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1.  

Practice data (hypothetical). Read the information and answer the questions. A coaching centre has 600 students in three courses – Banking, SSC and Railways. 40% of the students are in Banking, and the remaining students are divided between SSC and Railways in the ratio 3 : 2. In Banking, the ratio of boys to girls is 5 : 3. In SSC there are two boys for every girl. In Railways, 25% of the students are girls.

What is the total number of girls in the centre?

Correct Answer: D [198]

Explanation:

Girls: Banking 90 + SSC 72 + Railways 36 = 198.

2.  
By how many is the number of boys in SSC more than the number of girls in Banking?

Correct Answer: C [54]

Explanation:

SSC = 216 → boys 144; Banking = 240 → girls 90 → 144 − 90 = 54.

3.  
Boys form what per cent of all the students?

Correct Answer: C [67%]

Explanation:

Boys = 150 + 144 + 108 = 402 → 402 ÷ 600 = 67%.

4.  
What is the ratio of girls in Banking to girls in Railways?

Correct Answer: E [5 : 2]

Explanation:

90 : 36 = 5 : 2.

5.  
If 20% of the boys in Banking leave the centre, how many boys remain in the centre?

Correct Answer: D [372]

Explanation:

Banking boys 150 → 30 leave → 402 − 30 = 372.

6.  

Practice data (hypothetical). The table shows the production and sales of five factories in a month; some values are missing (–). Units unsold = units produced − units sold. Fill the table and answer the questions.

Factory Units produced Units sold Units unsold Sold (% of produced)
F1 800 640 – –
F2 – – 150 75
F3 1200 – – 65
F4 – 504 216 –
F5 900 – 135 –
How many units did factory F2 produce?

Correct Answer: B [600]

Explanation:

Unsold 150 = 25% of production → 600.

7.  
What is the total number of unsold units of the five factories?

Correct Answer: A [1,081]

Explanation:

160 + 150 + 420 + 216 + 135 = 1,081.

8.  
Which factory sold the highest percentage of its production?

Correct Answer: E [F5]

Explanation:

F1 640/800 = 80%, F2 75%, F3 65%, F4 504/720 = 70%, F5 765/900 = 85% → F5.

9.  
What is the ratio of the units sold by F3 to the units sold by F4?

Correct Answer: C [65 : 42]

Explanation:

F3 sold 65% of 1,200 = 780; F4 sold 504 → 780 : 504 = 65 : 42 (divide by 12).

10.  
What is the average production of the five factories?

Correct Answer: E [844]

Explanation:

F4 = 504 + 216 = 720; total 800 + 600 + 1,200 + 720 + 900 = 4,220 → 844.

11.  

Practice data (hypothetical). Data sufficiency on DI. Each question is followed by two statements. Decide whether the data in the statements is sufficient to answer the question and choose: A) Statement I alone is sufficient, B) Statement II alone is sufficient, C) Either statement alone is sufficient, D) Both statements together are needed, E) Both statements together are not sufficient.

What was firm R's profit (₹ lakh) in 2023?
I. Its profit in 2023 was 20% of its expenditure.
II. Its expenditure in 2023 was ₹ 45 lakh.

Correct Answer: D [Both statements together are needed]

Explanation:

I gives only the rate; II only the base.

12.  
A class has 40 students. How many of them are girls?
I. 60% of the students are boys.
II. There are 8 more boys than girls.

Correct Answer: C [Either statement alone is sufficient]

Explanation:

I: boys 24 → girls 16. II: b − g = 8, b + g = 40 → g = 16.

13.  
By what per cent did a shop's sales rise from 2023 to 2024?
I. Sales in 2024 were 1.25 times the sales in 2023.
II. Sales in 2023 were ₹ 80 lakh.

Correct Answer: A [Statement I alone is sufficient]

Explanation:

I alone: the ratio 1.25 gives +25% whatever the base.

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