The ratio of two numbers is 5 ∶ 7 and their HCF is 3. Their LCM is:
- AOption (a)
75
- BOption (b)
105
- COption (c)
125
- DOption (d)
35
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Correct answer
75
Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The ratio of two numbers is 5 ∶ 7 and their HCF is 3. Their LCM is:
75
105
125
35
Correct answer
75
Study the given table and answer the question that follows.
Production of masks (in million) by a company during the first half of 2020
| Type/Month | April | May | June | July | August | September |
|---|---|---|---|---|---|---|
| Surgical | 250 | 250 | 180 | 400 | 200 | 150 |
| N 95 | 250 | 270 | 500 | 450 | 300 | 200 |
| FFP1 | 250 | 270 | 150 | 250 | 300 | 200 |
| Activated Carbon | 250 | 260 | 250 | 330 | 300 | 350 |
| Clothes & sponge | 250 | 260 | 260 | 350 | 320 | 240 |
| Total | 1250 | 1310 | 1340 | 1750 | 1420 | 1140 |
In the case of Activated Carbon Masks, in which pair of months was the production equal?
April, June
April, July
July, September
April, May
Correct answer
April, June
Simplify: (x + y)3 - (x - y)3 - 6y(x2 - y2)
8y3
x3
8x3
y3
Correct answer
8y3
The perimeters of two similar triangles are 36 cm and 24 cm, respectively. Find the ratio of their areas.
6 ∶ 13
2 ∶ 3
9 ∶ 4
35 ∶ 24
Correct answer
6 ∶ 13
The area of the sector of a circle is 128 cm2. If the length of the arc of that sector is 64 cm, then find the radius of the circle.
4 cm
8 cm
2 cm
16 cm
Correct answer
4 cm
The average of a batsman in 16 innings is 36. In the next innings, he scores 70 runs. What will be his new average?
53
35
106
38
Correct answer
53
Solve {1 + 7 + (16 ÷ 8 ÷ 2)} + {(6 × 22 + 6) × \(\frac{2}{{\sqrt {36} }}\)}.
17
21
19
12
Correct answer
17
The HCF of \({3 \over 4}\), \({7 \over 8}\) and \({13 \over 14}\) is:
\({1 \over 36}\)
\({1 \over 56}\)
\({1 \over 70}\)
\({1 \over 60}\)
Correct answer
\({1 \over 36}\)
Study the given table and answer the question(s) that follow(s).
The marks obtained by four students A, B, C and D in Mathematics, Statistics and Computers are given in the following table.
| Students → /Subjects ↓ | A | B | C | D |
|---|---|---|---|---|
| Mathematics | 60 | 50 | 70 | 75 |
| Statistics | 70 | 45 | 60 | 80 |
| Computers | 80 | 55 | 55 | 75 |
Who among the students has ranked first on the basis of the total marks obtained as per the given table?
C
D
B
A
Correct answer
C
The following table gives the number of patients visiting a dental clinic for the issues related to their oral health during the months May, June, July and August in 2015. Study the table carefully and answer the question that follows.
| Month (2015) | Cleaning and polishing of teeth | Fixing crowns and bridging | Orthodontic treatment | Teeth whitening |
|---|---|---|---|---|
| May | 410 | 880 | 680 | 360 |
| June | 160 | 970 | 790 | 270 |
| July | 520 | 680 | 460 | 530 |
| August | 440 | 590 | 1020 | 280 |
For the given months in 2015, the average number of patients visiting the dental clinic for Cleaning and polishing of teeth, Fixing crowns and bridging and Teeth whitening is what percentage (rounded off to 1 decimal place) more/less than the average number of patients visiting the dental clinic for Orthodontic treatment?
More by 31.2 Percent
Less by 31.2 Percent
Less by 38.9 Percent
More by 38.9 Percent
Correct answer
More by 31.2 Percent
The ratio of a father's age to his son's age is 3 ∶ 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:
32 ∶ 24
32 ∶ 21
32 ∶ 22
32 ∶ 23
Correct answer
32 ∶ 24
If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.
30
25
60
4
Correct answer
30
The value of (cosec A + cot A)(1 - cos A) is:
cos A
tan A
cot A
sin A
Correct answer
cos A
Two circles of radii 8 cm and 3 cm, respectively, are 13 cm apart. AB is a direct common tangent touch to both the circles at A and B respectively then the length of AB is
10 cm
12 cm
8 cm
6 cm
Correct answer
10 cm
What is the greatest number of six digits, which when divided by each of 16, 24, 72 and 84, leaves the remainder 15?
999981
999951
999963
999915
Correct answer
999981
If cos θ + sec θ = 2, then the value of sin6 θ + cos6 θ is:
1/3
0
1
1/2
Correct answer
1/3
The following table shows the number of centuries scored by cricketers in the past 5 years.
| cricketers/Years | 2021 | 2020 | 2019 | 2018 | 2017 |
|---|---|---|---|---|---|
| A | 1 | 0 | 2 | 1 | 1 |
| B | 1 | 2 | 0 | 0 | 1 |
| C | 0 | 0 | 1 | 1 | 0 |
| D | 0 | 1 | 1 | 0 | 1 |
| E | 1 | 0 | 1 | 0 | 1 |
The total number of centuries scored by which two players in the mentioned years are the same?
D and E
D and B
A and C
A and E
Correct answer
D and E
If the number 476**0 is divisible by both 3 and 11, then in the hundredth and tenth places, the non-zero digits are, respectively:
2 and 3
3 and 2
5 and 8
8 and 5
Correct answer
2 and 3
Find the least value of (A + B) if the number 27B58A4 is completely divisible by 88.
5
2
4
7
Correct answer
5
The heights of two right circular cones are in the ratio 1 ∶ 5 and the perimeter of their bases are in the ratio 5 ∶ 3. Find the ratio of their volumes.
8 ∶ 11
7 ∶ 6
5 ∶ 9
3 ∶ 4
Correct answer
8 ∶ 11
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.