RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Statements: Population increase coupled with depleting resources is going to be the scenario of many developing countries in days to come. Conclusions: 1) The population of developing countries will not continue to increase in future. 2) It will be very difficult for the governments of developing countries to provide its people decent quality of life.
A.Only conclusion I follows
B.Only conclusion II follows
C.Either I or II follows
D.Neither I nor II follows
Answer: B.Only conclusion II follows
Explanation: The fact given in I is quite contrary to the given statement. So, I does not follow. II mentions the direct implications of the state discussed in the statement. Thus, II follows.
B
Question: Which number need to add to 172835 to get a number exactly divisible by 136?
A.27
B.25
C.26
D.21
Answer: D.21
Explanation: 172835 / 136 = 1270 and reminder = 115.
136-115 = 21
So, the next number divisible by 115 is 21 places in front of 172835
Which means 21 + 172835 =172856
21 should be added to 172835
D
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A.17 kmph
B.40 kmph
C.16 kmph
D.18 kmph
Answer: B.40 kmph
Explanation: Speed downstream
= 60 + 20 = 80 kmph
Speed upstream
= 60 - 20
= 40 kmph
Answer:B
Question: The market value of a certain machine decreased by 30 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $10,000, what was its market value two years later?
A. $8,000
B. $4,000
C. $3,200
D. $2,400
Answer: B. $4,000
Explanation: B.
Market value in 1982= $ 10000
Market value in 1983 = $ 10000- ($ 10000 x 30/100) = 10000-3000= $ 7000
Market value in 1984 = Market value in 1983 - (30 % of $10000)= 7000-3000 = $4000
Question: Ayesha's father was 40 years of age when she was born while her mother was 32 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.12 years
B.14 years
C.16 years
D.7 years
Answer: A.12 years
Explanation: Explanation:
Mother's age when Ayesha's brother was born = 32 years.
Father's age when Ayesha's brother was born = (40 + 4) = 44 years.
Required difference = (44 - 32) = 12 years.
Answer: Option A
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 5/6 of the same job. How many days will 10 men and 8 women together take to complete the same job?
A.6
B.13 1â„2
C.13
D.Data inadequate
Answer: C.13
Explanation: 12 M Ã— 18 = 12 W Ã— 18 Ã— 6/5
\ w = 5/6 M
10M + 8W = 10M + 8 Ã— 5/6M = 16 2/3 M
\16 2/3men can complete the same work
in 12Ã—18/16 2/3=13 days
Answer C
Question: Rectangular tile each of size 25cm by 65cm must be laid horizontally on a rectangular floor of size 150cm by 390cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
A.50
B.40
C.25
D.36
Answer: D.36
Explanation: Area of tile = 25*65 = 1625
Area of floor = 150*390 = 58500
No of tiles = 58500/1625 = 36
So, the no of tile = 36
ANSWER:D
Question: Simplify (5^y + 5^y + 5^y + 5^y + 5^y) (4^y + 4^y + 4^y + 4^y)
A. 4^4y * 3^3y
B. 20^y+1
C. 16^y + 9^y
D. 12^y
Answer: B. 20^y+1
Explanation: ans B
(5^y + 5^y + 5^y + 5^y + 5^y) (4^y + 4^y + 4^y + 4^y)
(5*5^y)(4*4^y)
20*20^y=20^(y+1)..
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A.250
B.276
C.280
D.285
Answer: D.285
Explanation: Since the month begins with sunday,to there will be five sundays in the month
Average required = (510x5 + 240x25 /30) = 8550/30 =285
Answer: Option D
Question: Find a sum for 1st 6 prime number's?
A.41
B.28
C.30
D.34
Answer: A.41
Explanation: Required sum = (2 + 3 + 5 + 7 + 11 + 13) = 41
Note: 1 is not a prime number
Option A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
A.4500
B.5000
C.6000
D.6500
Answer: A.4500
Explanation: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8500 = 34000 ----(2)
(2)-(1) i.e. May - Jan = 2000
Salary of May is Rs.6500
Salary of January = Rs.4500
ANSWER A
Question: The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
A.170
B.185
C.190
D.196
Answer: B.185
Explanation: 185
Answer is B
Question: Set S consists of integers {6, 7, 10, 12, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 40%. What is the value of integer n?
A.26
B.30
C.34
D.38
Answer: C.34
Explanation: The average of the numbers in set S is 10.
If we increase the mean by 40%, the new mean is 14.
Thus, on average, 5 numbers increase by 4.
Therefore n = 14+20 = 34
The answer is C.
Question: A local bank that has 9 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 9 codes?
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: Pick any two integer.
Integers: 12
Code: 11, 12, 21, 22 = 4 Codes
Add one more integer: 3
13, 31, 33, 23, 32 = 5 Codes
Total = 9 Codes. Enough. Answer: A
Question: The area of square ABCD above is 12. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
A.18−9∗π
B.12−3∗π
C.9+9/4∗π
D.9+9/2∗π
Answer: B.12−3∗π
Explanation: =Square - Quarter circle
=12- pi*12/4
=12- pi*3
ANSWER:B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
A.23.57
B.23.54
C.23.50
D.23.55
Answer: A.23.57
Explanation: Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circimference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places
Answer: A
Question: find the odd man out:1,3,10,21,64,129,356,777
A.3
B.10
C.21
D.64
Answer: D.64
Explanation: 1=1
3=3
10=1+0=1
21=2+1=3
64=6+4=10=1+0=1
129=1+2+9=12=1+2=3
356=3+5+6=14=1+4=5( wrong one.. it should be 1)
777=7+7+7=21=2+1=3
Alternative 1 and 3 series..
ANSWER:D
Question: In a party attended by 12 persons, each clinch their glass with every other. How many glass clinches?
A.51
B.52
C.53
D.66
Answer: D.66
Explanation: Total no. of person = 12
Total no. of glass clinches = n(n-1)/2
=12*11/2
= 66
ANSWER:D
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
A.384
B.826
C.207
D.269
Answer: A.384
Explanation: Average mark scored by all the three boys =
[64/100 (800) + 36/100 (800) + 44/100 (800)] / 3
= 384
Answer: A
Question: A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 28 adults have their meal, find the total number of children that can be catered with the remaining food.
A.42
B.54
C.90
D.70
Answer: B.54
Explanation: Explanation:
As there is meal for 70 adults and 28 have their meal, the meal left can be catered to 42 adults.
Now, 70 adults = 90 children
7 adults = 9 children
Therefore, 42 adults = 54 children
Hence, the meal can be catered to 54 children
ANSWER B
Question: Life expectancy is defined by the formula 2SB/G, where S = shoe size, B = average monthly electric bill in dollars, and G = GMAT score. If Melvin's GMAT score is twice his monthly electric bill, and his life expectancy is 70, what is his shoe size?
A.75
B.70
C.65
D.40
Answer: B.70
Explanation: Solution -
Given that, G = 2B and Life expectancy(L) = 70
L=2SB/G -> 70 = 2SB/2B --> S=70.
ANS B
Question: The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
A.56
B.86
C.25
D.76
Answer: D.76
Explanation: Average after 11 innings = 36
Required number of runs
= (36 * 11) - (32 * 10)
= 396 - 320
= 76.
Answer:D
Question: For all integers a and b, a%b = (a + b)(a - b). If 8%x = 15, then which of the following could be a value of x?
A.-7
B.-6
C.2
D.3
Answer: A.-7
Explanation: 8%x = (8+x)(8-x)
64-x^2 = 15
x^2 = 49
x=-7,7
Ans: A
Question: 1+2+2^2+2^3+2^4+2^5+2^6+2^7=？
A.(2^4-1)(2^4+1)
B.2^6+1
C.2^5-1
D.2^5+1
Answer: A.(2^4-1)(2^4+1)
Explanation: From 1+2+2^2+2^3+2^4+2^5+2^6+2^7=1(2^8-1)/(2-1)=2^8-1=(2^4-1)(2^4+1), the correct answer is A.
Question: One card is drawn from a pack of 52 cards. What is the probability that the card drawn is a face card?
A.4/13
B.5/16
C.9/17
D.2/5
Answer: A.4/13
Explanation: Out of 52 cards there will be 16 face cards are there.
probability of getting a face card = 16/52 = 4/13
Answer is A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
A.20
B.42
C.22
D.23
Answer: B.42
Explanation: Sol.
Let the total number of workers be x. Then,
8000x = (18000 × 7) + 6000 ( x – 7)
‹=› 2000x = 84000
‹=› x = 42.
Answer B
Question: Find the number of selections that can be made taking 4 letters from the word "ENTRANCE".
A.70
B.36
C.35
D.72
Answer: B.36
Explanation: We have 8 letters from which 6 are unique.
Possible scenarios for 4 letter selection are:
A. All letters are different;
B. 2 N-s and other letters are different;
C. 2 E-s and other letters are different;
D. 2 N-s, 2 E-s.
Let's count them separately:
A. All letters are different, means that basically we are choosing 4 letters form 6 distinct letters: 6C4=15;
B. 2 N-s and other letters are different: 2C2(2 N-s out of 2)*5C2(other 2 letters from distinct 5 letters left)=10;
C. 2 E-s and other letters are different: 2C2(2 E-s out of 2)*5C2(other 2 letters from distinct 5 letters left)=10;;
D. 2 N-s, 2 E-s: 2C2*2C2=1.
15+10+10+1=36
Answer: B.
Question: The average of 30 numbers is 25. If each number is multiplied by 5, find the new average?
A.115
B.125
C.135
D.145
Answer: B.125
Explanation: Sum of the 30 numbers = 30 * 25 = 750
If each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.
Thus, the new average = 25 * 5 = 125.
ANSWER:B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
A.40%
B.45%
C.55%
D.60%
Answer: D.60%
Explanation: As it's a percentage problem, start with $100.
The first discount is 25% of $100, so the sales prices is 75% of $100 = $75.
The second discount is 20% of $75. Move the decimal once to the left and double it = $7.5*2 = $15.
The final sales price is $75-$15 = $60, which is 60% of $100.
The correct answer is D
Question: Find the greatest number which is such that when794, 858 and 1351 are divided by it, the remainders are all same.
A.1
B.5
C.6
D.7
Answer: A.1
Explanation: Given, the remainders are same i.e. differences of that numbers are exactly divisible. Hence, you have to find HCF (x–y, y–z, z–x). 858–794 = 64; 1351–794 = 557; 1351–858 = 493. HCF of (64, 557, 493) = 1.
Answer:A
Question: Find the annual income derived by investing $ 6800 in 50% stock at 136.
A.550
B.2500
C.250
D.3000
Answer: B.2500
Explanation: By investing $ 136, income obtained = $ 50.
By investing $ 6800, income obtained = $ [(50/136)*6800] = $ 2500.
Answer B.
Question: How many even multiples of 15 are there between 149 and 301?
A.5
B.6
C.9
D.10
Answer: B.6
Explanation: 150 = 10*15
300 = 20*15
The even multiples are 15 multiplied by 10, 12, 14, 16, 18, and 20 for a total of 6.
The answer is B.
Question: A team P of 20 engineers can complete work or task in 32 days. Another team Q of 16 engineers can complete same task in 30 days.Then the ratio of working capacity of 1 member of P to the 1 member of Q is
a. 3 : 2
A.22
B.34
C.77
D.29
Answer: B.34
Explanation: Explanation:
Let the capacity of an engineer in P = x units, and in Q = y units.
Working capacity of P = x × 32 × 20
Working capacity of Q = y × 16 × 30
As the total work is same, we equate the above equations.
⇒ x × 32 × 20 = y × 16 × 30
⇒ xy=16×3032×20=34
Answer: B
Question: 8 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?
A.51
B.52
C.55
D.56
Answer: C.55
Explanation: There are 11 candidates and a voter has to vote for any two of them.
So, the required number of ways is,
= 11C2 = 55.
C
Question: A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
A.88 days
B.27 days
C.78 days
D.60 days
Answer: D.60 days
Explanation: A = 140 days
B = 105 days
1/140 + 1/105 = 7/420 = 1/60
=>60 days
Answer: D
Question: What is the least common multiple of 8,12,32,14
A.672
B.682
C.328
D.964
Answer: A.672
Explanation: The given numbers are 8,12,32,14
thus the l.c.m is 2*2*2*1*3*4*7=672
the answer is A
Question: Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank?
A.60
B.70
C.82
D.77
Answer: B.70
Explanation: B
70
In this series, 5 is added to the previous number; the number 70 is inserted as every third number.
Question: The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $42.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall?
A.20.8
B.30.4
C.31.8
D.39.1
Answer: D.39.1
Explanation: $69-$42=27$
(27/69)*100=39.13%
ANSWER:D
Question: The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number Q?
A.60
B.80
C.40
D.120
Answer: B.80
Explanation: (1 + 1/8)x - (1 - 1/4)x = 30
(9/8)x - (3/4)x = 30
x = 80=Q
Answer: B
Question: A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?
A.15 min
B.20 min
C.27.5 min
D.30 min
Answer: D.30 min
Explanation: et total time consumed in filling the tank is n.
(A+B)'s 1 minute work is 1/60 + 1/40 and (A+B) will take half of total time ie
(n/2)(1/60 + 1/40)----------(1)
and rest half will be filled by B only in half of total time means (n/2)(1/40)--(2)
(1)+(2)
(n/2)(1/60 + 1/40) + (n/2)(1/40)=1
n=30
ANSWER:D
Question: What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
A.2000
B.1300
C.3000
D.4300
Answer: C.3000
Explanation: A.P.=(200X12900)/[4(200+5X3)]=3000 Ans
Alternative
100+105+110+115=12900
430=12900
100=12900/(430)X100=3000
C
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 00,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
A.50,000 km.
B.60,000 km.
C.70,000 km.
D.80,000 km.
Answer: D.80,000 km.
Explanation: Solution:
80,000.
Explanation:
The distance traveled by each tyre:
4/5 * 1, 00, 000km = 80,000 km.
Answer D
Question: One-third of 1206 is what percent of 400 ?
A.3
B.30
C.300
D.100.5
Answer: D.100.5
Explanation: Answer
Let one-third of 1206 is N% of 400.
∵ 1206/3 = (N x 400)/100
∴ N = (402 x 100) / 400 = 100.5
Correct Option: D
Question: When 24 is divided by the positive integer i, the remainder is 4. Which of the following statements about i must be true?
I. i is even
II. i is a multiple of 5
III. i is a factor of 20
A.III only
B.I and II only
C.I and III only
D.II and III only
Answer: D.II and III only
Explanation: 24= m*i + 4
m*i=20
put values of m
m=1 i=20
m=2 i=10
m=4 i=5
I. not true
II. true
III. true
D. correct
Question: In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is nine years older than Ellen, how old is Aaron?
A.1.5–5
B.6–10
C.11–15
D.16–20
Answer: A.1.5–5
Explanation: Let David's present age be 'd', Aaron's present age be 'a' and Ellen's present age be 'e'
In ten years, David will be four times as old as Aaron --> d+10 = 4(a+10)
Twenty years ago, David was twice as old as Ellen --> d-20 = 2(e-20)
David is seven years older than Ellen --> d = e + 9
e+9-20 = 2e-40
e-11 = 2e-40
e = 29
d = 36
46 = 4a + 40
a = 1.5
Answer: A
Question: A certain industrial machine requires 15 quarts (480 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 8% special additives. If the machine needs exactly 40 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture?
A.a.	A – 53.33
B.b.	B – 280
C.c. C – 290
D.d.	D – 300
Answer: A.a.	A – 53.33
Explanation: 5%*x + 8% *(480-x)=40
1.6 = 3 %*x
x=53.33
A
Question: How many positive integers y less than 30 have no common prime factor with 30?
A.5
B.6
C.7
D.8
Answer: D.8
Explanation: y=30=2*3*5. So, the number must be less than 30 and not have primes 2, 3, or 5.
This means that the number could be: 1, 7, 11, 13, 17, 19, 23, or 29. Total of 8 numbers.
Answer: D.
Question: A man covered a certain distance at a speed of 8 Kmph and returned at a speed of 4 Kmph. Find the average speed of whole journey?
A.5 2/3 Kmph
B.5 1/3 Kmph
C.5 4/3 Kmph
D.6 1/3 Kmph
Answer: B.5 1/3 Kmph
Explanation: Option 'B'
Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A.14
B.15
C.21
D.23
Answer: B.15
Explanation: Explanation:
In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
Answer is B
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time were there 32 million bacteria in the dish?
A.6: 00 p.m.
B.8: 00 p.m.
C.6: 00 a.m
D.8: 00 a.m.
Answer: D.8: 00 a.m.
Explanation: Given:
he number of bacteria in a petri dish increased by 50 percent every 2 hours
There were 108 million bacteria in the dish at 2: 00 p.m
Since the bacteria is increasing by 50% every 2 hours, this means that the number is multiplied by 1.5 every 2 hours.
Required: At what time were there 32 million bacteria in the dish?
Assume that there were n intervals of 2 hours between 32 million and 108 million.
32 * (1.5)^n = 108
(3/2)^n = 108/32 = 27/8 = (3/2)^3
Hence n = 3 intervals.
Each interval was of 2 hours. Therefore, the number of hours = 6
Subtracting 6 hours from 2 PM, we get 8 AM as the answer.
Option D
Question: When positive integer n is divided by 3, the remainder is 1. When n is divided by 5, the remainder is 4. What is the smallest positive integer p, such that (n + p) is a multiple of 11?
A.1
B.2
C.5
D.7
Answer: D.7
Explanation: When positive integer n is divided by 3, the remainder is 1 i.e., n=3x+1
values of n can be one of {1, 4, 7, 10, 13, 16, 19, 22..............49, 52, 59..................}
Similarly,
When n is divided by 5, the remainder is 5..i.e., n=5y+4
values of n can be one of {4, 9, 14, 19,...}
combining both the sets we get
n={4,19, 52, ...........}
What is the smallest positive integer p, such that (n + p) is a multiple of 11 or 11x
in case of n=4 p=7
so for min value of p, we take min value of n.
D is the answer.
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
A.1888
B.2766
C.2999
D.1900
Answer: D.1900
Explanation: 2000 ---- 54
2000 ---- 39
x ----- 20
x*20 = 2000*39
x = 3900
2000
-------
1900
Answer: D
Question: Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 25 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
A.A) 6.24
B.B) 13.1
C.C) 10
D.D) 15
Answer: B.B) 13.1
Explanation: Old time in minutes to cross 10 miles stretch = 10*60/55 = 10*12/11 = 10.9
New time in minutes to cross 10 miles stretch = 10*60/25 = 10*12/5 = 24
Time difference = 13.1
Ans:B
Question: By doing some calculation, 2+3=18, 3+5=42, 6+2=48 and find 5+6=??
A.74
B.70
C.72
D.76
Answer: C.72
Explanation: Given 2+3=18==> (2^2+3^2)+(2+3)=18
3+5=42==> (3^2+5^2)+(3+5)=42
6+2=48==> (6^2+2^2)+(6+2)=48
So 5+6=72==> (5^2+6^2)+(5+6)=72
ANSWER:C
Question: Average of money that group of 4 friends pay for rent each month is $800.After one persons rent is increased by 20% the new mean is $880.What was original rent of friend whose rent is increased?
A.800
B.900
C.1600
D.1100
Answer: C.1600
Explanation: 0.2X = 4(880-800)
0.2X = 320
X = 1600
Answer C
Question: Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 65.4 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?
A.0.08
B.1.0
C.1.1
D.1.5
Answer: D.1.5
Explanation: Change in production of motor vehicles = 65.4 - 3.9 = 61.5 million in 41 years (1987 - 1946)
average increase per year = 61.5/41 = 1.5 million (apporx.)
Answer (D)
Question: If C + D = 15 and C and D are any numbers, which of the following is a possible value for 8C + 5D?
A.99
B.29
C.0
D.09
Answer: C.0
Explanation: c + d = 15
8c + 5d = 3c + 5C + 5d = 5(c+d) + 3C = 5(15) + 3C=75 + 3C= c=-25
Now 3C is a multiple of 3, so the right answer should be 75 + multiple of 3.
c+d=15=-25+d=15=d=40
So, 0 is the right answer
Hence, C is the right answer.
Question: If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average T(arithmetic mean) annual increase in the index over this period?
A. (x + 100)/18
B. x/18
C. (100 − x)/18
D. (x − 100)/18
Answer: D. (x − 100)/18
Explanation: CPI in end of 1967 = 100
CPI in end of 1985 = x
Number of years = 18
Average annual increase in CPI T= (x-100)/18
Answer D
Question: Each side of a certain parallelogram has length 8. If the area of the parallelogram is 24. Which of the following is the measure of one of its angles?
A.22
B.45
C.60
D.90
Answer: A.22
Explanation: area of a parallelogram = b*h
b*h=24
h=24/8=3
sin theta =opp/hyp = 3/8
theta = sin inv of 3/8 = 22 deg
A
Question: Find out the wrong number in the given sequence of numbers.
52, 51, 48, 43, 34, 27, 16
A.22
B.34
C.77
D.99
Answer: B.34
Explanation: Explanation:
Subtract 1, 3, 5, 7, 9, 11 from successive numbers.
So, 34 is wrong.
Answer: B) 34
Question: Two pipes P and Q can fill a tank in 5 hours and 10 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
A.4 hours 20 min
B.5 hours 49 min
C.3 hours 20 min
D.3 hours 22 min
Answer: C.3 hours 20 min
Explanation: Explanation:
Part filled by P in 1 hour = 1/5
Part filled by Q in 1 hour = 1/10
Part filled by (P + Q) in 1 hour = ( 1/5 + 1/10) = (3/10)
Time taken to fill the tank is (10/3) = 10/3*60 = 200 mins = 3 hrs 20 mins
ANSWER C