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- Question
A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?
Options- A. 30
- B. 24
- C. 12
- D. 8
- Correct Answer
- 12
ExplanationWhen the larger cube is cut into smaller cubes, the corner cubes will have paint on three sides. The cubes in the middle of the faces will have paint on only one side, but the cubes cut from the edges will have paint on two sides. In this case, there will be only one cube one each edge (excluding the corners), and since there are 12 edges, there will be 12 cubes with paint on two sides.
- 1. If a2 = 12, then a4 =?
Options- A. 144
- B. 72
- C. 36
- D. 24 Discuss
- 2. Which of the following is the largest?
Options- A. 12/49
- B. 7/30
- C. 13/56
- D. 11/46 Discuss
- 3. Which of the following is a rational number?
Options- A. 0.241
- B. 1.732
- C. 4
- D. All of the above Discuss
- 4. If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ?
Options- A. 3
- B. 2
- C. 1
- D. 0 Discuss
- 5. There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?
Options- A. 42 & 24
- B. 38 & 26
- C. 36 & 24
- D. 44 & 28 Discuss
- 6. Which of the following can be used to illustrate that not all prime numbers are odd?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 7. Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + ....
Options- A. 30,400
- B. 30,200
- C. 34,600
- D. 38,400 Discuss
- 8. What least number must be substracted from 627349 so that the remaining number is divisible by 15 ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 9. The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ?
Options- A. 546, 3901
- B. 415, 3770
- C. 668, 4023
- D. 404, 3759 Discuss
- 10. (3x + 2) (2x - 5) = ax˛ + kx + n. What is the value of a - n + k ?
Options- A. 4
- B. 1
- C. 5
- D. 3 Discuss
Numbers problems
Search Results
Correct Answer: 144
Explanation:
Given a x a = 12
asked to find a x a x a x a = (a x a) x (a x a)
a4 = a2 x a2
= 12 x 12
= 144.
Correct Answer: 12/49
Explanation:
In the given options,
12/49 can be written as 1/(49/12) = 1/4.083
7/30 can be written as 1/(30/7) = 1/4.285
13/56 can be written as 1/(56/13) = 1/4.307
11/46 can be written as 1/(46/11) = 1/4.1818
Here in the above,
1/4.083 has the smallest denominator and so 12/49 is the largest number or fraction.
Correct Answer: 4
Explanation:
Any number which can be expressed as a fraction of two integers like P & Q as P/Q where Q is not equal to zero.
Every integer is a rational number since Q can be 1.
Hence, in the given options, 4 can be expressed as a simple fraction as 4/1. And all other options cannot be expressed as fractions.
Hence, 4 is a rational number in the given options.
Correct Answer: 0
Explanation:
Let assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1
Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0
Correct Answer: 44 & 28
Explanation:
Let
x = peacocks
y = deers
2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers
Correct Answer: 2
Explanation:
The only even numbers in the list are 2 and 4, but 4 is not a prime. So 2 can be used to illustrate the statement that all primes are not odd.
Correct Answer: 30,400
Explanation:
we can treat every two consecutive terms as one.
So, we will have a total of 100 terms of the nature:
(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....
We know the sum of n terms
Now, a= 7, d=6 and n=100
Hence the sum of the given series is
S= 100/2 x[2 x 7 + 99 x 6]
=> 50[608]
=> 30,400.
Correct Answer: 4
Explanation:
On dividing 627349 by 15, we get remainder = 4.
Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.
Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.
Correct Answer: 668, 4023
Explanation:
Let the smaller number be k.
Then, larger number = (3355 + k)
Therefore 3355 + k = (6k + 15)
?=? 5k = 3340
?=? k = 668.
Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.
Correct Answer: 5
Explanation:
(3x + 2) (2x - 5) = ...............(1)
But (3x + 2)(2x - 5) = ........(2)
so by comparing (1) & (2),
we get a= 6, k= -11 , n= -10
(a - n + k) = 6 + 10 - 11 = 5.
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