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Question : Which of the Five-Year Plans was prepared and launched by D. P. Dhar?
Option 1: Sixth Five-Year Plan
Option 2: Seventh Five-Year Plan
Option 3: Fourth Five-Year Plan
Option 4: Fifth Five-Year Plan
Correct Answer: Fifth Five-Year Plan
Solution : The correct option is the Fifth Five-Year Plan.
D. P. Dhar designed and released India's Fifth Five-Year Plan. The Fifth Five-Year Plan ran from 1974 to 1979. The plan's primary goals were to reduce poverty and unemployment. It was launched against the backdrop
Question : ____is the largest slum in Asia.
Option 1: Kathputli
Option 2: Banganga
Option 3: Dharavi
Option 4: Baiganwadi
Correct Answer: Dharavi
Solution : The correct option is Dharavi.
Mumbai's Dharavi is regarded as one of Asia's biggest slums. With estimates of over a million people living in a comparatively small area, it is densely inhabited. Numerous small-scale enterprises and businesses can be found there, such as recycling, leather
Question : Directions: Eight boys B1, B2, B3, B4, B5, B6, B7, and B8 are sitting around a circular table facing opposite to the centre (not necessarily in the same order). B1 is third to the right of B3. B5 is second to the left of B3. B2 is fourth to the right of B4. B4 is second to the right of B1, and B8 is third to the left of B6. B6 is not the immediate neighbour of B1. Who is third to the right of B7?
Option 1: B3
Option 2: B5
Option 3: B7
Option 4: B4
Correct Answer: B4
Solution : Given: (I) B1 is third to the right of B3. B5 is second to the left of B3. B4 is second to the right of B1.
(II) B2 is fourth to the right of B4. B8 is third to the left of B6. B6 is
Question : The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.
Option 1: 6
Option 2: 10
Option 3: 8
Option 4: 4
Correct Answer: 4
Solution : An average of 8 numbers = 18 So, the sum of the 8 numbers = 8 × 18 = 144 If one number is excluded, then the sum of the 7 numbers = 7 × 20 = 140 Excluded number = 144 – 140 =
Question : Directions: Identify the alternative that resembles the mirror image of the given word.
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. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the
Question : Which one of the following types of medicines is used for treating indigestion?
I. Antibiotic
II. Analgesic
III. Antacid
IV. Antiseptic
Option 1: I
Option 2: II
Option 3: III
Option 4: IV
Correct Answer: III
Solution : The correct option is Antacid.
Antacids are drugs that neutralise stomach acid, relieving symptoms such as heartburn, indigestion, and acid reflux. They act by increasing the pH of the stomach, lowering acidity, and causing irritation that can cause discomfort.
Question : If $\left(5 \sqrt{5} x^3-3 \sqrt{3} y^3\right) \div(\sqrt{5} x-\sqrt{3} y)=\left(A x^2+B y^2+C x y\right)$, then what is the value of $(3 A-B-\sqrt{15} C)$?
Option 1: –3
Option 2: –5
Option 4: 12
Correct Answer: –3
Solution : Given: $\left(5 \sqrt{5} x^3-3 \sqrt{3} y^3\right) \div(\sqrt{5} x-\sqrt{3} y)=\left(A x^2+B y^2+C x y\right)$ ⇒ $\frac{(5 \sqrt{5} x^3-3 \sqrt{3} y^3)}{(\sqrt{5} x-\sqrt{3} y)}=\left(A x^2+B y^2+C x y\right)$ ⇒ $\frac{(x\sqrt{5})^3-(y\sqrt{3})^3)}{(\sqrt{5} x-\sqrt{3} y)}=(A x^2+B y^2+C x y)$ ⇒ $\frac{(\sqrt{5}x-\sqrt{3}y)(5x^2+\sqrt{15}xy+3y^2)}{(\sqrt{5} x-\sqrt{3} y)}=(A x^2+B y^2+C x y)$ ⇒ $5x^2+\sqrt{15}xy+3y^2=A x^2+B y^2+C
Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some if are but. All but are so. No so is a then. Conclusions: I. All if being then is a possibility. II. All then being if is a possibility.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All if being then is a possibility – From the Venn diagram, it is evident that some if are but and all
Question : An aeroplane flying horizontally at a height of 3 km above the ground is observed at a certain point on earth to subtend an angle of $60^\circ$. After 15 seconds of flight, its angle of elevation is changed to $30^\circ$. The speed of the aeroplane (Take $\sqrt{3}=1.732$) is:
Option 1: 230.63 m/s
Option 2: 230.93 m/s
Option 3: 235.85 m/s
Option 4: 236.25 m/s
Correct Answer: 230.93 m/s
Solution : AB = CD = 3 km = 3000 m In $\triangle$AOB, $\tan60^{\circ}=\frac{AB}{OB}$ ⇒ $OB=\frac{3000}{\sqrt3}=1000\sqrt3$ m In $\triangle$COD, $\tan30^{\circ}=\frac{CD}{OC}$ ⇒ $OC=3000\sqrt3$ m So, BC = AD = ($3000\sqrt3–1000\sqrt3)=2000\sqrt3$ m Therefore, the speed of the aeroplane = $\frac{2000\sqrt3}{15}$ m/s = 230.93 m/s Hence, the correct answer
Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation. 23 * 12 * 36 * 2 * 9 * 285
Option 1: –, =, ×, ×, ÷
Option 2: ×, +, ÷, –, =
Option 3: +, +, =, ×, ×
Option 4: =, +, +, ×, –
Correct Answer: ×, +, ÷, –, =
Solution : Given: 23 * 12 * 36 * 2 * 9 * 285
Replace * with the mathematical signs and solve the equations one by one using the BODMAS. Let's check the given options – First option: –, =, ×, ×, ÷
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