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Hi
Directions: Study the following questions carefully and answer the questions given below:
Important for :
CDSE
CGL Tier 2
CGLTier 1
CLAT
SSC 10+2
1
The average of a non-zero number and its square is 7 times the number. The number is:
A
13
B
17
C
29
D
28
» Explain it
Correct Option:
A
Let the number be x. then,
x + x
^{2 }
= 7x
2
x
^{2}
+ x = 14x, x
^{2}
– 13 x = 0, x [ x – 13] = 0, x = 0, 13.
So the number is 13 .
1
A
B
C
D
» Explain it
सही विकल्प :
A
A
2
The average of 5 consecutive numbers is 30. The largest of these numbers is:
A
20
B
22
C
32
D
40
» Explain it
Correct Option:
C
Let the number be x, (x+1), (x+2), (x+3) & (x+4).
then,
(
x + (x+1) + (x+2) + (x+3) + (x+4)
)
= 30.
5
5x + 10 = 150, x = 140/5, x = 28.
So, the largest number is: x + 4 then,
put the value of x in the largest number: x + 4 = 28 + 4
⇒
32.
2
A
B
C
D
» Explain it
सही विकल्प :
C
C
3
The average of seven consecutive odd numbers is 36. What is the difference between the highest and lowest numbers ?
A
2
B
5
C
12
D
Can't be determined
» Explain it
Correct Option:
C
Let the smallest odd number be x
so acc. to the que. the consecutive num are
x, x + 2, x + 4, x + 6, x + 8, x + 10, x +12.
So the diffrence is x + 12 - x = 12.
Hence, option C is correct.
3
A
B
C
D
» Explain it
सही विकल्प :
C
C
4
The sum of four consecutive odd numbers is 30 more than the average of these numbers. What is the first of these numbers?
A
7
B
14
C
17
D
Data inadequate
» Explain it
Correct Option:
A
Let the numbers be
x
,
x
+ 2 ,
x
+ 4 & x + 6.
then, (x + x + 2 + x + 4 + x + 6) –
x + x + 2 + x + 4 + x + 6
=
30
4
⇒
4x + 12
–
(
4x + 12
)
= 30
4
Or, ( 4x + 12 – x – 3) = 30, So, 3x = 21, x = 7
So first number x = 7.
Hence, option A is correct.
4
A
B
C
D
» Explain it
सही विकल्प :
A
A
5
The mean of 1
^{3}
, 2
^{3}
, 3
^{3}
, 4
^{3}
, 5
^{3}
is :
A
30
B
35
C
45
D
70
» Explain it
Correct Option:
C
To solve this question, we can apply a short trick approach
1
^{3}
+ 2
^{3}
+ 3
^{3}
+........n
^{3}
=
n
^{2}
(n + 1)
^{2}
4
By the short trick approach, we get
1
^{3 }
+ 2
^{3 }
+ 3
^{3 }
+......+ 5
^{3}
=
5
^{2}
(5 + 1)
^{2}
=
5
^{2}
× 6
^{2}
4
4
4
⇒
(
25 x 36
)
= (25 x 9 ) ⇒ 225.
4
So,
Required average =
(
225
)
= 45.
5
Hence, option C is correct.
5
A
B
C
D
» Explain it
सही विकल्प :
C
C
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