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Question : The average of a set of 15 consecutive even numbers is 64. What is the difference between the largest and the smallest numbers belonging to this set?
Option 1: 26
Option 2: 27
Option 3: 25
Option 4: 28
Correct Answer: 28
Solution : Use : an = a + (n - 1)d, where an = nth term of largest term of A.P a = first term, n = number of terms, d = common difference According to the question n = 15 and d =
Question : The sum of a non-zero number and twice its reciprocal is $\frac{33}{4}$. Find the number.
Option 1: 9
Option 2: 10
Option 3: 11
Option 4: 8
Correct Answer: 8
Solution : Let the non-zero integer be $x$. Given: The sum of a non-zero number and twice its reciprocal is $\frac{33}{4}$. $\Rightarrow x+\frac{2}{x}=\frac{33}{4}$ $\Rightarrow 4x^2-33x+8=0$ $\Rightarrow 4x^2-32x-x+8=0$ $\Rightarrow 4x(x-8)-(x-8)=0$ $\Rightarrow (4x-1)(x-8)=0$ $\Rightarrow (4x-1)=0 \;or\;(x-8)=0$ $\therefore x=8, \frac{1}{4}$ Hence, the correct answer is 8.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as
Question : $\left(4 x^3 y-6 x^2 y^2+4 x y^3-y^4\right)$ can be expressed as:
Option 1: $(x+y)^4-x^4$
Option 2: $(x+y)^4-y^4$
Option 3: $(x-y)^4-x^4$
Option 4: $x^4-(x-y)^4$
Correct Answer: $x^4-(x-y)^4$
Solution : $\left(4 x^3 y-6 x^2 y^2+4 x y^3-y^4\right)$ $=2xy^3 + 2xy^3 - 2x^2y^2 - 4x^2y^2 + 4x^3y- y^4 $ $=2xy^3 - 2x^2y^2 - y^4 + 4x^3y + 2xy^3 - 4x^2y^2$ $=-y^2(-2xy + 2x^2 + y^2) + 2xy (2x^2 + y^2 - 2xy)$ $=(2xy - y^2) (2x^2
Question : The value of (16 + 14) ÷ 2 – 12 + 16 × 4 – 28 + 13 (–16 + 13) is:
Option 1: 6
Option 2: 0
Option 3: –3
Option 4: 3
Correct Answer: 0
Solution : Given: (16 + 14) ÷ 2 – 12 + 16 × 4 – 28 + 13 (–16 + 13) Using the BODMAS rule we get, = 30 ÷ 2 – 12 + 16 × 4 – 28 + 13 (–3) = 15 – 12 +
Question : From the top of an upright pole $24 \sqrt{3}$ feet high, the angle of elevation of the top of an upright tower was $60^{\circ}$. If the foot of the pole was 60 feet away from the foot of the tower, how tall (in feet) was the tower?
Option 1: $84 \sqrt{3}$
Option 2: $36\sqrt{3}$
Option 3: $44\sqrt{3}$
Option 4: $60\sqrt{3}$
Correct Answer: $84 \sqrt{3}$
Solution : Here, AB = $24\sqrt3$ feet = PQ Distance, AP = 60 feet Here, AP = BQ = 60 feet In $\triangle$BQR, $\tan 60° = \frac{RQ}{BQ}$ ⇒ $\sqrt3=\frac{RQ}{60}$ $\therefore RQ = 60\sqrt3$ Height of the tower = RP = RQ + PQ = $60\sqrt3+24\sqrt3=84\sqrt3$ feet
Question : Select the correct passive form of the given sentence. What action will you take in the present circumstances?
Option 1: What action can be taken by you in the present circumstances?
Option 2: What action will be took by you in the present circumstances?
Option 3: What action may be taken by you in the present circumstances?
Option 4: What action will be taken by you in the present circumstances?
Correct Answer: What action will be taken by you in the present circumstances?
Solution : The correct answer is the fourth option.
Explanation:
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence
Question : Six tables and twelve chairs were bought for Rs. 7,800. If the average price of a table is Rs. 750, then the average price of a chair would be:
Option 1: Rs. 250
Option 2: Rs. 275
Option 3: Rs. 150
Option 4: Rs. 175
Correct Answer: Rs. 275
Solution : Average price of a table = Rs. 750 Price of six tables = 750 × 6 = Rs. 4500 Money spent on chair = Total money spent – Money spent on table Money spent on chair = 7800 – 4500 = Rs. 3300 Thus,
Question : Directions: Which answer figure will complete the pattern in the question figure?
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : Who among the following performing artists bagged the Best Actress award for Mena Gurjari?
Option 1: Sonal Mansingh
Option 2: Sitara Devi
Option 3: Shovana Narayana
Option 4: Mallika Sarabhai
Correct Answer: Mallika Sarabhai
Solution : The correct answer is Mallika Sarabhai.
Mallika Sarabhai is an Indian classical dancer, choreographer, actor, writer, and social activist best known for her advocacy of the arts as a means of social change. While completing her schooling, Sarabhai became a performing artist and gained
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