1. Dancer is related to Stage in the same way as Minister is related to
A Dancer performs on a Stage, just as a Minister functions in a Parliament....
2. Mathematics is relayed to Numbers in the same way as History is related to
Mathematics deals with Numbers.
History deals with Events that have occurred in the past.
While Wars, People, and Dates are part of history,
Events best represents the broad subject matter of history, just as Numbers represent mathematics.
3. Sugar is related to Molasses in the same way as Gasoline is related to
Molasses is a byproduct obtained from Sugar processing.
Gasoline is a byproduct obtained from Petroleum refining.
Thus, the correct analogy follows:- Sugar : Molasses : Petroleum : Gasoline.
4. Mouse is related to Cat in the same way as Fly is related to
A Cat preys on a Mouse.
A Spider preys on a Fly.
Thus, the correct analogy follows:- Mouse : Cat : Fly : Spider.
5. Honey is related to Wax in the same way as Milk is related to
Honey and Wax are both produced by Bees.
Milk and Butter are both dairy products derived from Milk.
Thus, the correct analogy follows:- Honey : Wax :: Milk : Butter.
6. Motorcycle is related to Battery in the same way as Life is related to
A Motorcycle depends on a Battery for power.
Life on Earth depends on the Sun for energy and survival.
The correct analogy follows:- Motorcycle : Battery :: Life : Sun.
7. Doctor is related to Patient in the same way as Lawyer is related to
A Doctor treats a Patient.
A Lawyer represents a Client.
The correct analogy follows:- Doctor : Patient :: Lawyer : Client.
8. Bald is related to Blond in the same way as Barren is related to
Bald means having no hair, whereas Blond refers to a hair color.
Barren means unproductive or infertile, whereas Fertile refers to land that is productive and capable of growth.
The correct analogy follows:- Bald : Blond :: Barren : Fertile.
9. Wax is related to Grease in the same way as Milk is related to
Wax and Grease are both substances with similar properties (both are lubricants and semi-solid in nature).
Milk and Ghee are both dairy products, where Ghee is derived from Milk.
The correct analogy follows:- Wax : Grease :: Milk : Ghee.
10. Much is related to Many in the same way as Measure is related to
Much is used for uncountable quantities, whereas Many is used for countable quantities.
Measure is used for uncountable quantities, whereas Count is used for discrete, countable items.
The correct analogy follows:- Much : Many :: Measure : Count.
11. The total number of digits used in numbering the pages of a book having 366 pages is
Total Digits Calculation for 366 Pages:
• Pages 1 to 9 → 9 × 1 = 9 digits
• Pages 10 to 99 → 90 × 2 = 180 digits
• Pages 100 to 366 → 267 × 3 = 801 digits
Total = 9 + 180 + 801 = 990 digits
12. The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?
Let number of girls = x and number of boys = 3x.
Then, 3x + x = 4x = total number of students.
Thus, to find exact value be x, the total number of students must be divisible by 4.
Total number of children
Total=x+3x=4x
The total number of children must be a multiple of 4.
Now, checking the options:
40 → 40÷4=10 (Valid)
42 → 42÷4=10.5 (Not a multiple of 4)
44 → 44÷4=11 (Valid)
48 → 48÷4=12 (Valid)
13. The total of the ages of Amar, Akbar and Anthony is 80 years. What is the total of their ages of three years ago?
The current total age of Amar, Akbar, and Anthony is 80 years.
Three years ago, each of them was 3 years younger, so the total decrease in age is: 3×3=9 years
Thus, the total of their ages three years ago: 80−9=71 years
14. A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus?
Let the number of men in the bus initially be M.
The number of women is M/2 (since the number of women is half the number of men).
So, the total number of passengers initially:
M + M/2 = 3M/2
Changes at City Y:
• 10 men leave, so the number of men becomes M - 10.
• 5 women enter, so the number of women becomes M/2 + 5.
After these changes, the number of men and women becomes equal: M − 10 = M/2 + 5
Solving for M:
M – 10 – M/2 =5
M−M/2=15
M/2=15
M=30
So, initially, there were:
• Men = 30
• Women = 30/2 = 15
Total passengers initially = 30 + 15 = 45.
15. The age of a father is twice that of the elder son. Ten years hence the age of the father will be three times that of the younger son. If
the difference of ages of the two sons is 15 years, the age of the father is
Let the age of the elder son be x years.
Then, the age of the father is 2x years.
Let the age of the younger son be y years.
Given that the difference of ages of the two sons is 15 years: x−y = 15
Condition after 10 years: (Father’s age + 10) = 3 × (Younger son’s age + 10)
(2x + 10) = 3 (y + 10)
Let the age of the elder son be x years.
Then, age of younger son = (x - 15) years; age of the father = 2x years.
So, 2x + 10 = 3(x - 15 + 10)
⇒ 2x + 10 = 3x - 15
⇒ x = 25.
Father's age = 2x = 50 years.
16. Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has
to be equal to the cube of some number, then for how long he will have to wait?
Nitin's age last year = square of a number (5² = 25).
This year = 26.
Next year = cube of a number (3³ = 27).
Next cube after 27 is 64 (4³).
So, he must wait 64 - 26 = 38 years.
17. A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. How many carbon co
Before Folding:
• A placed 3 sheets with 2 carbon papers between them.
• This setup creates 2 carbon copies in addition to the original sheet
After Folding:
• Folding the sheets does not increase the number of carbon papers.
• The typing will still transfer through the same 2 carbon papers to create 2 copies.
Thus, the number of carbon copies remains 2, even after folding.
18. A shepherd had 17 sheep. All but nine died. How many was he left with?
The key phrase in the question is "All but nine died."
This means that all except 9 sheep died. So, the number of sheep left is 9.
19. A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and
all ducks but six. How many birds he had in the bag in all?
The shooter said:
All sparrows but six - Means 6 birds are not sparrows.
All pigeons but six - Means 6 birds are not pigeons.
All ducks but six - Means 6 birds are not ducks.
This means there are exactly 3 types of birds (sparrows, pigeons, ducks), and the total count is 9.
20. At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether?
Each person shakes hands with every other person exactly once.
The total number of handshakes is given by the formula for combinations:
Total handshakes = (n/2)=n(n−1)/ 2
where n = 10:
= (10 × 9)/2 = 45