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3801.

I sometimes listen to the ______. A) television B) radio C) type D) film

Answer»

Correct option is B) radio

3802.

(Suresh asks Ramesh to drop him to the college. But Ramesil politely rejects this request.)Suresh: ............... Where are you going?Ramesh: I am going to my office.Suresh : .......... college.Romesh: ............ it is getting late for me to go to the office. Don’t think otherwise.Suresh: It is oK.

Answer»
  • Suresh: Hi Ramesh Where are you going?
  • Ramesh: I am going to my office.
  • Suresh: Could you do me a favour? On your way could you please drop me to my college?
  • Ramesh: So sorry Suresh, won’t be able to, It is getting late for me to go to the office. Don’t think otherwise.
  • Suresh: It is OK. No problem. I will take an auto.
3803.

(Suma visits Shobha at her house. Suma apologises for not helping Shobha.)Suma: Hi, Shbho. ore you drawing?Shobha: Oh! Suma, please came in. I was. ......Suma: Shobha, you asked me to drop you to the market yesterday. But I couldn’t, os ¡ was in a hurry to go to the hospital lam really. .............Shobha: It’s okay. Don ‘t feel bad about it.Suma: You were busy. Hope I have not disturbed you.Shobha: ........ would you like to have some coffee?Suma: ........... I had it just a while ago.

Answer»
  • Suma: Hi, Shobha, are you drawing?
  • Shobha: Oh Suma, please come in. I was writing an article.
  • Suma: Shobba, you asked me to drop you to the market yesterday. But I couldn’t, as was in a hurry to go to the hospital I am really sorry.
  • Shobha: It’s okay. Don’t feel bad about it.
  • Suma: You were busy. Hope I have not disturbed you.
  • Shobha: Not at all, would you like to have some coffee? 
  • Suma: No, thanks. I had it just a while ago.
3804.

Choose the appropriate answers for the following questions.Shall I read Text-1? A) Do, please B) Yes, you did C) Yes, you may D) Shall, please E) Yes, come along

Answer»

Correct option is A) Do, please

3805.

She would rather read ________ listen to the radio. A) than B) to C) or D) and

Answer»

Correct option is A) than

3806.

(Ashok is traveling In a train. He speaks to the co-passenger who is reading a book.)Ashok: .......... would you please close the window? Co-passenger: .......... I was reading the book. Did you say something?Ashok: Would you mind closing the window? Co-passenger: Sure, sir. By the by, ‘where are you from?Ashok: ........... Co-passenger: Oh! It is a beautiful city. it is famous for KRS garden. Palace, etc. Ashok : Yes sir. ......... ?Co-passenger: I have visited it many times, It is o lovely city.

Answer»
  • Ashok: Excuse me, would you please close the window?
  • Co-passenger: Pardon me. I was reading the book. Did you say something? 
  • Ashok: Would you mind closing the window?
  • Co-passenger: Sure, sir By the by, where are you from?
  • Ashok: I’m from Mysore.
  • Co-passenger: Oh’ It is a beautiful city. It is famous for KRS garden, palace, etc.
  • Ashok: Yes, sir. Have you been to Mysore?
  • Co-passenger: I have visited it many times. It is a lovely city
3807.

________ you open the window please? A) Could B) Shall C) Should D) Must

Answer»

Correct option is A) Could

3808.

My father listened to the news. He was very pleased with ______. A) they B) them C) it D) its

Answer»

Correct option is C) it

3809.

Please open the window. I can’t reach ______ . A) him B) her C) them D) it

Answer»

Correct option is D) it

3810.

The bananas were not ripe, so we did not buy ______ . A) it B) its C) themD) they

Answer»

Correct option is C) them

3811.

Find the word which is out of the logic list:A) hailB) sleet C) pond D) drizzle

Answer»

Correct option is C) pond

3812.

If 17C2t + 1 = 17C3t – 5,find t.

Answer»

17C2t +1 = 17C3t– 5

⇒ 2t + 1 = 3t – 5 or (2t + 1) + (3t – 5) = 17

⇒ 1 + 5 – t or 5t = 21

⇒ t = 6 or t = 21/5

which is not an integer

∴ t = 6.

3813.

Form the polynomial equation whose roots are the squares of the roots of x3 + 3x2 – 7x + 6 = 0

Answer»

Given equation is f(x) = x3 + 3x2 – 7x + 6 = 0

Required equation is f(√x) = 0

⇒ x√x + 3x – 7√x + 6 = 0

⇒ √x(x – 7) = – (3x + 6)

Squaring on both sides,

⇒ x(x – 7)2 = (3x + 6)2

⇒ x(x2 – 14x + 49) = 9x2 + 36 +36x

⇒ x3 – 14x2 + 49x – 9x2 – 36x – 36 = 0

i.e. x3 – 23x2 + 13x – 36 = 0

3814.

Find the number of integral ordered pairs `(x,y)` satisfying the equation `log(3x+2y)=logx+logy.`

Answer» We have `log(3x+2y)=logx+logyimplies3x+2y=xyimplies3x+2y-xy=0`
hence `y(x-2)=3ximpliesy=(3x)/(x-2)(x, y inN)`
`therefore"Possible ordered pairs are "(3,9),(4,6),(5,5),(8,4).`
and (0,0) and (1,-3) etc. rejected. Ans]
3815.

if `p^(2)+2q^(2)+5r^(2)+2pq-4qr+6p+6q-2r+10le0` for `p,q,r in R` then identify correct option?A. `p+q^(2)+r^(2)=0`B. `2q+r+p=0`C. `r^(p)=3q+p`D. `2^(3q+p)=p^(2)+r-2q`

Answer» Correct Answer - A::C::D
`(p+q+3)^(2)+(q-2r)^(2)+(r-1)^(2)le0`
`r=1`
`q=2`
`p+q+3=0`
`p=-5`
incorrect option is (B)
3816.

Expand

Answer»

−p + 2q + 3r)2  

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(−p + 2q + 3r)2 = (−p)2 + (2q)2 + (3r)2 + 2(−p)(2q) + 2(2q)(3r) + 2(−p)(3r)

= p2 + 4q2 + 9r2 – 4pq +12qr – 6rp

3817.

What is length of the chord of the parabola y2=4ax, which passes through the vertex and is inclined to the axis at π/4.

Answer»

Let AB be the chord with vertex A( 0,0) Given α = 45°

equation of of AB = ( y - 0) = tan 45( x - 0)

y = x then y = 4a ⇒ x = 4a

∴ B = ( 4a , 4a)
Length of chord AB = 4√2a.

3818.

A positive integer is of the form 3q + 1, q being a natural number. Can you write its square in any form other than 3m + 1, i.e., 3m or 3m + 2 for some integer m? Justify your answer.

Answer»

Solution:
No.
Justification:
Consider the positive integer 3q + 1, where q is a natural number.
=> (3q + 1)2 = 9q2 + 6q + 1
= 3(3q2 + 2q) + 1
= 3m + 1, where m is an integer.
Thus (3q + 1)2 cannot be expressed in any other form apart from 3m + 1.

3819.

Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.

Answer»

Required length = H.C.F. of 495 cm, 900 cm and 1665 cm. 

495 = 32 x 5 x 11, 

900 = 22 x 32 x 52

1665 = 32 x 5 x 37

H.C.F. = 32 x 5 = 45. 

Hence, required length = 45 cm.

3820.

`{:("List-I","List-II"),((P)"A geometirc progression consists of an even" ,(1)7),("number of terms. if the sum of all the terms is",),("then its common ratio is",),((Q)Let S_(n).S_(2n).S_(3n)"be the sums of first n.2n.3n",(2)4),((n in N)"terms of an arithmetic progression then",),((S_(3n))/(S_(2n)-S_(n)) "is equal to",),((R)"Number of ordered pairs (a.b)where a.b" in N,(3)3),("such that" 6.a.b ("taken in that order") "are in harmonic progression is equal to",):}`

Answer» Correct Answer - 2,3,1
(P) Let G,P.be
`a,ar,ar^(2),.....,ar^(2n-1)`
Now, `(a.(r^(2n)-1))/((r-1))=(5a(r^(2n)-1))/((r-1)(r+1))`
`implies r=4`
(Q) `S_(2n)-S_(n)`
`=(2n)/(2)[2a+(2n-1)d]-(n)/(2)[2a+(n-1)d]`
`(n)/(2)[2a+(3n-1)d]`
`=(1)/(3).(3n)/(2).[2a+(3n-1)d]`
`=(1)/(3)S_(3n)`
`implies (S_(2n)-S_(n))/(S_(3n))=(1)/(3)`
(R) 6,a,b in H.P.
`impliesb=(6a)/(12-a)`
`therefore in {3,4,6,8,9,10,11}implies7`
3821.

Let p,q,r in `R` satisfies `[p q r][(1,8,7),(9,2,3),(7,7,7)] = [0 0 0] .....(i)` `{:(,"List-I",,"List-I"),((P),"If the point M(p.q.r) with reference to (i) lies on the curve" 2x+y+z=1 then (7p+q+r) "is equal to",(1),-2),((Q),"Let" omega(ne1) "cube root of unity with" lm(omega) gt0.If p=2 "with q and r satisfying" (i) then (3/(omega^(p))+1/(omega^(q))+3/(omega^(r))) "is equal to ",(2),7),((R),"Let q=6 with p and r satisfying"(i). if alpha and beta "are roots of quadratic equation " px^(2)+qx+r=0 " then" Sigma_(n=0)^(oo) (1/(alpha)+1/(beta))^(n) " is equal to ",(3),6):}`

Answer» Correct Answer - 3,1,2
(P) `p=1,q=6,r=-7`
`therefore (7p+q+r)=6`
(Q) `omega =(-1)/(2)+isqrt(3)/(2)`
`p=2,q=12,r=-14`
`implies(3)/(omega^(p))+(1)/(omega^(q))+(3)/(omega^(r))=(3)/(omega^(2))+(1)/(omega^(12))+(3)/(omega^(-14))`
`= 3omega+1+3omega^(2)=-3+1=-2`
(R ) `p=1,q=6,r=-7`
`impliesx^(2)+6x-7=0`
`overset(^^^)(alpha beta)`
`therefore (1)/(alpha)+(1)/(beta)=(alpha+beta)/(alphabeta)=(-6)/(-7)=(6)/(7)`
`impliessum_(n-0)^(oo)`
`((1)/(alpha)+(1)/(beta))^(n)=1+(6)/(7)+((6)/(7))^(2)+.....x`
`=(1)/(1-(6)/(7))=7`
3822.

`f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))]`, thenA. `f(30)=960`B. `f(21)=483`C. `f(16)=64`D. `f(11)=44`

Answer» Correct Answer - A::B
`f(n)=underset(r=1)overset(n)sum[r^(2)(.^nC_(r)-.^nC_(r=1))+(2r).^nC_(r)+.^nC_(r)]`
`=underset(r-1)overset(n)sum[(r^(2)+2r+1).^nC_(r)-r^(2).^nC_(r-1)]`
`=underset(r=1)overset(n)sum[(r+1)^(2).^nC_(r)-r^(2).^nC_(r=1)]=underset(r=1)overset(n)sum[V_(r-1)-V_(r)]`
`=V_(2)-V_(1)+V_(3)-V_(2)+...+V_(n+1)-V_(n)`
`=V_(n+1)-V_(1)=(n+1)^(2).^(n)C_(n)-1=n^(2)+2n.`
3823.

Consider the system of simultaneous linear equation `2x-3y+5z=12` `3x+y+lambdaz=u` `x-7y+8z=17` `{:(,"List-I",,"List-II",),((P),"for unique solution" ,(1),lambda=2.mu ne, 7),((Q),"For infinite solutions",(2),lambda ne 2. mu in R,),((R),"For no solution",(3),lambda = 2. mu = 7,):}`

Answer» Correct Answer - 2,3,1
`Delta=[(2,-3,5),(3,1,lambda),(1,-7,8)]=(11lambda-22)=11(lambda-2)`
`Delta_(3)[(2,-3,12),(3,1,mu),(1,-7,17)]=11mu-77=11(mu-7)`
Now, verify it`
3824.

If a trader estimates his loss as 10% of the selling price, what is his real loss percent?A. `(100)/(8)%`B. `(100)/(11)%`C. `(100)/(13)%`D. `(100)/(7)%`

Answer» Correct Answer - B
`((CP-SP))/(SP) = (10)/(100)`
10 CP = 11 SP, now let CP = 1
So CP of 11 items = 11 and SP = 10,
Loss percent ` = ((11-10)/(11) xx 100) % = (100)/(11)%`
3825.

An item was marked 40% above its cost price and then given two successive discounts of 20% each. Calculate the cost price of the item if the selling price is Rs. 44801. Rs. 48002. Rs. 52003. Rs. 50004. Rs. 45005. Rs. 5600

Answer» Correct Answer - Option 3 : Rs. 5000

Given:

Marked price is 40% above cost price.

Successive discount of 20% is given

Selling price of the item is Rs. 4480

Concept:

Successive discount means discount on the discounted price.

Formula:

Mp = (100 + x)% of Cp

Sp = {Mp × (100 – y)%} × (100 – y)%}

Where Mp = marked price

Cp = cost price

x = percentage above cost price Mp is marked

Sp = selling price

y = successive discounts given

Calculation:

Let the Cp of the item be x

Mp = 140% of x = 1.4x

Sp = (1.4x × 80%) × 80%

⇒ Sp = 1.12x × 80%

⇒ Sp = 0.896x

0.896x = 4480

⇒ x = 4480/0.896

⇒ x = 5000

Cost Price is Rs. 5000

3826.

A dealer marked the price of an item 40% above the cost price. Once he gave successive discounts of 20% and 25% to a particular customer. As a result, he incurred a loss of ₹448. At what price did he sell the item to the mentioned customer?A. ₹2416B. ₹2352C. ₹2268D. ₹2152

Answer» Correct Answer - B
Let the cost price of the itms be 100.
`underset(CP)100overset(40%uarr)to underset(MP)140overset(20%uarr)to112overset(25darr)to underset(SP)84`
`therefore` Loss = 16% and Loss = ₹ 448
`therefore CP = (448 xx 100)/(16) = ₹ 2800 `
`therefore SP = (2800 xx 84)/(100) = ₹ 2352`
3827.

A dishonest dealer sells his goods at 10% loss on cost price but uses 20% less weight. What is his profit or loss percent?1. 14%2. 15%3. 10.5%4. 12.5%5. 20%

Answer» Correct Answer - Option 4 : 12.5%

Given:

Loss% on the CP (a) = 10%

Less weight (b) = 20%

Formula Used:

Profit%/Loss% = (b ± a)/(100 – b) × 100

Calculations:

As, a = 10% and b = 20%

Then,

⇒ Profit%/Loss% = (b ± a)/(100 – b) × 100

⇒ (20 – 10)/(100 –20) × 100

⇒ 10/80 × 100

⇒ 12.5%

The dealer’s profit% is 12.5%.

Here, we need to note that:

If there is a loss of a% on the CP, then we have the formula:

Dealer's profit% = [(b - a)/(100 – b)] × 100

And if there is a profit of a% on the CP, then we have the formula:

Dealer's Loss% = [(b + a)/(100 – b)] × 100

3828.

The marked price of a bed sheet is Rs. 1500. A customer pays Rs. 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount was:1. 15%2. 7%3. 9%4. 8%

Answer» Correct Answer - Option 4 : 8%

GIVEN:

Marked price = Rs. 1500

And

Selling price = Rs. 1173

First discount = 15%

CONCEPT:
Basic concept of discount.

FORMULA USED:

Discount = [(MP – SP)/MP] × 100

CALCULATION:

Overall discount

= [(1500 – 1173)/1500] × 100

= 21.8%

Suppose 2nd discount = x%

So,

15 + x – 15x/100 = 21.8

⇒ 0.85x = 6.8

⇒ x = 8

∴ Second discount = 8%

3829.

A dishonest shopkeeper sells the rice using a weight 20% less than the true weight and makes a profit of 30%. Find his total profit%.1. 60%2. 62.5%3. 75%4. 57.5%

Answer» Correct Answer - Option 2 : 62.5%

Given:

A dishonest shopkeeper sells the rice using a weight 20% less than the true weight and makes a profit of 30%.

Formula used:

P = S.P – C.P

P% = (P/C.P) × 100

P → Profit

C.P → Cost price

S.P → Selling price

Calculations:

Let CP of 1000 gm be Rs. 1000

So, cost price of 800 gm = 1000 × (100 – 20)/100 = Rs. 800

Selling price of 1000 gm = 1000 × (100 + 30)/100 = Rs. 1300

The shopkeeper is gaining 1300 – 800 = Rs. 500

Profit% = [500/800] × 100 = 62.5%

∴ Required profit % is 62.5%
3830.

Which of the following factors affect the rate of a reaction ?(A) Temperature (B) Pressure (C) Concentration (D) All of the above

Answer»

Correct answer is (D) All of the above

3831.

Find the LCM and HCF of m and n , if m=2004! and n=2005×2006×2007×2008×2009

Answer»

m=2004!

=1×2×3×4×...........2004×2005⁰×2006⁰×2007⁰×2008⁰×2009⁰

n=2005×2006×2007×2008×2009×1⁰×2⁰×3⁰×4⁰............×2004⁰

LCM=1×2×3×......×2004×2005×....

2009=2009!

HCF=1×1×1....=1

3832.

The unit of rate constant for the zero order reaction is – (A) mol.litre-1 sec-1 (B) time-1 (C) mol-1 litre sec-1 (D) None of these

Answer»

Correct answer is (A) mol.litre-1 sec-1 

3833.

If the rate of a chemical reaction is expressed in the following manner : Rate = K[A]2[B], then the order of this reaction would be–(A) 2 (B) 3 (C) 1 (D) 0

Answer»

Correct answer is (B) 3

3834.

If 75% of a first order reaction is completed in 32 minutes then the time required for 50% completion is – (A) 8 minutes (B) 24 minutes (C) 16 minutes (D) 20 minutes

Answer»

Correct answer is (C) 16 minutes

3835.

`75%` of a first-order reaction was completed in `32` minutes, when was `50%` of the reaction completed ?A. 24 minB. 16 minC. 8 minD. 4 min

Answer» Correct Answer - B
3836.

Salmonella typhi is causative organism of a. Undulent fever b. Remittent fever c. Dengue fever d. Enteric fever

Answer»

Salmonella typhi is causative organism of Enteric fever.

3837.

Diphtheria is caused by a. Corynebacterium diphtheriae b. C. Bovis c. C. Jeikeium d. C. equi 

Answer»

a. Corynebacterium diphtheriae

3838.

In enteric fever, the organ lodging maximum number of the organism is a. Liver b. Gall bladder c. Small intestine d. Large intestine

Answer»

b. Gall bladder

3839.

How Does Food Get Contaminated by Gastroenteritis Viruses

Answer»

Food can become contaminated by people who have gastro, if they do not wash their hands properly after going to the toilet and before handling food. Bacteria which can cause gastro are often present on raw foods such as meats, poultry and eggs.

3840.

Diphtheria is an example of a. Bacteraemia b. Pyaemia c. Septicemia d. Toxaemia

Answer»

Diphtheria is an example of Toxaemia.

3841.

The following infections caused by Esch. Coli, except a. Urinary tract infections b. Septic infections of wounds c. Diarrhoea d. Dysentery e. Meningitis

Answer»

e. Meningitis

3842.

True about Enteric fever is a. Bacteraemia in first week b. Carrier in 90% c. All serotypes cause the disease d. Rosy spots on 18th day

Answer»

a. Bacteraemia in first week

3843.

Bacterial gastroenteritis is caused by ………

Answer»

Bacterial gastroenteritis commonly results from the consumption of food or water that has become contaminated with bacteria or their toxins. It can cause a range of symptoms, including diarrhea, abdominal cramping, nausea, and vomiting.

3844.

Viral infection is caused due to a. Acute self limited illness b. No apparent symptoms c. Chronic infection with persistent viral shedding d. All of these

Answer»

d. All of these

3845.

E.coli produces the following toxins: a. Enterotoxins b. Endotoxins c. Verocytotoxins d. Hemolysins

Answer»

b. Endotoxins 

3846.

Gastroenteritis is caused by a. Shigella b. V.cholerae c. V.cholera Parahaenolyticus d. S.typhi

Answer»

c. V.cholera Parahaenolyticus

3847.

Which of the following statements is/are correct with respect to citizenship bill 2016 ? 1. Grants citizenships status based on religion to illegal immigrants. 2. Seeks to cancel the registration of OCI cardholders for violation of any law. Select the correct answer.A. 1 OnlyB. 2 OnlyC. BothD. None

Answer» Correct Answer - C
The Bill amends the Citizenship Act, 1955 to make illegal migrants who are Hindus, Sikhs, Buddhists, Jains, Parsis and Christians from Afghanistan, Bangladesh and Pakistan, eligible for citizenship. The Bill provides that the registration of Overseas Citizen of India (OCI) cardholders may be cancelled if they violate any law.
3848.

Who has released Climate Change Performance Index ?A. UNFCCCB. UNEPC. GermanwatchD. World Bank

Answer» Correct Answer - C
The Climate Change Performance Index (CCPI) is an annual publication by Germanwatch, and Climate Action Network Europe.
3849.

Global Risks Report is released byA. World BankB. UNDPC. World Meterological OrganizationD. World Economic Forum

Answer» Correct Answer - D
The global risks Report 2019 has been released by the world economic forum (WEF).
3850.

According to the Global Report on Road Safety, which country tops in road deaths with 1.51 lakh road deaths in 2016 ?A. United StatesB. South KoreaC. IndiaD. China

Answer» Correct Answer - C
India tops in roads daeths in 2016 and globally the toll of road deaths increased from 1.25 million to 1.35 in a span of three years. According to the report, at this rate, the sustanable development Goals(SDG) target 3.6 to halve road traffic deaths by 2020 will not be met. The united nations had declared the 2010-2020 as the Decade of action for road safety.