SSC CGL 11th April 2022 Shift-3

study the given histogram that shows the height (in cm) of 100 students in an athletic team and answer the question that follows.

Express the number of students with height less than 170 cm as the percentage (correct to one decimal place) of the number of students with height more than 160 cm.

If $$\tan^{2} A + 2\tan A - 63 = 0$$ Given that O < A < $$\frac{\pi}{2}$$ what is the value of $$\left(2 \sin A + 5\cos A \right)$$?

In a manufacturing unit, it was noted that the price of raw material has increased by 25% and the labour cost has gone up from 30% of the cost of raw material to 38% of the cost of the raw material. What percentage of the consumption of raw material be reduced to keep the cost the same as that before the increase?

If the 7-digit number x8942y4 is divisible by 56, what is the value of $$\left(x^{2} - y\right)$$ for the largest value of y, where x and y are natural numbers?

Simplify the following expression:
$$\frac{3\frac{1}{2} + 5\frac{1}{3} \div 1\frac{1}{3} \times 5\frac{1}{4} - 5\frac{1}{2}}{1\frac{1}{2} \times 1\frac{2}{3} - 6\frac{1}{2}}$$

Select the option that expresses the given sentence in active voice.
How many candidates had been interviewed by him before lunch?

Select the most appropriate synonym of the given word.
Smooth

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
The student apologised the teacher for the delay in submitting the assignment.

Select the option that expresses the given sentence in indirect speech.
She said, “The stars are shining brightly tonight.”

The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
The recently hike / in the price of petroleum products / will hit / household budgets severely.