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Question : Directions: If the North is called Northwest, the West is called Southwest, the South is called Southeast and so on. A person walks straight from Southwest to Northeast and then turns left. Walks straight and again turns left. Now what direction he is facing?
Option 1: South
Option 2: North-East
Option 3: North
Option 4: South-West
Correct Answer: South-West
Solution : Given: North means Northwest, West means Southwest, South means Southeast, and so on.
Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and D is the endpoint.
So, the person is facing in the southwest direction.
Question : In the grasslands, trees do not replace the grasses as a part of an ecological succession because of:
Option 1: Limited sun light and paucity of nutrients
Option 2: None of options
Option 3: Insect and fungi
Option 4: Water limits and fire
Correct Answer: Water limits and fire
Solution : The correct answer is water limits and fire.
Grasslands are formed in zone of transition between forest ecosystem and desert ecosystem. They are also considered as the region of ecotone. Grasslands are usually created when there is lack of water to sustain
Question : The value of 0.1 × 99% of 1000 + 1.5 ÷ 0.3 × 1.1 is:
Option 1: 105.6
Option 2: 101.0
Option 3: 104.5
Option 4: 106.5
Correct Answer: 104.5
Solution : Given expression, 0.1 × 99% of 1000 + 1.5 ÷ 0.3 × 1.1 = 0.1 × (0.99 × 1000) + 1.5 ÷ 0.3 × 1.1 = 0.1 × 990 + 1.5 ÷ 0.3 × 1.1 = 0.1 × 990 + 5 × 1.1 = 99
Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. U39R : P118M : F18A : ? :: G72K : B217F
Option 1: C55V
Option 2: A55W
Option 3: A55V
Option 4: B55U
Correct Answer: A55V
Solution : Given: U39R : P118M : F18A : ? :: G72K : B217F
Subtract 5 in the place value of the first and third letter respectively, multiply the middle number by 2 and add the resultant to the addition of the number and 1 in U39R,
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
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