Delhi SI CPO Nov 25 Shift-2

A ladder is resting against a wall, The angle between the foot of the ladder and the wall is $$45^\circ$$ and the foot of the ladder is 6.6 m away from the wall. The length of the ladder(in m)is:

The HCFof two numbersis 29, and the other two factors of their LCM are 15 and 13. The smaller of the two numbers is:

Solve for $$ \theta: \cos^{2} - \sin^{2} \theta = \frac{1}{2}, 0 < \theta < 90^\circ$$.

On the marked price of ₹1,250 ofan article, three successive discounts of 5%, 15% and 20% wereoffered, The amount(in ₹) of discount received by a customer is:

If $$\cot \theta = \frac{1}{\sqrt{3}}, 0^\circ < \theta^\circ < 90^\circ$$ then the value of $$\frac{2 - \sin^{2} \theta}{1 - \cos^{2} \theta} + (\cosec^{2} \theta - \sec \theta)$$ is:

Two circles of radii 15 cm and 10 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?

The fasting blood sugar level (F) and the post prandial blood sugar level (PP) of a patient was monitored for four weeks W1, W2, W3, W4, and the readings (in mg/dl) for the four weeks are as follows:
F/PP: 170/220, 150/180, 120/150, 90/120.
These have been presented through a bar graph. The normal rangeis considered to be:
F/PP: 70 - 100/100 - 130.

During which week was the fasting blood sugar level of the patient approximately 115.4% above the upper limit of normal pp blood sugar level?

Study the given histogram that shows the marks obtained by students in an examination and answer the question that Students follows.

The number of students who obtained less than 200 marks is:

The value of $$7 \div[5+1\div 2- \left\{ 4 + (4  of  2 \div 4) + (5 \div 5  of  2)\right\}]$$

Two pipes A and B can fill a cistern in $$12\frac{1}{2}$$ hours and 25 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom, it took 1 hour 40 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty the cistren?