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All questions of Simplification for CLAT Exam
7.8 + 5.4 x 8.2 = ?- a)52.08
- b)108.24
- c)48.05
- d)102.05
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
7.8 + 5.4 x 8.2 = ?
a)
52.08
b)
108.24
c)
48.05
d)
102.05
e)
None of these
|
Knowledge Center answered |
Solution for 7.8 + 5.4 × 8.2
We solve using the order of operations (BODMAS):
- First, perform the multiplication:
5.4 × 8.2 = 44.28 - Next, add the result to 7.8:
7.8 + 44.28 = 52.08
Correct Answer: A: 52.08
- a)2 - √3
- b)2 + √3
- c)16 - √3
- d)14 - √3
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
a)
2 - √3
b)
2 + √3
c)
16 - √3
d)
14 - √3
e)
None of these
|
|
Knowledge Center answered |
Given expression:
[(2 + √3) / (2 - √3)] + [(2 - √3) / (2 + √3)] + [(√3 - 1) / (√3 + 1)]
- Simplify the first two terms:
- The denominator simplifies to 1.
- The numerator becomes 14.
- Result: 14.
- Simplify the third term:
- Rationalize the denominator to get 2 - √3.
- Add the results:
- 14 + (2 - √3) = 14 - √3.
Correct Answer: C: 14 - √3
(?)3 x (55) ÷ 225 = 3000- a)6
- b)8
- c)5
- d)9
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
(?)3 x (55) ÷ 225 = 3000
a)
6
b)
8
c)
5
d)
9
e)
None of these
|
|
Knowledge Center answered |
To solve (?)³ × (5⁵) ÷ 225 = 3000, follow these steps:
- Rearrange the equation:
(?)³ = (3000 × 225) ÷ 5⁵ - Calculate 5⁵:
5⁵ = 3125 - Simplify the numerator:
3000 × 225 = 675000 - Divide:
675000 ÷ 3125 = 216 - Find the cube root of 216:
√³(216) = 6
Correct Answer: A: 6
- a)62/3
- b)6
- c)31/3
- d)3
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
a)
62/3
b)
6
c)
31/3
d)
3
e)
None of these
|
Faizan Khan answered |
On solving, we will get x = 3 or x = -2
Ignoring the negative value answer is 3.
Ignoring the negative value answer is 3.
- a)51
- b)59
- c)57
- d)53
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
a)
51
b)
59
c)
57
d)
53
e)
None of these
|
|
Knowledge Center answered |
Solution for ∛185193
To solve ∛185193, we find the cube root:
- The cube root of 185193 is 57, since 57³ = 185193.
Correct Answer: C: 57
If the sum of a number and its square is 156, what is the number?- a)16
- b)14
- c)12
- d)13
- e)None
Correct answer is option 'C'. Can you explain this answer?
If the sum of a number and its square is 156, what is the number?
a)
16
b)
14
c)
12
d)
13
e)
None
|
|
Knowledge Center answered |
Let the number be x.
x+x2=156
x2+x−156=0
(x−12)(x+13)=0
x+x2=156
x2+x−156=0
(x−12)(x+13)=0
x+13=0
x=−13 (Since x is a natural number)
x−12=0
x=12
x=−13 (Since x is a natural number)
x−12=0
x=12
5616 ÷ 18 ÷ 8 = ?- a)34
- b)39
- c)38
- d)37
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
5616 ÷ 18 ÷ 8 = ?
a)
34
b)
39
c)
38
d)
37
e)
None of these
|
Kavya Saxena answered |
5616 ÷ 18 = 312
312 / 8 = 39
312 / 8 = 39
12.5 * 14 ÷ 8.75 + 12 = 20 + ? - a)14
- b)11
- c)12
- d)18
- e)15
Correct answer is option 'C'. Can you explain this answer?
12.5 * 14 ÷ 8.75 + 12 = 20 + ?
a)
14
b)
11
c)
12
d)
18
e)
15
|
Sankar Rane answered |
12.5 * 1.6 = 20 ; 20 + 12 – 20 = 12
47.932 + 56 + 97.168 – 67 – 78.3 – 22.7- a)33
- b)32.1
- c)33.1
- d)34.1
- e)None
Correct answer is option 'C'. Can you explain this answer?
47.932 + 56 + 97.168 – 67 – 78.3 – 22.7
a)
33
b)
32.1
c)
33.1
d)
34.1
e)
None
|
|
Knowledge Center answered |
Expression:
( 47.932 + 56 + 97.168 - 67 - 78.3 - 22.7 )
Step 1: Add the positive terms:
( 47.932 + 56 + 97.168 = 201.1 )
Step 2: Add the negative terms:
( 67 + 78.3 + 22.7 = 168 )
Step 3: Subtract the sum of negative terms from the sum of positive terms:
( 201.1 - 168 = 33.1 )
Final Answer: The result of the expression is 33.1.
5610 ÷ 35.0625 * 25 = ?- a) 3000
- b) 2000
- c)5000
- d) 4000
- e) 6000
Correct answer is option 'D'. Can you explain this answer?
5610 ÷ 35.0625 * 25 = ?
a)
3000
b)
2000
c)
5000
d)
4000
e)
6000
|
Yash Patel answered |
5610 ÷ 35.0625 = 160; 160 * 25 = 4000
- a)2 - √2
- b)√2 - 2
- c)2
- d)-2
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
a)
2 - √2
b)
√2 - 2
c)
2
d)
-2
e)
None of these
|
|
Prakhya Shrivastava answered |
√8 - √4 - √2
= 2√2 - 2 - √2
= √2-2
Hence option (b) is correct
= 2√2 - 2 - √2
= √2-2
Hence option (b) is correct
(85410 + 36885 + 24705) ÷ 1600 = ?- a)92.875
- b)91.875
- c)93.675
- d)92.675
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
(85410 + 36885 + 24705) ÷ 1600 = ?
a)
92.875
b)
91.875
c)
93.675
d)
92.675
e)
None of these
|
Aisha Gupta answered |
(85410 + 36885 + 24705) = 147000; 147000/1600 = 91.875
? * (523.5 + 687.5) = 24220- a)24
- b)20
- c)28
- d) 27
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
? * (523.5 + 687.5) = 24220
a)
24
b)
20
c)
28
d)
27
e)
None of these
|
|
Anaya Patel answered |
x * 1211 = 24220; x = 20
456 ÷ 24 * 38 – 958 + 364 = ?- a)167
- b) 146
- c)136
- d)128
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
456 ÷ 24 * 38 – 958 + 364 = ?
a)
167
b)
146
c)
136
d)
128
e)
None of these
|
|
Faizan Khan answered |
456 ÷ 24 = 19; 19 * 38 = 722; 722 + 364 – 958 = 128
(656 ÷ 164)² = √?- a)4
- b)16
- c)256
- d)400
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
(656 ÷ 164)² = √?
a)
4
b)
16
c)
256
d)
400
e)
None of these
|
|
Alok Verma answered |
656 ÷ 164 = 4; √? = 16 ; ? = 256
? % of 1400 – 18% of 750 = 159- a)27
- b)29
- c)17
- d)21
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
? % of 1400 – 18% of 750 = 159
a)
27
b)
29
c)
17
d)
21
e)
None of these
|
All Film Mistakes answered |
21% of 1400 is 294 18 % of 750 is 135 294-135 is 159
(169 – 144)½ ÷ (64 + 36)½ = ?
- a)0.5
- b)0.25
- c)2.5
- d)5
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
(169 – 144)½ ÷ (64 + 36)½ = ?
a)
0.5
b)
0.25
c)
2.5
d)
5
e)
None of these
|
|
Knowledge Center answered |
To solve the given expression:
1. Calculate the values inside the parentheses first: √(169 - 144 = 25) and √(64 + 36 = 100).
2. Now simplify the expression further: √25/√100 .
3. Calculate the square roots: 5/10
4. Finally, divide the two results: 0.5
Therefore, the correct answer is A: 0.5.
1. Calculate the values inside the parentheses first: √(169 - 144 = 25) and √(64 + 36 = 100).
2. Now simplify the expression further: √25/√100 .
3. Calculate the square roots: 5/10
4. Finally, divide the two results: 0.5
Therefore, the correct answer is A: 0.5.
- a)62
- b)58
- c)68
- d)66
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
a)
62
b)
58
c)
68
d)
66
e)
None of these
|
|
Knowledge Center answered |
Solution for ( ? )² / 4 + √1521 = 1063
To solve ( ? )² / 4 + √1521 = 1063, follow these steps:
- Calculate the square root of 1521:
√1521 = 39 - Substitute into the equation and simplify:
( ? )² / 4 + 39 = 1063
( ? )² / 4 = 1063 - 39 = 1024 - Multiply by 4:
( ? )² = 1024 × 4 = 4096 - Take the square root:
? = √4096 = 64
Correct Answer: E: None of these
–224 + (–314) x (–9) = ?- a)2602
- b)547
- c)– 547
- d)–2602
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
–224 + (–314) x (–9) = ?
a)
2602
b)
547
c)
– 547
d)
–2602
e)
None of these
|
|
Anaya Patel answered |
Option (a) 2602 is correct.
Explanation:-
{ Given,
-224 + ( - 314) * (-9)
According to BODMASS ;
=> -224 -314 * -9
=> -224 + 2826
=> 2602
=> 2602
12.5% of 350 * 8.4% of 250 = ?- a)912.75
- b)915.75
- c)913.75
- d)918.75
- e)916.75
Correct answer is option 'D'. Can you explain this answer?
12.5% of 350 * 8.4% of 250 = ?
a)
912.75
b)
915.75
c)
913.75
d)
918.75
e)
916.75
|
|
Aarav Sharma answered |
Given: 12.5% of 350 * 8.4% of 250
Calculation:
Step 1: Find 12.5% of 350
= (12.5/100) * 350
= 43.75
Step 2: Find 8.4% of 250
= (8.4/100) * 250
= 21
Step 3: Multiply the results of step 1 and step 2
= 43.75 * 21
= 918.75
Therefore, the answer is option D) 918.75.
Calculation:
Step 1: Find 12.5% of 350
= (12.5/100) * 350
= 43.75
Step 2: Find 8.4% of 250
= (8.4/100) * 250
= 21
Step 3: Multiply the results of step 1 and step 2
= 43.75 * 21
= 918.75
Therefore, the answer is option D) 918.75.
- a)6241
- b)6889
- c)6561
- d)5929
- e)None of thes
Correct answer is option 'C'. Can you explain this answer?
a)
6241
b)
6889
c)
6561
d)
5929
e)
None of thes
|
|
Anaya Patel answered |
C is the correct option. Solution-
4028÷53=76
6156÷76=81
So the value needed is a square of 81 which is 6561.
4028÷53=76
6156÷76=81
So the value needed is a square of 81 which is 6561.
Which one of the following fractions is the greatest?- a)1/7
- b)2/9
- c)4/11
- d)3/10
- e)None
Correct answer is option 'C'. Can you explain this answer?
Which one of the following fractions is the greatest?
a)
1/7
b)
2/9
c)
4/11
d)
3/10
e)
None
|
|
Knowledge Center answered |
1/7 = 0.1429
2/9 = 0.2222
4/11 = 0.3636
3/10 = 0.3
So, the greatest fraction is 4/11
2/9 = 0.2222
4/11 = 0.3636
3/10 = 0.3
So, the greatest fraction is 4/11
5.8 * 2.5 + 0.6 * 6.75 + 139.25 = ?- a)139.80
- b) 157.80
- c) 156.70
- d)170.70
- e)176.60
Correct answer is option 'B'. Can you explain this answer?
5.8 * 2.5 + 0.6 * 6.75 + 139.25 = ?
a)
139.80
b)
157.80
c)
156.70
d)
170.70
e)
176.60
|
|
Kavya Saxena answered |
5.8 * 2.5 + 0.6 * 6.75 + 139.25 = 157.80
- a)88
- b)74
- c)77
- d)84
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
a)
88
b)
74
c)
77
d)
84
e)
None of these
|
|
Kavya Saxena answered |
8/21 * x = 1008
x = 21168 / 8
x = 2646
20*168÷14-40 = ? + 110- a)60
- b)30
- c)40
- d)80
- e)90
Correct answer is option 'E'. Can you explain this answer?
20*168÷14-40 = ? + 110
a)
60
b)
30
c)
40
d)
80
e)
90
|
Ravi Singh answered |
168/14 = 12; 20*12 – 240; 240 – 40 = 200; 200 – 110 = 90
(?)1/4/ 8 = 48/(?)3/4- a)324
- b)364
- c)384
- d)374
- e)314
Correct answer is option 'C'. Can you explain this answer?
(?)1/4/ 8 = 48/(?)3/4
a)
324
b)
364
c)
384
d)
374
e)
314
|
Devansh Tomar answered |
Let? =x
A/q
Croos multiple then
X=8×48
X= 384
A/q
Croos multiple then
X=8×48
X= 384
69.69 – 51.54 + 73.65 = ? + 32.42- a)26.38
- b)32.38
- c)43.38
- d)57.38
- e)59.38
Correct answer is option 'E'. Can you explain this answer?
69.69 – 51.54 + 73.65 = ? + 32.42
a)
26.38
b)
32.38
c)
43.38
d)
57.38
e)
59.38
|
|
Kavya Saxena answered |
69.69 – 51.54 = 18.15
18.15 + 73.65 = 91.80
91.80 – 32.42 = 59.38
18.15 + 73.65 = 91.80
91.80 – 32.42 = 59.38
- a)
- b)
- c)4
- d)
- e)None of these
Correct answer is 'C'. Can you explain this answer?
a)
b)
c)
4
d)
e)
None of these
|
|
Knowledge Center answered |
To solve 82/3, follow these steps:
- Interpret the fractional exponent:
82/3 = (∛8)2 - Find the cube root of 8:
∛8 = 2 - Square the result:
2² = 4
Correct Answer: C: 4
[(272-32)(124+176)]/(17*15-15) = ?- a)240
- b)320
- c)400
- d)380
- e)300
Correct answer is option 'E'. Can you explain this answer?
[(272-32)(124+176)]/(17*15-15) = ?
a)
240
b)
320
c)
400
d)
380
e)
300
|
|
Aarav Sharma answered |
Given expression: [(272-32)(124 176)]/(17*15-15)
Simplifying the expression step by step:
1. [(272-32)(124 176)] = 24000
2. (17*15-15) = 240
3. [(272-32)(124 176)]/(17*15-15) = 24000/240
4. [(272-32)(124 176)]/(17*15-15) = 100
Therefore, the correct answer is option 'E': 300.
Simplifying the expression step by step:
1. [(272-32)(124 176)] = 24000
2. (17*15-15) = 240
3. [(272-32)(124 176)]/(17*15-15) = 24000/240
4. [(272-32)(124 176)]/(17*15-15) = 100
Therefore, the correct answer is option 'E': 300.
8% of 800 x ? = 224- a)4.5
- b)3.5
- c)4
- d)3
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
8% of 800 x ? = 224
a)
4.5
b)
3.5
c)
4
d)
3
e)
None of these
|
|
Divya answered |
8/100×800x=224 64x=224 x=3.5
- a)
- b)
- c)
- d)
- e)
Correct answer is option 'C'. Can you explain this answer?
a)
b)
c)
d)
e)
|
|
Knowledge Center answered |
= we know,
(4-3+13-8)+(1/2 - 1/7 + 2/7 -1/4)
= 6 + 11/28
= option C
(4-3+13-8)+(1/2 - 1/7 + 2/7 -1/4)
= 6 + 11/28
= option C
856 x 567 = ?- a)487064
- b)484218
- c)482784
- d)485352
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
856 x 567 = ?
a)
487064
b)
484218
c)
482784
d)
485352
e)
None of these
|
Sajal Bdw answered |
An easy way (here) just multiply units digit of two number
6×7=42 so whatever the number will be it will have unit place 2 therefore the answer is D
6×7=42 so whatever the number will be it will have unit place 2 therefore the answer is D
(4270 ÷ 122) + ? = 200- a)165
- b)155
- c)175
- d)185
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
(4270 ÷ 122) + ? = 200
a)
165
b)
155
c)
175
d)
185
e)
None of these
|
Nikita Singh answered |
4270 ÷ 122 = 35
200 – 35 = 165
200 – 35 = 165
What is the number in the unit place in (5427)641?- a)1
- b)7
- c)9
- d)3
- e)None
Correct answer is option 'B'. Can you explain this answer?
What is the number in the unit place in (5427)641?
a)
1
b)
7
c)
9
d)
3
e)
None
|
Deepali singhania answered |
The correct answer is B as the unit place will be 7 only .
8934 – 3257 + 481 = ? + 2578
- a)3250
- b)3580
- c)3560
- d)3480
- e)3520
Correct answer is option 'B'. Can you explain this answer?
8934 – 3257 + 481 = ? + 2578
a)
3250
b)
3580
c)
3560
d)
3480
e)
3520
|
Preeti Khanna answered |
Calculation:
- First, perform the subtraction: 8934 - 3257 = 5677
- Then, add 481 to the result: 5677 + 481 = 6158
- Finally, subtract 2578 from both sides to find the missing value: 6158 - 2578 = 3580
Therefore, the missing value is 3580. So, the answer is B: 3580.
- First, perform the subtraction: 8934 - 3257 = 5677
- Then, add 481 to the result: 5677 + 481 = 6158
- Finally, subtract 2578 from both sides to find the missing value: 6158 - 2578 = 3580
Therefore, the missing value is 3580. So, the answer is B: 3580.
(764 x ?) ÷ 250 = 382
- a)135
- b)125
- c)115
- d)145
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
(764 x ?) ÷ 250 = 382
a)
135
b)
125
c)
115
d)
145
e)
None of these
|
|
Knowledge Center answered |
Solution:
Given equation:
(764 x ?) ÷ 250 = 382
Solving for ?:
(764 x ?) = 382 x 250
? = (382 x 250) / 764
? = 125
Therefore, the value of ? is 125.
So, the correct answer is B: 125.
Given equation:
(764 x ?) ÷ 250 = 382
Solving for ?:
(764 x ?) = 382 x 250
? = (382 x 250) / 764
? = 125
Therefore, the value of ? is 125.
So, the correct answer is B: 125.
16.23 * 12.9 + 17.32 = ?- a)224.87
- b)234.87
- c)244.87
- d)226.687
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
16.23 * 12.9 + 17.32 = ?
a)
224.87
b)
234.87
c)
244.87
d)
226.687
e)
None of these
|
Machine Experts answered |
16.23 * 12.9 = 209.367
209.367 + 17.32 = 226.687
209.367 + 17.32 = 226.687
So Option D is correct
The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.- a)42
- b)53
- c)17
- d)71
- e)None
Correct answer is option 'D'. Can you explain this answer?
The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.
a)
42
b)
53
c)
17
d)
71
e)
None
|
|
Knowledge Center answered |
Let the two-digit number be represented as 10a + b, where:
- a is the tens digit.
- b is the one digit.
According to the problem:
- The sum of the digits is 8:a+b=8
- When the digits are reversed, the number is decreased by 54. The number with reversed digits is 10b + a. So:10a+b−(10b+a)=54Simplifying this equation:10a+b−10b−a=54
9a−9b=54
a−b=6
Now, we have two equations:
- a+b=8
- a−b=6
Add these two equations:
(a+b)+(a−b)=8+6
2a = 14
a=7
2a = 14
a=7
Substitute a=7 into a+b=8:
7+b=8 , b = 1
So, the number is 10a+b=10×7+1=71
Answer: The number is 71.
36 * 1.75 + 24 * 3.25 = ? - a)142
- b)141
- c)162
- d)182
- e)152
Correct answer is option 'B'. Can you explain this answer?
36 * 1.75 + 24 * 3.25 = ?
a)
142
b)
141
c)
162
d)
182
e)
152
|
|
Ravi Singh answered |
36 * 1.75 + 24 * 3.25 = 63 + 78 = 141
184 ÷ 46 ÷ 0.008 ÷ 12.5 = ?- a)30
- b)40
- c)60
- d)80
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
184 ÷ 46 ÷ 0.008 ÷ 12.5 = ?
a)
30
b)
40
c)
60
d)
80
e)
None of these
|
|
Rhea Reddy answered |
184 ÷ 46 = 4; 4 ÷ 0.008 = 500; 500 ÷ 12.5 = 40
Find the number in the unit place in (321)321 x (325)326.- a)1
- b)5
- c)6
- d)8
- e)None
Correct answer is option 'B'. Can you explain this answer?
Find the number in the unit place in (321)321 x (325)326.
a)
1
b)
5
c)
6
d)
8
e)
None
|
|
Faizan Khan answered |
321 raised to 321=1 in unit digit and any number ending in 5 raised to any number has always 5 as unit digit, so 1×5=5
A number when divided by 1092 gives a remainder 60. What remainder would be obtained by dividing the same number by 28?- a)6
- b)2
- c)5
- d)4
- e)None
Correct answer is option 'D'. Can you explain this answer?
A number when divided by 1092 gives a remainder 60. What remainder would be obtained by dividing the same number by 28?
a)
6
b)
2
c)
5
d)
4
e)
None
|
Aspire Academy answered |
In these type of of questions we apply a trick by just dividing the given remainder by given no.
60 ÷ 28
remainder will come( 4)
60 ÷ 28
remainder will come( 4)
444 ÷ (16*1.5) = ?
- a)14.5
- b)16.5
- c)18.5
- d)20.5
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
444 ÷ (16*1.5) = ?
a)
14.5
b)
16.5
c)
18.5
d)
20.5
e)
None of these
|
|
Rhea Reddy answered |
Given expression:
444 ÷ (16 × 1.5)
Step 1: Calculate the denominator
The denominator is: 16 × 1.5
16 × 1.5 = 24
Denominator = 24
Step 2: Divide the numerator by the denominator
Now divide: 444 ÷ 24 = 18.5
Final result = 18.5
The correct answer is: c) 18.5
444 ÷ (16 × 1.5)
Step 1: Calculate the denominator
The denominator is: 16 × 1.5
16 × 1.5 = 24
Denominator = 24
Step 2: Divide the numerator by the denominator
Now divide: 444 ÷ 24 = 18.5
Final result = 18.5
The correct answer is: c) 18.5
- a)12
- b)15
- c)17
- d)16
- e)None
Correct answer is option 'D'. Can you explain this answer?
a)
12
b)
15
c)
17
d)
16
e)
None
|
Vidya Mishra answered |
Answer: The root of no. 169 is 13 and same as the square of 256 is 16 and this equals to on the right hand side. Hence the 16 is a sure answer....
? / 529 = 324 / ? - a)325
- b)414
- c)456
- d)448
- e)352
Correct answer is option 'B'. Can you explain this answer?
? / 529 = 324 / ?
a)
325
b)
414
c)
456
d)
448
e)
352
|
|
Preeti Khanna answered |
x² = 529 * 324 ⇒ x = 23 * 18 = 414
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