematics
|
Can you find a six digit number under 5 lakh such that the sum of it's digits is 43 ?
|
[
"588338",
"499449",
"399826",
"788392",
"622975"
] |
B
The required number is 499449.
The maximum sum of a number under 5 lakh will be of the number 499999 i.e. 49.
Thus the required number must be close to 499999.
The root of 499999 ~ 707.106
By calculating the square of 707, we get 499849 which is the answer.
The answer is: B
|
B
|
mathematics
|
If Finn was 15 months old one year ago, how old was he, in months, x months ago?
|
[
"x − 30",
"x − 12",
"18 − x",
"27 − x",
"30 − x"
] |
Age Today = 15 months + 12 months (1year) = 27 months
X months ago- Today's Age - X = 27 - X
Ans- D
The answer is: D
|
D
|
mathematics
|
The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1836 in revenue from the sales. How many orchestra tickets did they sell?
|
[
"38",
"42",
"46",
"50",
"54"
] |
Let x be the number of orchestra tickets.
Then 90-x is the number of upper tier tickets.
30x + 12(90-x) = 1836
18x = 1836-1080
x = 42
The answer is B.
The answer is: B
|
B
|
mathematics
|
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
|
[
"878 meters",
"154 meters",
"500 meters",
"184 meters",
"157 meters"
] |
Let length of tunnel is x meter
Distance = 800+x meter
Time = 1 minute = 60 seconds
Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s
Distance = Speed*Time
800+x = (65/3) * 60
800+x = 20 * 65 = 1300
x = 1300 - 800
=500 meters
Answer:C
The answer is: C
|
C
|
mathematics
|
A sum of money becomes Rs. 2200 after three years and Rs. 4400 after six years on compound interest. The sum is
|
[
"Rs. 1400",
"Rs. 1100",
"Rs. 1000",
"Rs. 1200",
"Rs. 1400"
] |
Explanation:
Let the sum be P and rate of interest be R% per annum.
Amount after 3 years = 2200
P(1 + R/100)T = 2200
P(1 + R/100)3 = 2200 --- ( 1)
Amount after 6 years = 4400
P(1+R/100)T = 4400
P(1 + R/100)6 = 4400 --- (2)
(2) ÷ (1) => [P(1+R/100)6]/[P(1+R/100)3] = 4400/2200 = 2
=> (1+R/100)3 = 2 (Substituting this value in equation 1)
=> P × 2 = 2200
P = 22002 = 1100
Answer: Option B
The answer is: B
|
B
|
mathematics
|
How many words can be formed by using all letters of the word “BIHAR”
|
[
"14",
"20",
"420",
"120",
"340"
] |
The word BIHAR contains 5 different letters.
Required number of words = 5p5 = 5! = (5x4x3x2x1) = 120
Option D
The answer is: D
|
D
|
mathematics
|
In the Forestside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
|
[
"50.",
"45.",
"40.",
"30.",
"25."
] |
Given there are 50 students In the Forestside summer camp , 90% of 50 = 45 boys and remaining 5 girls.
Now here 90% are Boys and 10% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..
If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.
Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).
IMO option A is correct.
The answer is: A
|
A
|
mathematics
|
What is the tens digit of 36^5?
|
[
"1",
"7",
"5",
"3",
"9"
] |
36^5 = 6^7
(6^2)=6*6 = 36
(6^3)= 36*6 = .16
(6^4)= .16*6 = ..96
(6^5) = ..96*6 = ..76
(6^6) = ..76*6 = ...56
(6^7) = ....56*6 = ....36
If you see there is a pattern here in tens digits 3,1,9,7,5,3,1 and so on...
Continue the pattern up to 6^7 ( dont actually calculate full values) and answer is D: 3
The answer is: D
|
D
|
mathematics
|
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
|
[
"2400",
"2429",
"2980",
"2707",
"2872"
] |
First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 54000 = 2400
Answer:A
The answer is: A
|
A
|
mathematics
|
Rose is two years older than Bruce who is twice as old as Chris. If the total of the ages of Rose, B and Chris be 27, the how old is Bruce ?
|
[
"8 years",
"10 years",
"12 years",
"13 years",
"14 years"
] |
Let Chris's age be x years. Then, Bruce's age = 2x years.Rose's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, Bruce's age = 2x = 10 years.
B
The answer is: B
|
B
|
mathematics
|
Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
|
[
"5352",
"5355",
"2789",
"2689",
"2688"
] |
Let the sum lent by Manoj to Ramu be Rs.P.
Amount gained by Manoj = P. 3.9 /100 = 3450.3.6/100
= Rs.824.85
27P = 62100
= 82485
P = (82485 + 62100)/27 = 3055 + 2300
= Rs.5355
Answer: B
The answer is: B
|
B
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.