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Which of the following is a quadratic equation whose roots are 37\frac37 and 125\frac{12}{5}

Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

Some purses are keys.

All lockers are keys.

All keys are pins.

Conclusions:

I. Some pins are purses.

II. No pin is a purse.

L, M, N, O, P, Q and R, are sitting in a straight row, facing north. Only three people sit between Q and N. M and O are immediate neighbours. O is at the extreme right end of the row. R is at the immediate left of N. Who is at the fifth position from the left end of the row?
Few birds (One each of Orange, Yellow, Black, Green, Grey, Red colour and three White coloured) were sitting in a row facing north. The black bird was an immediate neighbour of both, the red and the grey bird. The yellow bird was sitting to the immediate right of the green bird. Only three birds were sitting between the orange and the red bird and all these three birds were white. The yellow bird sat third to the right of the black bird. Which colour birds were sitting at the leftmost and rightmost ends of the row respectively?

Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(5) from the statements.

Statements:

Some beds are tables.

Some tables are cupboards.

Some cupboards are chairs.

Conclusions:

I. Some chairs are beds.

II. Some beds are cupboards.

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Mr. Sharma, Mr. Gupta and Ms Sinha invested ₹4,000, ₹8,000 and ₹6,000, respectively, in a business. Mr. Sharma left after 6 months. If after 8 months, there was a gain of 34,000, then what will be the share of Mr. Gupta?
L, G, K, P. H and Z live on eight different floors of the same multistorey building with 2 floors being vacant. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 8. H lives on floor No. 1. K on No. 2, and P on No. 8. One immediate floor above and one immediate floor below Z are vacant. G's floor is immediately above the floor on which L lives and G's floor is also immediately below P's floor. Who lives on floor No. 4?
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Which of the following number will replace the question mark (?) and complete the given number series? 45, 52, 61, 73, 90, ?
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The sum of the digits in a two-digit number is 9. If the value of the number is 6 more than 5 times the digit in the ones place, then the number is:
The equation x²-6x+9=0 can be written as:
Each vowel in the word OPTICAL is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter preceding it in the English alphabetical order. Which of the following letters will appear twice in the group of letters thus formed?
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13-Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 are not allowed.) (11, 64, 3) (17, 36, 11)
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The product of two numbers is 1472 and their HCF is 8. Find their LCM.
Each vowel in the word INCURABLE is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter preceding it in the English alphabetical order. How many vowels will be there in the new word thus formed?
Shyam walked 10 m towards the north and then turned left and walked 11 m. He then turned right and walked for 13 m, turned right again and walked for 10 m. He then turned left and walked 14 m, and then finally turned right and walked 1 m. How far is Shyam from the starting point? (All turns are 90 degree turns only)
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A ray of light is incident on the pole of a concave mirror. The acute angle between the incident ray and the principal axis will be called?
On 14 February 2022, ISRO successfully launched its first earth observation satellite of 2022, EOS-04. It was launched by which rocket?
How many language universities are located in India as on June 2022?
If a coil of a conductor with 50 Ω resistance is subjected to time varying magnetic field such that the EMF induced is 5 V, then the induced current in the coil is?
Which group of the modern periodic table is NOT mentioned in Mendeleev's periodic table?
Name India's lone participant in the winter Olympics, who finished 45th in the giant slalom event?
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In which year did the Indira Gandhi Government devalue the India Rupee?
In which year was The Municipal Corporation in Calcutta set up by a royal charter?
Which of the following materials is preferably used for electrical transmission lines?
The Bishnoi community contributes to forest and animal conservation in _________?
In which year was the 11th Fundamental Duty added in the Indian Constitution?
In chemical reaction N2 + xH₂ → 2NH3, what is the value of x?
Aerenchyma cells are present in ______?
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According to Fleming's right-hand rule, the index finger and the central finger of the right hand represent directions of ______and _________respectively?
An electric oven is rated 2500 W. The energy used by it in 5 hours will be?
The value of absolute refractive index of a medium is always?
Which regulatory body is the only note issuing authority in India?
What temperature will be required for the preparation of Plaster of Paris from gypsum?
Which of the following environmental factors plays an important role in deciding the sex of a developing organism in some animals?
Where is the respiratory pigment in human body present?

Fill in the blank using the appropriate form of the verb.

Usually they play cricket but now they ______ football.

Select the appropriate question tag. They rarely visit us, ______?
From which year onwards in the Union of India Budget presented on 1 February instead of the last working day of February?
Against which of the following Acts did Mahatma Gandhi decide to launch nationwide Satyagraha in 1919?
The term 'Panthalassa' is related to which of the following?
World Wetland Day was celebrated on 2 February 2022. What was theme of this year?
A current of 5 A flows through an electrical appliance when the potential difference of 50 V is applied across its terminals. What will be the current drawn by the appliance if the potential difference is increased to 110 V?