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When 27 is divided by positive integer n, the remainder is 4. For how many values of n is this true?
A: 0
B: 1
C: 2
D: 3
E: 4
|
B: 1
|
AQUA-RAT
|
There are 3 classes having 20, 24 and 30 students respectively having average marks in
an examination as 20,25 and 30 respectively. The three classes are represented by A, B and C and you have the following information about the three classes.
a. In class A highest score is 22 and lowest score is 18
b. In class B highest score is 31 and lowest score is 23
c. In class C highest score is 33 and lowest score is 26.
A: can't be determined in both cases
B: definite decrease in both cases
C: definite increase in both cases
D: will remain constant in both cases
E: will remain constant in both cases21
|
A: can't be determined in both cases
|
AQUA-RAT
|
Spontaneous veical nystagmus is seen in the lesion of
A: Mid brain lesion
B: Labyrinth
C: Vestibule
D: Cochlea
|
A: Mid brain lesion
|
MedMCQA
|
Uncoupler in ETC
A: H2S
B: Antimycin a
C: 2, 4-dinitrophenol
D: Barbiturates
|
C: 2, 4-dinitrophenol
|
MedMCQA
|
A and B started a business with an investment of Rs.26000 and Rs.28000. After two months C joined in the business with an investment of Rs.32000, what is share of C in the half year profit of Rs.9040 ?
A: Rs.3360
B: Rs.3120
C: Rs.2940
D: Rs.2560
E: Rs.3550
|
D: Rs.2560
|
AQUA-RAT
|
If $a$ and $b$ are real numbers, then "$a^{2}+b^{2}=0$" is ( )
A: Sufficient but not necessary condition
B: Necessary but not sufficient condition
C: Necessary and sufficient condition
D: Neither sufficient nor necessary condition
|
A: Sufficient but not necessary condition
|
cn_k12
|
What occurs where the water motion slows?
A: diffusion
B: deposition
C: erosion
D: vapor
|
B: deposition
|
SciQ
|
Drug of choice for Trigeminal neuralgia is:
A: Carbamazepine
B: Phenobabitone
C: Phenytoin
D: Valproic acid
|
A: Carbamazepine
|
MedMCQA
|
Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $10,000 and the marginal cost is $80, and the total cost is $16,000, what is the value of n?
A: 30
B: 50
C: 60
D: 75
E: 100
|
D: 75
|
AQUA-RAT
|
A child is presenting with erythematous follicular papules on the trunk. There are areas of normal skin within the lesions. There is thickening of Palms & soles. This child is suffering from -
A: Pityriasis rosea
B: Pityriasis rubra pilaris
C: Psoriasis
D: Seborrheic dermatitis
|
B: Pityriasis rubra pilaris
|
MedMCQA
|
Given an arithmetic sequence $\{a_n\}$, the sum of the first $n$ terms is $S_n$, $S_4=40$, $S_n=210$, and $S_{n-4}=130$. Find $n$.
A: $18$
B: $16$
C: $14$
D: $12$
|
C: $14$
|
cn_k12
|
Lakshmi took a loan of Rs. 1500 with simple interest for as many years as the rate of interest. If she paid Rs. 960 as interest at the end of the loan period, what was the rate of interest?
A: 8
B: 7
C: 6
D: 5
E: 4
|
A: 8
|
AQUA-RAT
|
The egg of which helminth can be concentrated in saturated salt solution -
A: Taenia saginata
B: Taenia solium
C: Unfeilized egg of Ascaris
D: Ancylostoma duodenale
|
D: Ancylostoma duodenale
|
MedMCQA
|
I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I can have to pack and distribute?
A: 25
B: 37
C: 54
D: 65
E: 50
|
A: 25
|
AQUA-RAT
|
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is
A: 100 gallons
B: 110 gallons
C: 120 gallons
D: 130 gallons
E: 140 gallons
|
C: 120 gallons
|
AQUA-RAT
|
An electronic safe uses a five-digit code ranging from $0$ to $9$. Each digit can be repeated. However, no code may start with the sequence $6,2,2$. How many valid codes are possible?
$\textbf{(A)}\mbox{ }99900\qquad\textbf{(B)}\mbox{ }100000\qquad\textbf{(C)}\mbox{ }100100\qquad\textbf{(D)}\mbox{ }100200\qquad\textbf{(E)}\mbox{ }100300$
|
A
|
synthetic_amc
|
A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $112 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
A: 6
B: 7
C: 8
D: 12
E: 15
|
B: 7
|
AQUA-RAT
|
How much time does the moon take to complete one revolution around the earth?
A: one month
B: one year
C: one day
D: one week
|
A: one month
|
SciQ
|
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
A: 76 years
B: 88 years
C: 55 years
D: 10 years
E: 15 years
|
D: 10 years
|
AQUA-RAT
|
At milk factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
A: 8/17
B: 1/2
C: 8/9
D: 9/8
E: 17/8
|
A: 8/17
|
AQUA-RAT
|
A rectangular floor measures $a$ by $b$ feet, where $a$ and $b$ are positive integers with $b > a$. An artist paints a rectangle on the floor with sides parallel to the sides of the floor. The unpainted part of the floor now forms a border of width $2$ feet around the painted rectangle and occupies one-third of the area of the entire floor. How many possibilities are there for the ordered pair $(a,b)$?
A) 0
B) 1
C) 2
D) 3
E) 4
|
C
|
synthetic_amc
|
Window period is defined as the time taken from:
A: Entry of pathogen to appearance of first clinical symptoms
B: Exposure to laboratory detection of disease
C: Entry in cell to expulsion of first viral particle
D: Entry to maximum communicability
|
B: Exposure to laboratory detection of disease
|
MedMCQA
|
If 5+3+2=151022, 9+2+4=183652, then 7+2+5=?
A: 223888
B: 143547
C: 2607778
D: 126997
E: 127811
|
B: 143547
|
AQUA-RAT
|
How many positive factors does $12,650$ have?
$\textbf{(A) }16\qquad\textbf{(B) }18\qquad\textbf{(C) }24\qquad\textbf{(D) }30\qquad\textbf{(E) }36$
|
C
|
synthetic_amc
|
A patient with malabsorption who develops a deficiency of vitamin A is most likely to subsequently develop:
A: Acute leukemia
B: Intestinal metaplasia
C: Megaloblastic anemia
D: Night blindness
|
D: Night blindness
|
MedMCQA
|
If set $M=\{x\,|\,|x|<1\}$, and $N=\{x\,|\,x^2-x<0\}$, then $M\cap N=$ （ ）
A: $\{x\,|\,-1<x<1\}$
B: $\{x\,|\,0<x<1\}$
C: $\{x\,|\,-1<x<0\}$
D: $\{-1,0,1\}$
|
B: $\{x\,|\,0<x<1\}$
|
cn_k12
|
The greenhouse effect on earth is caused by an increase in what in the atmosphere?
A: satellites
B: phosphorous
C: vapor
D: carbon
|
D: carbon
|
SciQ
|
The monotonic increasing interval of the function $y=\sin \left( \frac{\pi}{4}-2x\right)$ is ( )
A: $\left[k\pi- \frac{3\pi}{8}, k\pi+\frac{3\pi}{8}\right] (k\in\mathbb{Z})$
B: $\left[k\pi+ \frac{\pi}{8}, k\pi+\frac{5\pi}{8}\right]$ $(k\in\mathbb{Z})$
C: $\left[k\pi- \frac{\pi}{8}, k\pi+\frac{3\pi}{8}\right] (k\in\mathbb{Z})$
D: $\left[k\pi+ \frac{3\pi}{8}, k\pi+\frac{7\pi}{8}\right] (k\in\mathbb{Z})$
|
D: $\left[k\pi+ \frac{3\pi}{8}, k\pi+\frac{7\pi}{8}\right] (k\in\mathbb{Z})$
|
cn_k12
|
A CKD patient with hypeension, What is the initial treatment of choice ?
A: ACE inhibitors
B: CCB
C: Diuretics
D: Betablockers
|
A: ACE inhibitors
|
MedMCQA
|
The matrix retainer wherein anatomy adaptation is possible without wedges is:
A: Tofflemire
B: Steele’s siqveland
C: Ivory no. 1
D: Ivory no. 8
|
B: Steele’s siqveland
|
MedMCQA
|
In triangle $\triangle ABC$, the area is given as $15$. Points $P, Q$, and $R$ are on sides $AB$, $BC$, and $CA$ respectively, with $AP = 3$ and $PB = 2$. If the area of triangle $\triangle APQ$ and the triangle $\triangle BQR$ are equal, determine the area of these equal triangles.
A. $3$
B. $5$
C. $9$
D. $12$
E. $15$
|
C
|
synthetic_amc
|
Vector $\overrightarrow {a}=(2,4,x)$, $\overrightarrow {b}=(2,y,2)$, if $|\overrightarrow {a}|=6$ and $\overrightarrow {a}\bot \overrightarrow {b}$, then the value of $x+y$ is ( ).
A: $-3$
B: $1$
C: $-3$ or $1$
D: $3$ or $1$
|
C: $-3$ or $1$
|
cn_k12
|
The radius of a circle is increased by 1%. Find how much % does its area increases?
A: 2.07%
B: 2.71%
C: 2.41%
D: 2.01%
E: 2.31%
|
D: 2.01%
|
AQUA-RAT
|
What is the probability that Terry and Tim will get selected for a job they both applied for in a company, given that their chances of getting selected is 3/8 and 2/7 respectively?
A: 2/21
B: 2/25
C: 3/28
D: 5/28
E: 3/25
|
C: 3/28
|
AQUA-RAT
|
The vertex of the parabola $y=-2x^{2}+3$ is ( ).
A: $(0,3)$
B: $(-2,3)$
C: $(2,3)$
D: $(0,-3)$
|
A: $(0,3)$
|
cn_k12
|
In the standard state, the average distance between gas molecules is $0.0000000033m$. Express $0.0000000033$ in scientific notation as ( ).
A: $3.3\times 10^{-8}$
B: $3.3\times 10^{-9}$
C: $33\times 10^{-9}$
D: $3.3\times 10^{-10}$
|
B: $3.3\times 10^{-9}$
|
cn_k12
|
Which of the following will have a contrast nephropathy?
A: Diabetes nephropathy
B: Hypertension
C: Malignant hypertension
D: Hypertensive Glomerulosclerosis
|
A: Diabetes nephropathy
|
MedMCQA
|
LDH, / LDH2 in acute MI is -
A: >1.0
B: >1.5
C: >2.0
D: >2.5
|
A: >1.0
|
MedMCQA
|
The expression $-2C_{n}^{1} + 4C_{n}^{2} + \ldots + (-2)^{n}C_{n}^{n}$ equals to ( )
A: $3^{n}$
B: $3^{n}-1$
C: $(-1)^{n}-1$
D: $(-1)^{n}$
|
C: $(-1)^{n}-1$
|
cn_k12
|
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
A: 33381
B: 27991
C: 92211
D: 25000
E: 27821
|
D: 25000
|
AQUA-RAT
|
Calculate the product $500 \times 49.95 \times 4.995 \times 5000$.
A) $(24975)^2$
B) $(4975)^2$
C) $(49750)^2$
D) $(249750)^2$
E) $(2497.5)^2$
|
A
|
synthetic_amc
|
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 14% while buying and by 20% while selling. What is his percentage profit?
A: 10.22%
B: 20.22%
C: 21.22%
D: 42.5%
E: Can't be calculated
|
D: 42.5%
|
AQUA-RAT
|
Variable which can be controlled or manipulated:
A: Independent
B: Dependent
C: Discrete
D: Parameter
|
A: Independent
|
MedMCQA
|
Iron is absorbed in
A: Stomach
B: Duodenum
C: Jejunum and ileum
D: Colon
|
B: Duodenum
|
MedMCQA
|
By selling an shirt for $300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
A: 2
B: 14
C: 8
D: 12
E: 10
|
C: 8
|
AQUA-RAT
|
The outer planets are made of hydrogen and helium, so they are termed what?
A: gas giants
B: helium giants
C: light giants
D: hydrogen giants
|
A: gas giants
|
SciQ
|
What is the 10th digit to the right of the decimal point in the decimal equivalent of 124/22?
A: 2
B: 3
C: 4
D: 7
E: 6
|
B: 3
|
AQUA-RAT
|
The preferred agent in treatment of typical B cell CLL among elderly patients is:
A: Fludarabine
B: Chlorambucil
C: Cyclophosphamide
D: Bendamustine
|
B: Chlorambucil
|
MedMCQA
|
A die is thrown three times. Events X and Y are defined as below:
X : 4 on the third throw
Y : 6 on the first and 5 on the second throw
What is the probability of X given that Y has already occurred.
A: 1/7
B: 1 by 6
C: 2/3
D: 2/5
E: 3/5
|
B: 1 by 6
|
AQUA-RAT
|
Quadrilateral $ABCD$ is a trapezoid with bases $AB$ and $CD$, where $AB = 8$ units and $CD = 5$ units, and the non-parallel sides $AD$ and $BC$ are equal. Drop perpendiculars from $D$ to $AB$, and $C$ to $AB$. Let these perpendiculars meet $AB$ at points $F$ and $E$, respectively. Calculate the length of segment $EF$.
A) $\frac{15}{13}$ units
B) $\frac{24}{13}$ units
C) $\frac{39}{13}$ units
D) 3 units
|
B
|
synthetic_amc
|
If the population of a certain country increases at the rate of one person every 45 seconds, by how many persons does the population increase in 1 hour?
A: 80
B: 120
C: 150
D: 180
E: 160
|
A: 80
|
AQUA-RAT
|
Antimycin A inhibits which comples of Electron Transport chain?
A: Complex-I
B: Complex-II
C: Complex-III
D: Complex-IV
|
C: Complex-III
|
MedMCQA
|
The derivative of the function $y=x^2\cos x$ is ( )
A: $y'=x^2\cos x-2x\sin x$
B: $y'=2x\cos x+x^2\sin x$
C: $y'=2x\cos x-x^2\sin x$
D: $y'=x\cos x-x^2\sin x$
|
C: $y'=2x\cos x-x^2\sin x$
|
cn_k12
|
Line Q has the equation 5y – 3x = 30. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)
A: 22
B: 33
C: 36
D: 41
E: 58
|
A: 22
|
AQUA-RAT
|
A group of 3 CEOs and 2 employees recently frequented the Bohemian Ala Restaurant. The total bill for the meal, including 20% gratuity, came to $600. On average, how much did the meal of each individual cost before gratuity?
A: $160
B: $96
C: $90
D: $10
E: $55
|
D: $10
|
AQUA-RAT
|
How many positive integers less than 50 have a reminder 5 when divided by 7?
A: 3
B: 7
C: 4
D: 5
E: 6
|
B: 7
|
AQUA-RAT
|
Among the real numbers $\frac{{22}}{7}$, $\sqrt{5}$, $0$, $3.1415$, $\sqrt{16}$, $3\pi$, $3.1010010001\ldots$ (where the number of zeros between adjacent ones increases by $1$ each time), the number of irrational numbers is ( ).
A: $3$ numbers
B: $4$ numbers
C: $5$ numbers
D: $6$ numbers
|
A: $3$ numbers
|
cn_k12
|
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is?
A: 121
B: 50
C: 100
D: 160
E: 80
|
A: 121
|
AQUA-RAT
|
The complex number $z$ satisfies $z(1-i)=|1+ \frac {1}{i}|$, then $z=$
A: $ \frac { \sqrt {2}}{2}- \frac { \sqrt {2}}{2}i$
B: $ \frac { \sqrt {2}}{2}+ \frac { \sqrt {2}}{2}i$
C: $1-i$
D: $1+i$
|
B: $ \frac { \sqrt {2}}{2}+ \frac { \sqrt {2}}{2}i$
|
cn_k12
|
Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0
A: 11 Pi
B: 12 Pi
C: 13 Pi
D: 14 Pi
E: 15 Pi
|
B: 12 Pi
|
AQUA-RAT
|
The most common retrobulbar mass in adults is
A: Neurofibroma
B: Meningioma
C: Cavernous hemangioma
D: Schwannoma
|
C: Cavernous hemangioma
|
MedMCQA
|
If n and k are integers whose product is 3600, which of the following statements must be true?
A: n+k>0
B: n does not equal k
C: Either n or k is a multiple of 10
D: If n is even, then k is odd
E: If n is odd, then k is even
|
E: If n is odd, then k is even
|
AQUA-RAT
|
Antioxidant propey is seen in ?
A: Chromium
B: Selenium
C: Magnesium
D: Iron
|
B: Selenium
|
MedMCQA
|
If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 20 days. If he works at reduced efficiency, he can work without break and finish that same job in 20 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
A: 7/3
B: 5/2
C: 6/5
D: 1/5
E: 9/5
|
A: 7/3
|
AQUA-RAT
|
Determine which of the following functions is identical to the function $y = |x|$.
A: $y = (\sqrt{x})^2$
B: $y = \sqrt{x^2}$
C: $y = \begin{cases} x, & (x > 0) \\ -x, & (x < 0) \end{cases}$
D: $y = \log_b b^x$
|
B: $y = \sqrt{x^2}$
|
cn_k12
|
Three congruent circles with centers $P$, $Q$, and $R$ are tangent to the sides of rectangle $ABCD$. The circle centered at $Q$ has a diameter of $6$ and passes through points $P$ and $R$. What is the area of rectangle $ABCD$?
A) 36
B) 48
C) 72
D) 96
E) 120
|
C
|
synthetic_amc
|
Most common tumour occurring in appendix includes
A: Carcinoid tumour
B: Melanoma
C: Adeno carcinoma
D: Mucinous
|
A: Carcinoid tumour
|
MedMCQA
|
What do you call the type of molecular signals that include insulin and that help regulate a number of biochemical processes?
A: hormones
B: enzymes
C: acids
D: nerves
|
A: hormones
|
SciQ
|
In the linear regression equation $\hat{y} = \hat{b}x + \hat{a}$, which of the following statements is incorrect? ( )
A: The line must pass through the point $(\overline{x}, \overline{y})$
B: When $x$ increases by one unit, $y$ on average increases by $\hat{b}$ units
C: In the sample data, when $x=0$, it is possible to have $y=\hat{a}$
D: In the sample data, when $x=0$, it is certain to have $y=\hat{a}$
|
D: In the sample data, when $x=0$, it is certain to have $y=\hat{a}$
|
cn_k12
|
Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
A: 18
B: 20
C: 24
D: 33.75
E: 42
|
D: 33.75
|
AQUA-RAT
|
A neonate is found to have an imperforate anus. You recommend studies to search for other anomalies because infants with anorectal anomalies tend to have other congenital anomalies. Associated abnormalities include which of the following?
A: Abnormalities of the cervical spine
B: Hydrocephalus
C: Duodenal atresia
D: Hea disease
|
D: Hea disease
|
MedMCQA
|
A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?
A: 10
B: 41
C: 31
D: 21
E: 22
|
B: 41
|
AQUA-RAT
|
The odd function $f(x)$ satisfies: $f(1+x) = f(1-x)$ $(x \in \mathbb{R})$. If $f(1) = 4$, then $f[f(2011)] = $ （ ）
A: 0
B: 2
C: -2
D: -4
|
A: 0
|
cn_k12
|
In a pedigree what shape symbolizes males?
A: spheres
B: squares
C: triangles
D: rectangles
|
B: squares
|
SciQ
|
An bus covers a certain distance at aspeed of 320 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
A: 560 km/h
B: 960 km/h
C: 779 km/h
D: 723 km/h
E: 720 km/h
|
B: 960 km/h
|
AQUA-RAT
|
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord E, in feet?
A: 30
B: 25
C: 15
D: 10
E: 5
|
D: 10
|
AQUA-RAT
|
If a 10 percent deposit that has been paid toward the purchase of a certain product is $140, how much more remains to be paid?
A: $880
B: $990
C: $1,000
D: $1,100
E: $1,260
|
E: $1,260
|
AQUA-RAT
|
The function $f(x) = x^3 + ax^2 + 3x - 9$, it is known that $f(x)$ has an extremum at $x = -3$, then $a$ equals ( )
A: 2
B: 3
C: 4
D: 5
|
D: 5
|
cn_k12
|
A 38 year old woman with a history of multiple sexual paners is most at risk for which of the following?
A: Bladder carcinoma
B: Cervical carcinoma
C: Endometrial carcinoma
D: Ovarian carcinoma
|
B: Cervical carcinoma
|
MedMCQA
|
P is three times as fast as Q and working together, they can complete a work in 36 days. In how many days can Q alone complete the work?
A: 16
B: 48
C: 88
D: 55
E: 778
|
B: 48
|
AQUA-RAT
|
Laura took out a charge account at the General Store and agreed to pay 5% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
A: $2.10
B: $36.75
C: $37.16
D: $38.10
E: $38.80
|
B: $36.75
|
AQUA-RAT
|
In a certain economy, C represents the total amount of consumption in millions of dollars, Y represents the total national income in millions of dollars, and the relationship between these two values is given by the equation C=90+9Y/11. If the total amount of consumption in the economy increases by 99 million dollars, what is the increase in the total national income, in millions of dollars?
A: 11
B: 22
C: 99
D: 121
E: 171
|
D: 121
|
AQUA-RAT
|
a is an integer greater than 49 but less than 61, b is an integer greater than 59 but less than 71, what is the range of a/b?
A: 2/7
B: 1/2
C: 3/4
D: 1
E: 5/4
|
A: 2/7
|
AQUA-RAT
|
A train 110 m long is running with a speed of 65 km/hr. In what time will it pass a man who is running at 7 km/hr in the direction opposite to that in which the train is going?
A: 5
B: 6
C: 4
D: 8.2
E: 5.5
|
E: 5.5
|
AQUA-RAT
|
Each cell of a certain kind of bacteria produces two more cells. The life span of each cell is 10 minutes and each cell multiples only once in its life time, when it is exactly one minute old. If a new cell is placed in an empty box at time t = 0, then how many live cells will be there in the box just after t = 20 minutes?
A: 2048 × 1023
B: 1024 × 1023 cells
C: (1024)²
D: 1023 × 1025
E: 1023 × 1026
|
B: 1024 × 1023 cells
|
AQUA-RAT
|
The complex number $z=1+ai$ ($a\in\mathbb{R}$) corresponds to a point in the first quadrant of the complex plane, and $| \overrightarrow{z}|= \sqrt {5}$. Determine the imaginary part of $z$.
A: $2$
B: $4$
C: $2i$
D: $4i$
|
A: $2$
|
cn_k12
|
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.30 m space around the room. A side of square tile is given to be 20 cms?
A: 187
B: 714
C: 268
D: 208
E: 276
|
B: 714
|
AQUA-RAT
|
Intercourse in closely related individual in relation-
A: Incest
B: Adultery
C: Bestiality
D: Tribadism
|
A: Incest
|
MedMCQA
|
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A: 5/5
B: 5/9
C: 5/8
D: 5/1
E: 5/2
|
B: 5/9
|
AQUA-RAT
|
The incubation period for polio is
A: 3 - 7 days
B: 7 - 14 days
C: 2 - 3 weeks
D: 1 - 2 years
|
B: 7 - 14 days
|
MedMCQA
|
Most common cause of nephrotic syndrome in children-
A: Membranous GN
B: Minimal change disease
C: PSGN
D: RPGN
|
B: Minimal change disease
|
MedMCQA
|
In the complex plane, after rotating the complex number \( 3 - \sqrt{3}i \) clockwise by \( \frac{\pi}{3} \), which complex number corresponds to the resulting vector?
A. \( 2 \sqrt{3} \)
B. \( -2 \sqrt{3} i \)
C. \( \sqrt{3} - 3 i \)
D. \( 3 + \sqrt{3} i \)
|
B
|
olympiads
|
Egg Street begins at Toast Street and runs directly east for 6.6 kilometers until it ends when it meets Jam Street. Egg Street is intersected every 120 meters by a perpendicular street, and each of those streets other than Toast Street and Jam Street is given a number beginning at 1st Street (one block east of Toast Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Jam Street. What is the highest-numbered street that intersects Egg Street?
A: 52nd
B: 53rd
C: 54th
D: 56th
E: 57th
|
C: 54th
|
AQUA-RAT
|
Conventional daily dose regimen in external beam radiotherapy is?
A: 100-150 cGy
B: 150-170 cGy
C: 180-200 cGy
D: 225-250 cGy
|
C: 180-200 cGy
|
MedMCQA
|
When 6 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
A: 1
B: 3
C: 16
D: 31
E: 30
|
C: 16
|
AQUA-RAT
|
Johnny bought six peanut butter cans at an average price (arithmetic mean) of 35¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?
A: 5.5
B: 43
C: 47.5
D: 66
E: 67.5
|
B: 43
|
AQUA-RAT
|
What is the diagnosis in this baby girl who was delivered at 30 weeks' gestation?
A: Congenital cytomegalovirus infection
B: Ecthyma gangrenosum
C: Homozygous protein C deficiency
D: Klippel-Trenaunay syndrome
|
A: Congenital cytomegalovirus infection
|
MedMCQA
|
In how many ways can the letters of the word RECPECT be arranged?
A: 1206
B: 1348
C: 2520
D: 3000
E: 3478
|
C: 2520
|
AQUA-RAT
|
x is a positive integer less than 600. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
A: 21
B: 22
C: 23
D: 24
E: 25
|
E: 25
|
AQUA-RAT
|
During which of the following sleep stages shows sleep spindles in ECG?
A: Stage 1
B: Stage 2
C: Stage 3
D: Stage 4
|
B: Stage 2
|
MedMCQA
|
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