SSC CGL 2024-10.09.2024-3 SSC Question Paper

If 7cos2 θ+5sin2 θ−6=0,(0∘ <θ<90∘), then what is the value of 

If one man adds 6 litres of water to 10 litres of milk and another man adds 4 litres of water to 8 litres of milk. Find the ratio of milk in the two mixtures.

A shopkeeper allows a discount of 20% on the marked price of an item and thus gains 10%. What is the ratio of the cost price to the marked price of the item?

The table below shows incomes (in rupees) earned by five employees of a company during the month of March 2019 and the income sources. Source/Name of employee Reeta Seeta Geeta Neeta Aneeta Overtime 2500 2800 2300 2200 2600 Arrears 4500 4800 4900 5300 5600 Bonus 2300 2100 2500 2700 2800 Salary 24,000 30,000 29,000 32,000 34,000 The total amount of arrears paid by the company during the given period is what percentage of the total amount of bonus paid during the given period?

What is the central angle of a sector of a circle whose area and perimeter are, respectively, equal to 209 cm2 and 63 cm if it is given that its radius is a non-negative integer (roundup to one decimal place)?

English Comprehension
Select the option that can be used as a one-word substitute for the given group of words.
Fear of closed spaces

Select the option that expresses the given sentence in passive voice.
Historians tell us how this country was divided into three.

Select the correctly spelt word to fill in the blank.
The transistors are used as the main _________, which are built into computer chips.

Parts of a sentence are given below in jumbled order. Select the option that arranges the parts in the correct sequence to form a meaningful sentence.
(P) technology has revolutionised
(Q) and it has transformed the way
(O) every aspect of our lives
(R) we communicate and connect

Select the most appropriate ANTONYM of the word in the brackets to fill in the blank.
The ______ to the venue was decorated with beautiful lights. [exit]