Test Maths By Sahil Sir

Sanjana, Kartik and Deepa invested ₹1,050, ₹1,320 and ₹1,730, respectively to start a business. If the profit at the end of the year is ₹1,230, what is Deepa's share of the profit?

What sum of money (in ₹) will amount to ₹2,400 at 4% per annum simple interest in 5 years?

A jacket is marked at ₹ 4,000. During a festive sale, it is given two successive discounts of 32% and 22%. What is the final price after both discounts, and what is the effective percentage discount?

In covering a distance of \(150\,\mathrm{km}\), Pranay takes \(2\) hours more than Aman. If Pranay doubles his speed, then he would take 3 hours less than Aman. Pranay's speed is:

If \( \frac{(\sin \theta+\cos \theta)}{(\sin \theta-4 \cos \theta)}=11 \), then the value of \( \frac{\left(13 \sin^{2} \theta+3 \cos^{2} \theta-3\right)}{\cos^{2} \theta} \) is:

The cost of 8 pens and 10 pencils is ₹132. If the cost of a pen decreases by ₹2 and the cost of a pencil increases by ₹7, then the cost of 17 pens and 6 pencils is ₹136. What is the original cost of \(12\) pens and \(9\) pencils?

Which of the following numbers divides 545714151?

Find the simple interest (in ₹) on ₹4,000 at 6.75% per annum rate of interest deposited on 25 February 2024 and withdrawn on 26 April 2024.

₹ 75,400 were divided among A, B and C, such that 3 times the share of A = 9 times the share of \(B\) = 4 times the share of \(C\). Find the share of \(A\).

Priya can do a certain piece of work in 26 days. Priya and Varsha can together do the same work in 13 days, and Priya, Varsha and Nisha can do the same work together in 10 days. In how many days can Priya and Nisha do the same work together?

Find the value of \(62^{3} \div 62^{2} \times 62^{-13}\).

The LCM of the numbers 15.4 and 0.006 is:

Varun bought some erasers at the rate of ₹150/dozen. He sold them for ₹18 each. His profit percentage is \( \qquad \) \%.

If 3 times Mary's present age is 20 years more than 5 times Diya's present age, and 2 times Diya's present age is 2 years less than Mary's present age, then what is the difference (in years) between the ages of Mary and Dia?

The average runs scored by a batsman in 23 matches is 41. In the next 10 matches, the batsman scored an average of 16 runs. Find his average runs scored (rounded off to two decimal places) in all the 33 matches.

Simplify: \( 3\left(\left(\frac{7}{3}\right) x^{2}-27 x+14\right)-7\left(x^{2}+8 x-11\right) \).

The number of prime numbers lying between 331 and 345, both included, is:

Find the circumference (in m) of the largest circle that can be drawn completely inside a rectangle whose dimensions are given as 14 m and 116 m. \(\text{Take }\pi=\frac{22}{7}.\)

If the third proportional of 16 and 56 be \( x \), then what is the value of \( x \)?

A number, when increased by 100%, gives 2820. The number is:

The value of \( \sqrt{169}+\sqrt{0.0144}-\sqrt{5.76} \) is \( \qquad \)

In an election between two candidates, 85% of the registered voters cast their vote and 4% of the votes polled were found invalid. The winning candidate got 65% of the valid votes and won the election by a margin of 2142 votes. How many voters were registered?

A sector is formed by a circular arc with a radius of 9 cm, subtending an \(18^{\circ}\) angle at the centre. What is its perimeter? (Use \(\pi = 3.14\). Rounded up to two decimal places.)

A can lay railway track between two given stations in 22 days and B can do the same job in 11 days. With the help of C, they did the job in 5 days only. Then, C alone can do the job in

What is the median of the following data? 76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17

In \( \triangle A B C, B D \perp A C \) at \( D \) and \( \angle D B C=16^{\circ} \). \( E \) is a point on \( B C \) such that \( \angle C A E=51^{\circ} \). What is the measure of \( \angle A E B \)?

Find a single discount equivalent to successive discounts of \(\mathbf{20\%}\), \(\mathbf{25\%}\) and \(\mathbf{15\%}\).

A trader claims to sell flour at a profit of \(47\%\), but also dishonestly uses a weight which is \(8\%\) less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)

Which of the following numbers divides 774359327?

Assertion (A): 412587 is divisible by 7. Reason (R): A valid test for divisibility by 7 is: subtract twice the last digit from the number formed by the remaining leading digits; if the result is a multiple of 7 (possibly after repeating the process), then so is the original number. Choose the correct option.

Let N be a natural number whose last four digits are 0832 (i.e., N ≡ 832 (mod 10000)). Which of the following statements must be true? I. N is divisible by 4 II. N is divisible by 8 III. N is divisible by 16 IV. N is divisible by 32

Find the least digit x (0–9) such that the number 5x2384 is divisible by 12.

Which of the following is the Chief Minister of a state in India primarily responsible for?

What is the projected annual growth rate of India-UK bilateral trade under the new Free Trade Agreement (FTA)?

Which of the following operating systems is NOT typically used on desktop or laptop computers?