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- Question
What is the area (in sq cm) of a rectangle if its diagonal is 25 cm and one of its sides is 24 cm?
Options- A. 186
- B. 144
- C. 132
- D. 168
- Correct Answer
- 168
- 1. Which of the following is in descending order?
Options- A. 3/5, 5/7, 7/9
- B. 7/9, 5/7, 3/5
- C. 5/7, 7/9, 3/5
- D. 7/9, 3/5, 5/7 Discuss
- 2. The number of prime factors in 2 222 x 3 333 x 5 555 is?
Options- A. 3
- B. 1107
- C. 1110
- D. 1272 Discuss
- 3. The H.C.F and L.C.M of two number are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is?
Options- A. 33
- B. 66
- C. 132
- D. 264 Discuss
- 4. The HCF of three numbers is 23. If they are in the ratio of 1 : 2 : 3, then find the numbers?
Options- A. 69, 15, 22
- B. 23, 46, 69
- C. 25, 31, 41
- D. 23, 21, 35 Discuss
- 5. Find the number lying between 900 and 1000 which when divided by 38 and 57, leaves in each case a remainder 23?
Options- A. 935
- B. 945
- C. 925
- D. 955 Discuss
- 6. Find the sum of three numbers which are prime to one another such that the product of the first two is 437 and that of the last two is 551?
Options- A. 91
- B. 81
- C. 71
- D. 70 Discuss
- 7. What least number must be subtracted from 1936, so that the remainder when divided by 9, 10, 15 will leave in each case the same remainder 7?
Options- A. 46
- B. 53
- C. 39
- D. 44 Discuss
- 8. An inspector of schools wishes to distribute 84 balls and 180 bats equally among a number of boys. Find the greatest number receiving the gift in this ways?
Options- A. 14
- B. 15
- C. 16
- D. 12 Discuss
- 9. The product of two-digit numbers is 2160 and their G.C.M is 12. The numbers are?
Options- A. 72, 30
- B. 36, 60
- C. 96, 25
- D. None of these Discuss
- 10. The H.C.F of two number is 16 and their L.CM is 160. If one of the numbers is 32, then the other number is?
Options- A. 48
- B. 80
- C. 96
- D. 112 Discuss
More questions
Correct Answer: 7/9, 5/7, 3/5
Explanation:
7/9, 5/7, 3/5
Correct Answer: 1110
Explanation:
The number of prime factors in the given product
= (222 + 333 + 555)
= 1110.
Correct Answer: 132
Explanation:
First number = 2 x 44 = 88
Second number = (LCM x HCF ) / First number
? Second number = 44 x 264 / 88 = 132.
Correct Answer: 23, 46, 69
Explanation:
Let the numbers are N, 2N and 3N.
Where, N = HCF
Given that, N = 23
? The numbers are 23, 46 and 69.
Correct Answer: 935
Explanation:
The least common multiple of 38 and 57 is 114 and the multiple which is between 900 and 1000 is 912.
Now, 912 + 23 i,e 935 lies between 900 and 1000 and when divided by 38 and 57 leaves in each case 23 as the remainder.
Therefore, 935 is number required.
Correct Answer: 71
Explanation:
From the question we see that the second number is a common factor of the two products and since the numbers are prime to one another. It is their . H. C. F . and is, therefore, 19.
? The first number = 437 / 19 = 23
and the third number = 551 / 19 = 29
Hence, the number are 23, 19 and 29
? Sum = 23 + 19 + 29
= 71.
Correct Answer: 39
Explanation:
The L.C.M of 9, 10, 15 = 90
On dividing 1936 by 90, the remainder = 46
But a part of this remainder = 7
Hence, the two numbers = 46 - 7 = 39.
Correct Answer: 12
Explanation:
Find the H.C.F. of 84 and 180, which is 12 and this is the required answer .
Correct Answer: 36, 60
Explanation:
Let the number be 12a and 12b
Then 12a x 12b = 2160
or ab = 15
? Values of co-primes a and b are (1, 15), (3, 5)
So, the two digit number are 12 x 3 and 12 x 5 i.e. 36 and 60 .
Correct Answer: 80
Explanation:
Product of two numbers = LCM of two numbers x HCF of two numbers.
? N x 32 = 160 x 16
? N = 80
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