What is the LCM of (48y³ + 432y² + 972y) and (8y⁴ + 20y³ – 72y²)?

Four siblings Allen, Ben, Charlie and Diana have their birthdays in different months and on different dates. Allen’s birthday is between 10^th and 15^th, Ben’s birthday is between 1^st and 5^th, of Charlie it is 26^th and 30^th and Diana’s birthday is between 5^th and 12^th. The sum of the date of birth is defined as the addition of the date and month, for e.g. 16 March will be 16/3 and will be added to give a sum 19 and dates are inclusive of both the ends. Find the minimum possible average of the sum of dates of birth.

If 0.165 is written in its simplest form fraction form, what will be the product of the numerator and the denominator?

In given diagram AD||BF||BC. Choose the correct option.

If log₈₁x + log₈₁$\left(\frac{1}{8}\right)=\frac{1}{4}$, then the value of x is:

Find the number of integers from 1 to 150 which are not divisible by any one of 3, 4 and 7.

Find the smallest six-digit number, when divided by 9 and 11 gives a remainder of 7.

Seema purchased 20 dozen note books at Rs. 48 per dozen. She sold 8 dozen at 10% profit and remaining 12 dozen at 20% profit. What is her profit percentage in this transaction?

The ratio of A’s and B’s income last year was 3 : 4. The ratio of their own incomes of last year and this year is 4 : 5 and 2 : 3 respectively. If the total sum of their present incomes is ₹4160, then find the present income of A.

The amount increases by 50% in 5 years time at simple interest. Find the compound interest of Rs. 15,000 after 4 years at the same rate?

Stephen deposits Rs. 10,000 each on 1^st July and increased his deposit by Rs. 4,000 every half yearly. Find the sum withdrawn by Stephen on 31^st December of the next year if the bank offers 12% compound interest calculated on half-yearly basis?

Akash is four times as good a workman as Ayan and is able to finish the job in 90 days less than Ayan. How many days will they take to finish the job working together?

Seeta, Geeta and Meeta can complete a survey on smokers in 40 days. Seeta and Geeta together can do twice as much work as Meeta alone and Seeta and Meeta together can do thrice as much work as Geeta alone.

What is the time taken by Meeta to complete the survey alone?

Nancy walking at a speed of 10 km/h reaches her office 10 minutes late. She increases her speed by 2 km/h next time, but finds she is still late by 4 minutes. What is the distance between her office and her house?

If Seema had walked 2.5 kmph faster, she would have taken 12 minutes less to walk 3 km. What is the speed of Seema?

Simplify, $\frac{{\left[{(3^{0.06})}^4\times {(9^{0.44})}^2\times {({81}^2)}^{0.4}\right]}^{10}}{{81}^{0.32}\times {(3^5)}^{0.68}\times {(9^3)}^{0.01}\times {({27}^2)}^{0.1}}$

2 : 1 : : 7 : ?

Which of the following will be the code for the word ‘Her’?

Which of the following will be the code for the word ‘Your’?

In which direction is she facing at the end?

In which direction is point X with respect to her initial position?

RIB, VEC, LVL, ?

Statements:

All W’s are Y’s.

All X’s are Y’s.

Some W and X are Z.

Conclusion:

I. Some Y are Z.

II. Some W is X.

Statements:

All M’s are N’s.

No N is O.

Some O’s are P’s.

Conclusion:

I. Some P is N.

II. All N’s are M’s.

Arrange the following words on the basis of its ranks in the dictionary-

A. Abject

B. Abrogate

C. Aberration

D. Abscond

Which of the following words cannot be formed by using same of or all of the letters of the word ‘PROTECTIVE’?

Find the next term in the series given below-

171, 192, 153, 174, 135, ?

Find the next term in the series given below-

20, 36, 88, 392, ?

How is P related to G?

How is W related to X?

How many female members are there in the family?

Which of the following terms is not related to the rest of the given three terms?

A scientist has a 100 litre cistern filled with acid. With a 20 litre bucket, he removes precisely 20 litres from the cistern, replacing it with some solution. He repeats this process again. What is the concentration of acid left in the cistern?

The National Handicrafts museum, Delhi, raised the price of entry ticket by 40% to increase its revenue, but after the increase in price the number of visitors decreased by 15%.

What is the percentage change in its revenue?

In a hospital, the number of baby girls born in a day is more than the number of baby boys by 50% of the total babies born in a day. The ratio of baby girls to the baby boys is

Given that 11 March, 1997 is Tuesday, what was the day on 11 March, 1597?

Statements: 4 < R, R$\le$U, U = J, J$\ge$W, O$\ge$J, J < L

Conclusions:

I. O $\ge$ J

II. R $\le$ W

III. 4 < O

IV. L > W

In how many ways can 18 chairs of black color and 16 chairs of white color be placed in a row so that two white chairs may not be together?

There are 5 pigeons and 4 parrots in a cage. If the cage is opened and one bird flew away, then what is the probability that it was a parrot?

A card is drawn at a random from a well shuffled deck of cards. Find the probability that the card drawn is a Red king.

Who amongst the following is sitting exactly opposite to D? 

Who amongst the following is sitting third to the left of A? 

E is related to D in the same way as A is related to C, based on the given seating arrangement. To whom against the following is ‘F’ related to following the same pattern? 

In a certain code “26” means “work hard” and “54” means “Social Science”. What do 5 and 4 mean in that code?

(I) 641 means “Science is hard”.

(II) 2357 means “Do some social work”.

A tank is filled in 5 hours by three pipes P1, P2, P3. The pipe P3 is twice as fast as P2 and P2 is twice as fast as P1. How much time will be taken by P1 alone to fill the cistern? 

The area of a rectangle is 4 times of the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is $\frac{2}{3}$rd of the side of the square. What is the side of the square?

Hunan was in short supply of which of the following commodities?

Which province was in short supply of Eggs?

Hubei was reached by which rescue vehicle?

In a class, 85% of students are ready to go on a picnic and 9 students don’t want to go. How many students are going for picnic?

In a certain code language, ‘$\rightarrow \nearrow \leftarrow$’ is coded as ‘*@$’, ‘$\downarrow \nwarrow \nearrow$’ as ‘?$%’ and ‘$\leftarrow \swarrow \downarrow$’ as ‘%+@’. 

Which of the following will be the code for ‘$\nwarrow$’? 

In a certain code language, ‘$\rightarrow \nearrow \leftarrow$’ is coded as ‘\*@$’, ‘$\downarrow \nwarrow \nearrow$’ as ‘?$%’ and ‘$\leftarrow \swarrow \downarrow$’ as ‘%+@’. 

Which of the following will be the code for ‘$\leftarrow$’? 

In which direction is he facing at the end?

In which direction is his initial position with respect to his final position?

Which of the following figures will come at the place of question mark?

Which of the following figures will appear next in the above given figure?

783, 633, 660, 490, 537, ? 

86, 90, 96, 104, ? 

Statements: 

All A is B. 

Some A is D. 

Some C is A. 

Conclusion: 

I. Some B is C. 

II. Some A is B. 

Which of the following sentences is/are grammatically correct?

S1: Neither Rocky nor Rambo have come.

S2: Neither Rocky nor Rambo has come.

Which of the following sentences is/are grammatically correct?

S1: One of my friends has got a nice job.

S2: One of my friends have got a nice job.

Which of the following sentences is grammatically correct?

S1: Richa is junior to me.

S2: Rohan is senior than me.

S3: Rambo is superior to us.

Which of the following sentences is grammatically correct?

S1: I prefer coffee than tea.

S2: I prefer coffee to tea.

He is telling/the truth because/he can sleep peacefully. /No Error.

Which of the following sentences is/are grammatically correct?

S1: Since Ram was very exhausted so he could not work overtime.

S2: Since Ram was very exhausted, he could not work overtime.

Ram swam ______ the river. The Metro passed ______ the tunnel between Saket and Green Park.

Which of the following words is the synonym (the word similar in the meaning) of the word Parlance?

A. Some of your favorite accessories are the ones you reach for again and again, those items that are portable, easy, and convenient.

B. Ease of use is a top consideration in everyone’s favorite, go-to accessories.

C. The following tips will help you identify accessories that will make your life easier.

D. When shopping for accessories for everyday use, special events, or travel, several factors stand out.

A. Underscoring this trend is that 82 percent of people who responded to a recent solar survey said they support making solar panels on American soil.

B. Currently, about 13 gigawatts of solar electric capacity have been installed nationwide—enough to power more than 2 million households.

C. For more than a decade, homeowners have embraced going green in various ways.

D. Now, a growing number of consumers are choosing American-made solar panels for their homes—and the solar installation industry is booming.

A. Very few plans receive the top Medicare rating.

B. Six of those 11 were Kaiser Permanente plans.

C. Out of 563 Medicare Advantage plans for 2013, only 11 plans with prescription drug benefits earned the top five-star rating.

D. Did you know Medicare has a rating system that evaluates health plans based on dozens of quality measures and patient experiences?

Which of the following word is the antonym (the word opposite in the meaning) of the word ‘Dolorous’?

Which of the following word is the antonym (the word opposite in the meaning) of the word ‘Engender’? 

Which of the following word is the antonym (the word opposite in the meaning) of the word ‘Disconsolate’? 

Which of the following can replace the given underlined statement with a single word? 

Guilt or blame that is deserved. 

When will ,in India, the production of Russia’s Sputnik V, vaccine against coronavirus, begin? 

Who are the CEOs of SII and RDFI respectively? 

Regarding Russian Sputnik V , which one is incorrect?