43825.If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 – 3xyz?
81
361
729
6561
43829.In the given figure, DE || BC and AD:DB = 5:3, then What is the value of (DE|BC)?
5/8
2/3
3/4
5/3
43830.PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?
52
77
128
142
43831.Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in cm2) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?
18√3
27√3
32√3
36√3
43832.In the given figure, PR and ST are perpendicular to tangent QR. PQ passes through centre O of the circle whose diameter is 10cm. If PR=9 cm, then what is the length (in cm) of ST?
1
1.25
1.5
2
43833.What is the simplified value of (sec A + cos A)(sec A – cos A)?
2 tan2 A
2 sin2 A
sin2 A tan2 A
sin2 A + tan2 A
43834.What is the simplified value of $ \left( \dfrac{cosec A}{cotA+tanA} \right)^{2} $
2cos2 A
1 – sin2 A
sec2 A
secA tanA
43835.What is the simplified value of $ \dfrac{tanA}{1-cotA} + \dfrac{cotA}{1-tanA}-\dfrac{2}{sin2A} $ ?
–1
0
1
2
43836.The table given below shows the precentage of literate people in 6 cities. This table also shows the ratios of males to females among literate people.
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
If the total population of City 4 is 600000, then how many literate people are there in city 4?
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
If the total population of City 4 is 600000, then how many literate people are there in city 4?
480000
378000
468000
348000
43837.The table given below shows the precentage of literate people in 6 cities. This table also shows the ratios of males to females among literate people.
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
Total population of City 6 is 200000 and the total population of City 2 is 220000. What is the respective ratio of literate males of City 2 and literate females of City 6?
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
Total population of City 6 is 200000 and the total population of City 2 is 220000. What is the respective ratio of literate males of City 2 and literate females of City 6?
348 : 595
255 : 199
595 : 348
199 : 255
43838.The table given below shows the precentage of literate people in 6 cities. This table also shows the ratios of males to females among literate people.
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
If there are 259210 literate females in City 5, then what is the total population of City 5?
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
If there are 259210 literate females in City 5, then what is the total population of City 5?
644000
354200
690000
483000
43839.The table given below shows the precentage of literate people in 6 cities. This table also shows the ratios of males to females among literate people.
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
The population of the 6 cities are 250000, 200000, 220000, 300000, 150000 and 400000 respectively. Which is the correct order of the number of literate people in these cities?
% of the literate people of any city
=(Literate people of the city / Total population of the city) * 100
The population of the 6 cities are 250000, 200000, 220000, 300000, 150000 and 400000 respectively. Which is the correct order of the number of literate people in these cities?
City 6 > City 1 > City 4 > City 2 > City 3 > City 5
City 4 > City 6 > City 1 > City 2 > City 3 > City 5
City 6 > City 4 > City 1 > City 3 > City 2 > City 5
City 6 > City 1 > City 4 > City 3 > City 2 > City 5
43840.English Comprehension
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No Error.
The Tata group owns (1)/ many industries, that are spread (2)/ across the globe. (3)/ No Error (4)
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No Error.
The Tata group owns (1)/ many industries, that are spread (2)/ across the globe. (3)/ No Error (4)
1
2
3
4
43841.In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No Error.
She has not been (1)/ to the restaurant (2)/ much late. (3)/ No Error (4)
She has not been (1)/ to the restaurant (2)/ much late. (3)/ No Error (4)
1
2
3
4
43842.In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
He could excel in his board exams only after _____ very hard.
He could excel in his board exams only after _____ very hard.
continuing
functioning
learning
toiling
43843.In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
He _____ his camera on the table.
He _____ his camera on the table.
laid
lain
lay
lie
43844.In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Monotonous
Monotonous
Dull
Timid
Unfriendly
Lusty