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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: –, =, ×, ×, ÷
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (15, 45, 90) (8, 24, 48)
Option 1: (9, 27, 45)
Option 2: (7, 21, 24)
Option 3: (6, 18, 36)
Option 4: (12, 36, 68)
Correct Answer: (6, 18, 36)
Solution : Given: (15, 45, 90); (8, 24, 48)
Like, (15, 45, 90)→15 × 3 = 45 and 15 × 6 = 90 (8, 24, 48)→8 × 3 = 24 and 8 × 6 = 48
Let's check the options – First option: (9, 27,
Question : Fill in the blank with an appropriate option. Habitat loss received little attention from all Twitter ______.
Option 1: band
Option 2: users
Option 3: forces
Option 4: pools
Correct Answer: users
Solution : The correct choice is the second option.
The word "users" is the appropriate option to fill in the blank.
The sentence suggests that habitat loss didn't receive much attention from the collective group of people using Twitter. In the context of the sentence, the term
Question : Among the following Himalayan peaks, which is the easternmost?
Option 1: Kangchenjunga
Option 2: Trishul
Option 3: Nanda Devi
Option 4: Kamet
Correct Answer: Kangchenjunga
Solution : The correct option is Kangchenjunga.
Kangchenjunga is the third-highest mountain in the world and is located on the India-Nepal border. It's the tallest mountain in India and the easternmost Himalayan summit, situated on the border between Nepal and the Indian state of Sikkim.
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