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stringclasses 1
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mathematics
|
Of the 120 passengers on Flight 750, 30% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
|
[
"44",
"28",
"50",
"52",
"56"
] |
Number of passengers on flight = 120
Number of female passengers= .3*120 = 36
Number of passengers in first class = (10/100)* 120 = 12
Number of passengers in coach class = (90/100)* 120 = 108
Number of male passengers in first class = 1/3 * 12 = 4
Number of female passengers in first class = 12-4 = 8
Number of female passengers in coach class = 36 - 8 = 28
Answer B
The answer is: B
|
B
|
mathematics
|
The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
|
[
"2000",
"3000",
"4000",
"5000",
"6200"
] |
Explanation:
Let monthly income of A = a
monthly income of B = b
monthly income of C = c
a + b = 2 × 5050 .... (Equation 1)
b + c = 2 × 6250 .... (Equation 2)
a + c = 2 × 5200 .... (Equation 3)
(Equation 1) + (Equation 3) - (Equation 2)
=> a + b + a + c - (b + c) = (2 × 5050) + (2 × 5200) - (2 × 6250)
=> 2a = 2(5050 + 5200 - 6250)
=> a = 4000
i.e., Monthly income of A = 4000
ANSWER IS C
The answer is: C
|
C
|
mathematics
|
At a small company, 64 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
|
[
"5/16",
"3/4",
"9/20",
"7/10",
"5/7"
] |
Lets take total employees are 100.
Given that,Total Women= 64 and Total Married = 60.
Total Men = 100 - 64 = 36 and Single men = 2/3*36 = 24.
Married men = total men - single men = 36 - 24 = 12.
Married women= Total married - Married men = 60 - 12 = 48.
Fraction of women are married = Married women / Total Women = 48 / 64 = 3/4. ANS B
The answer is: B
|
B
|
mathematics
|
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
|
[
"5%",
"8%",
"12%",
"15%",
"10%"
] |
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 5 years = Rs. ((2205/3)x 5) = Rs. 3675
Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate =((100 x 3675)/(6125 x 5))% = 12%
Answer :C
The answer is: C
|
C
|
mathematics
|
A and B began business with Rs.6000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B.
|
[
"240",
"288",
"273",
"877",
"361"
] |
(6*8 + 5*4):(4*8 + 5*4)
17:13
13/30 * 630 = 273
Answer: C
The answer is: C
|
C
|
mathematics
|
A and b make a business together, and make a profit of Rs 84000. If A get Rs 48000, what was the ratio of investment between them?
|
[
"4 : 3",
"3 : 2",
"5 : 2",
"4 : 5",
"6 : 5"
] |
A get 48000
Then B get = (84000-48000) = 36000
Ratio between A and B is = 48000 : 36000 = 4 : 3
Answer : Option A
The answer is: A
|
A
|
mathematics
|
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability W that this product will be a multiple of 45?
|
[
"1/32",
"1/28",
"1/24",
"1/16",
"1/14"
] |
There are 3 single digit multiple of 3, that is, 3,6,9.
There are 8 prime nos less than 20 - 2,3,5,7,11,13,17,19
Total outcome - 8*3 = 24
Favourable outcome = 1 (9*5)
Hence required probability W= 1/24. Answer C.
The answer is: C
|
C
|
mathematics
|
5^100 is divided by 18. Then what is the remainder?
|
[
"10",
"11",
"13",
"15",
"19"
] |
Here N = 18=2×32
ϕ(18)=18(1−12)(1−13) = 6
So 56 when divided by 18, remainder is 1.
So we can write the given expression 5100=(56)16×54 = (1)16×54 = 52×52=7×7=49
Now 49 when divided by 18, remainder is 13.
C
The answer is: C
|
C
|
mathematics
|
The average age of a husband and his wife was 17 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
|
[
"55/3",
"15",
"19",
"287",
"27"
] |
Explanation:
Sum of the present ages of husband, wife and child = (17 * 2 + 5 * 2) + 1 = 45 years.
Required average = (45/3)= 15years.
Answer: B
The answer is: B
|
B
|
mathematics
|
If x dollars is invested at 12.5 percent for one year and y dollars is invested at 9.5 percent for one year, the annual income from the 12.5 percent investment will exceed the annual income from the 8 percent investment by $60. If $2500 is the total amount invested, how much is invested at 9.5 percent?
|
[
"a. $1097.83",
"b. $1231.57",
"c. $1101.52",
"d. $1147.72",
"e. $1352.27"
] |
2 equations with 2 unknowns
12.5x / 100 - 9.5y / 100 = 60
and
x + y = 2500
Solving these 2 equations, x =1352.27 and y = 1147.72
Answer D.
The answer is: D
|
D
|
mathematics
|
Mani paid a sum of money for purchasing 40 pens, which he recovered in full when he sold 25 of them. What was his percentage of profit or loss per pen?
|
[
"50%",
"60%",
"70%",
"65%",
"55%"
] |
B
33.33%
If the sum he paid whilst purchasing 40 pens = A,
Then the Cost Price of each pen = A/40.
Since the amount he got whilst selling 25 pens is also = A
Then the Selling Price of each pen = A/25.
Since Selling Price > Cost Price, he made a profit.
Profit per pen = Selling Price - Cost Price = A/25 - A/40 = 3A/200.
Profit percentage per pen = Profit per pen / Cost per pen x 100 = (3A/200) / (A/40) x 100 = 60%. Answer : B
The answer is: B
|
B
|
mathematics
|
A man walking at the speed of 4 kmph crosses a square field diagonally in 3 minutes. The area of the field is:
|
[
"18000m2",
"20000m2",
"19000m2",
"25000m2",
"15000m2"
] |
Length of the diagonal= Distance covered in 3 min. at 4 km/hr.
= (4000/ 60 *3)= 200m.
Therefore, Area of the field= 1/2 * diagonal2
= ½ * 200*200 = 20000 m2
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A man can row with a speed of 15 kmph in still water. If the stream flows at 15 kmph, then the speed in downstream is?
|
[
"27",
"30",
"20",
"99",
"2"
] |
M = 15
S = 15
DS = 15 + 15 = 30
Answer:B
The answer is: B
|
B
|
mathematics
|
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?
|
[
"800",
"277",
"266",
"288",
"1221"
] |
50*2k + 20*3k + 10*4k = 40000
200k = 40000 => k = 200
50p coins = 2k = 2*200 = 400
20p coins = 3k = 3*200 = 600
10p coins = 4k = 4*200 = 800
Answer: A
The answer is: A
|
A
|
mathematics
|
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
|
[
"16 2/3% loss",
"100/3% loss",
"50/3% profit",
"100/3% loss",
"200/3% loss"
] |
Explanation:
15 CP = 18 SP
18 --- 3 CP loss
100 --- ? => 16 2/3% loss
ANSWER IS A
The answer is: A
|
A
|
mathematics
|
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
|
[
"287 m",
"704 m",
"176 m",
"186 m",
"197 m"
] |
In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 500 * 2 * 22/7 * 22.4
= 70400 cm
= 704 m
Answer:B
The answer is: B
|
B
|
mathematics
|
Evaluate: 50 - 12÷2×2 =
|
[
"A)36",
"B)38",
"C)40",
"D)42",
"E)44"
] |
According to order of operations, 12÷2×2 (division and multiplication) is done first from left to right
12÷2×2 = 6 × 2 = 12
Hence
50 - 12÷6×2 = 50 - 12 = 38
correct answer is B) 38
The answer is: B
|
B
|
mathematics
|
Browny owns b video game cartridges. If Browny’s total is one-third the total owned by James and two times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
|
[
"(16/3)b",
"(17/4)b",
"(13/4)b",
"(9/2)b",
"(7/12)b"
] |
b = Browny’s total
3b = James’s total
(1/2)b = Charlie’s total
Add each total
b + 3b+ (1/2)b = 4b + (1/2)b = = (9/2)b
Answer : D
The answer is: D
|
D
|
mathematics
|
Evaluate permutation
3P3
|
[
"6",
"7",
"8",
"9",
"10"
] |
Explanation:
nPn=n!
3P3=3∗2∗1=6
Option A
The answer is: A
|
A
|
mathematics
|
Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 6 inches tall.Carmen places her sculpture on a base that is 12 inches tall. How tall are the sculpture andbase together?
|
[
"3.1 feet",
"3.2 feet",
"3.3 feet",
"3.4 feet",
"3.83 feet"
] |
we know 1 feet =12 inch then
2 feet =24 inch
24+10=34 then
34+12=44
46/12=3.83 feet
ANSWER:E
The answer is: E
|
E
|
mathematics
|
Which of the following is closest to the difference between sum R of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
|
[
"2.82",
"2.72",
"1.82",
"1.72",
"0.82"
] |
Sum R of all proper fractions (fractions less than 1) in the form 1/x, where x is a positive digit:
1/1 + 1/2 + 1/3 +.....+ 1/9
This is a harmonic progression. Harmonic progression is inverse of arithmetic progression.
Approximate sum of a harmonic progression with even number of terms = number of terms * (average of middle 2 terms)
Approximate sum of a harmonic progression with odd number of terms = number of terms * (middle term)
The actual sum will be slightly more than the approximation.
Here we have 9 terms (odd).
Sum = 9 * 1/5
= 9/5
Product of all proper fractions in the form y/(y+1), where y is a positive digit:
1/2 * 2/3 * 3/4 *.....*9/10
We will be left with 1/10.
Required = 9/5 - 1/10
= 1.8 - 0.1
= 1.7
Closest is 1.72
Answer (D).
The answer is: D
|
D
|
mathematics
|
A man swims downstream 35 km and upstream 20 km taking 5 hours each time, what is the speed of the man in still water?
|
[
"6.5",
"5.5",
"5.2",
"4.6",
"9.7"
] |
35 --- 5 DS = 7
? ---- 1
20 ---- 5 US = 4
? ---- 1 M = ?
M = (7+ 4)/2 = 5.5
Answer: B
The answer is: B
|
B
|
mathematics
|
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
|
[
"10",
"28",
"277",
"299",
"22"
] |
Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.
x + y = 7 --- (1) ; 2x = 4 --- (2)
solving both the equations, we get y = 5
So, time taken to cover both ways by cycle = 2y hours = 10 hours.
Answer: A
The answer is: A
|
A
|
mathematics
|
If (a-7)(b-2) =0, which of the following must be true ?
I. a=7 and b=2
II. if a is not 7, then b=2
III. if a=7, then b is not=2
|
[
"I only",
"II only",
"III only",
"I and II",
"II and III"
] |
(a-7)(b-2)=0
So either a=7 or b=2 or both. It is 'or' not 'and', so it could be any of the three possibilities. Thus I and III are not necessarily true.
The answer is B.
The answer is: B
|
B
|
mathematics
|
In how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate?
|
[
"69",
"70",
"71",
"72",
"73"
] |
number of ways = 2*3!*3! = 72
Answer is D
The answer is: D
|
D
|
mathematics
|
Girl and Boy together can complete a piece of work in 35 days while Girl alone can complete the same work in 60 days. Boy alone will be able to complete the same working in:
|
[
"72",
"75",
"84",
"88",
"90"
] |
Subtraction of fraction
ab−cd=ad−cbbd
Girl
and Boy finish one work with company = 35
days
(Girl+Boy)′
s one day’s work = 135
Girl alone finish the same work = 60
days
Girl′
s one day’s work = 160
B′
s one day’s work = (A+B)′s one day’s work - A′
s one day’s work
135−160=184
Hence B alone can complete the work in 84 days
The answer is: B
|
B
|
mathematics
|
The distance between two villages P and Q is 330 Km. A train starts from P at 8 a.m. and travel towards Q at 60 km/hr. Another train starts from Q at 9 a.m and travels towards P at 75 Km/hr. At what time do they meet?
|
[
"11 am",
"10 am",
"9 am",
"12 pm",
"11.30 am"
] |
meet x hrs after 8 a.m.
(Distance moved by first in x hrs) + [Distance moved by second in (x-1) hrs]
= 330
==>60x+75(x-1) = 330
x=3.
So,they meet at (8+3). i.e 11a.m.
ANSWER A
The answer is: A
|
A
|
mathematics
|
Which one of the following numbers is exactly divisible by 11?
|
[
"417269",
"315624",
"615624",
"715624",
"415624"
] |
E
415624 is exactly divisible by 11.
The answer is: E
|
E
|
mathematics
|
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 16 sec. What is the length of the platform?
|
[
"287 m",
"431.25 m",
"267 m",
"287.25 m",
"656 m"
] |
Speed = 300/16 = 75/4 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 75/4
=> x = 731.25 m
Answer:B (431.25)
The answer is: B
|
B
|
mathematics
|
A train 55 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
|
[
"5",
"6",
"7",
"3",
"5"
] |
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [55 * 3/55] sec = 3 sec
Answer: D
The answer is: D
|
D
|
mathematics
|
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 8 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
|
[
"61",
"62",
"65",
"63",
"64"
] |
Responding to a pm: To solve this question, I will make an equation in x and then make educated guesses. Here's how:
Assuming x motorcycles were sold every month initially.
(568000/x + 1000)(x-8) = 594000
(568/x + 1)(x-8) = 594
Now 568 = 8*71
Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.
We get 9*66 = 594 (matches)
So he will sell 71 - 8 = 63 bikes this month
Answer (D)
The answer is: D
|
D
|
mathematics
|
Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes?
|
[
"56678",
"16789",
"17576",
"35142",
"None of these"
] |
Explanation :
The first letter from the right can be chosen in 26 ways because there are 26 alphabets.Having chosen this, the second letter can be chosen in 26 ways.=> The first two letters can be chosen in 26*26=676 waysHaving chosen the first two letters, the third letter can be chosen in 26 ways.=> All the three letters can be chosen in 676*26=17576 ways.It implies that the maximum possible number of five letter palindromes is 17576 because the fourth letter is the same as the second letter and the fifth letter is the same as the first letter.
Answer : C
The answer is: C
|
C
|
mathematics
|
When a=4+(3/4) and b=4-(3/4), (2^a^2)/(2^b^2)=?
|
[
"496",
"486",
"4096",
"456",
"426"
] |
--> (2^a^2)/(2^b^2) ={(2)^(a^2-b^2)}=2^(a-b)(a+b). Since a-b=6/4 and a+b=8, 2^(a-b)(a+b)=2^(6/4)(8)=2^12=4096
Therefore, the answer is C
The answer is: C
|
C
|
mathematics
|
Roy is now 6 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be twice as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?
|
[
"84",
"96",
"100",
"108",
"120"
] |
R = J+6 = K+3
R+2 = 2(J+2)
(J+6)+2 = 2J+4
J = 4
R = 10
K = 7
In 2 years (R+2)(K+2) = 12*9 = 108
The answer is D.
The answer is: D
|
D
|
mathematics
|
The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference q would have been how much?
|
[
"40/3",
"40",
"120",
"360",
"420"
] |
CASE 1:
Deposit = $x;
Rate of increase = r.
Interest yearned in 1 year = xr. Deposit in 1 year = x + xr.
Interest yearned in 2 year = (x + xr)r.
The difference q= (x + xr)r - xr = xr^2 = 40.
CASE 2:
Deposit = $x;
Rate of increase = 3r.
Interest yearned in 1 year = x(3r). Deposit in 1 year = x + 3xr.
Interest yearned in 2 year = (x + 3xr)3r.
The difference = (x + 3xr)3r - 3xr = 9xr^2. Since from CASE 1 we know that xr^2 = 40, then 9xr^2 = 9*40 = 360.
Answer: D.
The answer is: D
|
D
|
mathematics
|
The cost of a car was $3,000 in 1960. In 2010, the price had increased to $5,000. What was the percent increase in the cost of the car?
|
[
"33.3%",
"45%",
"60%",
"66.6%",
"55.8%"
] |
Increase = 5000-3000 = 2000
% increase = 2000*100/3000 = 66.6%
Answer: option D
The answer is: D
|
D
|
mathematics
|
By selling 99 pencil, a trader gains the cost of 33 Pencil. Find his gain percentage?
|
[
"26 1/3%",
"51 1/3%",
"33 1/3%",
"53 1/3%",
"34 1/3%"
] |
C
33 1/3%
Let the CP of each pencil be Rs. 1.
CP of 99 pens = Rs. 99
Profit = Cost of 33 pencil = Rs. 33
Profit% = 33/99 * 100 = 33 1/3%
The answer is: C
|
C
|
mathematics
|
The average weight of 40 girls sitting in a bus had some value. A new girl added to them whose weight was 60 kg only. Due to her arrival, the average weight of all the girls decreased by 20 kg. Find the average weight of first 40 boys?
|
[
"850",
"80",
"176",
"500",
"880"
] |
40x + 60 = 41(x – 20)
x = 880
E
The answer is: E
|
E
|
mathematics
|
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 48/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
|
[
"$20000",
"$15000",
"$12000",
"$10000",
"$9000"
] |
Since investment doubles in 48/r years, then for r=8 it'll double in 48/8=~6 years (we are not asked about the exact amount so such an approximation will do). Thus after 18 years investment will become $5,000*3=$15,000 .
Answer: B.
The answer is: B
|
B
|
mathematics
|
Two fair die with sides numbered 1 to 6 are tossed. What is the probability that the sum of the exposed faces on the die is a prime number?
|
[
"5/11!",
"7/8!",
"5/9!",
"15/21!",
"4/9!"
] |
Two dices are thrown ! So we may get 1+1 or 1+2 ... or 1+6.. or 2+6 or 3+6 etc
Therefore the total different sum values we can get are :2,3,4,5,6,7,8,9,10,11,12[Sample space] ----------------(1)
Out of these values, 5 numbers are primes i.e.2,3,5,7,11[Favorable events] --------------------(2)
From (1)(2)
The answer is5/11!!
Ans: A
The answer is: A
|
A
|
mathematics
|
What is the rate percent when the simple interest on Rs.800 amount to Rs.200 in 4 Years?
|
[
"5%",
"7%",
"6.25%",
"2%",
"4%"
] |
200 = (800*4*R)/100
R = 6.25%
Answer: C
The answer is: C
|
C
|
mathematics
|
Tough and Tricky questions: Combinations.
The product of the digits of the four-digit number h is 30. No two digits of h are identical. How many different numbers are possible values of h?
|
[
"24",
"30",
"36",
"42",
"54"
] |
Answer = A= 24
Let number =abcd
Given that a*b*c*d = 30
a,b,c,d can be 1,2,3,5
Number of ways = 4*3*2 = 24
The answer is: A
|
A
|
mathematics
|
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half yearly is
|
[
"6.06%",
"6.07%",
"6.08%",
"6.09%",
"None"
] |
Solution
Amount of Rs.100 for 1 year when compounded half yearly
= Rs.[100 x (1+3/100)2]
= Rs. 106.09%.
Effective rate = (106.09 - 100)%
= Rs. 6.09%.
Answer D
The answer is: D
|
D
|
mathematics
|
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?
|
[
"6",
"5",
"10",
"4",
"2"
] |
28 * 2 = 56
22 * 3 = 66
-----------
10 years.Answer: C
The answer is: C
|
C
|
mathematics
|
A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
|
[
"15",
"16",
"17",
"18",
"19"
] |
A's 1day work=1/20;
B's 1day work=1/30;
(A+B) 1day work=(1/20+1/30)=1/12;
It is given that A leaves the work 10 days before completion of the project..
Thus,B alone does the remaining job in 10 days.
So,In 10 days ,B can do 1/3 w ..
Thus,(A+B) have worked (1-1/3)=2/3 w..
(A+B)can do 1/12 work in 1 day...
They did 2/3 w in 8 days.
Total days=(8+10) = 18
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The side of a square is increased by 25% then how much % does its area increases?
|
[
"56.28 %",
"56.25 %",
"56.75 %",
"52.25 %",
"56.25 %"
] |
a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer: B
The answer is: B
|
B
|
mathematics
|
If the price of 100 toys is 2500, then what will the price of 50 toys ?
|
[
"144",
"1250",
"117",
"287",
"112"
] |
One toy price = 2500/100 = 25
50 toy price = 50 * 25 = 1250
Answer : B
The answer is: B
|
B
|
mathematics
|
A chemical tank of capacity 2000m3 which is 65% full is found to be leaking. The chemical in the tank needs to be transported to a new destination using tanker trucks. If the capacity of a truck is 16m3 which can be filled upto 93% full. How many truck loads would be needed to transport the chemical?
|
[
"64",
"71",
"85",
"92",
"97"
] |
Volume of chemical in the tank=2000x0.65=1300
Volume of the truck=16x.93=15.36
Number of truck loads needed= 1300/15.36=84.63≈85
Answer: C
The answer is: C
|
C
|
mathematics
|
A letter lock consists of three rings each marked with EIGHT different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
|
[
"4002",
"4090",
"4095",
"177",
"123"
] |
Since each ring consists of eight different letters, the total number of attempts possible with the three rings is
= 8 * 8 * 8 = 4096. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 4096 - 1
= 4095
Answer:C
The answer is: C
|
C
|
mathematics
|
How many three letter words are formed using the letters of the word TIME?
|
[
"20",
"24",
"26",
"28",
"32"
] |
Explanation:
The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is ⁴P₃ = 4 * 3 * 2 = 24.
Answer: Option B
The answer is: B
|
B
|
mathematics
|
Each child has 2 pencils and 13 Skittles. If there are 9 children, how many pencils are there in total?
|
[
"16",
"12",
"18",
"22",
"08"
] |
2*9=18.Answer is C.
The answer is: C
|
C
|
mathematics
|
A cube is divided into 64 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
|
[
"12",
"16",
"20",
"24",
"30"
] |
Each side of the cube has 4 x 4 = 16 cubelets.
Only the interior cubelets are painted one colour.
On each side, 2 x 2 = 4 cubelets are painted one colour.
Since the cube has six sides, the number of cubes with one colour is 6*4 = 24
The answer is D.
The answer is: D
|
D
|
mathematics
|
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 3 kg more than Peter. Together the three of them picked 27 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
|
[
"6, 9 and 12",
"12, 9 and 6",
"9, 6 and 12",
"12, 6 and 9",
"6, 12 and 9"
] |
M = 2P
L = P+3
M + P + L = 27
2P + P + (P+3) = 27
P = 6, M = 12, L = 9
Therefore, Mary, Peter, and Lucy picked 12, 6, and 9 kg, respectively.
The answer is D.
The answer is: D
|
D
|
mathematics
|
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
|
[
"1",
"3",
"5",
"7",
"9"
] |
P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = 5
C
The answer is: C
|
C
|
mathematics
|
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
|
[
"15",
"30",
"36",
"45",
"54"
] |
no of women be A
no of men be B
in city X -> A=B/2-----(1)
in city Y -> A+5=B-10
B-A=15
from 1 B=2A sub in above equation
2A-A=15
A=15 means B=30
in the beginning no of passengers entered the bus is A+B=30+15=45
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 34 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
|
[
"17 litres",
"22.67 litres",
"11 litres",
"07 litres",
"38.67 litres"
] |
262.85(34)+3,104.35x = 1,399.45(34 + x)
Solve the equation.
262.85(34)+3,104.35x = 1,399.45(34 + x)
8936.9+ 3,104.35x = 47,581.3 + 1,399.45x
8936.9 + 1,704.9x = 47,581.3
1,704.9x = 38,644.40
x ≈ 22.67
Answer is B.
The answer is: B
|
B
|
mathematics
|
The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $76,875, how much profit did the business make?
|
[
"$98,000",
"$106,000",
"$112,000",
"$118,000",
"$123,000"
] |
Let P be the total profit.
P/4 + 1/2*(3P/4) = P/4 + 3P/8 = 5P/8 = $76,875
P = $123,000
The answer is E.
The answer is: E
|
E
|
mathematics
|
Express 25 mps in kmph?
|
[
"299",
"29",
"90",
"77",
"11"
] |
25 * 18/5 = 90 kmph Answer:C
The answer is: C
|
C
|
mathematics
|
A wooden box of dimensions 8m×7m×6m is to carrry rectangular boxes of dimensions 8cm×7cm×6cm . The maximum number of boxes that can be carried in 1 wooden box is :
|
[
"1200000",
"1000000",
"9800000",
"7500000",
"none"
] |
Explanation:
Number of boxes = Volume of wooden box in cm3/Volume of 1 small ball = 800×700×600/8×7×6=1000000
Correct Option: B
The answer is: B
|
B
|
mathematics
|
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 20% profit was earned which was equal to 98,000. What was the amount invested by R?
|
[
"2,10,000",
"1,05,000",
"1,75,000",
"Data inadequate",
"None of these"
] |
Ratio for amount invested by P, Q & R
= 5x × 12 : 6x × 12 : 6x × 6
= 60x : 72x : 36x
= 5x : 6x : 3x
Profit = 98000 = 20% of T
where, T = Total amount
T = 490000
Amount received by
R = 3x /3x+6x+5x(490000)
= 105000
Answer B
The answer is: B
|
B
|
mathematics
|
The total marks obtained by a student in Mathematics and Physics is 40 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
|
[
"40",
"30",
"25",
"Data inadequate",
"None of these."
] |
Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.
Given , M + C = 40 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (40 + 20) / 2 = 30.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
|
[
"37",
"240",
"288",
"267",
"165"
] |
Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 25)m = 375 m. Let the length of the platform be x meters. Then, (x + 375)/36 = 15 ==> x + 375 = 540 ==> x = 165 m.Answer: E
The answer is: E
|
E
|
mathematics
|
Excluding stoppages, the speed of the bus is 54 kms /hr and with stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
|
[
"9",
"10",
"11",
"12",
"20"
] |
By including stoppages, bus will cover 9km less..(54km -45km = 9km)
Excluding stoppages, x = 54 kmph
Including stoppages, y = 45 kmph
Difference, z = 9km
Time taken to cover that 9km(bus stops per hour(60minutes))= z/x(60minutes)
= 9/54(60)
= 1/6(60)
= 10minutes.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
|
[
"-1",
"-9",
"-7",
"-2",
"-4"
] |
Explanation:
19x + 19y + 17 = -19x + 19y - 21
38x = -38 => x = -1
Answer:A
The answer is: A
|
A
|
mathematics
|
If k is a non-negative integer and 18^k is a divisor of 624,938 then 6^k - k^6 =
|
[
"0",
"1",
"36",
"118",
"420"
] |
6+2+4+9+3+8 = 32, so this number is not divisible by 3 and thus not divisible by 18.
Therefore, k=0
6^k - k^6 =1-0=1
The answer is B.
The answer is: B
|
B
|
mathematics
|
The first three terms of a proportion are 5, 15 and 20. The fourth term is?
|
[
"60",
"65",
"89",
"78",
"88"
] |
(15*20)/5= 60
Answer:A
The answer is: A
|
A
|
mathematics
|
If a certain number when divided by the numbers 5,3,2 one after other successively, leaves a remainder 0,2,1 Then what will be the remainders if it is divided by the numbers 2,3,5
|
[
"1,2,0",
"1,2,1",
"1,2,2",
"1,2,3",
"1,2,4"
] |
The Number is 35 ,When divided by 5,3,2 leaves remainder 0,2,1 respectively.
So if 35 is divided by 2,3,5 leaves remainder 1,2,0 respectively.
ANSWER:A
The answer is: A
|
A
|
mathematics
|
Jane makes toy bears. When she works with an assistant, she makes 62 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%",
"100%",
"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 64.8 bears per 36 hours a week or 1.8 bears/hr ([40 bears * 1.62] / [40 hrs * .90]).
[(1.8 - 1)/1] * 100% = 80%
ANSWER:B
The answer is: B
|
B
|
mathematics
|
If a = 105 and a^3= 21 * 25 * 15 * b, what is the value of b?
|
[
"35",
"42",
"45",
"147",
"54"
] |
First step will be to break down all the numbers into their prime factors.
105 = 3 * 5 * 7
21 = 7 * 3
25 = 5 * 5
15 = 3 * 5
so, (105)^3 = 3 * 7 * 5 * 5 *3 *5 *b
Therefore (3 * 5 * 7) ^ 3 = 3^2 * 5^3 * 7 *b
Therefore, b = 3^3 * 5^3 * 7 ^3/3 ^2 * 5 ^3 * 7
b = 3*7^2 =3* 49=147
Correct answer D.
The answer is: D
|
D
|
mathematics
|
Which is better investment 11% stock at 143 or 9 ¾% stock at 117
|
[
"11 % stock at 143",
"9 3/4 stock at 117",
"both",
"cannot be compared",
"none of these"
] |
Let the investment in each (143*117)
Income in first case = (11/143*143*117)=1287
Income in second case=((39/117*4)*143*117)=1394.25
Clearly, 9 ¾% stock at 117
ANSWER B
The answer is: B
|
B
|
mathematics
|
Peter takes a loan of $100,000 with 12% annual interest: the interest is paid once, at the end of the year. Martha takes a loan of $100,000 with 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's loan interest, approximately how much more does Martha have to repay?
|
[
"$68.25",
"Zero",
"$6825.00",
"$6.82",
"$682.50"
] |
Peters interest= $100,000*0.12 = $12,000 or $1,000 each month.
Martha’s interest, 12%/12 = 1% each month:
For the 1st month = $100,000*0.01 = $1,000;
For the 2nd month = $1,000 + 1% of 1,000 = $1,010, so we would have interest earned on interest (very small amount);
For the 3rd month = $1,010 + 1% of 1,010 = ~$1,020;
For the 4th month = $1,020 + 1% of 1,020 = ~$1,030;
...
For the 12th month = $1,100 + 1% of 1,100 = ~$1,110.
The difference between Peters interest and Martha’s interest = ~(10 + 20 + ... + 110) = $660.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A certain car averages 35 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
|
[
"28",
"30",
"33",
"39",
"38"
] |
Answer D
No of Miles per Gallon = Total no of miles/Total no of Gallons
=10+50/(10/35+50/40) ~ 39.06
The answer is: D
|
D
|
mathematics
|
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
|
[
"140 sq.units",
"149",
"148",
"17",
"143"
] |
Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10 = 140 sq.units
Answer: Option A
The answer is: A
|
A
|
mathematics
|
X is the largest prime number less than positive integer N. P is an integer such that P = X – 16. Also, Z = 1*2*…*P√P. If N is the first non-zero perfect square whose tens digit and units digit are same, How many different prime factors does Z have?
|
[
"4",
"5",
"6",
"160",
"320"
] |
If N is the first perfect square whose tens digit and units digit are same, then N=100.
X is the largest prime number less than positive integer N , then X is
97.
P is an integer such that P = X – 16.
So P=81
Z=(P^1/2)! = 9!
How many different prime factors does Z have?
Answer 4 (2,3,5,7)
ANSWER:A
The answer is: A
|
A
|
mathematics
|
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 7.5 m x 6 m x 22.5 cm?
|
[
"6000",
"6410",
"6440",
"6500",
"6800"
] |
Number of bricks = Volume of Wall/Volume of Bricks
=750x600x22.5/25x11.25x6= = 6000
answer :A
The answer is: A
|
A
|
mathematics
|
Which of the following will give a non-integer on taking cube root?
|
[
"–64",
"–1",
"8",
"9",
"27"
] |
all except 9, square root of 9 is 3 which is an integer but cube root is not an integer
so answer is D
The answer is: D
|
D
|
mathematics
|
Which of the following is a prime number ??
|
[
"33",
"81",
"89",
"93",
"10"
] |
C
89
Clearly, 89 is a prime number.
The answer is: C
|
C
|
mathematics
|
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
|
[
"3.6 sec",
"18 sec",
"36 sec",
"72 sec",
"None"
] |
Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 9 meters. What is value of the radius in meters?
|
[
"1/2",
"1/3",
"1.5",
"3",
"6"
] |
10*0.31 = 3.1 = pi*R^2*h
R^2 = 3.1 / (pi*9) which is about 1/9
R = 1/3
The answer is B.
The answer is: B
|
B
|
mathematics
|
A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 7 km/hr. What is the average speed for the entire trip?
|
[
"7.59",
"7.79",
"7.99",
"8.19",
"8.39"
] |
distance = 17 km
time = 7/10 + 10/7 = (49 + 100) / 70 = 149 / 70 hours
average speed = (17 * 70) / 149 = 7.99 km/h
The answer is C.
The answer is: C
|
C
|
mathematics
|
A group of men decided to do a work in 15days, but 8 of them became absent. If the rest of the group did the work in 18days, Find the original number of men?
|
[
"15",
"48",
"54",
"33",
"45"
] |
Original number of men = 8*18 / (18-15) = 48
Answer is B
The answer is: B
|
B
|
mathematics
|
4 dice are thrown simultaneously on the board. Find the probability show the same face.
|
[
"1/121",
"1/213",
"1/216",
"2/211",
"3/213"
] |
The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
The answer is: C
|
C
|
mathematics
|
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
|
[
"100",
"150",
"50",
"250",
"75"
] |
Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.
Then, sum of their values = Rs. ((25x/100) + (10 x 2x/100)+(5 x 3x)/100= Rs. 60x/100
Therefore, 60x/100 = 30
x = 30 x 100/60 = 50.
Hence, the number of 5 p coins = (3 x 50) = 150.
Answer is B.
The answer is: B
|
B
|
mathematics
|
The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
|
[
"7 years",
"5 years",
"4 years",
"6 years",
"3 years"
] |
100 ---- 300 --- 3
900 --- 3
----
6 years
Answer:D
The answer is: D
|
D
|
mathematics
|
Submarine P and Submarine Q are equipped with sonar devices that can operate within a 2,000 yard range. Submarine P remains in place while Submarine Q moves 1,700 yards south from Submarine P. Submarine Q then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine Q continue to move and still be within the sonar range of Submarine P? I. North II. South III. West
|
[
"III only",
"I,II only",
"II only",
"I only",
"I and III only"
] |
It's evident if we make a diagram for the Movement of Q respect to P.
From its South position to the east position, it has covered the maximum radius for the south direction. Similarly, it's east movement further will also make it out of range.
Thus it can only move north or west or anything in that curve.
Answer : E
The answer is: E
|
E
|
mathematics
|
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 40% profit?
|
[
"277",
"960",
"896",
"266",
"121"
] |
Let C.P. = Rs. x.
Then, 832 - x = x - 448
2x = 1280 => x = 640
Required S.P. = 14% of Rs. 640 = 140/100 * 640 = Rs. 896.
Answer: C
The answer is: C
|
C
|
mathematics
|
How many integers between 1000 and 10000 have
no digits other than 4, 5 or 6?
|
[
"91",
"51",
"81",
"71",
"61"
] |
Any number between 1,000 and 10,000 is of 4 digits. The unit’s place can be filled up by 4,5 or 6, that is, in 3 ways.
Similarly, the ten’s place can be filled up by 4 or 5 or 6, that is in 3 ways. The hundred’s place can be filled up by 4, 5 or 6, that is in 3 ways and the thousand’s place can.be filled up by 4 or 5 or 6, that is, in 3 ways.
Hence the required numbers = 3 x 3 x 3 x 3 = 81
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Define q* by the equation q* = π-q. Then ((−π)*)* =
|
[
"−2π",
"-1",
"−π",
"2π",
"4π"
] |
for q* f(f(−π)) = f(π − (−π)) = f(π + π) = f(2π) = π − 2π = −π=C
The answer is: C
|
C
|
mathematics
|
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
|
[
"1 kmph",
"6 kmph",
"8 kmph",
"9 kmph",
"3 kmph"
] |
DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: A
The answer is: A
|
A
|
mathematics
|
A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction R of the selected films are in color?
|
[
"1/130",
"1/5",
"3/13",
"10/13",
"30/31"
] |
It's y/xpercentnot y/x.
If x=20 and y=10. Then:
20x=400 black-and-white films;
6y=60 color films.
y/x%=10/20%=0.5% of the black-and-white films, so 2 black-and-white films and all 60 color films, thus total of 62 films were selected.
Color films thus compose R=60/62=30/31 of the selected films.
Answer: E.
The answer is: E
|
E
|
mathematics
|
John makes $30 a week from his job. He earns a raise andnow makes $40 a week. What is the % increase?
|
[
"16%",
"33.33%",
"33.69%",
"33.98%",
"37%"
] |
Increase = (10/30)*100 = (1/3)*100 = 33.33%.
B
The answer is: B
|
B
|
mathematics
|
If 21,394 + x is a multiple of 3, which of the following could be the value of x?
|
[
"1",
"2",
"3",
"4",
"6"
] |
Sum of the digits of 21,394 is 2+1+3+9+4 = 19
Now 19 is not a multiple of 3, the next multiple of 3 close to 19 is 21, which is 2 added to 19.
So the least number to be added to 21,394 is 2
B
The answer is: B
|
B
|
mathematics
|
If Rs. 782 be divided into three parts, proportional to 1/2:2/3 :3/4, then the first part is:
|
[
"402",
"408",
"48",
"24",
"204"
] |
Given ratio = 1/2: 2/3:3/4
= 6 : 8 : 9.
Therefore, 1st part = Rs. (782 x 6/23)= Rs. 204.
Answer is E.
The answer is: E
|
E
|
mathematics
|
In a school where there are more than 100 students when they are grouped into 12 and 16, always 6 students remain ungrouped. What would be the minimum number of new students to be registered to this school such that when they are grouped into 20 then none of the stundents remains ungrouped ?
|
[
"6",
"8",
"9",
"10",
"12"
] |
S=12a+6=16b+6
6a = 8b --> for S>100 min(a,b) = (12,9)
then number of stundent in school --> 12*12 +6 = 150
20k = 150 + x so that none will be ungrouped --> min( k) = 8 then
20*8 =150 + x
x = 10 new students to be registered
ANSWER: D
The answer is: D
|
D
|
mathematics
|
Six animals of a circus has to be placed inside in six cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
|
[
"A.240",
"B.808250",
"C.502450",
"D.784200",
"E.302400"
] |
ways for cages that are too small = 5*4*3*2=120
since we have 2 cages and 2 animal left therefore ways for 2 cages =2!
total ways =120*2!=604800
Answer A
The answer is: A
|
A
|
mathematics
|
How many positive even integers less than 100 contain digits 3 or 7?
|
[
"16",
"17",
"18",
"10",
"20"
] |
Two digit numbers:
3 at tens place: 30,32,34,36,38
7 at tens place: 70,72,74,76,78
If 3 and 7 is at units place, the number cant be even
Total:5+5= 10
Answer D
The answer is: D
|
D
|
mathematics
|
Seven consecutive traffic signals each show either red or green. How many different arrangements of the seven signals are possible?
|
[
"40",
"69",
"88",
"128",
"156"
] |
Since the answer choices to the question are so small (relatively speaking), you can get to the correct answer without having to do any fancy calculations. With a drawing and a bit of 'brute force', you can answer this question relatively quickly.
We're told that 7 consecutive traffic signals each show either red or green. We're asked how many different arrangements of the 7 signals are possible.
Total Options: 128
Final Answer:
D
The answer is: D
|
D
|
mathematics
|
If the area of a circle is 81pi square feet, find its circumference.
|
[
"8",
"28",
"18",
"48",
"38"
] |
The area is given by pi × r × r. Hence
pi × r × r = 81 pi
r × r = 81 ; hence r = 81 feet
The circumference is given by
2 × pi × r = 2 × pi × 9 = 18 pi feet
correct answer C
The answer is: C
|
C
|
mathematics
|
Which of the following is a possible length for side AB of triangle ABC if AC = 3 and BC = 10?
I. 7
II. 9 √3
III. 11.5
|
[
"I only",
"II only",
"III only",
"II and III",
"I, II, and III"
] |
(10-3) < AB < (10+3)
The answer is C.
The answer is: C
|
C
|
mathematics
|
The perimeter of a rectangle is 60 mete(132)7 × (132)? = (132)11.5.
|
[
"3",
"3.5",
"4",
"4.5",
"5"
] |
7+x=11.5
x=11.5-7
x=4.5
ANSWER:D
The answer is: D
|
D
|
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