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Question : Directions: In a certain code language, FIRE is coded as 7391, and AGED is coded as 8247. What is the code for E in the given code language?
Option 1: 2
Option 2: 7
Option 3: 4
Option 4: 3
Correct Answer: 7
Solution : Given: FIRE is coded as 7391, and AGED is coded as 8247.
To obtain the required code compare both words and find out the common alphabet and number. On comparing, both words the alphabet E and the number 7 are common.
So, E is coded
Question : Directions: If the given sheet is folded to form a cube, which of the given figures is/are possible? (The numbers are shown to indicate the sides only.)
Option 1: Only 4
Option 2: Only 3
Option 3: Only 1 and 4
Option 4: Only 2
Correct Answer: Only 4
Solution : In the 3D view of dice, 1. Each face out of the three faces in the 3D view should be from all the pairs. 2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the opposite pairs
Question : The given sentence is divided into three segments. Select the option that has the segment with a grammatical error. If there is no error, select 'No Error' as your answer. Soumya will be speak / on 'Stress Management' in / London the next week.
Option 1: on 'Stress Management' in
Option 2: London the next week
Option 3: No Error
Option 4: Soumya will be speak
Correct Answer: Soumya will be speak
Solution : The correct choice is the fourth option.
Explanation: The future continuous tense is formed by using "will be", followed by the present participle form of the main verb. In this context, "speaking" is the present participle of the verb "speak". The
Question : What should come in place of the question mark (?) in the following mathematical statement? $\sqrt{19 \times 650 \div 13+18.5 \times 4} \times 13=?$
Option 1: 416
Option 2: 418
Option 3: 413
Option 4: 415
Correct Answer: 416
Solution : $\sqrt{19 \times 650 \div 13+18.5 \times 4} \times 13$ $=\sqrt{19 \times 50+18.5 \times 4} \times 13$ $=\sqrt{950+74} \times 13$ $=\sqrt{1024} \times 13$ $=32 \times 13$ $=416$ Hence, the correct answer is 416.
Question : The area of an equilateral triangle is $4 \sqrt{3} \mathrm{~cm}^2$. Find the side (in cm) of the triangle.
Option 1: $2$
Option 2: $4$
Option 3: $\sqrt{3}$
Option 4: $2 \sqrt{3}$
Correct Answer: $4$
Solution : It is known that the area of the equilateral triangle = $\frac{\sqrt{3}}{4}a^2$ Where $a$ is the side of the equilateral triangle. It is given that the area of the equilateral triangle is $4\sqrt{3}$ cm$^2$ So, $\frac{\sqrt{3}}{4}a^2$ = $4\sqrt{3}$ ⇒ $a^2 = 16$ ⇒ $a =
Question : Cooperative farming has been most successful in which country?
Option 1: India
Option 2: Denmark
Option 3: USA
Option 4: Russia
Correct Answer: Russia
Solution : The correct answer is Russia.
There, cooperative farming took the form of collective farming, where member-owners worked together on the land. Both kolkhoz (run by the cooperative) and sovkhoz (run by the state) cooperatives existed. In the former Soviet Union (now Russia), it was at
Question : Which ground is called the 'Mecca of Cricket'?
Option 1: Eden Garden Cricket Ground
Option 2: Melbourne Cricket Ground
Option 3: Green Park cricket Stadium
Option 4: Lords cricket Ground
Correct Answer: Lords cricket Ground
Solution : The correct answer is Lords.
Lord's Cricket Ground in London, England, is often referred to as the "Mecca of Cricket." It was constructed in 1814 and named after Thomas Lord, the owner of Marylebone Cricket Club (the entity that administered cricket laws at
Question : Directions: The Venn diagram given below shows the artists in a music school. The Triangle represents Pianists, the Circle represents Drummers, the Rectangle represents Guitarists and the Square represents Singers. The numbers given in the diagram represent the number of persons in that particular category. How many singers are also pianists and guitarists but not Drummers?
Option 1: 9
Option 2: 5
Option 3: 7
Option 4: 12
Correct Answer: 5
Solution : The Venn diagram given below shows the artists in a music school. The Triangle represents Pianists, the Circle represents Drummers, the Rectangle represents Guitarists and the Square represents Singers. In the diagram, the shaded parts represent the singers are also pianists and guitarists but not
Question : If the height and slant height of a cone are 21 cm and 29 cm, respectively. Find its volume. (Use $\pi=\frac{22}{7}$)
Option 1: 8800 cm3
Option 2: 8708 cm3
Option 3: 8440 cm3
Option 4: 8080 cm3
Correct Answer: 8800 cm3
Solution : Given, height $= h = 21\ \mathrm{cm}$ Slant height $=l=29\ \mathrm{cm}$ Let $r$ be the radius. We know, $l^2=h^2+r^2$ ⇒ $r^2=l^2-h^2$ ⇒ $r^2=29^2-21^2$ ⇒ $r^2=841-441$ ⇒ $r^2=400$ ⇒ $r=20$ cm Now, Volume $=\frac{1}{3}\pi r^2h$ $=\frac{1}{3}\times\frac{22}{7}\times(20)^2\times21$ $=\frac{1}{3}\times\frac{22}{7}\times400\times21$ $=8800$ cm3 Hence, the correct answer
Question : A solid metallic sphere of radius 6.3 cm is melted and recast into a right circular cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone?
Option 1: 2 : 1
Option 2: 3 : 2
Option 3: 1 : 2
Option 4: 2 : 3
Correct Answer: 1 : 2
Solution : The radius of the sphere ($R$) = 6.3 cm The height of the cone ($h$) = 25.2 cm Volume of sphere = $\frac{4}{3} \pi R^3$ Volume of cone = $\frac{1}{3} \pi r^2h$ According to the question $\frac{4}{3} \pi R^3$ = $\frac{1}{3} \pi r^2
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