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Question : Directions: In a certain code language, BLAMED is written as DOEGHP. How is POLARY written in that code language?
Option 1: QPMBSZ
Option 2: ORSBUD
Option 3: DBVSRO
Option 4: KNOCQZ
Correct Answer: ORSBUD
Solution : Given: BLAMED is written as DOEGHP.
Consider the first three letters of BLAMED (BLA) as a single part and the next three letters (MED) as a single part. Now, reverse the order of the letters of each part individually – BLA→ALB; MED→DEM Add 3 to
Question : ABCD is a cyclic quadrilateral. The tangents to the circle at the points A and C on it, intersect at P. If $\angle\mathrm{ABC}=98^{\circ}$, then what is the measure of $\angle \mathrm{APC}$ ?
Option 1: 22°
Option 2: 26°
Option 3: 16°
Option 4: 14°
Correct Answer: 16°
Solution : $\angle$ABC = 98º $\angle$ABC + $\angle$CDA = 180º (Property of cyclic quadrilateral) ⇒ $\angle$CDA = 180º – 98º = 82º So, $\angle$AOC = 2 × $\angle$ADC (the angle at the centre is double that on the circumference by the same arc) = 2 × 82º
Question : The value of $\sqrt{3\sqrt{3\sqrt{3......}}}$ is equal to:
Option 1: $\sqrt{3}$
Option 2: $3$
Option 3: $2\sqrt{3}$
Option 4: $3\sqrt{3}$
Correct Answer: $3$
Solution : Given: $\sqrt{3\sqrt{3\sqrt{3......}}}$ Let $x = \sqrt{3\sqrt{3\sqrt{3......}}}$ $ ⇒ x = \sqrt{3x}$ By squaring both sides, we get: $ ⇒ x^{2} = 3x$ $ ⇒ x = 3$ Hence, the correct answer is $3$.
Question : Select the most appropriate option to fill in the blank. Please don’t ______ anyone that I came to your birthday party.
Option 1: told
Option 2: said
Option 3: tell
Option 4: say
Correct Answer: tell
Solution : The correct choice is the third option.
Explanation: The verb tell is the correct choice in this context because it is used for reporting or informing someone about something. In the sentence, you are asking someone not to inform or share with anyone
Question : Directions: Which answer figure shall complete the given question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the third option is correct.
Question : Study the given table and answer the question that follows. The table indicates the number of students studying in three disciplines in four different colleges.
Which college has the minimum number of students in Commerce?
Option 1: A
Option 2: B
Option 3: C
Option 4: D
Correct Answer: C
Solution : From the given data, the minimum number of students in commerce = 515 Hence, the correct answer is C.
Question : A is 20% more efficient than B. If B alone can complete a piece of work in 12 days, then A alone can complete the same work in how many days?
Option 1: 10
Option 2: 12
Option 3: 14
Option 4: 16
Correct Answer: 10
Solution : Let B be 100% efficient. Then A will be 120% efficient. Now, 100% efficient can do work in 12 days, 1% efficient will do work in $12 \times 100$ days. $\therefore$ 120% efficient can do work in $\frac{12 \times 100}{120}$ = 10 days Hence, the
Question : Directions: Arrange the given words in the sequence in which they occur in a dictionary. 1. Ratio 2. Raise 3. Rapid 4. Robin 5. Royal
Option 1: 2, 3, 1, 4, 5
Option 2: 3, 2, 5, 4, 1
Option 3: 2, 1, 4, 3, 5
Option 4: 2, 5, 4, 3, 1
Correct Answer: 2, 3, 1, 4, 5
Solution : Given: 1. Ratio 2. Raise 3. Rapid 4. Robin 5. Royal
Step 1: Compare the first letter of each word. Since all the words start with the same letter R, move on to the next letter. Step 2: The second
Question : Direction: The bar graph shows the number of employees working under the six different Departments (A, B, C, D, E, F) of a certain company. Study the diagram and answer the following question. If the average salary of these employees is INR 8,000, then how much was the company's expense (INR Lakh) towards salaries?
Option 1: 4.86
Option 2: 5.12
Option 3: 3.24
Option 4: 5.88
Correct Answer: 5.12
Solution : The total number of employees = 25 + 6 + 10 + 5 + 15 + 3 = 64 The average salary of employees = INR 8,000 The amount that the company pays for salary = 64 × 8000 = INR 5,12,000 = INR 5.12
Question : If $x^2-11x+1=0$, what is the value of $x^8-14159x^4+11$?
Option 1: 9
Option 2: 10
Option 3: 12
Option 4: 11
Solution : Given: $x^2-11x+1=0$ Divide both sides by $x$, we get $x-11+\frac{1}{x}=0$ ⇒ $x+\frac{1}{x}=11$ Squaring both sides we get ⇒ $x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=11^2$ ⇒ $x^2+\frac{1}{x^2}=121-2$ ⇒ $x^2+\frac{1}{x^2}=119$ Again squaring both sides we get, ⇒ $x^4+\frac{1}{x^4}+2×x^2×\frac{1}{x^2}=119^2$ ⇒ $x^4+\frac{1}{x^4}=14161-2$ ⇒ $x^4+\frac{1}{x^4}-14159=0$ Multiplying with $x^4$ we get ⇒ $x^8-14159x^4+1=0$ $\therefore x^8-14159x^4+11=10$ Hence,
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