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The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal. The numbers are (SSC CGL 1st Sit. 2015)- a)4, 12, 12, 20
- b)5, 11, 13, 19
- c)6, 10, 14, 18
- d)9, 7, 15, 17
Correct answer is option 'C'. Can you explain this answer?
The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal. The numbers are (SSC CGL 1st Sit. 2015)
a)
4, 12, 12, 20
b)
5, 11, 13, 19
c)
6, 10, 14, 18
d)
9, 7, 15, 17
 | Malavika Rane answered |
Given Information:
The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal.
Let's solve the problem step by step:
Step 1: Formulate the Equations
Let the four numbers be a, b, c, and d.
According to the given information, we have:
a + b + c + d = 48
(a + 5) + (b + 1) = (c - 3) + (d - 7)
Step 2: Simplify the Equations
From the second equation, we get:
a + b + 6 = c + d - 10
a + b = c + d - 16
Substitute the value of a + b from the second equation into the first equation:
c + d - 16 + c + d = 48
2c + 2d - 16 = 48
2c + 2d = 64
c + d = 32
Step 3: Find the Numbers
Now, we have:
a + b = 32
a + b + 6 = 32
a + b = 26
Let's check the options:
a = 6, b = 10, c = 14, d = 18
6 + 10 + 14 + 18 = 48
(6 + 5) + (10 + 1) = (14 - 3) + (18 - 7)
11 + 11 = 11 + 11
Therefore, the numbers are 6, 10, 14, and 18, which satisfy all the conditions given in the problem.
Thus, the correct answer is option 'C' (6, 10, 14, 18).
The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal.
Let's solve the problem step by step:
Step 1: Formulate the Equations
Let the four numbers be a, b, c, and d.
According to the given information, we have:
a + b + c + d = 48
(a + 5) + (b + 1) = (c - 3) + (d - 7)
Step 2: Simplify the Equations
From the second equation, we get:
a + b + 6 = c + d - 10
a + b = c + d - 16
Substitute the value of a + b from the second equation into the first equation:
c + d - 16 + c + d = 48
2c + 2d - 16 = 48
2c + 2d = 64
c + d = 32
Step 3: Find the Numbers
Now, we have:
a + b = 32
a + b + 6 = 32
a + b = 26
Let's check the options:
a = 6, b = 10, c = 14, d = 18
6 + 10 + 14 + 18 = 48
(6 + 5) + (10 + 1) = (14 - 3) + (18 - 7)
11 + 11 = 11 + 11
Therefore, the numbers are 6, 10, 14, and 18, which satisfy all the conditions given in the problem.
Thus, the correct answer is option 'C' (6, 10, 14, 18).
The value of 15.2 + 5.8 ÷ 2.9 × 2 – 3.5 × 2 ÷ 0.5 is equal to: (SSC CGL-2018)- a)4.8
- b)3.2
- c)5.2
- d)5.4
Correct answer is option 'C'. Can you explain this answer?
The value of 15.2 + 5.8 ÷ 2.9 × 2 – 3.5 × 2 ÷ 0.5 is equal to: (SSC CGL-2018)
a)
4.8
b)
3.2
c)
5.2
d)
5.4
 | EduRev SSC CGL answered |
15.2 + 5.8 ÷ 2.9 x 2 - 3.5 x 2 ÷ 0.5
15.2 + 2 x 2 - 7 x 2
15.2 + 4 – 14 = 5.2
15.2 + 2 x 2 - 7 x 2
15.2 + 4 – 14 = 5.2
What is the value of: (9 ÷ 30)2 × 2.4 + 0.3 o f 12 × (1 – 0.3)2 + 9 × (0.3)2 = ? (SSC MTS 2018)- a)3.43
- b)3.69
- c)2.79
- d)2.17
Correct answer is option 'C'. Can you explain this answer?
What is the value of: (9 ÷ 30)2 × 2.4 + 0.3 o f 12 × (1 – 0.3)2 + 9 × (0.3)2 = ? (SSC MTS 2018)
a)
3.43
b)
3.69
c)
2.79
d)
2.17
 | Anjana Singh answered |
(9 ÷ 30)2 × 2.4 + 0.3 of 12 × (1 – 0.3)2 + 9 × (0.3)2 = ?
⇒ (0.3)2 × 2.4 + 3.6 × (0.7)2 + 9 × (0.09)
⇒ (0.09) × 2.4 + 1.764 + 9 × (0.09)
⇒ 1.98 + 0.81
⇒ 2.79
⇒ (0.3)2 × 2.4 + 3.6 × (0.7)2 + 9 × (0.09)
⇒ (0.09) × 2.4 + 1.764 + 9 × (0.09)
⇒ 1.98 + 0.81
⇒ 2.79
What is the simplified value of (2 + 1) (22 + 1) (24 + 1) (28 +1)? (SSC Sub. Ins. 2017)- a)28 – 1
- b)216– 1
- c)232 – 1
- d)264 – 1
Correct answer is option 'B'. Can you explain this answer?
What is the simplified value of (2 + 1) (22 + 1) (24 + 1) (28 +1)? (SSC Sub. Ins. 2017)
a)
28 – 1
b)
216– 1
c)
232 – 1
d)
264 – 1
 | Mira Sharma answered |
According to question.
(2 + 1) (22 + 1) (24 + 1) (28 + 1) = ?
⇒ (2 + 1) (28 + 1) (22+ 1) (24 + 1)
⇒ (29 + 2 + 28 + 1) (26 + 22 + 24 + 1)
⇒ (215 + 214 + 213 + 212 + 211 + 210 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 2) + 1
Here, a = 2, n = 15 r = 2
∴
⇒ (216 – 2)
∴(216 – 2) + 1 = (216 – 1)
∴ (2 + 1) (22 + 1) (24 + 1) (28 + 1) = (216 – 1)
(2 + 1) (22 + 1) (24 + 1) (28 + 1) = ?
⇒ (2 + 1) (28 + 1) (22+ 1) (24 + 1)
⇒ (29 + 2 + 28 + 1) (26 + 22 + 24 + 1)
⇒ (215 + 214 + 213 + 212 + 211 + 210 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 2) + 1
Here, a = 2, n = 15 r = 2
∴
⇒ (216 – 2)
∴(216 – 2) + 1 = (216 – 1)
∴ (2 + 1) (22 + 1) (24 + 1) (28 + 1) = (216 – 1)
then the value of a + b + c (SSC Sub Ins. 2016)
is : (SSC CHSL-2018)
is equal To: (SSC Sub. Ins. 2018 )
is equal to: (SSC Sub. Ins. 2018 )- a)0.0009
- b)0.9
- c)0.009
- d)0.09
Correct answer is option 'D'. Can you explain this answer?
is equal to: (SSC Sub. Ins. 2018 )a)
0.0009
b)
0.9
c)
0.009
d)
0.09
| | EduRev SSC CGL answered |
This is in the form of
Here a = 5.75, b = 3.25
= 9/100 = 0.09
is: (SSC Sub. Ins. 2018 )
then (x + 1) equals to (SSC CGL 2nd Sit. 2015)
are arranged in ascending order, then the right arrangement is (SSC CGL 2016).
"
is: (SSC CHSL-2018)
then the values of a and b arerespectively (SSC CGL 2nd Sit. 2011)
The simplified value of 
is: (SSC Sub. Ins. 2015)- a)59.96
- b)599.6
- c)0.5996
- d)5.996
Correct answer is option 'D'. Can you explain this answer?
The simplified value of is: (SSC Sub. Ins. 2015)
is: (SSC Sub. Ins. 2015)a)
59.96
b)
599.6
c)
0.5996
d)
5.996
| | EduRev SSC CGL answered |
0.0539 – 0.002 = 0.0519
0.56 × 0.07 = 0.0392
0.0519 × 0.4 = 0.02076
0.04 × 0.25 = 0.01
So
0.56 × 0.07 = 0.0392
0.0519 × 0.4 = 0.02076
0.04 × 0.25 = 0.01
So
is (SSC Multitasking 2013)
Choose the incorrect relation(s) from the following: (SSC CGL 1st Sit. 2015)
- a)(i)
- b)(ii)
- c)(i) and (iii)
- d)(ii) and (iii)
Correct answer is option 'C'. Can you explain this answer?
Choose the incorrect relation(s) from the following: (SSC CGL 1st Sit. 2015)
a)
(i)
b)
(ii)
c)
(i) and (iii)
d)
(ii) and (iii)
 | Target Study Academy answered |
By squaring the given relations, we get (i) and (iii) are incorrect relations from the given statement.
is : (SSC CGL 2016)
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