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- Question
There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?
Options- A. 42 & 24
- B. 38 & 26
- C. 36 & 24
- D. 44 & 28
- Correct Answer
- 44 & 28
ExplanationLet
x = peacocks
y = deers2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers - 1. How many prime numbers exist in 65×359×113 ?
Options- A. 29
- B. 31
- C. 33
- D. 27 Discuss
- 2. What should be the maximum value of B in the following equation? 8A9 ? 6B2 + 4C6 = 723
Options- A. 4
- B. 1
- C. 5
- D. 7 Discuss
- 3. Which of the following is not a prime number?
Options- A. 5
- B. 11
- C. 21
- D. 37 Discuss
- 4. A sequence of natural number 2,3,5,6,10. Such that no square and no cube occurs in the term. Find the 300th term of sequence ?
Options- A. 322
- B. 319
- C. 321
- D. 320 Discuss
- 5. How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
- 6. In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4:3 respectively. If in upper half, blue : yellow is 2:3, then in the lower half blue : yellow is
Options- A. 1 : 1
- B. 2 : 1
- C. 26 : 9
- D. 9 : 26 Discuss
- 7. What is the measure of an interior angle of a regular decagon?
Options- A. 120°
- B. 140°
- C. 144°
- D. 150° Discuss
- 8. The circumference of a circle is 88 cm, find its area?
Options- A. 616 sq cm
- B. 308 sq cm
- C. 154 sq cm
- D. 77 sq cm Discuss
- 9. If the radius of a circumscribed circle in an equilateral triangle is 14 cm. Then what will be the radius (in cm) of the inscribed circle?
Options- A. 7
- B. 14
- C. 28
- D. 35 Discuss
- 10. What is the measure (in degree) of an exterior angle of a regular polygon of 9 sides?
Options- A. 36
- B. 40
- C. 30
- D. 24 Discuss
Numbers problems
Search Results
Correct Answer: 31
Explanation:
Given
Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.
Correct Answer: 7
Explanation:
1 1
8 A 9
+ 4 C 6
- 6 B 2
7 2 3
We may represent the given sum, as shown below:
1 + A + C - B = 12
A + C - B = 11
Now,giving the maximum values to A and C, i.e.
A = 9 and C = 9, we get B = 7.
Correct Answer: 21
Explanation:
A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Factors of 5 are 1, 5
Factors of 11 are 1, 11
Factors of 21 are 1, 3, 7, 21
Factors of 37 are 1, 37.
Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.
Correct Answer: 320
Explanation:
1 to 300 = 300 numbers
squares btwn 1 to 300 = 1,4,9,16,25,36,49.....289 i.e, total 17
cubes = 1,8,27,64,125,216 i.e, 5
now 1 and 64 are common so total numbers that should be removed ( 17+5-2= 20 )
total 20 term removed so 300th term would be 320
Correct Answer: 6
Explanation:
Sum of the decimal places = 7 .
Since the last digit to the extreme right wil be zero ( 5 * 4 = 20), so there will be 6 significant digits to the right of the decimal point....
Correct Answer: 26 : 9
Correct Answer: 144°
Correct Answer: 616 sq cm
Correct Answer: 7
Correct Answer: 40
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