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mathematics
|
Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?
|
[
"27",
"16",
"38",
"61",
"83"
] |
Using the elimination method the option that fits this description is 27
7-2 = 5 (unit's digit that exceeds its ten's digit by 3)
27*9 = 243 (the product of the given number and the sum of its digits is equal to 175)
answer :A
The answer is: A
|
A
|
mathematics
|
An employer pays Rs. 30 for each day a worker works, and forfeits Rs. 5 for each day he is idle. At the end of 60 days, a worker gets Rs. 500. For how many days did the worker remain idle?
|
[
"52",
"27",
"99",
"61",
"11"
] |
Explanation:
Suppose the worker remained idle for m days. Then, he worked for (60 - m) days.
30 (60 - m) – 5m = 500
1800 – 25m = 500
25m = 1300
m = 52
So, the worker remained idle for 52 days.
ANSWER: A
The answer is: A
|
A
|
mathematics
|
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
|
[
"306.03",
"306.01",
"306.04",
"306.0",
"306.06"
] |
A = 5000(51/50)3
= 5306.04
5000
-----------
306.04
Answer: C
The answer is: C
|
C
|
mathematics
|
A clock is started at noon. By 10 minutes past 3, the hour hand has turned through how many degrees?
|
[
"95°",
"100°",
"105°",
"110°",
"115°"
] |
The angle traced by the hour hand in 12 hrs is 360°
The angle traced by the hour hand in 1 hour is 30°
The angle traced by the hour hand in 10 minutes is 5°
The angle traced by the hour hand in 3 hours and 10 minutes is 3*30° + 5° = 95°
The answer is A.
The answer is: A
|
A
|
mathematics
|
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
|
[
"222",
"287",
"277",
"400",
"281"
] |
2*12 : 3*12 : 4*24
1: 3: 4
1/8 * 3200 = 400
Answer: D
The answer is: D
|
D
|
mathematics
|
60% of a number is added to 150, the result is the same number. Find the number?
|
[
"375",
"277",
"266",
"99",
"121"
] |
:
(60/100) * X + 150 = X
2X = 750
X = 375
Answer: A
The answer is: A
|
A
|
mathematics
|
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45, then how long is the base of isosceles triangle?
|
[
"5 units",
"10 units",
"15 units",
"20 units",
"25 units"
] |
The base of the isosceles triangle is 45-20-20= 5 units
The answer is A.
The answer is: A
|
A
|
mathematics
|
A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability R that the 2 apples selected will include the spoiled one?
|
[
"a. 1/5",
"b. 3/10",
"c. 2/5",
"d. 1/2",
"e. 3/5"
] |
there can be two ways in which one can select a spoiled apple and a good apple.
1. you pick the spoiled one first and the good one later..
Prob of picking bad one = 1/5 (one bad apple)
Prob of picking a good one from the remaining 4 good apples (4/4 =1)
therefore the total prob for case 1 = i/5 * 1 = 1/5
Total prob R= porb1 + prob2 = 1/5+1/5 = 2/5.C
The answer is: C
|
C
|
mathematics
|
Danny is sitting on a rectangular box. The area of the front face of the box is half the area of the top face, and the area of the top face is 1.5 times the area of the side face. If the volume of the box is 5184, what is the area of the side face of the box?
|
[
"123",
"167",
"178",
"199",
"288"
] |
Lets suppose length= l, breadth= b, depth= d
Front face area= l*w = 1/2 w*d (l=1/2 d or d=2l)
top face area= w*d
side face area= w*d = 1.5 d*l (w=1.5l)
Volume = l*w*d= 5184
l*1.5l*2l= 5184
l=12
Side face area= l*d= l*2l= 12*2*12=288
E is the answer
The answer is: E
|
E
|
mathematics
|
If y = x^2 + px + q, y is minimum when x is:
|
[
"p /q",
"-p/q",
"-p/2",
"-q/2",
"q/p"
] |
We're given the equation Y = X^2 + pX + q.
IF.. we use a simple Classic Quadratic....
p = 2
q = 1
Y = X^2 + 2X + 1
We can then go about finding the answer that yields the MINIMUM result when X = ...
Answer A: p/q = 2/1 = 2 --> 4+4+1 = +9
Answer B: -p/q = -2/1 = -2 --> 4-4+1 = +1
Answer C: -p/2 = -2/2 = -1 --> 1-2+1 = 0
Answer D: -q/2 = -1/2 -->(1/4)-1+1 = +1/4
Answer E: q/p = 1/2 --> (1/4)+1+1 = +2 1/4
From these results, we can see the minimum result:
C
The answer is: C
|
C
|
mathematics
|
An alloy weighing 20 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
|
[
"6",
"9",
"12",
"76",
"48"
] |
In 24 ounces, gold is 20 * (70/100) = 14 ounces. Now we add x ounces of pure gold to make it 90% gold.
So 14 + x = (24 + x)* 90/100 => x =76.
Answer is D.
The answer is: D
|
D
|
mathematics
|
Find the probability that a number selected from numbers 1, 2, 3,..., 20 is a prime number, when each of the given numbers is equally likely to be selected?
|
[
"10/20",
"1/20",
"8/20",
"3/20",
"7/20"
] |
Let X be the event of selecting a prime number.
X = {2, 3, 5, 7, 11, 13, 17, 19}
n(X) = 8,
n(S) = 20
Hence, the required probability is 8/20.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Walking 5/4 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
|
[
"22",
"99",
"27",
"28",
"20"
] |
Speed Ratio = 1:5/4 = 4:5
Time Ratio = 5:4
1 -------- 5
4 --------- ?20 m.Answer:E
The answer is: E
|
E
|
mathematics
|
Three friends were having a party and they ordered garlic bread sticks from a nearby restaurant. Upon arrival, they divided the number of sticks among them equally. After each one of them have had four breadsticks, the total number of breadsticks that remained were equal to the breadsticks that each one of them had upon equal division.
With the data given, can you calculate the original number of garlic bread sticks ?
|
[
"13",
"26",
"22",
"19",
"18"
] |
E
18
Let us suppose that there were (3 * G) garlic bread sticks originally.
On dividing equally, the number of bread sticks with each of the friend = G
Each one of them ate four. The remaining sticks with each one of them = (G - 4)
Now, the total number of breadsticks left = 3 * (G - 4)
This number is equal to the breadsticks each one of them had after division.
=> 3 * (G - 4) = G
(3 * G) - 12 = G
2 * G = 12
G = 6.
Therefore, the number of breadsticks originally = 3 * G = 3 * 6 = 18.
The answer is: E
|
E
|
mathematics
|
Which is the least number that must be subtracted from 1256 so that the remainder when divided by 7, 12, 16 is 4?
|
[
"242",
"232",
"236",
"240",
"244"
] |
First we need to figure out what numbers are exactly divisible by 7,12,16. This will be the set {LCM,LCMx2,LCMx3,...}
LCM(7,12,16) = 48*7 = 336
The numbers which will leave remainder 4 will be {336+4, 336x2 +4, 336x3 +4,...}
The largest such number less than or equal to 1256 is 336x3+4 or 1012
To obtain this you need to subtract 244.
E
The answer is: E
|
E
|
mathematics
|
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses T at the restaurant? (Assume that all boxes are filled to capacity.)
|
[
"96",
"240",
"T=256",
"T=384",
"T=480"
] |
Most Test Takers would recognize the system of equations in this prompt and just do algebra to get to the solution (and that's fine). The wording of the prompt and the 'spread' of the answer choices actually provide an interesting 'brute force' shortcut that you can take advantage of to eliminate the 4 wrong answers....
We're told that there are 2 types of boxes: those that hold 12 glasses and those that hold 16 glasses. Since the AVERAGE number of boxes is 15, we know that there MUST be at least some of each. We're also told that that there are 16 MORE of the larger boxes.
This means, at the minimum, we have...
1 small box and 17 large boxes = 1(12) + 17(16) = 12 + 272 = 284 glasses at the MINIMUM
Since the question asks for the total number of glasses, we can now eliminate Answers A, B and C....
The difference in the number of boxes MUST be 16 though, so we could have....
2 small boxes and 18 large boxes
3 small boxes and 19 large boxes
etc.
With every additional small box + large box that we add, we add 12+16= 28 MORE glasses. Thus, we can justadd 28suntil we hit the correct answer....
284+28 = 312
312+28 = 340
340+28 = 368
368+28 = 396
At this point, we've 'gone past' Answer D, so the correct answer MUST be Answer E.....But here's the proof....
396+28 = 424
424+28 = 452
452+28 = 480
Final Answer:
E
The answer is: E
|
E
|
mathematics
|
Simplify: 5358 x 51
|
[
"523258",
"254692",
"253582",
"263258",
"273258"
] |
5358 x 51 = 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258.
Answer is E
The answer is: E
|
E
|
mathematics
|
A transport company’s 120 buses running 20 hrs a day consume 360 of fuel in a day. In the next 3 days, the company will invest in 30 more green buses that use 30% less fuel. How many lts of fuel will be consumed in a five day week after the new buses are added to the fleet?
|
[
"3,060",
"1, 512",
"1,800",
"1,260",
"3,312"
] |
old buses use 360* 5 days = 1,800 lts
New buses use (0.70* 360)/120* 5 days * 30 buses = 1,512 lts
Total fuel is 3,312 lts
Answer is E
The answer is: E
|
E
|
mathematics
|
A water tank is three-fifths full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
|
[
"6 min",
"8 min",
"7 min",
"9 min",
"1 min"
] |
The combined rate of filling/emptying the tank = 1/10 - 1/6 = -1/15
Since the rate is negative, the tank will be emptied.
A full tank would take 15 minutes to empty.
Since the tank is only three-fifths full, the time is (3/5) * 15 = 9 minutes
The answer is D.
The answer is: D
|
D
|
mathematics
|
A car covers a distance of 526 km in 9 hours. Find its speed?
|
[
"104 kmph",
"289 kmph",
"58 kmph",
"277 kmph",
"177 kmph"
] |
526/9
= 58 kmph
Answer: C
The answer is: C
|
C
|
mathematics
|
A tin of oil was 4/5 full. when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
|
[
"20",
"10",
"40",
"50",
"20"
] |
Suppose x bottles can fill the tin completely
Then 4/5x-3/4x=6-4
X/20=2
X=40
Therefore required no of bottles =40
Answer is C.
The answer is: C
|
C
|
mathematics
|
Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 25% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
|
[
"18%",
"20%",
"25%",
"23%",
"Cannot be determined"
] |
Answer: C.
The answer is: C
|
C
|
mathematics
|
City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
|
[
"56",
"57.5",
"58.9",
"61.3",
"67.23"
] |
The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,
Average Speed=(Total DistanceTotal Time)=2304=57.5
B
The answer is: B
|
B
|
mathematics
|
There are 19 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
|
[
"1710",
"1920",
"2440",
"2860",
"3260"
] |
The number of ways to choose two teams is 19C2 = 19*18/2 = 171
The total number of games in the season is 10*171 = 1710.
The answer is A.
The answer is: A
|
A
|
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 50 questions and secures 130 marks, the no of questions he attempts correctly is :
|
[
"A)36",
"B)38",
"C)90",
"D)88",
"E)37"
] |
Let the number of correct answers be X.
Number of incorrect answers = (60 – X).
4x – (50 – x) = 130
=> 5x = 180
=> x = 36
Answer:A
The answer is: A
|
A
|
mathematics
|
A basket has 6 apples and 4 oranges. FOUR fruits are picked at random. The probability that at least 3 apples are picked is
|
[
"25/42",
"25/48",
"19/42",
"25/47",
"25/43"
] |
Total fruits = 10
Since there must be at least two apples,
(6C3 * 4C1)/10C4 + 6C4/10C4 = 19/42.
Answer:C
The answer is: C
|
C
|
mathematics
|
If n = 14p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
|
[
"Two",
"Three",
"Four",
"Six",
"Eight"
] |
If n = 14p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight
Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positiveevendivisors will 14p have.
p = 3 --> 14p = 42--> 42 has 4 even divisors: 2, 6, 14, 42 .
Answer: C.
The answer is: C
|
C
|
mathematics
|
A circular box kept around a circular place. If the difference between the circumference of the outer circle and the inner circle is 44m, find the width of the box?
|
[
"2 m",
"3 m",
"4 m",
"7 m",
"8 m"
] |
Let radius of the outer circle be R and radius of the inner circle be r.
Circumference of the outer circle =
Circumference of the inner circle =
But,
or, R - r =
Thus, width of the road = 7 m
D
The answer is: D
|
D
|
mathematics
|
An escalator moves towards the top level at the rate of 11 ft.sec and its length is 140 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.
|
[
"14 sec",
"10 sec",
"12 sec",
"8 sec",
"9 sec"
] |
Time taken to cover the entire length = tot.dist/resultant speed
= 140/ (11+3)
= 10sec
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
|
[
"45 kg",
"75kg",
"25kg",
"35 kg",
"55 kg"
] |
Explanation:
Weight of the teacher = (35.4 x 25 - 35 x 24) kg = 45 kg.
Answer: A
The answer is: A
|
A
|
mathematics
|
Two trains 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
|
[
"12.6 sec",
"11.8 sec",
"27.7 sec",
"10.8 sec",
"17.8 sec"
] |
Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 210 = 350 m.
Required time = 350 * 9/250 =12.6 sec.
Answer: A
The answer is: A
|
A
|
mathematics
|
A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 36 percent of the total votes?
|
[
"10%",
"12.5%",
"15%",
"17.5%",
"20%"
] |
There were 80% of the votes remaining and he needed 16%/80% = 2/10 = 20%
The answer is E.
The answer is: E
|
E
|
mathematics
|
The cost per pound of milk powder and coffee were the same in June. In July, the price of coffee shot up by 200% and that of milk powder dropped by 60%. If in July, a mixture containing equal quantities of milk powder and coffee costs $5.10 for 3lbs, how much did a pound of milk powder cost in July?
|
[
"$4",
"$0.4",
"$1",
"$3",
"$1.65"
] |
Lets assume price of Coffee in June =100x
Price of Tea in June =100x
Price of Coffee in July = 300x (because of 200% increase in price)
Price of Tea in July = 40x (because of 60% Decrease in price)
Price of 1.5 pound of Coffee1.5 pound of Tea in July will be = 450x + 60x = 510x
As per question
510x= 5.10$
x = 0.01S
So the Price of Tea in July = 40x = 40 x 0.01 = 0.4$/pound
Answer B
The answer is: B
|
B
|
mathematics
|
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
|
[
"200",
"240",
"250",
"260",
"480"
] |
Total ways of arranging 7 person in a circle = 6! = 720 ways
If we consider two women as one, then we have 5+1=6 persons. Arranging these six persons in circle will take = 5! = 120 ways
And two women can arrange themselves in 2! ways
Total ways in which two women sit together in circle = 5!*2! = 240 ways
Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240 = 480 ways
E
The answer is: E
|
E
|
mathematics
|
220, 218, 214, 208, 200, 190, ?
|
[
"176",
"174",
"178",
"180",
"172"
] |
220
220 - 2 = 218
218 - 4 = 214
214 - 6 = 208
208 - 8 = 200
200 - 10 = 190
190 - 12 = 178
Answer is C.
The answer is: C
|
C
|
mathematics
|
Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and after two days, six men left and six women joined, then in hoe many more days will the work be completed?
|
[
"2 (1/9)",
"2 (4/2)",
"5 (1/2)",
"2 (1/2)",
"2 (1/6)"
] |
Work done by a women in one day = 1/2 (work done by a man/day)
One women's capacity = 1/2(one man's capacity)
One man = 2 women.
12 men = 24 women.
12 men + 6 women = 30 women
30 women can complete the work in four days. In the first 2 days they can complete 1/2 of the work. Remaining part of the work = 1/2. If 6 men leave and 6 new women join, then new work force = 30 women - 12 women + 6 women = 24 women.
Time taken by them to complete the remaining work = 1/2 (Time taken by 24 women to complete the work) = 1/2 * (30 * 4)/24 = 2 (1/2) days.
Answer: D
The answer is: D
|
D
|
mathematics
|
A piece of cloth cost Rs 35. if the length of the piece would have been 4m longer and each meter cost Re 1 less , the cost would have remained unchanged. how long is the piece?
|
[
"5 mtrs",
"10 mtrs",
"12 mtrs",
"15 mtrs",
"18 mtrs"
] |
If length of piece is x and cost per mtr is C, then
x*C = 35 or C =35/x
(x+4)*(C-1) = 35 or x*C +4C-x -4 =35 or 35+4C-x -4 = 35
4C-x =4
4*(35/x)-x =4
x= 10 mtrs
ANSWER:B
The answer is: B
|
B
|
mathematics
|
100 is increased by 50%. Find the final number.
|
[
"100",
"110",
"150",
"155",
"160"
] |
Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150.
Answer C
The answer is: C
|
C
|
mathematics
|
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90° or concave if the internal angle is 270°.
If the number of convex corners in such a polygon is 25, the number of concave corners must be
|
[
"20",
"10",
"21",
"22",
"23"
] |
90(25) + 270(n-25) = (n-2)*180.
=25 + 3(n-25) = (n-2)*2.
= 3n - 50 = 2n-4
= n = 46.
Hence, the required number of corners must be 46 - 25 = 21. ANSWER : C
The answer is: C
|
C
|
mathematics
|
In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/6 . If the probability that a number 12 or larger is drawn is 1/3 , what is the probability that a number less than or equal to 20 is drawn?
|
[
"1/18",
"1/6",
"1/3",
"1/2",
"5/6"
] |
You can simply use sets concept in this question. The formula
Total = n(A) + n(B) - n(A and B) is applicable here too.
Set 1: Number 12 or larger
Set 2: Number 20 or smaller
1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or lessOR both)
1/3 + P(Set 2) - 1/6 = 1
P(Set 2) = 5/6
Answer (E)
The answer is: E
|
E
|
mathematics
|
Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $126 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
|
[
"600",
"720",
"1080",
"1200",
"1440"
] |
We need to find the amount off Julie's Initial savings...Let that be 2x
So x goes in simple interest and x goes in compund interest for a period of 2 years...
In case of Simple interest, The interest paid out is same for each year..Hence if $120 was interest for 2 years that means interest per year will be 60 $
So we have S.I,120 = x∗2∗R100x∗2∗R100
or 6000 =x*R
For CI, in 126 $, 6$ represents nothing but interest earned on interest of 1st year.
In the First year, Interest amount is same for S.I and C.I
So we have
x(1+R100)2−x=126x(1+R100)2−x=126
or x(1 + R^2/10000+ 2R/100)-x=126
x+xR^2/10000+2xR/100)-x=126
x+R*6000/10000+12000/100-x=126
0.6R+120=126
0.6R=6 or R=10
So x=600...2x=1200 is the Initial savings. Answer is D
The answer is: D
|
D
|
mathematics
|
What is the two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.
|
[
"I and II",
"II and III only",
"all",
"Even with all I, II and III, answer cannot be give.",
"I and either II or III"
] |
Let the tens and units digit be x and y respectively.
I. (10x + y) - (10y + x) x - y = 3.
II. x - y = 3.
III. x - y = 3.
Thus, even all the given three statements together do not give the answer.
Correct answer is (D).
The answer is: D
|
D
|
mathematics
|
What is the probability of flipping a fair coin eight times and the coin landing on heads on at least two flips?
|
[
"61/64",
"117/128",
"123/128",
"247/256",
"253/256"
] |
The number of possible outcomes is 2^8=256.
0 heads: There is 1 way to have all tails.
1 head: There are 8 ways to have one head.
P(0 or 1 head)=9/256
P(at least 2 heads)=1 - 9/256 = 247/256
The answer is D.
The answer is: D
|
D
|
mathematics
|
What will come in place of the question mark (?) in the following question?
112.36 + 225.05 + ? = 815.30
|
[
"474.46",
"477.89",
"524.41",
"564.40",
"None of these"
] |
Explanation:
815.30 - ( 112.36 + 225.05) = ?
= 477.89
ANSWER: B
The answer is: B
|
B
|
mathematics
|
If k is the sum of the digits of integer m, and m=10n, where n is an integer, which of the following must be true?
|
[
"k is not divisible by 9",
"The sum of the digits of k is divisible by 3",
"m is a multiple of 10k",
"k is a multiple of 9",
"k is a multiple of 6"
] |
m= 10n i.e n =1,2,3 ,4 etc or -1,-2.-3 ,-4 then m =10,20,30,40 or -10 ,-20 ,-30 ,-40 then k 1,2, 3,4 or -(1+0) , -(2+0) , -(3+0) ,-(4+0) .
ans(C)
The answer is: C
|
C
|
mathematics
|
The average weight of 8 person's increases by 6 kg when a new person comes in place of one of them weighing 40 kg. What might be the weight of the new person?
|
[
"80 kg",
"85 kg",
"90 kg",
"88 kg",
"110 kg"
] |
Total weight increased = (8 x 6) kg = 48 kg.
Weight of new person = (40 + 48) kg = 88 kg.
Answer : D
The answer is: D
|
D
|
mathematics
|
In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?
|
[
"1:4",
"1:3",
"2:3",
"3:4",
"None of these"
] |
Explanation:
33.33% profit means there is one part water and 3 part is pure wine. so the required ratio of water and wine in the mixture is 1:3. Answer: B
The answer is: B
|
B
|
mathematics
|
If (4.2)x = (0.42)y = 100, then (1/x) - (1/y) =
|
[
"1",
"2",
"1/2",
"1/4",
"2"
] |
(4.2)x = 100
=> (42)x = 102+x
=> 42 = 10(2/x+1) ---------- (i)
[42/100]y = 100 => 42y = 102+2y
=> 42 = 102/y+2-------- (ii)
From (i) and (ii), 2/x - 2/y = 1
=>1/x - 1/y = 1/2.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 10km?
|
[
"3",
"5",
"8",
"9",
"6"
] |
M = 4
S = 2
US = 4 - 2 = 2
D = 10
T = 10/2 = 5
Answer:B
The answer is: B
|
B
|
mathematics
|
A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 23 gallons of gasoline?
|
[
"190",
"284.6",
"300",
"280",
"312"
] |
so 12.2 * 23 = 280..
IMO option D is correct answer..
The answer is: D
|
D
|
mathematics
|
Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. in 30 m9nutes,how many times do they toll together ?
|
[
"4",
"10",
"15",
"16",
"17"
] |
Solution
L.C.M. of 2,4,6,8,10,12 is 120.
So, the bells will toll together after every 120 seconds, i.e., 2 minutes
In 30 minutes, they will toll together left [ ( 30/2 )+ 1 ] = 16 times. Answer D
The answer is: D
|
D
|
mathematics
|
Simplify: 32 ÷ 8 × 24 + 16 =
|
[
"130",
"124",
"120",
"115",
"112"
] |
32 ÷ 8
×
× 24 + 16 => 4
×
× 24 + 16 = 96 + 16 = 112
Option E
The answer is: E
|
E
|
mathematics
|
Find the largest 3 digit number which is exactly divisible by 88?
|
[
"765",
"907",
"944",
"954",
"968"
] |
Largest 3 digit number is 999
After doing 999 ÷ 88 we get remainder 31
Hence largest 3 digit number exactly divisible by 88 = 999 - 31 = 968
E
The answer is: E
|
E
|
mathematics
|
John deposited $10,000 to open a new savings account that earned 6 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
|
[
"$10,100.30",
"$10,101.50",
"$10,200.75",
"$10,302.25",
"$10,400.25"
] |
6 percent annual interest compounded quarterly --> 1.5% in 3 moths.
For the first 3 moths interest was 1.5% of $10,000, so $150;
For the next 3 moths interest was 1.5% of $10,000,plus2.25 earned on previous interest of $150, so $150+$2.25=$152.25;
Total interest for 6 months was $150+$152.25=$302.25, hence balance after 6 months was $10,000+ $302.25=$10,302.25.
Answer: D.
The answer is: D
|
D
|
mathematics
|
Mary purchased Brand X pens for $2 apiece and brand Y for $1 apiece. If Elena purchased a total of 12 of these pens for $20.00, how many brand X pens did she purchase?
|
[
"8",
"9",
"5",
"4",
"6"
] |
2x+y=20 -only one positive integers solutions x=8 and y=4
Answer is A
The answer is: A
|
A
|
mathematics
|
Find the area of circle whose radius is 10m?
|
[
"138",
"154",
"288",
"280",
"314.3"
] |
22/7 * 10 * 10
= 314.3
Answer:E
The answer is: E
|
E
|
mathematics
|
A large research project was scheduled over the course of a 30-month period, and a budget of $90,000 was allotted for the course of the entire project. After seven months, the project had spent $20,000. Was the project at this point over budget or under budget, and by how much?
|
[
"under, $4200",
"under, $1200",
"under, $1000",
"over $1800",
"over $5800"
] |
cost per month = 90,000/30 = 3,000.
Now, multiply by seven months: 7*($3000) = $21,000. That would be the budgeted amount, the amount theoretically supplied to the project. The real amount spent is less than this, so it is under budget.
$21,000 – #20,000 = $1000
Answer = (C)
The answer is: C
|
C
|
mathematics
|
If w,x,y,z are consecutive positive integers ; then which of the following is always odd?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 13x^2
|
[
"1",
"2",
"3",
"1 and 2",
"2 and 3"
] |
Plug in some numbers
w = 1
x = 2
y = 3
z = 4
Check the options -
[1] w*x+(y+2)^2*z = 1*2 + (3+2)^2 * 4 => 2 + 25*4 = 102{ Not an odd Number }
[2] w^x + z^y = 1^2 + 4^3 => 1 + 64 = 65{ Odd number }
[3] 13x^2 = 13*4 =52 even
[2]
B
The answer is: B
|
B
|
mathematics
|
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
|
[
"72",
"828",
"729",
"34",
"35"
] |
Explanation:
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
Answer: Option E
The answer is: E
|
E
|
mathematics
|
If x is an integer such that 0 < x < 7, 0 < x < 15, 5 > x > –1, 3 > x > 0, and x + 2 < 4, then x is
|
[
"1",
"2",
"3",
"4",
"5"
] |
0 < x < 7,
0 < x < 15,
5 > x > –1
3 > x > 0
x<2
From above: 0 < x < 2 --> x = 1.
Answer: A.
The answer is: A
|
A
|
mathematics
|
If x and y are positive integers such that x/y = 2.18, which of the following numbers could be y?
|
[
"50",
"5",
"150",
"2",
"100"
] |
With the given information, we are trying to find the value of y.
To achieve this we must convert the given decimal to a fraction and reduce it to it's lowest integer form.
Take the decimal x/y = 2.18 and because it's in the hundreds decimal place, put the given value (x/y = 2.18/1) and multiply it by 100.
Take the resulting fraction (x/y = 218/100) and reduce it to it's lowest form.
Both of the numbers are divisible by 2.
The result is x/y = 109/50.
Thus y = 50.
The correct answer is A.
The answer is: A
|
A
|
mathematics
|
Rs. 6000 is lent out in two parts. IN that One part is lent at 7% p.a simple interest and the second one is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
|
[
"5 : 7",
"5 : 1",
"6: 1",
"7 : 1",
"5 : 3"
] |
Let the amount lent at 7% be Rs. x
Amount lent at 10% is Rs. (6000 - x)
Total interest for one year on the two sums lent
= 7/100 x + 10/100 (6000 - x) = 600 - 3x/100
=> 600 - 3/100 x = 450 => x = 5000
Amount lent at 10% = 1000
Required ratio = 5000 : 1000 = 5 : 1
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
|
[
"435",
"456",
"467",
"489",
"512"
] |
Let suppose total number of students in class are X.
Then from the question we can conclude it that,
X∗18X=X2∗16=>X=64Total notebooks,=18X2=(18∗64∗64)=512
E
The answer is: E
|
E
|
mathematics
|
A college has classes from 10:00 AM until 1:55 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
|
[
"38 min",
"41 min",
"40 min",
"42 min",
"43 min"
] |
The total time is 235 minutes.
There are four breaks of five minutes between the classes for a total of 20 minutes.
The total class time is 215 minutes.
215 / 5 classes = 43 minutes per class
The answer is E.
The answer is: E
|
E
|
mathematics
|
Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?
|
[
"2",
"6",
"7",
"8",
"9"
] |
Explanation:
We shall assume the dice in fig. (ii) to be rotated so that the 5 dots appear at the same position as in fig. (i) i.e. on RHS face (i.e. on face II as per activity 1) and 1 dot appears at the same position as in fig; (i) i.e. on Front face (i.e. on face I). Then, from the, two figures, 2 dots appear on the top face (i.e. on face V) and 4 dots appear on the Bottom face (i.e. on face VI).
Since, these two faces are opposite to each other, therefore, two dots are contained on the face opposite to that containing four dots.
Answer: A) 2
The answer is: A
|
A
|
mathematics
|
Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements W are possible?
|
[
"30",
"60",
"90",
"180",
"540"
] |
90 is the number of ways you can assign 3 teams formed out of 12 people to 3 different tasks.
But now you can order the 3 tasks in 3! ways. T1 T2 T3 or T2 T1 T3.... etc etc.
I was confused between 90 and 540 but since question used the wordarrangementsdecided to go with complete arrangements W including the order of tasks.
could you explain the highlighted step... i'm getting 90 = 15 * 3!
suppose the students are numbered 1,2,3,4,5,6 and tasks are X,Y and Z
one of the 15 possible ways of forming teams is 12, 34, 56. these teams can be assigned to 3 tasks in 3! = 6 ways
X-- Y-- Z
12-- 34-- 56
12-- 56-- 34
34-- 12-- 56
34-- 56-- 12
56-- 12-- 34
56-- 34-- 12
so the answer should be 15*6 = 90
But now you can fruther decide which task you want to perform first X Y or Z..=C
The answer is: C
|
C
|
mathematics
|
How many integers are there between 42 and 97, inclusive?
|
[
"51",
"55",
"56",
"57",
"58"
] |
I guess the easiest way to answer this is -
Say you have two positive integers, x and y where y > x
Then the number of integers between x and y is given by - (y - x) + 1
In this case, it's (97 - 42) + 1 =56
Option C
The answer is: C
|
C
|
mathematics
|
P , Q and R started a business by investing Rs 120000 , Rs 135000 & Rs 150000 respectively. Find the share of each, out of the annual profit of Rs 56700
|
[
"16800 , 18900 , 21000",
"17850 , 18900 , 21000",
"16800 , 18900 , 22000",
"17850, 18500 , 22000",
"None of these"
] |
Explanation :
P : Q : R = 120000 : 135000 : 150000 = 120:135:150
= 24:27:30
= 8:9:10
Share of P= 56700*8/27 = 2100*8 = 16800
Share of Q = 56700*9/27 = 2100*9 = 18900
Share of R = 56700*10/27 = 2100*10 = 21000. Answer : Option A
The answer is: A
|
A
|
mathematics
|
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?
|
[
"660 m",
"650 m",
"570 m",
"670 m",
"680 m"
] |
Distance covered by Amar = (18/48)*1800 = 670 m
ANSWER:D
The answer is: D
|
D
|
mathematics
|
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 210-gram mixture, 40 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
|
[
"82.2%",
"83.2%",
"84.2%",
"85.2%",
"86.2%"
] |
The amount of milk is 0.8(210) + 40 = 208 grams.
The proportion is 208/250 = 0.832 which is 83.2%
The answer is B.
The answer is: B
|
B
|
mathematics
|
If the third day of the month is Monday, Which of the following will be the fifth day from 21st of that month?
|
[
"Tuesday",
"Monday",
"Wednesday",
"Thursday",
"None of these"
] |
3rd dy is monday----so----1st day must be saturdy
1-8-15-22 are all saturdy..ok
so 21 will be friday so,
from firdy 5th day will be wednesday
ANSWER:C
The answer is: C
|
C
|
mathematics
|
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
|
[
"17:6",
"17:0",
"17:4",
"17:2",
"17:3"
] |
P:Q = 85000 : 15000
= 17:3.
Answer: E
The answer is: E
|
E
|
mathematics
|
A box contains eight apples out of which 4 are rotten. If four apples are chosen at random, find the probability that all the four apples are rotten?
|
[
"1/113",
"1/90",
"1/80",
"1/70",
"None of these"
] |
Out of nine apples , five are good and four are rotten.
Required probability = 4C4/8C4 = 1/70
D
The answer is: D
|
D
|
mathematics
|
Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/2, 1/4, and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
|
[
"1/16n",
"(n-1)/8n",
"1/2n",
"(n+2)/2n",
"(3n-2)/2n"
] |
1/2 * 1/4 * (1-1/n)
= 1/8 * (n-1)/n
= (n-1)/8n
Answer - B
The answer is: B
|
B
|
mathematics
|
Jessica can text 125 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
|
[
"0.3",
"2.1",
"3",
"9",
"11.3"
] |
Since the answer choices are reasonably spaced out, we can approximate and save time
Combined words per day = 135*60*24 which should be 194400
410400/194400 will be 2.1,
So, Answer should be B.
The answer is: B
|
B
|
mathematics
|
Evaluate 75 / .05
|
[
"1400",
"1500",
"1505",
"None of these",
"1506"
] |
Explanation:
75/.05 = 7500/5 = 1500
Option B
The answer is: B
|
B
|
mathematics
|
List I: 4, 8, 12, 16 List II: x,4, 8, 12, 16
|
[
"5",
"4",
"3",
"10",
"2"
] |
List I has even number of terms, thus its median is the average of two middle terms (when arranged in ascending/descending order), so median=(8+12)/2=10
List II has odd number of terms, thus its median is the middle term (when arranged in ascending/descending order). As no other number in the list equal to 10, then x=10.
Answer: D
The answer is: D
|
D
|
mathematics
|
A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 5. What could be the ratio of Cats to dogs in the pet store?
|
[
"1:3",
"20:25",
"1:5",
"2:5",
"4:6"
] |
Say theratioof cats to dogs is a/b. Then thenumberof cats would be ax and thenumberof dogs bx, for some positive integer x.
We are told that ax - bx = 5 --> x(a - b) = 5. Since 5 is a prime number it could be broken into the product of two positive multiples only in one way: x(a - b) = 1*5.
The above implies that either x = 1 and a - b = 5 or x = 5 and a - b = 1.
Therefore the correct answer should have the difference between numerator and denominator equal to 1 or 13.
For the original question only option which fits is E, 4:5. Cats = 5*4 = 20 and dogs = 5*5 = 25.
Answer: B.
The answer is: B
|
B
|
mathematics
|
If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?
|
[
"22",
"38",
"60",
"88",
"72"
] |
Explanation:
Let the required no of hours be x. Then
Less men , More hours (Indirct Proportion)
\inline \fn_jvn \therefore 15:36 ::25:x \inline \fn_jvn \Leftrightarrow (15 x X)=(36 x 25) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 25}{15}=60
Hence, 15 men can do it in 60 hours.
Answer: C) 60
The answer is: C
|
C
|
mathematics
|
The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $91 per day. What was his wage on the 8th day?
|
[
"$83",
"$90",
"$92",
"$97",
"$104"
] |
Average daily wage of a worker for 15 consecutive working days = 90$
During the first 7 days , the daily average daily wage = 87$
During the last 7 days , the daily average daily wage = 91$
Wage on 8th day = 90*15 -( 87*7 + 91 *7)
= 1350 - (609 + 637)
=1350 - 1246
= 104
Answer E
The answer is: E
|
E
|
mathematics
|
The average of runs of a cricket player of 10 innings was 18. How many runs must he make in his next innings so as to increase his average of runs by 4?
|
[
"87",
"16",
"62",
"76",
"17"
] |
Average after 11 innings = 22
Required number of runs
= (33* 11) - (18* 10) = 242 - 180
= 62.
Answer: C
The answer is: C
|
C
|
mathematics
|
Students are asked to create a record of the recital of a poem for English class in groups of three. The tape length should be 1,200 seconds. The students assigned different stanzas of the poem to each member, and the individual records were compiled. If member three took 3 times longer than member two, and member two took equal time as member one, how many seconds did member three record for his/her reading?
|
[
"720",
"240",
"1200",
"40",
"500"
] |
member one, two and three as m1, m2 and m3 respectively.
m2=m1 as eq.a
m3=m2*3 as eq.b
m3+m2+m1=1,200 as eq.c
Substitute eq.b into eq. c, making (m2*3) + m2+ m2=1,200
(m2*5)/5=1,200/5 reduces to m2=240 seconds.
m3 is then m2*3, which is 720 seconds.
Answer is A.
The answer is: A
|
A
|
mathematics
|
1,2,2,4,8,32,?(mult)
|
[
"2816",
"1816",
"2812",
"2817",
"6816"
] |
Each number is the product of the previous two numbers, ie 8*32 = 2816.
Answer :A
The answer is: A
|
A
|
mathematics
|
When running a mile during a recent track meet, Nuria was initially credited with a final time of 7 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
|
[
"8 minutes, 10.4 seconds",
"5 minutes, 21.8 seconds",
"5 minutes, 43.56 seconds",
"5 minutes, 44.44 seconds",
"5 minutes, 17.6 seconds"
] |
One approach:
The watch starts to work after Nuria began his running. It means the time should be greater than credited 7 minutes, 44 seconds. The only number is 8 minutes, 10.4 seconds.
Another approach:
11/25 close to 30 second when added to the 7 minutes, 44 seconds, it means it passes 8 minute.
Answer: A
The answer is: A
|
A
|
mathematics
|
A snail, climbing a 24 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
|
[
"12",
"16",
"17",
"20",
"21"
] |
total transaction in two days = 4-2 = 2 feet
in 20 days it will climb 20 feet
on the 21st day , the snail will climb 4 feet , thus reaching the top
therefore , total no of days required =21
E
The answer is: E
|
E
|
mathematics
|
An advertising agency finds that, of its 200 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
|
[
"100",
"70",
"90",
"98",
"95"
] |
Total=200
Television=115
Radio=110
Magazine=130
All the three =200-115-110-130+85+75+95=100
ANSWER A
The answer is: A
|
A
|
mathematics
|
Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 5 union members work each shift, then how many different combinations of employees might work any given shift?
|
[
"56",
"231",
"336",
"350",
"406"
] |
Looks easy: -- 8C5*5C1 + 8C5 -- 336 (C).
The answer is: C
|
C
|
mathematics
|
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
|
[
"20:64:49",
"49:20:64",
"64:20:49",
"64:49:20",
"20:49:64"
] |
Ratio in which A,B and C shared the profit =5:7:8
Assume that the ratio of their investments =a:b:c
⇒14a:8b:7c=5:7:8⋯(A)
From (A),
14a:8b=5:7
⇒14a×7=8b×5
⇒7a×7=4b×5
⇒b=49a/20⋯(1)
From (A),
14a:7c=5:8
⇒(14a)×8=(7c)×5
⇒(2a)×8=c×5
⇒c=16a/5⋯(2)
a:b:c=a:49a/20:16a/5
=1:49/20:16/5
=20:49:64
Answer is E.
The answer is: E
|
E
|
mathematics
|
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
|
[
"XB > AB",
"XB < YD",
"AX > XB",
"AX < CD",
"AX > AB"
] |
A--X------B
C-----Y---D
AX < CD.
Answer: D.
The answer is: D
|
D
|
mathematics
|
If the area of circle is 616 sq cm then its circumference?
|
[
"88",
"99",
"62",
"27",
"12"
] |
22/7 r2 = 616 => r = 14
2 * 22/7 * 14 = 88
Answer:A
The answer is: A
|
A
|
mathematics
|
A wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. What is the area of the wall photo, in square inches?
|
[
"96",
"86",
"108",
"144",
"118"
] |
This question is an example of a 'punch out' question - we have to find the area of EVERYTHING, then 'punch out' the part that we don't want.
We're told that a wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. We're asked for the area of the wall photo, in square inches.
Area of a rectangle = (length)(width)
So the area of the wall photo is... (8)(12) = 96
The wall photo 'adds' 2 inches to the top, bottom, left and right 'sides' of the picture, so the area of EVERYTHING is...
(8+2+2)(12+2+2) = (12)(16) = 196
When we 'punch out' the area of the paper, we'll be left with the area of the wall photo:
192 - 96 = 96
Final Answer:
A
The answer is: A
|
A
|
mathematics
|
The total of 342 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
|
[
"238",
"290",
"278",
"200",
"288"
] |
Explanation:
Let the number of 20 paise coins be x. Then the no of 25 paise coins = (342 - x).
0.20 * (x) + 0.25 (342 - x) = 71 => x = 290..
Answer: B) 290
The answer is: B
|
B
|
mathematics
|
Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
|
[
"54",
"31",
"36",
"25",
"24"
] |
Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (180 + 180)/12 => x = 15
Speed of each train = 15 m/sec.
= 15 * 18/5 =54 km/hr.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
If a tire rotates at 400 revolutions per minute when the car is traveling 48km/h, what is the circumference of the tire?
|
[
"2 meters",
"6 meters",
"5 meters",
"3 meters",
"7 meters"
] |
400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 48,000 m : C is the circumference
C = 2 meters
correct answer A
The answer is: A
|
A
|
mathematics
|
In Kaya's teacher's desk there are 9 pink highlighters, 8 yellow highlighters, and 5 blue highlighters. How many highlighters are there in all?
|
[
"11",
"22",
"77",
"33",
"88"
] |
Add the numbers of highlighters.
9 + 8 + 5 =22.
Answer is B.
The answer is: B
|
B
|
mathematics
|
A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
|
[
"$234,000",
"$227,000",
"$148,000",
"$479,000",
"$337,000"
] |
6% x = 8,880 : x = selling price of house.
x = $148,000 : solve for x
correct answer C.
The answer is: C
|
C
|
mathematics
|
The value of x + x(xx) when x = 7
|
[
"A) 350",
"B) 346",
"C) 358",
"D) 336",
"E) 364"
] |
x + x(xx)
Put the value of x = 7 in the above expression we get,
7 + 7(77)
= 7 + 7(7 × 7)
= 7 + 7(49)
= 7 + 343
= 350 The answer is (A)
The answer is: A
|
A
|
mathematics
|
The three sides of an acute angled triangle (all in cms) are 12, 19 and k. How many integer values can k take?
|
[
"23",
"22",
"15",
"8",
"7"
] |
In acute angle triangles all angles in the triangle should be less than 90.
The maximum length of k can be when it is the hypotenuse of the triangle.
So, k= sqrt(12^2 + 19^2) = 22.5 (approx)
The maximum length of k can be when side of length 12 is the hypotenuse of the triangle.
So, k = sqrt (19^2 - 12^2) = 14.7 (approx)
So, k>14.7 and k<22.5.
Hence, possible values for k can be 15,16,17,18,19,20,21 and 22. Total 8 values.
Answer D.
The answer is: D
|
D
|
mathematics
|
The length of a rectangle is twice the breadth. If the area is 128 cm2, determine the length and the breadth.
|
[
"b=2,l=9",
"b=8,l=16",
"b=9,l=9",
"b=4,l=14",
"b=3,l=9"
] |
We are given length l=2b and l×b=128
∴2b×b=128
2b^2=128
b^2=64
b=±8
But breadth must be positive, therefore b=8 cm, and l=2b=16 cm.
Answer is B.
The answer is: B
|
B
|
mathematics
|
If (x-10)(x-3) < 0, which of the following must be true?
|
[
"x^2 + 5x + 6 < 0",
"x^2 + 5x + 6 > 0",
"5 - x < 0",
"x - 5 < 0",
"10 - x > 0"
] |
(x-10)(x-3)<0 can be written as (10-x)(x-3)>0
So,to inequality hold true multiple of (10-x) and (x-3) must be positive and if I let both elements positive/negative then the range becomes 3<x<10
Answer Choice E matched which says 10-x>0 or x<10,which must be true (I started to look from E to A for making easy decision first)
Correct Answer E
The answer is: E
|
E
|
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