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Browse complete papersWhat will come in the place of ‘?’ in the following question?
√324 ÷ (3 × 6) – √196 ÷ √49 + 5 = ?2
2
3
4
1
0
Correct answer
2
Why this answer is correct
Concept used:
Calculation:
√324 ÷ (3 × 6) – √196 ÷ √49 + 5 = ?2
⇒ 18 ÷ (3 × 6) – 14 ÷ 7 + 5 = ?2
⇒ 18 ÷ 18 – 2 + 5 = ?2
⇒ 1– 2 + 5 = ?2
⇒ ? = √4 = 2
∴ The value of '?' is 2.
What will come in the place of the question mark ‘?’ in the following question?
77 + 85 × 9 ÷ 17 × 7 – 157 = ?
225
235
245
265
275
Correct answer
235
Why this answer is correct
Concept:
Follow BODMAS rule to solve this question, as per the order given below.
Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket –
Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.
Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.
Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.
Calculation:
77 + 85 × (9/17) × 7 – 157 = ?
⇒ 77 + (85 × 9 × 7)/17 – 157 = ?
⇒ 77 + (5355)/17 – 157 = ?
⇒ 77 + 315 – 157 = ?
⇒ 392 – 157 = ?
⇒ ? = 235
What will come in the place of the question mark ‘?’ in the following question?
96 of 7 ÷ 14 + 54 of 6 – 18 = ?
354
364
374
392
344
Correct answer
354
Why this answer is correct
Concept used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculation:
(96 × 7)/14 + (54 × 6) – 18 = ?
⇒ 672/14 + 324 – 18 = ?
⇒ 48 + 324 – 18 = ?
⇒ 372 – 18 = ?
⇒ 354 = ?
∴ The value of ? is 354
What will come in the place of the question mark ‘?’ in the following question?
8.33% of 1728 + 7.14% of 196 = ?
168
188
144
158
225
Correct answer
158
Why this answer is correct
GIVEN:
8.33% of 1728 + 7.14% of 196 = ?
FORMULA USED:
These types of questions, the knowledge of conversion from percentage to fraction should be known.
| Fraction | 1/11 | 1/12 | 1/13 | 1/14 |
|---|---|---|---|---|
| Percentage (%) | 9.09 | 8.33 | 7.69 | 7.14 |
Concept :
Follow BODMAS rule to solve this question, as per the order given below.
Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -
Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.
Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.
Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.
CALCULATION:
8.33% of 1728 = (1/12) × 1728 = 144
7.14% of 196 = (1/14) × 196 = 14
Given expression is
8.33% of 1728 + 7.14% of 196 = ?
⇒ 144 + 14 = ?
⇒ 158 = ?
∴ ? = 158
What will come in the place of the question mark ‘?’ in the following question?
(x) × {(729.5 + 820.5) – 550 } = 4280
4.18
4.28
4.208
4.802
3.82
Correct answer
4.28
Why this answer is correct
Concept used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculation:
(x) × {(729.5 + 820.5) – 550 } = 4280
⇒ (x) × {1550 – 550 } = 4280
⇒ (x) × {1000} = 4280
⇒ ( x ) × 1000 = 4280
⇒ x = 4280/1000
⇒ x = 4.28
∴ The value of ? is 4.28
What value will come in the place of the question mark ‘?’ in the following question?
(50 + 22) ÷ 0.24 ÷ 15 = ?
20
10
41
29
25
Correct answer
20
Why this answer is correct
Concept used:
Calculation:
(50 + 22) ÷ 0.24 ÷ 15 = ?
⇒ 72 ÷ 0.24 ÷ 15 = ?
⇒ 72 × (100/24) ÷ 15 = ?
⇒ 300 ÷ 15 = ?
∴ ? = 20
What will come in the place of the question mark ‘?’ in the following question?
√? + 1/6 of 216 + ∛512 = 108
256
4096
16
4
216
Correct answer
4096
Why this answer is correct
Concept used:
The concept of BODMAS will be used
Calculations:
Given expression is
√? + 1/6 of 216 + ∛512 = 108
⇒ √? + 36 + ∛512 = 108
⇒ 108 - 8 - 36 = √?
⇒ 64 = √?
⇒ ? = 642
∴ ? = 4096.
If the markup price of an article is Rs. 400 and the discount percentage is given on an article is 12.5%. What will be the selling price of an article?
Rs. 380
Rs. 350
Rs. 270
Rs. 300
Rs. 275
Correct answer
Rs. 350
Why this answer is correct
Given:
Markup price = Rs. 400
Discount percentage = 12.5%
Formula used:
Selling price = Markup price × [(100 - discount percentage)/100]
Calculation:
Selling price = 400 × [(100 – 12.5)/100]
⇒ 400 × (87.5/100)
⇒ 4 × 87.5
⇒ Rs. 350
∴ The selling price of an article is Rs. 350
A train 300 m long passes a pole in 15 seconds and crosses another train of the same length traveling in the opposite direction in 8 seconds. Calculate the speed of the other train in km/h.
200 km/h
198 km/h
190 km/h
222 km/h
None of the above
Correct answer
198 km/h
Why this answer is correct
Length of train = 300 m
Time is taken by train to pass a pole = 15 seconds
Time taken to cross another train of the same length = 8 seconds
Calculations:
Speed of the 1st train = 300/15 = 20 m/s
Let the speed of 2nd train be x
Relative speed = (20 + x) m/s
Length of 1st train + length of 2nd train = 300 + 300 = 600 m
In the second scenario the equation is
⇒ 600/(20 + x) = 8
⇒ 600 = 160 + 8x
⇒ 600 – 160 = 8x
⇒ 440 = 8x
⇒ x = 55 m/s
∴ Speed of the train = 55 × 18/5 = 198 km/h.
The speed of the train is 198 km/h.
L started a business with Rs. 15,000 and was joined afterwards by M with Rs. 25,000. After how many months did the M join if the profit at the end of year were divided in the ratio 6 : 5 ?
4 months
8 months
9 months
6 months
2 months
Correct answer
6 months
Why this answer is correct
Given:
L’s capital = Rs. 15,000
M’s capital = Rs. 25,000
Formula used:
shares of profit = amount invested × time period
Calculation:
Ratio of the shares of profit = Sohan : Mohan
⇒Sohan invested amount × time period of capital invested : Mohan invested amount × Time period of capital invested
⇒ 15,000 × 12 months : 25,000 × t = 6 : 5
⇒ t = 6 months
Mohan joined business for 6 months. ∴, He joined the business after 6 months i.e (12 – 6).