Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
PQ and MT are two-digit numbers that satisfy PQ + MT = 132. The following conditions are given:
P, Q, M, and T are distinct non-zero single digits.
Q < P and Q < T.
The ratio P : M = 1 : 2
P:M = 1:2.
Based on this information, determine the sum of the digits of the number PQ.
5
6
7
8
9
Correct answer
5
The pie chart shows the percentage of total number of teachers [ Physics + Chemistry] in four different university [A, B, C, and D].
The table shows the number of physics teacher in each university.
Total number teacher [ Physics + Chemistry] in all university together is 250. Average number of physics teacher in all university together is 37.
| University | Number of physics teacher |
|---|---|
| A | 60% of total number of teachers |
| B | Six less than 3 times of chemistry teacher of same university |
| C | X |
| D | 33 more than average chemistry teacher of A and B together |
Number of physics in E is 150% more than number total number of teachers [ Physics + chemistry] in C and D together. Total number of chemistries in E is sum of physics teacher in C and D together. Find the total number of teachers in E?
524
324
624
452
488
Correct answer
524
The pie chart shows the percentage of total number of teachers [ Physics + Chemistry] in four different university [A, B, C, and D].
The table shows the number of physics teacher in each university.
Total number teacher [ Physics + Chemistry] in all university together is 250. Average number of physics teacher in all university together is 37.
| University | Number of physics teacher |
|---|---|
| A | 60% of total number of teachers |
| B | Six less than 3 times of chemistry teacher of same university |
| C | X |
| D | 33 more than average chemistry teacher of A and B together |
Out of total physics teacher in B 50% is male teacher. Out of total female teacher in university B, 75% are form physics department. Find the number male chemistry teacher in B?
3
8
6
5
7
Correct answer
3
The pie chart shows the percentage of total number of teachers [ Physics + Chemistry] in four different university [A, B, C, and D].
The table shows the number of physics teacher in each university.
Total number teacher [ Physics + Chemistry] in all university together is 250. Average number of physics teacher in all university together is 37.
| University | Number of physics teacher |
|---|---|
| A | 60% of total number of teachers |
| B | Six less than 3 times of chemistry teacher of same university |
| C | X |
| D | 33 more than average chemistry teacher of A and B together |
Find the average of Chemistry lecturers in colleges A, B and C.
74
32
30
24
26
Correct answer
74
The pie chart shows the percentage of total number of teachers [ Physics + Chemistry] in four different university [A, B, C, and D].
The table shows the number of physics teacher in each university.
Total number teacher [ Physics + Chemistry] in all university together is 250. Average number of physics teacher in all university together is 37.
| University | Number of physics teacher |
|---|---|
| A | 60% of total number of teachers |
| B | Six less than 3 times of chemistry teacher of same university |
| C | X |
| D | 33 more than average chemistry teacher of A and B together |
Find the ratio of number of chemistry lecturers of B and C together to total number of lecturers of college A.
2:3
4:5
37:20
7:2
5:4
Correct answer
2:3
Calculate value of A and B, Answer the following Question?
Series 3, 4, 9, 28, 113, A, B
Find B is approximately what percentage of A?
824%
600%
500%
240%
320%
Correct answer
824%
Calculate value of A and B, Answer the following Question?
Series 3, 4, 9, 28, 113, A, B
Find the value of B.
3368
3247
3397
3577
3567
Correct answer
3368
A number series is given as:
8, 12, 39, 55, 180, 216, ………
Find the 8th term of the given series.
559
480
623
640
524
Correct answer
559
An equation is given as:
(2x³ – 11x² + px) / x = 0
One of the roots of the given equation is 3.
A new equation is given:
2x² – 9x + 10 = 0
Find the difference between the larger root of this equation and the value of p.
13.5
12.5
4.5
5.6
10.5
Correct answer
13.5
An equation is given as:
(2x³ – 11x² + px) / x = 0
One of the roots of the given equation is 3.
Find the difference between the roots of the given equation?
2/3
4.5
10.5
1/2
2.5
Correct answer
2/3
A person invested Rs. X in scheme A at 20% simple interest for 3 years and invested Rs. X in scheme B at Y% simple interest for 2 years. The total interest received from scheme A and B is 2(1/5) times the interest received from scheme B. Find the value of Y.
30%
225
25%
15%
35%
Correct answer
30%
P, Q, R, and S are four distinct non-prime numbers. You need to determine their total sum.
Statements:
I. The ratio of R : P : S is 2 : 5 : 6.
II. The difference between Q and R is 9.
III. The sum of P, Q, and R is 81.
Only Statements I and II together are sufficient to answer the question.
Only Statements I and III together are sufficient to answer the question.
Only Statements II and III together are sufficient to answer the question
All three statements I, II, and III are required to answer the question.
Even all three statements together are not sufficient to answer the question.
Correct answer
Only Statements I and II together are sufficient to answer the question.
Train A travels at Y km/hr and takes 1 hour longer than Train B to cross a platform K that is 400 m long. Both trains have the same length, but Train A runs 10 km/hr slower than Train B.
If the length of Train A and the length of the platform are each multiplied by 10, what will be the new time taken by Train A to cross this enlarged platform?
3(y-10) hours
3(y+10) hours
(y-10) hours
(y+10) hours
Cannot be determined
Correct answer
3(y-10) hours
A person spends X% of his monthly salary on rent. From the remaining amount, he allocates 30% towards EMI. The leftover sum is then divided between FDI and savings in the ratio 3 : 4. If the money spent on EMI is equal to the amount invested in FDI, determine the value of X.
15
20
25
30
Cannot be determined
Correct answer
15
What approximate value should come in the place of question mark (?) in the following question?
7775.002 - 599.991 + 94.625 - 1203.926 + (?) = 7001.00 - 25.789 + (63.99)1/2
890
910
917
950
900
Correct answer
890
What approximate value should come in the place of question mark (?) in the following question?
? = √(225.22) × (24.96% of 500) + (39.8% of 6000) ÷ (39.6% of 900)
1882
1890
1870
1858
1899
Correct answer
1882
What approximate value should come in the place of question mark (?) in the following question?
91.09 ÷ 13.045 + 989.85 ÷ 11.009 + 75.023 ÷ 5 – 1380.978 ÷ 19.001 = (?)2
12
6
8
11
4
Correct answer
12
What approximate value should come in the place of question mark (?) in the following question?
98.88 % of 1200 + 7.05 % of 2100 + (24.11)2 = 81.20 % of 1700 + (?)2
33
38
20
23
25
Correct answer
33
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.