Unitary Method Test-2

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Unitary Method Test-2

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Weekly Quiz Competition

Question 1
1 / -0.25

(16)^3/4 is equal to

A
4 √2

B
8

C
2 √2

D
16

E
None of these

Solution

(16)^3/4 can be written as ( 2 ) ⁴^{x 3/4}
( 2 ) ³ = 8
So option B is the correct answer.
Question 2
1 / -0.25

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

A
220030

B
22030

C
1220

D
1250

E
None of these

Solution

Let the number be N
the quotient, in this case, would be = 2(555-445)= 2 x 110 = 220
The Divisor would be = 555+445 = 1000
Remainder = 30
therefore number N would be = Divisor x Quotient + Remainder
which would be = 1000 x 220 + 30 = 220030
Question 3
1 / -0.25

A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is

A
0

B
1

C
2

D
3

E
None of these
Question 4
1 / -0.25

Given that the number of factors of 12 are 6. The number of factors of 24 must be

A
7

B
8

C
9

D
12

E
None of these
Question 5
1 / -0.25

The difference of two numbers is 3 and the difference of their squares is 39, then the larger number is

A
8

B
9

C
12

D
13

E
None of these
Question 6
1 / -0.25

If (12ⁿ + 1) is divisible by 13 then n is

A
Any even integer

B
1 only

C
Any odd integer

D
12 only

E
None of these

Solution

(xⁿ + aⁿ ) is divisible by (x + a) when n is odd.
∴(12ⁿ + 1) is divisible by (12 + 1) i.e., 13 when n is odd.
Question 7
1 / -0.25

is equal to

A
4/7

B
7/4

C
4/3

D
3/4

E
None of these
Question 8
1 / -0.25

A man is paid Rs. 20 for each day he works and forfeits Rs. 3 for each day he is idle. At the end of 60 days he gets Rs. 280. Then he was idle for

A
20 days

B
25 days

C
30 days

D
40 days

E
None of these

Solution

D is the correct option. Suppose the worker remained idle for x days. Then,
He worked for (60 –x) days.
Bindu 20 (60 –x) –3x = 280
a
1200 –23x = 280
==>23x = 920 ==>x = 40
So, the worker remained idle for 40 days.
Question 9
1 / -0.25

The product of two fractions is 14/15 and their quotient is 35/24, the greater fraction is

A
7/4

B
7/6

C
7/3

D
4/5

E
None of these

Solution

B is the correct option. Solution-
Let the no. be x and y.
xy= 14/15
x/y= 35/24
xy ×x/y= (14/15)×(35/24)
x^2= 490/360= 49/36
x= 7/6
xy= 14/15
7y/6=14/15
y= 4/5
therefore, 7/6 is the greater fraction.
Question 10
1 / -0.25

The sum of squares of two positive numbers is 100 and difference of their squares is 28. The sum of the numbers is

A
12

B
13

C
14

D
15

E
None of these

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Re-Attempt Weekly Quiz Competition

Unitary Method Test-2

Result

Unitary Method Test-2

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SHARING IS CARING

Question 1

4 √2

8

2 √2

16

None of these

Solution

Question 2

220030

22030

1220

1250

None of these

Solution

Question 3

0

1

2

3

None of these

Question 4

7

8

9

12

None of these

Question 5

8

9

12

13

None of these

Question 6

Any even integer

1 only

Any odd integer

12 only

None of these

Solution

Question 7

4/7

7/4

4/3

3/4

None of these

Question 8

20 days

25 days

30 days

40 days

None of these

Solution

Question 9

7/4

7/6

7/3

4/5

None of these

Solution

Question 10

12

13

14

15

None of these

User

Question Analysis

My Perfomance

Score

-

Rank

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