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Directions: Study the following table carefully and answer the questions given below: Number (N) of Candidates (In lakhs) Appearing For An Entrance Examination From Six Different States And The Percentage (P) of Candidates Clearing the Same Over the Years | YEAR | A (N) | A (P) | B (N) | B (P) | C (N) | C (P) | D (N) | D (P) | E (N) | E (P) | F (N) | F (P) | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | **2004** | 1.23 | 42 | 1.04 | 51 | 1.11 | 32 | 1.32 | 24 | 1.23 | 36 | 1.33 | 31 | | **2005** | 1.05 | 43 | 1.12 | 62 | 1.07 | 47 | 1.15 | 49 | 1.18 | 55 | 1.24 | 24 | | **2006** | 2.04 | 38 | 1.48 | 32 | 1.08 | 28 | 1.96 | 35 | 1.42 | 49 | 1.58 | 26 | | **2007** | 1.98 | 41 | 2.07 | 43 | 1.19 | 30 | 1.88 | 46 | 1.36 | 47 | 1.79 | 29 | | **2008** | 1.66 | 53 | 1.81 | 50 | 1.56 | 42 | 1.83 | 60 | 1.73 | 57 | 1.86 | 34 | | **2009** | 1.57 | 39 | 1.73 | 36 | 1.64 | 52 | 2.01 | 56 | 1.69 | 55 | 1.95 | 37 | In which year did the highest number of candidates clear the entrance exam from State D ?
Aptitude Statistics Difficulty: Medium
01 Oct 2026
On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are $45^\circ$ and $60^\circ$. If the height of the tower is 150 m, the distance between the objects is
Aptitude Height and Distance Difficulty: Medium
01 Oct 2026
In every 30 minutes the time of a watch increases by 3 minutes. After showing the correct time at 5 a.m; what time will the watch show after 6 hours?
Aptitude Clock Difficulty: Easy
01 Oct 2026
The volume of the largest sphere which can be carved out of a cube of side $6$ cm is
Aptitude Volume and Surface Area Difficulty: Easy
01 Oct 2026
If the radii of two spheres are in the ratio $1 : 4$, then their surface areas are in the ratio
Aptitude Volume and Surface Area Difficulty: Easy
01 Oct 2026
The height of a triangle is equal to the perimeter of a square whose diagonal is $8\sqrt{2}$ metre and the base of the same triangle is equal to the side of a square whose area is 729sq. metre. What is the area of the triangle? (In sq. metre) [United India Insurance (UIICL) Assistant (Online) Exam, 2015]
Aptitude Area Difficulty: Medium
01 Oct 2026
The area of the largest triangle that can be inscribed in a semi-circle of radius $r$, is
Aptitude Area Difficulty: Easy
01 Oct 2026
If in a triangle, the area is numerically equal to the perimeter, then the radius of the inscribed circle of the triangle is
Aptitude Area Difficulty: Easy
01 Oct 2026
There are three circles each of radius $\sqrt{7}$ cm. A triangle is formed by joining their centres. The angles at the centre made by the triangle are shown in the figure. The area of the shaded portion is <img src="/api/images/three-circles-radius-root-7-triangle-formed-joining-centres-shaded-area.png" alt="three circles radius root 7 triangle formed joining centres shaded area" width="300" height="200" loading="lazy" decoding="async" class="rounded border border-gray-300 mx-auto my-4" />
Aptitude Area Difficulty: Medium
01 Oct 2026
The circumference of a circle is equal to the side of a square whose area measures 407044 sq. cm. What is the area of the circle? (Bank P.O., 2010)
Aptitude Area Difficulty: Medium
01 Oct 2026
In an isosceles triangle, the measure of each of the equal sides is 10 cm and the angle between them is 45°. The area of the triangle is
Aptitude Area Difficulty: Easy
01 Oct 2026
The breadth of a rectangular field is $\frac{3}{4}$ of its length and its area is 300 sq. metres. What will be the area (in sq. metres) of the garden of breadth 1.5 metres developed around the field?
Aptitude Area Difficulty: Medium
01 Oct 2026
If $a : b = c : d$, then $\frac{ma + nc}{mb + nd}$ is equal to
Aptitude Ratio and Proportion Difficulty: Medium
01 Oct 2026
If $W_1 : W_2 = 2 : 3$ and $W_1 : W_3 = 1 : 2$, then $W_2 : W_3$ is
Aptitude Ratio and Proportion Difficulty: Medium
01 Oct 2026
A grocer purchases three qualities of lemons at different rates. The first quality was purchased at 2 for ₹ 1, the second at 3 for ₹ 2 and the third at 4 for ₹ 3. He sold all the lemons at 5 for ₹ 4. If the ratio of the number of lemons of the three qualities is 1 : 2 : 3, then what is the approximate gain or loss percentage incurred by the grocer?
Aptitude Profit and Loss Difficulty: Hard
01 Oct 2026
When water is changed into ice, its volume increases by 9%. If ice changes into water, the percentage decrease in volume is
Aptitude Percentage Difficulty: Medium
01 Oct 2026
If $a + b + c = 0$, then the value of $(x^a)^{a^2-bc} \cdot (x^b)^{b^2-ca} \cdot (x^c)^{c^2-ab}$ is equal to
Aptitude Surds and Indices Difficulty: Medium
01 Oct 2026
$(64)^4 \div (8)^5 = x$
Aptitude Surds and Indices Difficulty: Easy
01 Oct 2026
A two-digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than the original number. What is the number?
Aptitude Problems on Numbers Difficulty: Medium
01 Oct 2026
If $(x + y) = 3$, $xy = 2$, then what is the value of $x^3 + y^3$?
Aptitude Simplification Difficulty: Easy
01 Oct 2026
At Srinagar, starting at 9 a.m. on a certain day, snow began to fall at a rate of $1\frac{1}{4}$ inches every two hours until 3 p.m. If there was already $2\frac{1}{4}$ inches of snow on the ground at 9 a.m., how many inches of snow was on the ground at 3 p.m. that day?
Aptitude Simplification Difficulty: Easy
01 Oct 2026
A car company sold 150 cars in a special 6-day sale. Each day, the company sold 6 more than the previous day. How many cars were sold on the 6th day?
Aptitude Simplification Difficulty: Medium
01 Oct 2026
Let $a = (4 \div 3) \div 3 \div 4, b = 4 \div (3 \div 3) \div 4, c = 4 \div 3 \div (3 \div 4)$. The maximum value among the above three is
Aptitude Simplification Difficulty: Medium
01 Oct 2026
$(x - 968) \div 79 \times 4 = 512$
Aptitude Simplification Difficulty: Medium
01 Oct 2026
When $2^{256}$ is divided by $17$, the remainder would be
Aptitude Number System Difficulty: Medium
01 Oct 2026

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