Question : What is $x$, if $x^{3}=1.5^{3}-0.9^{3}-2.43?$

Option 1: –0.5

Option 2: 0.6

Option 3: –0.7

Option 4: –1.6

Question : In alchemy, aqua fortis is the classical name of which chemical compound that is used chiefly in the manufacture of explosives and fertilisers, and in organic synthesis?

Option 1: Nitric acid

Option 2: Formic acid

Option 3: Chloric acid

Option 4: Hydrobromic acid

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

The world is undergoing rapid changes in the knowledge landscape. With various dramatic scientific and technological advances, such as the rise of big data, machine learning, and artificial intelligence, many unskilled jobs worldwide may be taken over by machines, while the need for a skilled workforce, particularly involving mathematics, computer science, and data science, in conjunction with multidisciplinary abilities across the sciences, social sciences, and humanities, (1)________ increasingly in greater demand. With climate change, increasing pollution, and depleting natural resources, there will be a sizeable shift in how we (2)_______ the world's energy, water, food, and sanitation needs, again resulting in the need for new skilled labour, particularly in biology, chemistry, physics, agriculture, climate science, and social science. The growing (3)________ of epidemics and pandemics will also (4)_______ collaborative research in infectious disease management and development of vaccines, and the resultant social issues heighten the need for multidisciplinary learning. There will be a growing (5)__________ for humanities and art as India moves towards becoming a developed country as well as among the three largest economies in the world.

Question:

Select the most appropriate option to fill in the blank number 1.

Option 1: is

Option 2: are

Option 3: will be

Option 4: should be

Question : Directions: In a certain code, DEPUTATION is written as ONTADEPUTI. How is DERIVATION written in that code?

Option 1: ONVADERITI

Option 2: ONDEVARITI

Option 3: ONVAEDIRTI

Option 4: ONVADEIRIT

Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words should be treated as meaningful words, and should not be related to each other based on the number of letters/consonants/vowels in the word.)
Whale : Mammal :: Crocodile : ?

Option 1: Rodent

Option 2: Amphibian

Option 3: Sea

Option 4: Reptile

Question : Which of the following elements is a member of the actinoid series?

Option 1: Magnesium

Option 2: Lanthanum

Option 3: Lutetium

Option 4: Thorium

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Rabindranath Tagore founded a small school at Santiniketan in 1901 and Kala Bhavan, an art school, in 1919, which (1)________ became a part of the Visvabharati University founded in 1921. Located in an (2)________ village some distance from the city of Calcutta, Kala Bhavan presented an alternative methodology of the art training in which studio-based practice was (3)________ in favour of learning through observation and living as a part of nature. The natural surroundings, with the (4)________ of bare red earth dotted with trees, the colours of the changing seasons, and the animals and birds (5)________ inspiration to students.

Question:

Select the most appropriate option to fill in the blank no. 4.

Option 1: vistas

Option 2: murk

Option 3: haze

Option 4: band

Question : (320 + 342 + 530 + 915) ÷ (20 + 22 – x + 18) = 43, then the value of $x$ is:

Option 1: 15

Option 2: 11

Option 3: 26

Option 4: 23

Question : The company manufactures boxes of three types - plastic, wood and glass. The ratio of the numbers of plastic, wood and glass boxes is 2 : 3 : 5. The difference between the numbers of wood and glass boxes is 144. If the number of plastic boxes is increased by 25%, then what will be the number of plastic boxes now?

Option 1: 144

Option 2: 360

Option 3: 216

Option 4: 180

Question : In terms of area, India is the _____________ largest country of the World.

Option 1: second

Option 2: fourth

Option 3: sixth

Option 4: seventh