subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | Darren bought 5 packs of white T-shirts and 3 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 6, and the blue T-shirts come in packs of 9. How many T-shirts did Darren buy in all? | [
"77",
"57",
"34",
"65",
"21"
] | Step 1: Find the number of white T-shirts.
5 × 6 = 30
Step 2: Find the number of blue T-shirts.
3 × 9 = 27
Step 3: Find the total number of T-shirts.
30 + 27 = 57
Darren bought 57 T-shirts.
Answer is B.
The answer is: B | B |
mathematics | 14, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence? | [
"407",
"259",
"322",
"686",
"847"
] | Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 407 because if we divide 407 by 4 we get a remainder of 1
Correct answer - A
The answer is: A | A |
mathematics | How many positive integers will divide evenly into 230? | [
"4",
"6",
"8",
"12",
"16"
] | The question is asking how many factors 230 has.
230 = 2*5*23
The number of factors is 2^3 = 8
The answer is C.
The answer is: C | C |
mathematics | Excluding stoppages, the speed of a train is 35 kmph and including stoppages it is 22 kmph. Of how many minutes does the train stop per hour? | [
"82",
"17",
"22",
"82",
"18"
] | Explanation:
T = 13/35 * 60 = 22
Answer: Option C
The answer is: C | C |
mathematics | A train 280 m long, running with a speed of 63 km/hr will pass a tree in? | [
"21",
"16",
"18",
"12",
"112"
] | Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec.Answer: B
The answer is: B | B |
mathematics | S is a set containing 8 different positive odd primes. T is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true? | [
"The median of S is prime.",
"The median of T is prime",
"The median of S is equal to the median of T.",
"The sum of the terms in S is prime.",
"The sum of the terms in T is prime."
] | Here is my explanation. The question states:S is a set containing 9 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
(A) The median of S is prime.
Thismust be true. If there are an odd number of members of a set, t... | D |
mathematics | Two trains 140 metre and 160 metre long run at the speed of 60 km/hr and 40 km/hr respectively in opposite direction on parallel tracks. What time these will take to cross each other ? | [
"10.7 Seconds",
"10.8 Seconds",
"10.9 Seconds",
"11.8 Seconds",
"None of these"
] | Explanation:
Relative Speed = 60+40 = 100 Kmph
= 100*(5/18) = 250/9 m/sec
Distance to be covered = 140 + 160 = 300 metres
Time = Distance/Speed
Time=300∗9/250=54/5=10.8 seconds
Option B
The answer is: B | B |
mathematics | A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? | [
"2.89",
"2.88",
"2.82",
"2.84",
"2.83"
] | M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer:B
The answer is: B | B |
mathematics | What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58? | [
"17",
"18",
"19",
"14",
"16"
] | Let the side of the square plot be a ft.
a2 = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 ft.
Cost of building the fence = 68 * 58 = Rs. 3944.
Answer: Option A
The answer is: A | A |
mathematics | Express a speed of 90 kmph in meters per second? | [
"10 mps",
"76 mps",
"26 mps",
"97 mps",
"25 mps"
] | 90 * 5/18
= 25 mps
Answer:E
The answer is: E | E |
mathematics | A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $2200 as his share. Find the share of A. | [
"$1200",
"$1300",
"$1400",
"$1500",
"$1600"
] | The ratio of capital of A, B and C = 7000 : 11000 : 18000 = 7 : 11 : 18
A's share = (7/11)*2200 = $1400
The answer is C.
The answer is: C | C |
mathematics | The sum of a rational number and its reciprocal is 13/6. Find the number. | [
"4/3 or 3/4",
"0",
"1/3 or 3",
"2/3 or 3/2",
"2"
] | Let the number be x.
Then, x + (1/x) = 13/6 => (x2 + 1)/x = 13/6 => 6x2 – 13x + 6 = 0
=> 6x2 – 9x – 4x + 6 = 0 => (3x – 2) (2x – 3) = 0
x = 2/3 or x = 3/2
Hence the required number is 2/3 or 3/2.
Answer is D.
The answer is: D | D |
mathematics | Set M contains number that satisfy the condition that, if integer x is in the set then x + 4 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -8 II) 4 III) 8 | [
"I only",
"II only",
"I and II only",
"II and III only",
"I, II and III"
] | Since -4 is in the set, then the set must also include 0, 4, 8, 12, etc...
Depending on whether -4 is the starting element in the set or not, we can have -8...or not.
The answer is D.
The answer is: D | D |
mathematics | Weights of two friends Ram and Shyam are in the ratio of 4 : 5. Ram’s weight increases by 10% and the total weight of Ram and Shyam together becomes 82.8 kg, with an increase of 15%. By what per cent did the weight of Shyam increase? | [
"12.5%",
"17.5%",
"19%",
"21%",
"None of these"
] | Let the weights of Ram and Shyam be 4x and 5x. Now,according to question,
4x×110/100+Shyam?snewwt4x×110100+Shyam?s new wt = 82.8........ (i)
and 4x + 5x = 9x+115/100= 82.8........ (ii)
From (ii), x = 8
Putting in (i),
we get Shyam’s new wt = (82.8 – 35.2) = 47.6
% increase in Shyam’s wt = (47.6−40/40×100) = 19
Answer C... | C |
mathematics | 7 dogs have got 7 puppies each. Each puppy has got 7 kitten as friend. They are all members of a club along with me. What is the strength of club ? | [
"300",
"400",
"500",
"600",
"700"
] | total strength = (7+7*7+7*7*7)+1=400
ANSWER:B
The answer is: B | B |
mathematics | What is the probability that the sum of two numbers that are selected randomly from a set of numbers will be greater than 6 if the given set is {2,4,6} | [
"5/3",
"1/7",
"1/2",
"1/4",
"1/3"
] | First problem is 3C2 = 6 .. Not 20..
Point 2, your sum should be greater than 6, so these are the following possibilities you have
({2,6},{4,6}) which leads to 2 pairs
So the probability is 2 on 6 or 1/3..
ANSWER:E
The answer is: E | E |
mathematics | Fifthty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 10 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club? | [
"60",
"80",
"100",
"120",
"140"
] | 50% of the members have passed the test, thus 50% have not passed the test.
We also know that 30+10=40 members have not passed the test, thus 0.5*Total=40 --> Total=80.
Answer: B.
The answer is: B | B |
mathematics | Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 25 litres of tomato juice? | [
"2.8 liters.",
"3.125 liters.",
"8.5 liters.",
"2.6 liters.",
"2.1 liters."
] | Answer:
Explanation:
In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.
⇒⇒ 10%(25) = 80%(x)
⇒⇒ x = 3.125 liters.
Answer:B
The answer is: B | B |
mathematics | A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work? | [
"6 days",
"7 days",
"5 days",
"3 days",
"2 days"
] | One day's work of A and B = 1/9 + 1/8 = (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days.
Answer:A
The answer is: A | A |
mathematics | The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers? | [
"11",
"86",
"66",
"55",
"44"
] | Let the four integers be A, B, C and D where A > B > C > D.
(A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)
A = 93, D = 39 and B - C = 28
(1) => B + C = 276 - (A + D) = 276 - 132 = 144.
B + B -28 = 144
B = (144 + 28)/2 = 86
Answer:B
The answer is: B | B |
mathematics | Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit? | [
"2388",
"2380",
"2888",
"2663",
"2922"
] | Kamal : Sameer = (9000 * 12) : (8000 * 7)
= 108:56 = 27:14
Sameer's share = 6970 * 14/41 = Rs. 2380.
Answer: B
The answer is: B | B |
mathematics | In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 55% of all the employees are men .What % of all the employee went to the picnic? | [
"29%",
"34%",
"35%",
"36%",
"37%"
] | total men in company 55% means total women in company 45%(assume total people in company 100%)
no of men employees attended picnic=55x(20/100)=11
no of women employees attend picnic=45x(40/100)=18
total percentage of employees attend the picnic=11+18=29%
ANSWER:A
The answer is: A | A |
mathematics | If the price of sugar rises from Rs. 10 per kg to Rs. 11 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by | [
"9%",
"20%",
"25%",
"30%",
"none"
] | Sol.
Let the original consumption = 100 kg and new consumption = x kg.
So, 100 x 10 = x × 11 = x = 91 kg.
∴ Reduction in consumption = 9%.
Answer A
The answer is: A | A |
mathematics | The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? | [
"80, 49",
"80, 40",
"80, 48",
"80, 46",
"82, 41"
] | Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph Answer: B
The answer is: B | B |
mathematics | A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? | [
"P(E)=12/455",
"12/458",
"12/487",
"12/456",
"12/4512"
] | Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn , the probability that one is yellow and two are red
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)
= 12/455
Answer:A
The answer is: A | A |
mathematics | A group consists of 4 men, 6 women and 2 children. In how many ways can 2 men , 3 women and 1 child selected from the given group? | [
"400",
"240",
"287",
"278",
"281"
] | Explanation:
Two men, three women and one child can be selected in â´Câ‚‚ * â¶C₃ * âµCâ‚ ways
= (4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 2
= 240 ways.
Answer:B
The answer is: B | B |
mathematics | A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long? | [
"388",
"190",
"277",
"288",
"261"
] | L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec .Answer:B
The answer is: B | B |
mathematics | How many seconds does a train 130 meters long, traveling at 72 km/h, take to completely cross a bridge of 210 meters in length? | [
"13",
"15",
"17",
"19",
"21"
] | 72 km/h = 72000/3600 = 20 m/s
Time = 340 / 20 = 17 seconds
The answer is C.
The answer is: C | C |
mathematics | Solve the quickfire maths brain teaser √16% = ? | [
"30%",
"40%",
"85%",
"19%",
"29%"
] | √16%
=> √16/√100
=> 4/10
=> 40/100
=> 40%
B
The answer is: B | B |
mathematics | If a - b = 6 and a2 + b2 = 50, find the value of ab. | [
"A)7",
"B)12",
"C)15",
"D)18",
"E)20"
] | Explanation:
2ab = (a2 + b2) - (a - b)2
= 50 - 36 = 14
ab = 7.
Answer: A
The answer is: A | A |
mathematics | A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished? | [
"1",
"5",
"7",
"8",
"2"
] | Explanation:
\inline \fn_jvn [(100\times 35)+(200\times 5)] men can finish the work in 1 day
\inline \fn_jvn \therefore 4500 men can finish the work in 1 day. 100 men can finish it in \inline \fn_jvn \frac{4500}{100} = 45 days.
This is 5 days behind Schedule
Answer: B
The answer is: B | B |
mathematics | A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit. | [
"22075",
"2622",
"2677",
"2666",
"267"
] | Explanation:
A = 2000(21/20)2 = 2205
Answer: A
The answer is: A | A |
mathematics | If ‘MADURAI’ is coded as ‘DADCIAI’, then ‘DELHI’ is coded as | [
"DEHIE",
"DDEHI",
"EDDIH",
"DECHI",
"CHIDE"
] | M=13,1+3=4=D
A=1=A
SIMILARLY,
M=13=1+3=4=D
D=4=D
E=5=E
L=12=1+2=C
H=8=H
I=9=I
SO ANS IS
DECHI
ANSWER:D
The answer is: D | D |
mathematics | 15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days? | [
"87",
"18",
"17",
"16",
"10"
] | Binders Books Days
15 1400 21
x 1600 20
x/15 = (1600/1400) * (21/20) => x = 18
Answer:B
The answer is: B | B |
mathematics | (565945 x 121) = ? | [
"68463812",
"68463813",
"68479345",
"68463814",
"68463814"
] | 565945*121
=68479345
Ans C
The answer is: C | C |
mathematics | The compound interest earned on a sum for the second and the third years are $1400 and $1498 respectively. What is the rate of interest? | [
"3%",
"5%",
"7%",
"9%",
"11%"
] | 1498 - 1400 = 98 is the rate of interest on $1400 for one year.
The rate of interest = (100 * 98) / (1400) = 7%
The answer is C.
The answer is: C | C |
mathematics | When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 30 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 2/7 of a minute after she began to run. If the time was otherwise corre... | [
"5 minutes, 17.6 seconds",
"5 minutes, 21.8 seconds",
"5 minutes, 23.6 seconds",
"5 minutes, 44.44 seconds",
"6 minutes, 10.4 seconds"
] | One approach:
The watch starts to work after Nuria began his running. It means the time should be greater than credited 5 minutes, 30 seconds. The only number is 5 minutes, 44.44 seconds.
Another approach:
2/7 close to 20 second when added to the 5 minutes, 30 seconds, it means it passes 5 minute 44.44 seconds
Answer: ... | D |
mathematics | In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then : | [
"n is a perfect square",
"n is an odd number",
"n is an even number",
"n is a perfect cube",
"none"
] | For example, if there were 4 carrot rows, the garden would have a 4x4 arrangement. If each carrot attracts 4 bunnies, the number of bunnies would be (4*4)*4 = 64 pieces, which is a cube of 4.
Answer: D
The answer is: D | D |
mathematics | 84/12/0.8 = ? | [
"8.17",
"7.14",
"6.23",
"4.35",
"8.75"
] | E
8.75
? = 84/(12*0.8) = 8.75
The answer is: E | E |
mathematics | A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform? | [
"450m",
"200m",
"250m",
"270m",
"300 m"
] | D = 72 * 5/18 = 40 = 800 – 250 = 450m
ANSWER:A
The answer is: A | A |
mathematics | IF
1= O
2= T
3= T
4=F
5= F
THEN 6=? | [
"S",
"J",
"K",
"L",
"M"
] | IF
1= O... First letter of ONE.
2= T.... First letter of TWO.
3= T
4=F
5= F
THEN 6=S ... First letter of SIX.
ANSWER:A
The answer is: A | A |
mathematics | What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 70 ? | [
"147",
"142",
"173",
"144",
"186"
] | A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Here are the first few prime numbers: 2, 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, 127, 131, 137, 139, 149, 151, 157, 163, 167... | D |
mathematics | Given that 2x + 17 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers? | [
"-4 and -1",
"-1 and 4",
"-4 and 1",
"-6 and 4",
"2 and 5"
] | 2x + 17 > 5
i.e 2x >5-17
i.e. 2x > -12
i.e. x > -6
Also, 5x - 13 < 7
i.e. 5x <7+13
i.e 5x < 20
i.e x < 4
i.e. -6 < x < 4
Answer: Option D
The answer is: D | D |
mathematics | On an xy-graph, three corners of a
parallelogram are located at (3, 3), (4, – 4),
and (–2, –1). Which of the following points
could be the remaining corner? | [
"(8, 0)",
"(8, –1)",
"(–1, 9)",
"(–3, 6)",
"(–5, 7)"
] | A good way to begin is to draw a picture showing the three points given, including
possible places where a fourth point would form a parallelogram. Here’s what your
picture may look like:
y
A
B
C
(4, –4)
(–2, –1)
(3, 3)
x
This figure shows three possible points for the remaining corner of the parallelogram: A, B,
and C... | A |
mathematics | A shop purchased a pair of shoes for $150 and was selling it at a price that equaled the purchase price of the shoes plus a markup that was 25 percent of the selling price. After some time a shop owner decided to decrease the selling price by 20 percent. What was the shop's gross profit on this sale? | [
"$0",
"$2",
"$10",
"$6",
"$8"
] | Sale Price(SP) = 150 + Markup(MP)
--> Mp = SP-150
and given MP=SP/4 ( 25% is 1/4th)
so SP/4= SP-150
3SP/4= 150
SP=200
Now a discount of 20% is given so NEW SP is .8 *200 =160
Profit=160-150 =$10
Answer is C
The answer is: C | C |
mathematics | The present worth of Rs. 242 due in 2 years at 10% per annum compound interest is: | [
"Rs. 180",
"Rs. 240",
"Rs. 220",
"Rs. 200",
"Rs. 300"
] | Explanation:
Present worth of Rs. x due T years hence is given by
Present Worth (PW) = x/(1+R/100)^T
Present Worth (PW) = 242/(1+10/100)^2=242/(11/10)^2=Rs. 200
Answer : Option D
The answer is: D | D |
mathematics | How many integers between 100 and 1000 are there such that their unit digit is odd? | [
"400",
"420",
"500",
"450",
"350"
] | 900 numbers between - 100 and 1000
Out of which half would be even, half odd.
Number of odd unit digit number = 450.
correct option is D
The answer is: D | D |
mathematics | If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 5 times, what is the probability that it will land tails up on the first 2 flips and not on the last 3 flips? | [
"3/5",
"1/32",
"1/5",
"1/4",
"1/2"
] | (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32 Answer: B
The answer is: B | B |
mathematics | The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:14. If P invested the money for 5 months, find for how much time did Q invest the money? | [
"19",
"14",
"13",
"10",
"12"
] | 7*5: 5*x = 7:14
x = 14
Answer: B
The answer is: B | B |
mathematics | The population of a bacteria colony doubles every day. If it was started 11 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today? | [
"512",
"768",
"1024",
"2048",
"4096"
] | 2^11(2) = 2^12 = 4096
The answer is E.
The answer is: E | E |
mathematics | A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number J of imported lamps stocked at the store? | [
"3",
"10",
"13",
"20",
"23"
] | We want to minimize not maximize the expression,.
J=x/20+(410-x)*3/10=123+x/20-3x/10=123-5x/20 --> maximize x to minimize the expression --> x must be the greatest multiple of 20 less than 410, so 400 --> 123-5*400/20=23.
But i'm guessing 123-5x/20 can be written as 123- x/4
if x has to be the greatest multiple of 4 le... | E |
mathematics | If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be Jack and other will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 quee... | [
"8/2652",
"1/2652",
"28/2652",
"6/2652",
"18/2652"
] | 2 possible cases:
Jack - Queen or Queen - Jack (4 Jacks and 4 queens).
Either way,
the total probability = 2( Jack -Queen) = 2 (4/52 * 4/51) = 18/2652. E is the correct answer.
The answer is: E | E |
mathematics | A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? | [
"Rs. 832",
"Rs. 830",
"Rs. 822",
"Rs. 812",
"Rs. 810"
] | Let the total amount in the partnership be 'x'.
Then A's share = x/3
B's share = x/4
C's share = x/5
D's share = x - (x/3 + x/4 +x/5) = 13x/60
A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13
A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.
Answer: B
The answer is: B | B |
mathematics | A bus travel 5/7 of its speed covers 42 km in 1 hr 40 min48 sec. What is theactual speed of the bus ? | [
"25 km/hr",
"35 km/hr",
"40 km/hr",
"42 km/hr",
"45 km/hr"
] | Time = 1 hr 40 min 48 sec = 1hr +4060hr+483600hr=1+23+175=12675hrdistance = 42 kmspeed=distancetime=42(12675)=42×75126⇒57 of the actual speed = 42×75126⇒actual speed = 42×75126×75=42×1518=7×153=7×5=35 km/hr
B
The answer is: B | B |
mathematics | An article is bought for Rs.1200 and sold for Rs.800, find the loss percent? | [
"16%",
"35%",
"33%",
"18%",
"12%"
] | 1200 ---- 400
100 ---- ? => 33%
Answer:C
The answer is: C | C |
mathematics | January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009? | [
"Saturday",
"Wednesday",
"Thursday",
"Tuesday",
"Monday"
] | Explanation:
Number of odd days in 2008 = 2 (since it is a leap year)
(we have taken the complete year 2008 because we need to find out the odd days from 01-Jan-2008 to 31-Dec-2008, that is the whole year 2008)
Given that January 1, 2008 is Tuesday.
Hence January 1, 2009 = (Tuesday + 2 odd days) = Thursday
Answer: Opti... | C |
mathematics | In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 120 marks, the number of questions he attempts correctly, is: | [
"35",
"46",
"42",
"30",
"40"
] | Let the number of correct answers be x.
Number of incorrect answers = (80 – x).
4x – 1(80 – x) = 120 or 5x = 200 or x = 40.
ANSWER:E
The answer is: E | E |
mathematics | A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B? | [
"12227",
"2787",
"2500",
"2778",
"2789"
] | A:B:C = 2/3:1/6:1/6 = 4:1:1
x * 2/100 * 2/3 = 200
B capital = 15000*1/6 = 2500
Answer: C
The answer is: C | C |
mathematics | Positive integer p has n factors; 3p has 3 factors; Which of the following values can n take?
I. 1
II. 2
III. 3 | [
"I or II",
"II or III",
"only I is true",
"only II is true",
"I or III"
] | Squares have odd number of factors.The square which is a multiple of 3 is 9.
3 has factors 1,3 .
Therefore 2 factors
Answer D
The answer is: D | D |
mathematics | In a colony of 70 resident s, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony? | [
"1:9",
"1:6",
"1:3",
"1:1",
"1ratio 3"
] | Number of men in the colony = 4/7 (70) = 40
Number of women in the colony = 3/7 (70) = 30
Number of educated women in the colony = 1/5 (30) = 6
Number of uneducated women in the colony = 4/5 (30) = 24
Number of educated persons in the colony = 8/35 (70) = 16
As 6 females are educated, remaining 10 educated persons must... | E |
mathematics | Find a sum for first 8 prime no's from number series? | [
"77",
"79",
"89",
"34",
"36"
] | Required sum = (2+ 3+ 5+ 7+11+ 13+17+ 19) = 77
Note: 1 is not a prime number
Option A
The answer is: A | A |
mathematics | A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 10.30 a.m.? | [
"5",
"6",
"7",
"8",
"12"
] | Relative speed = Speed of A + Speed of B (? they walk in opposite directions)
= 2 + 3 = 5 rounds per hour
=> They cross each other 5 times in 1 hour and 2 times in 1/2 hour
Time duration from 8 am to 10.30 am = 2.5 hour
Hence they cross each other 12 times before 10.30 am
Answer is E
The answer is: E | E |
mathematics | 97 students take part in a test and the median score is 85. Which of the following descriptions must be correct?
I.At least 49 students’ score are less than 85.
II. At least 49 students’ score are equal to or more than 85
III. At most 49 students’ score are equal to or more than 85. | [
"I",
"II",
"III",
"III",
"IIII"
] | If we order the scores increasingly, then on the 49th place we have the score of 85. There must be 48 scores (those on the right of the 85 score) greater or equal to 85. So, I is necessarily correct.
The scores on the left of the 49th place, all have to be equal or less than 85. Since we can have the extreme case of al... | B |
mathematics | If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10 ≥b ≥ –1 , 4 ≥ g ≥ 1, then which of the following expresses the smallest possible value of ag/(bc)? | [
"–90",
"–20",
"–10",
"1/90",
"15/4"
] | ag have to be greatest from its range && bc to be smallest with -ve sign to became ag/bc smallest
A)-90 never possible case.(all nos. are integers and ag has max. 20 value)
B)-20 a=5,b=4 and b=1,c=-1 then it is possible
Option C,D,E are > -20....
Ans B
The answer is: B | B |
mathematics | The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 6000, brokerage being 1/4%, is: | [
"83.08",
"114",
"114.75",
"124",
"124.75"
] | Face Value = Rs. 6000.
Dividend = 10.5%.
Annual Income = Rs. 756.
Brokerage per Rs. 100 = Rs. 0.25.
Dividend is always paid on the face value of a share.
Face Value * Dividend / (Market Value + Brokerage per Rs. 100) = Annual income.
= 6000 * 10.5 / 756 = Market Value of Rs. 100 stock + Brokerage per Rs. 100.
= Market ... | A |
mathematics | How much time will take for an amount of Rs. 200 to yield Rs. 81 as interest at 4.5% per annum of simple interest? | [
"7",
"4",
"5",
"3",
"9"
] | Time = (100 * 81) / (200 * 4.5) = 4 years'
Answer:E
The answer is: E | E |
mathematics | A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct | [
"2 p.m. on Monday",
"2 p.m. on Tuesday",
"2 p.m. on Wednesday",
"3 p.m. on Thursday",
"None"
] | Sol.
Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.
∴ The watch gains [2 + 4 4/5] min. or 34/5 min. in 170 hrs.
Now, 34/5 min. are gained in 170 hrs.
∴ 2 min. are gained in [170 * 5/34 * 2] hrs = 50 hrs.
∴ Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e. it will b... | C |
mathematics | If x is 30 percent more than y and y is 50 percent less than z, then x is what percent of z? | [
"500%",
"250%",
"65%",
"125%",
"60%"
] | Z = 100 ; Y = 50 so X = 65
X as % of Z = 65/100 * 100 => 65%
Answer will be (C)
The answer is: C | C |
mathematics | If x and q are integers and 2x–q= 11, then 4x+ q CANNOT be | [
"–5",
"1",
"13",
"17",
"551"
] | 2x-q=11....q=2x-11
4x+q=4x+2x-11=6x-11
6x-11=-5...x=1
6x-11=1... x=2
6x-11=13...x=4
6x-11=17..X is not integer
6x-11=551..X is not integer
I think the choice E is 55 not 551. Otherwise both E CANNOT be solution=D
The answer is: D | D |
mathematics | Marla is hanging a banner diagonally across a rectangular room. The length of the room is 2 feet shorter than its width. If the total area of the room is 120 square feet, what is the length of the banner (in feet)? | [
"Between 13 and 14",
"Between 14 and 15",
"Between 15 and 16",
"Between 16 and 17",
"Between 17 and 18"
] | To solve this, we first need to set up an equation for the area of the room. If x is the width, then we have
x(x - 2) = 120. By putting the equation in standard form, we get x^2-2x-120=0. By using the quadratic formula, we get roots of -10 and 12. We know that x is the width, and x-2 is the length, so by using the root... | C |
mathematics | If x is 11 percent greater than 80, then x = | [
"88.8",
"91.0",
"88.0",
"70.9",
"71.2"
] | 11% of 80 = (80*0.11) = 8.8
11% greater than 80 = 80 + 8.8 = 88.8
Answer is clearly A.
The answer is: A | A |
mathematics | At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 28.9 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm? | [
"16.2",
"16.4",
"16.6",
"16.8",
"17.0"
] | Let x be the factor by which the bacteria increases every three hours.
At 4:00 pm, the amount of bacteria was 10x and at 7:00 pm it was 10x^2.
10x^2 = 28.9
x^2=2.89
x=1.7
At 4:00 pm, the amount of bacteria was 10(1.7)=17 grams.
The answer is E.
The answer is: E | E |
mathematics | A student traveled 10 percent of the distance of the trip alone, continued another 30 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip? | [
"75",
"100",
"125",
"150",
"175"
] | Let x be the total length of the trip.
0.1x + 30 miles + 0.5x = x
30 miles = 0.4x
x = 75 miles
The answer is A.
The answer is: A | A |
mathematics | Rahul went to a shop and bought things worth Rs. 25, out of which 48 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? | [
"19",
"19.7",
"19.9",
"16.7",
"22.8"
] | Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 48 Paise is given as tax
=> Total tax incurred = 48 Paise = Rs.48/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 48/100
⇒ 6(25 −0.3 −x) = 48
⇒ (25 − 0.3 − x) = 8
⇒ x = 25 − 0.3 − 8 = 16.7
D)
The answer... | D |
mathematics | The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 16 terms of the arithmetic progression? | [
"300",
"120",
"150",
"160",
"270"
] | n th term of A.P. is given by a+(n-1)d
4 th term = a+3d
12 th term = a+11d
Given a+3d+a+11d=20 --> 2a+14d=20 --> a+7d = 10
Sum of n term of A.P = n/2[2a+(n-1)d]
subsitiuing n = 16 ...we get 15/2[ 2a + 14d] = 16 [a+7d] = 16*10 = 160...
Answer is D...
The answer is: D | D |
mathematics | A train 100 m long crosses a platform 125 m long in 40 sec; find the speed of the train? | [
"36.21",
"77.11",
"54.12",
"33.0",
"20.25"
] | D = 100 + 125 = 225
T = 40
S = 225/40 * 18/5 = 20.25 kmph
Answer: E
The answer is: E | E |
mathematics | A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes William can make using this recipe? | [
"5",
"6",
"7",
"8",
"9"
] | Less work up front: Go through each item and see what the greatest number of cakes you can make with each. The lowest of these will be the right answer.
Flour: 15 cups, we need 2.5 cups each. Just keep going up the line to see how many cakes we can make: That means I can make 2 cakes with 5 cups, so 6 cakes overall wit... | A |
mathematics | Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 4200 envelopes. | [
"2",
"3",
"4",
"6",
"60/7"
] | You can either take the amount of work done as the same as Karishma has done or take the work done by each in the same time. I will do the latter
1. Work done in 1 hr by A is 2000 envelopes
2. Work done in 1 hr by A and C is 3000 envelopes
3. So work done in 1 hr by C is 1000 envelopes
4. Work done in 1 hr by B and C i... | B |
mathematics | (1000)7÷(10)18=? | [
"10",
"100",
"1000",
"10000",
"None of these"
] | Explanation:
=(103)7/(10)18
=(10)21/(10)18=10(3)=1000
Option C
The answer is: C | C |
mathematics | As x increases from 131 to 132, which of the following increases?
I) x−1/x
II) 17−1/x
III) (17+x)/x | [
"I only",
"II only",
"I,II only",
"II,III only",
"III only"
] | On Increasing the value of x from 131 to 132
I) x−1/x will increase as 1/x will be very small and x will increase by 1 unit
II) 17−1/x Will Increase as the value of 1/x will decrease thereby increasing the value of 17-(1/x)
III) (17+x)/x = (17/x)+1 will Decrease as 1/x will decrease thereby decreasing the value of (17/... | C |
mathematics | If an average hard drive had a capacity of 0.7 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050? | [
"256",
"512",
"768",
"1024",
"7168"
] | 0.7*2^10=0.7*1024=716.8
The answer is E.
The answer is: E | E |
mathematics | The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 10% p.a. was Rs.420. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned. | [
"Rs.2530",
"Rs.2430",
"Rs.2420",
"Rs.2410",
"Rs.2440"
] | Let the sum be Rs.P
P{ [ 1 + 10/100]2 - 1 } = 420
P(10/100)(2 + 10/100) = 420 [a2 - b2 = (a - b) ( a + b)] P = 420 / (0.1)(2.1) = 2000. Amount =2000+420=Rs.2420 Answer : C
The answer is: C | C |
mathematics | A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 90) square inches. What is the perimeter of the photograph, in inches? | [
"10",
"20",
"30",
"40",
"50"
] | Let x and y be the width and length of the photograph.
(x+2)(y+2)=M and so (1) xy + 2x + 2y + 4 = M
(x+8)(y+8)=M and so (2) xy + 8x + 8y + 64 = M+90
Let's subtract equation (1) from equation (2).
6x + 6y + 60 = 90
2x + 2y = 10, which is the perimeter of the photograph.
The answer is A.
The answer is: A | A |
mathematics | A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective? | [
"1/126",
"1/122",
"1/129",
"1/136",
"1/126"
] | Out of nine, five are good and four are defective. Required probability
= ⁴C₄/⁹C₄
= 1/126
Answer:E
The answer is: E | E |
mathematics | A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent? | [
"227",
"188",
"100",
"988",
"271"
] | MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
Answer:C
The answer is: C | C |
mathematics | Find the simple interest on $10000 at 8% per annum for 12 months? | [
"$410",
"$500",
"$650",
"$800",
"$1000"
] | P = $10000
R = 8%
T = 12/12 YEARS = 1 YEAR
S.I. = P*R*T/100 = 10000*8*1/100 = $800
Answer is D
The answer is: D | D |
mathematics | A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train. | [
"110 kmph",
"120 kmph",
"108 kmph",
"100 kmph",
"98 kmph"
] | In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train
In 20 sec the train travels a distance of 600 mtrs
Speed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph
Answer: C
The answer is: C | C |
mathematics | in a rectangle 8 vertical and 4 horizontal lines are drawn find the number of rectangle formed ? | [
"654",
"664",
"674",
"684",
"694"
] | 8 vertical lines plus the 2 lines of the existing rectangle(as its mentioned in the question "in a rectangle") accordingly 4 plus 2 horizontal lines.
therefore
10C2*6C2= 675 and if its asked for the new rectangle formed than
675-1=674 (excluding the existing rectangle)
ANSWER:C
The answer is: C | C |
mathematics | The average of first five multiples of 3 is? | [
"6",
"8",
"9",
"5",
"7"
] | Average = 3(1 + 2 + 3 + 4 + 5)/5
= 45/5
= 9.
Answer:B
The answer is: B | B |
mathematics | A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A? | [
"3002",
"3000",
"3018",
"3019",
"3012"
] | 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000
Answer: B
The answer is: B | B |
mathematics | Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is | [
"Rs 429",
"Rs 412",
"Rs 400",
"Rs 129",
"Rs 122"
] | Let C = x.
Then B = x/2
and A = x/4
A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400
Answer: C
The answer is: C | C |
mathematics | 2 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place? | [
"1",
"2",
"5",
"0",
"4"
] | the formula to count handshakes is n(n−1)2n(n−1)2
Where n is the number of people
=> 2(2-1)/2 = 2*1/2 = 2/2 = 1
=> the answer is A(1)
The answer is: A | A |
mathematics | If log12 27 = a, then log6 16 is: | [
"(3-a)/4(3+a)",
"(3+a)/4(3-a)",
"4(3+a)/(3-a)",
"4(3-a)/(3+a)",
"5(3-a)/(3+a)"
] | log12 27 = a => log 27/ log 12 = a
=> log 33 / log (3 * 22) =a
=> 3 log 3 / log 3 + 2 log 2 = a => (log 3 + 2 log 2)/ 3 log 3 = 1/a
=> (log 3/ 3 log 3) + (2 log 2/ 3 log 3) = 1/3
=> (2 log 2)/ (3 log 3) = 1/a – 1/3 = (3-a)/ 3a
=> log 2/ log 3= (3-a)/3a => log 3 = (2a/3-a)log2
log16 16 = log 16/ log 6 = log 24/ log (2*3... | D |
mathematics | A woman can do a piece of work in 40 days. Man is 25% more efficient than Woman. In how many days a man can do the same piece of work? | [
"32 days",
"36 days",
"38 days",
"40 days",
"53 days"
] | The ratio of the efficiencies of a woman and man = 100 : 125
= 4 : 5
The ratio of the days taken by woman and man to finish the work = 5 :4
Woman takes 32 days to finish the work.=> 5 parts = 40
The number of days taken by man to finish the work = 4 parts = 40/5x 4 = 32 days
A
The answer is: A | A |
mathematics | A train passes a station platform in 39 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? | [
"328",
"279",
"240",
"285",
"231"
] | Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 15
x + 300 = 585
x = 285 m. Answer:D
The answer is: D | D |
mathematics | A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 45%? | [
"600",
"887",
"256",
"654",
"725"
] | Cost price = Rs.500
profit = 45% of 500 = Rs.225
Selling price = Cost price + Profit
= 500 + 225 = 725
Answer: E
The answer is: E | E |
mathematics | An alloy weighing 60 ounces is 20 percent copper. How many ounces of copper must be added to create an alloy that is 60 percent copper? | [
"40",
"50",
"60",
"70",
"80"
] | An alloy of 60oz which is 20% copper means there is 12 oz of gold. To get to an alloy that is 60% copper, let's use this expression: (12 + x)/(60 + x) = 0.60 with x representing the amount of pure copper that must be added to get to 60%. The expression we are using represents the new total weight of pure copper over th... | C |
mathematics | An article is bought for Rs.685 and sold for Rs.900, find the gain percent? | [
"30 1/3%",
"33 1/3%",
"31 53/137%",
"35 1/3%",
"29 1/3%"
] | C
31 53/137%
685 ---- 215
100 ---- ? => 31 53/137%
The answer is: C | C |
mathematics | At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present? | [
"77 years",
"15 years",
"66 years",
"88 years",
"55 years"
] | Let the present ages of Arun and Deepak be 4x and 3x years respectively.
Then, 4x + 6 = 26 => x = 5
Deepak's age = 3x = 15 years.
Answer: B
The answer is: B | B |
mathematics | How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)? | [
"360",
"817",
"145",
"346",
"342"
] | The given digits are six.
The number of four digit numbers that can be formed using six digits is ⁶P₄
= 6 * 5 * 4 * 3
= 360.
Answer: A
The answer is: A | A |
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