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Glucose and Galactose are having identical configuration

Question: Glucose and Galactose are having identical configuration in all the positions except position.C -3C-4C-2C- 5Correct Option: , 2 Solution: Galactose and glucose are $\mathrm{C}_{4}$ epimers....

Let a complex number

Question: Let a complex number $\mathrm{z},|\mathrm{z}| \neq 1$, satisfy $\log _{\frac{1}{\sqrt{2}}}\left(\frac{|z|+11}{(|z|-1)^{2}}\right) \leq 2$. Then, the largest value of $|z|$ is equal to(1) 8(2) 7(3) 6(4) 5Correct Option: , 2 Solution: $\log _{\frac{1}{\sqrt{2}}}\left(\frac{|z|+11}{(|z|-1)^{2}}\right) \leq 2$ $\frac{|z|+11}{(|z|-1)^{2}} \geq \frac{1}{2}$ $2|z|+22 \geq(|z|-1)^{2}$ $2|z|+22 \geq|z|^{2}+1-2|z|$ $|z|^{2}-4|z|-21 \leq 0$ $\Rightarrow|z| \leq 7$ $\therefore \quad$ Largest value...

The average weekly payment to 75 workers in a factory is ₹ 5680.

Question: The average weekly payment to 75 workers in a factory is ₹ 5680. The mean weekly payment to 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Find the mean weekly payment of the remaining workers. Solution: Total salary of 75 workers = ₹ 5680 75= ₹ 426000Total salary of 25 workers = ₹ 5400 25= ₹ 135000Total salary of 30 workers = ₹ 5700 30= ₹ 171000No. of remaining workers = 75 (25 +30)= 20Total salary of 20 workers = ₹ (426000 135000 171000)= ₹ 120000 $\therefore$ The mean weekly ...

Which of the following is a thermosetting polymer?

Question: Which of the following is a thermosetting polymer?BakeliteBuns-NNylon 6PVCCorrect Option: 1 Solution: Bakelite is an example of thermosetting polymer. PVC and Nylon 6 are thermoplastic and Buna- $\mathrm{N}$ is an elastomer....

A parallel plate capacitor having capacitance

Question: A parallel plate capacitor having capacitance $12 \mathrm{pF}$ is changed by a battery to a potential difference of $10 \mathrm{~V}$ between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant $6.5$ is slipped between the plates. The work done by the capacitor on the slab is:(1) $692 \mathrm{pJ}$(2) $508 \mathrm{pJ}$(3) $560 \mathrm{pJ}$(4) $600 \mathrm{pJ}$Correct Option: , 2 Solution: (2) $\mathrm{W}=-\Delta \mathrm{u}$ $=(-1)\left|\frac{(...

The correct match between Item - I and Item- II is :

Question: The correct match between Item - I and Item- II is : (a) $\rightarrow$ (IV), (b) $\rightarrow$ (II), (c) $\rightarrow$ (I), (d) $\rightarrow$ (III)(a) $\rightarrow$ (II), (b) $\rightarrow$ (IV), (c) $\rightarrow$ (I), (d) $\rightarrow$ (III)$(\mathrm{a}) \rightarrow(\mathrm{III}),(\mathrm{b}) \rightarrow(\mathrm{I}),(\mathrm{c}) \rightarrow(\mathrm{II}),(\mathrm{d}) \rightarrow(\mathrm{IV})$(a) $\rightarrow$ (III), (b) $\rightarrow$ (I), (c) $\rightarrow$ (IV), (d) $\rightarrow$ (II)Co...

The aggregate monthly expenditure of a family was ₹ 18720 during the first 3 months,

Question: The aggregate monthly expenditure of a family was ₹ 18720 during the first 3 months, ₹ 20340 during the next 4 months and ₹ 21708 during the last 5 months of a year. If the total savings during the year be ₹ 35340 find the average monthly income of the family. Solution: The aggregate yearly expenditure of a family = Rs (18720 3) + Rs (20340 4) + Rs (21708 5)= Rs (56160 + 81360 + 108540)= Rs 246060 The total savings during the year = Rs 35340The average yearly income = Rs 246060 + Rs 35...

A parallel plate capacitor is of area

Question: A parallel plate capacitor is of area $6 \mathrm{~cm}^{2}$ and a separation $3 \mathrm{~mm}$. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants $\mathrm{K}_{1}=10, \mathrm{~K}_{2}=12$ and $\mathrm{K}_{3}=1(4)$ The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be: (1) 4(2) 14(3) 12(4) 36Correct Option: , 3 Solution: (3) Let dielectric constant of material used be $\ma...

There are 50 students in a class, of which 40 are boys.

Question: There are 50 students in a class, of which 40 are boys. The average weight of the class is 44 kg an that of the girls is 40 kg. Find the average weight of the boys. Solution: Total students in the class = 50Number of boys = 40 Number of girls = (50-40) = 10Average weight of students in the class = 44 kgAverage weight of girls in the class = 40 kgSum of the weights of girls in the class = (4010) kg = 400 kgThus, we have: Average weight of students in the class $\Rightarrow 44=\frac{400+...

Which of the following is a condensation polymer?

Question: Which of the following is a condensation polymer?Buna - SNeopreneTeflonNylon 6,6Correct Option: Solution: Nylon $-6,6$ is obtained by condensation polymerisation of hexamethylenediamine and adipic acid. So, nylon-6, 6 is a condensation polymer. Other given polymers are addition polymers....

If a variable line,

Question: If a variable line, $3 x+4 y-\lambda=0$ is such that the two circles $x^{2}+y^{2}-2 x-2 y+1=0$ and $x^{2}+y^{2}-18 x-2 y+78=0$ are on its opposite sides, then the set of all values of $\lambda$ is the interval :(1) $(2,17)$(2) $[13,23]$(3) $[12,21]$(4) $(23,31)$Correct Option: , 3 Solution: Condition 1: The centre of the two circles are $(1,1)$ and $(9,1)$. The circles are on opposite sides of the line $3 x+4 y-\lambda=0$. Put $x=1, y=1$ in the equation of line, $3(1)+4(1)-\lambda=0$ $...

A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants

Question: A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants $\mathrm{K}_{1}, \mathrm{~K}_{2}, \mathrm{~K}_{3}, \mathrm{~K}_{4}$ arranged as shown in the figure. The effective dielectric constant $\mathrm{K}$ will be: (1) $K=\frac{\left(K_{1}+K_{3}\right)\left(K_{2}+K_{4}\right)}{K_{1}+K_{2}+K_{3}+K_{4}}$(2) $\mathrm{K}=\frac{\left(\mathrm{K}_{1}+\mathrm{K}_{2}\right)\left(\mathrm{K}_{3}+\mathrm{K}_{4}\right)}{2\left(\mathrm{~K}_{1}+\mathrm{K}_{...

Amylopectin is composed of:

Question: Amylopectin is composed of:$\alpha-D-$ glucose,$C_{1}-C_{4}$ and $C_{1}-C_{6}$ linkages$\beta$-D-glucose, $\mathrm{C}_{1}-\mathrm{C}_{4}$ and $\mathrm{C}_{2}-\mathrm{C}_{6}$ linkages$\beta$-D-glucose, $C_{1}-C_{4}$ and $C_{1}-C_{6}$ linkages$\alpha$-D-glucose, $\mathrm{C}_{1}-\mathrm{C}_{4}$ and $\mathrm{C}_{2}-\mathrm{C}_{6}$ linkagesCorrect Option: 1 Solution: Starch is a polymer of $\alpha$-D-glucose. It has two components. (i) Amylose which has only $\alpha-1,4-g$ lycosidic linkage...

Which of the following compounds is a constituent of the

Question: Which of the following compounds is a constituent of the N-Methyl ureaFormaldehydeMethylamineAmmoniaCorrect Option: , 2 Solution: formaldehyde resin. Its monomers are urea and formaldehyde....

Let C1 and C2 be the centres of the circles

Question: Let $\mathrm{C}_{1}$ and $\mathrm{C}_{2}$ be the centres of the circles $\mathrm{x}^{2}+\mathrm{y}^{2}-2 \mathrm{x}-2 \mathrm{y}-2=$ 0 and $x^{2}+y^{2}-6 x-6 y+14=0$ respectively. If $P$ and $Q$ are the points of intersection of these circles then, the area (in sq. units) of the quadrilateral $\mathrm{PC}_{1} \mathrm{QC}_{2}$ is :(1) 8(2) 6(3) 9(4) 4Correct Option: , 4 Solution: $2 g_{1} g_{2}+2 f_{1} f_{2}=2(-1)(-3)+2(-1)(-3)=12$ $c_{1}+c_{2}=14-2=12$ Since, $2 g_{1} g_{2}+2 f_{1} f_{...

A ship sails out to an island at the rate of 15 km/h and sails back to the starting point at 10 km/h.

Question: A ship sails out to an island at the rate of 15 km/h and sails back to the starting point at 10 km/h. Find the average sailing speed for the whole journey. Solution: Let the distance from the starting point to the island bexkm.Speed of the ship sailing out to the island = 15 km/hSpeed of the ship sailing back to the starting point = 10 km/hWe know: Time $=\frac{\text { Distance }}{\text { Speed }}$ Time taken by the ship to travel from the starting point to the island $=\frac{x}{15} \m...

The peptide that gives positive ceric ammonium nitrate

Question: The peptide that gives positive ceric ammonium nitrate and carbylamine tests is:Ser-LysGln - AspLys $-$ Asp$A s p-G \ln$Correct Option: 1 Solution: Ceric ammonium nitrate test is given by alcohol. Only serine(ser) contains - OH group....

Arun scored 36 marks in English, 44 marks in Hindi, 75 marks in mathematics and x marks in science.

Question: Arun scored 36 marks in English, 44 marks in Hindi, 75 marks in mathematics andxmarks in science. If he has secured an average of 50 marks, find the value ofx. Solution: Marks scored by Arun in English = 36Marks scored by Arun in Hindi = 44Marks scored by Arun in mathematics = 75Marks scored by Arun in science =xAverage marks = 50Thus, we have: Average marks $=\frac{36+44+75+x}{4}$ $\Rightarrow 50=\frac{155+x}{4}$ $\Rightarrow 155+x=200$ $\Rightarrow x=200-155=45$ $\therefore$ Marks sc...

A parallel plate capacitor is made of two square plates of side

Question: A parallel plate capacitor is made of two square plates of side ' $a$ ', separated by a distance $d(da)$. The lower triangular portion is filled with a dielectric of dielectric constant $\mathrm{K}$, as shown in the figure. Capacitance of this capacitor is: (1) $\frac{\mathrm{K} \in_{0} \mathrm{a}^{2}}{2 \mathrm{~d}(\mathrm{~K}+1)}$(2) $\frac{\mathrm{K} \in_{0} \mathrm{a}^{2}}{\mathrm{~d}(\mathrm{~K}-1)} \operatorname{In} \mathrm{K}$(3) $\frac{\mathrm{K} \in_{0} \mathrm{a}^{2}}{\mathrm...

The mean score of 25 observations is 80 and the mean score of another 55 observations is 60.

Question: The mean score of 25 observations is 80 and the mean score of another 55 observations is 60. Determine the mean score of the whole set of observations. Solution: Mean score of 25 observations $=80$ Sum of the scores of 25 observations $=80 \times 25=2000$ Mean score of another 55 observations $=60$ Sum of the scores of another 55 observations $=60 \times 55=3300$ Mean score of the whole set of observations $=\frac{2000+3300}{80}$ $=\frac{5300}{80}$ $=66.25$ Therefore, the mean score of...

Which of the following statements is not true about sucrose?

Question: Which of the following statements is not true about sucrose?It is a non reducing sugar.The glycosidic linkage is present between $\mathrm{C}_{1}$ of $\alpha$-glucose and $\mathrm{C}_{1}$ of $\beta$-fructose.It is also named as invert sugar.On hydrolysis, it produces glucose and fructose.Correct Option: , 3 Solution: Sucrose contains glycosidic link between $C_{1}$ of $\alpha-D$ glucose and $C_{2}$ of $\beta$-D-fructose....

If a circle of radius R passes through the origin

Question: If a circle of radius $\mathrm{R}$ passes through the origin $\mathrm{O}$ and intersects the coordinate axes at $\mathrm{A}$ and $\mathrm{B}$, then the locus of the foot of perpendicular from $\mathrm{O}$ on $\mathrm{AB}$ is :(1) $\left(x^{2}+y^{2}\right)^{2}=4 R^{2} x^{2} y^{2}$(2) $\left(x^{2}+y^{2}\right)^{3}=4 R^{2} x^{2} y^{2}$(3) $\left(x^{2}+y^{2}\right)^{2}=4 R x^{2} y^{2}$(4) $\left(x^{2}+y^{2}\right)(x+y)=R^{2} x y$Correct Option: , 2 Solution: As $\angle A O B=90^{\circ}$ Le...

In the given circuit, the charge

Question: In the given circuit, the charge on $4 \mu \mathrm{F}$ capacitor will be : (1) $5.4 \mu \mathrm{C}$(2) $9.6 \mu \mathrm{C}$(3) $13.4 \mu \mathrm{C}$(4) $24 \mu \mathrm{C}$Correct Option: , 4 Solution: (4) $V_{1}+V_{2}=10$ and $4 V_{1}=6 V_{2}$ On solving above equations, we get $V_{1}=6 \mathrm{~V}$ Charge on $4 \mu f$, $q=C V_{1}=4 \times 6=24 \mu \mathrm{C}$...

The major product of the following reaction is:

Question: The major product of the following reaction is: Correct Option: , 4 Solution:...

The mean weight of 25 students of a class is 52 kg.

Question: The mean weight of 25 students of a class is 52 kg. If the mean weight of the first 13 students of the class is 48 kg and that of the last 13 students is 55 kg, find the weight of the 13th student. Solution: Mean weight of 25 students $=52 \mathrm{~kg}$ Sum of the weights of $25 \mathrm{students}=(52 \times 25) \mathrm{kg}=1300 \mathrm{~kg}$ Mean weight of the first 13 students $=48 \mathrm{~kg}$ Sum of the weights of the first $13 \mathrm{students}=(48 \times 13) \mathrm{kg}=624 \math...

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