List of practice Questions

Evaluate the following expression: \[ \frac{0.963 \times 0.963 - 0.963 \times 0.037 + 0.037 \times 0.037}{0.963 \times 0.963 \times 0.963 + 0.037 \times 0.037 \times 0.037} \]
If \( a^3 + b^3 = c^3 \), then \( (a + b - c)^3 + 27abc \) is equal to:
The number 325325 is divisible by:
The single digit value of \( k \) satisfying the algebraic relation \( k + 1k + 2k + 4k + k^2 = 19k \), is:
If the sum of two numbers is 12 and their difference is 8, then the product of the two numbers is:
Three numbers are in the ratio 2 : 3 : 5 and their HCF is 6. The numbers are :
In a class of 35 students, the average weight of 21 students is 46 kg and the average weight of the remaining students is 41 kg. The average weight of all the students and a teacher is 44.75 kg. What is the weight of the teacher (in kg)?
If \[ \frac{28.5}{5} \, \frac{21.5}{15} = \frac{15.5}{30} = \left( \frac{x}{4} \right)^3 - 3, \] then the value of \(x\) is:
By selling an item at a discount of 20%, the profit is 20%. The profit percentage, if the item is sold at a discount of 10%, is:
Choose the correct spelling:
Choose the correct spelling:
Choose the correct spelling:
Choose the most appropriate option for the following idiomatic expression: Instead of wasting time in discussions, kindly get down to brass tacks.
Choose the most appropriate option for the following idiomatic expression: ‘Will-o-the-Wisp’
Choose the most appropriate option for the following idiomatic expression: Children and fools should not play with edged tools.
Choose the word similar in meaning to the given word. PROSPERITY
Choose the word similar in meaning to the given word. VANGUARD
Choose the word similar in meaning to the given word. ROIL
Choose the word opposite in meaning to the given word. PAUCILOQUY
Choose the word opposite in meaning to the given word. BRITTLENESS
Choose the word opposite in meaning to the given word. PRIDE
Give one word for the given expression. Words inscribed on the tomb.
Fill in the blank with the appropriate word. Divide these twelve apples ______ three boys standing on the road.
Fill in the blank with the appropriate word. There were many interruptions ______ the chairman's speech.
Fill in the blanks. I was ______ soundly and ______ that a dog had entered the room.