Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
What will come in the place of the question mark ‘?’ in the following question?
(√ 324 + 18) × 5 + 45 = ?2
20
24
15
18
16
Correct answer
15
Why this answer is correct
Concept used:
We have to follow the BODMAS rule
Calculation:
⇒ (√ 324 + 18) × 5 + 45 = ?2
⇒ (18 + 18) × 5 + 45 = ?2
⇒ 180 + 45 = ?2
⇒ 225 = ?2
⇒ ? = 15
What will come in place of the question mark "?" in the following question.
80% of (1.5 × 4 + ?) = 32
27
24
34
25
14
Correct answer
34
Why this answer is correct
Given:
80% of (1.5 × 4 + ?) = 32
Concept Used:
Follow the BODMAS rule according to the table given below:
Calculation:
80% of (1.5 × 4 + ?) = 32
⇒ 4/5 × (6 + ?) = 32
⇒ (6 + ?) = 40
⇒ 34
∴ 34 will come in place of question mark "?".
What will come in the place of the question mark ‘?’ in the following question?
88 × 50% of 289 ÷ 17 = ?
648
748
348
368
468
Correct answer
748
Why this answer is correct
Given:
88 × 50% of 289 ÷ 17 = ?
Concept used:
Follow the BODMAS rule according to the table given below:
Calculation:
⇒ 88 × 50% of 289 ÷ 17 = ?
⇒ 88 × 144.5 ÷ 17 = ?
⇒ 88 × 8.5 = ?
⇒ ? = 748
∴ The value of ? will be 748
What will come in the place of the question mark "?" in the following question,
4900 ÷ 28 × 444 ÷ 12 = ?
6575
6475
6855
6905
None of these
Correct answer
6475
Why this answer is correct
Given:
4900 ÷ 28 × 444 ÷ 12 = ?
Concept Used:
Follow the BODMAS rule according to the table given below:
Calculation:
4900 ÷ 28 × 444 ÷ 12 = ?
⇒ 700/4 × 444/12
⇒ 175 × 111/3
⇒ 175 × 37
⇒ 6475
∴ The value of 4900 ÷ 28 × 444 ÷ 12 is 6475.
What will come in the place of ‘?’ in the following question?
√144 ÷ 4 × 6 – √196 ÷ √49 + 5 = ?
19
20
21
22
None of the above
Correct answer
21
Why this answer is correct
Concept used:
Calculation:
√144 ÷ 4 × 6 – √196 ÷ √49 + 5 = ?
⇒ 12 ÷ 4 × 6 – 14 ÷ 7 + 5 = ?
⇒ 3 × 6 – 2 + 5 = ?
⇒ 18 – 2 + 5 = ?
⇒ ? = 21
∴ The value of '?' is 21.
What will come in the place of the question mark '?' in the following question?
150 × 2 ÷ 50 + 250 ÷ 5 + 4 = ?
56
58
62
60
54
Correct answer
60
Why this answer is correct
Concept used:
Calculation:
150 × 2 ÷ 50 + 250 ÷ 5 + 4 = ?
⇒ 150 × 2/50 + 250/5 + 4 = ?
⇒ 3 × 2 + 50 + 4 = ?
⇒ 6 + 50 + 4 = ?
⇒ 60 = ?
∴ The value of '?' is 60.
What will come in the place of ‘?’ in the following question?
263 – 345 + 180 × 3% of 20 – 1 = ?
30
24
25
26
29
Correct answer
25
Why this answer is correct
Concept used:
Calculation:
263 – 345 + 180 × 3% of 20 – 1 = ?
263 – 345 + 180 × (3/100 × 20) – 1 = ?
263 – 345 + 180 × 60/100 – 1 = ?
263 – 345 + 18 × 6 – 1 = ?
263 – 345 + 108 – 1 = 25 = ?
∴ The value of '?' is 25.
What will come in the place of ‘?’ in the following question?
250 × 24 ÷ 12 ÷ 125 + 2 of 3 = ?
7
8
9
10
11
Correct answer
10
Why this answer is correct
Concept used:
Calculation:
250 × 24 ÷ 12 ÷ 125 + 2 of 3 = ?
⇒ 250 × 24/(12 × 125) + 2 × 3 = ?
⇒ 250 × 2/125 + 6 = ?
⇒ 2 × 2 + 6 = ?
⇒ 4 + 6 = ?
⇒ 10 = ?
∴ The value of '?' is 10.
What value should come in place of questions (?) in the following equations?
6/5 of 7/8 × 24/21 of 2425 = ?
2910
3220
3450
3870
None of these
Correct answer
2910
Why this answer is correct
Concept used:
Follow BODMAS rule to solve this question, as per the order given below.
Calculation:
6/5 of 7/8 × 24/21 of 2425 = ?
⇒ 6/5 × 7/8 × 24/21 × 2425 = ?
⇒ ? = 2910
What will come in the place of the question mark '?' in the following question?
1728 ÷ 122 × 53 + 40 = ?
1540
1590
1530
1490
1570
Correct answer
1540
Why this answer is correct
Concept used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculation:
1728 ÷ 122 × 53 + 40 = ?
⇒ 1728 ÷ 144 × 125 + 40 = ?
⇒ 12 × 125 + 40 = ?
⇒ 1500 + 40 = ?
⇒ 1540 = ?
∴ The value of ? is 1540
In same time, a boat can row double the distance downstream that it can row upstream. If the speed of the stream is 4km/hr, then find the speed of the boat in still water.
8 km/hr
12 km/hr
14 km/hr
16 km/hr
15 km/hr
Correct answer
12 km/hr
Why this answer is correct
Let the speed of boat in still water be x km/hr
Let the time required be t hours
Distance travelled downstream = Speed × Time = (x + 4)t
Distance travelled upstream = (x - 4)t
According to question;
(x + 4)t = 2(x - 4)t
⇒ x + 4 = 2x - 8
⇒ x = 12 km/hr
∴ Speed of boat in still water = 12 km/hr
Perimeter of the square is 4/5 of the area of rectangle whose length 11 cm and width is 6 cm less than the length. What is the length of the square?
12 cm
15 cm
121 cm
11 cm
100 cm
Correct answer
11 cm
Why this answer is correct
Given:
Length of rectangle = 11 cm
Perimeter of square = 4/5 × area of rectangle
Breadth of rectangle = Length of rectangle – 6 cm
Formulae Used:
Area of a rectangle = length × breadth
Perimeter of a square = 4 × length
Solution:
Let the side of the square be x cm
Then the perimeter of the square = 4x cm
As length of the rectangle = 11 cm
So, breadth of the rectangle = 11 – 6 = 5 cm
Also, area of the rectangle = 11 × 5 = 55 cm2
Now, perimeter of the square = (4/5) × 55 = 44 cm
⇒ 4x = 44
⇒ x = 11 cm
∴ Length of the each side of the square is 11 cm
The sum of five numbers is 555. If the average of the last two numbers is 145 and the third number is 115, then what will be the average of the first two numbers?
75
135
185
245
295
Correct answer
75
Why this answer is correct
Given:
The five numbers = 555
The average of the last two numbers = 145
The third number = 115
Formula used:
\({Average\ =\ {The\ sum\ of\ all\ numbers\over The\ total\ numbers}}\)
Calculation:
Let the average of the first two numbers be X
The sum of the last two numbers = 145 × 2 = 290
The sum of the last three numbers = 290 + 115 = 405
The sum of the first two numbers = 555 - 405 = 150
The average of the first two numbers = \({150\over 2}\ =\ 75\)
∴ The required result will be 75.
The line graph shows the total population in five different cities [A, B, C, D and E]
Out of total population in city D, 75% are literate. Find the illiterate people in city D?
1100
1300
2200
1600
2600
Correct answer
1600
Why this answer is correct
Calculation
Total population in D = 6400
Literate = 75% → Illiterate = 25%
Illiterate people = 25% × 6400 = 1600
The line graph shows the total population in five different cities [A, B, C, D and E]
Number of populations in city F is 20% more than the number of populations in city E. Find the number of populations in city F?
6720
6625
6840
6790
6620
Correct answer
6720
Why this answer is correct
Calculation
Population in E = 5600
20% of 5600 = 0.20 × 5600 = 1120
Population in F = 5600 + 1120 = 6720
The line graph shows the total population in five different cities [A, B, C, D and E]
Ratio of total population in city C and D is m:n. finds the value of m + n. [ Ratio is lowest possible integer]
13
14
19
10
11
Correct answer
11
Why this answer is correct
Calculation
C = 2400, D = 6400
Ratio = 2400:6400 = 3:8 = m:n
So, m + n = 3 + 8 = 11
The line graph shows the total population in five different cities [A, B, C, D and E]
Number of populations in city B is increased by 25%. Find the new population in city B?
6800
6300
5875
6240
6500
Correct answer
5875
Why this answer is correct
Calculation
Original population = 4700
Increase = 25% of 4700 = 0.25 × 4700 = 1175
New population = 4700 + 1175 = 5875
The line graph shows the total population in five different cities [A, B, C, D and E]
Ratio of number of male and female in A is 5:3. Number of females in A is [x + 350]. Find the value of x?
850
750
650
550
950
Correct answer
850
Why this answer is correct
Calculation
Let total parts = 5 (male) + 3 (female) = 8 parts
Total population in A = 3200
1 part = 3200 ÷ 8 = 400
Female population = 3 x 400 = 1200
Given:
so, x + 350 = 1200
⇒ x = 1200 – 350 = 850
The income of a company increases 15% per annum. If its income is Rs. 2,40,000, in the year 2015. Then its income in the year 2017 is?
Rs. 3,40,000
Rs. 3,00,000
Rs. 1,50,000
Rs. 3,17,400
None of these
Correct answer
Rs. 3,17,400
Why this answer is correct
Given
Company’s income in 2015 = Rs. 2,40,000
Income increases annually by = 15%
Formula Used
Income after two year = P {1 + R/100}2
Calculation
Income in the year 2017 = 240000 [1 + 15/100]2
⇒ 240000 [115/100]2
⇒ 240000 × (115/100) × (115/100)
⇒ 240000 × (23/20) × (23/20)
⇒ 600 × 23 × 23
⇒ Rs. 317400
∴ Company’s income in the year 2017 will be Rs. 3,17,400 .
Income in 2017 = Income in 2015 × (100 + P%) × (100 + P%)/(100 × 100)
Income in 2017 = 240000 × 115/100 × 115/100 = Rs. 3,17,400
The total age of Aryan and Brijesh is 10 years more than the total age of Brijesh and Chetan. Chetan is how many years younger than Aryan?
12
10
13
15
20
Correct answer
10
Why this answer is correct
Given,
The total age of Aryan and Brijesh is 10 years more than the total age of Brijesh and Chetan.
Calculations:
(Aryan + Brijesh) - (Brijesh + Chetan) = 10
⇒ Aryan - Chetan = 10
∴ The required answer is 10
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.