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- Question
- In a school 391 boys and 323 girls have been divided into the largest possible equal classes. So that there are equal number of boys and girls in each class. What is the number of classes?
Options- A. 23 girls classes, 19 boys classes
- B. 23 boys classes, 19 girls classes
- C. 17 boys classes, 23 girls classes
- D. 23 boys classes, 17 girls classes
- Correct Answer
- 23 boys classes, 19 girls classes
ExplanationThe largest possible number of persons in a class is given by the H.C.F. of 391 and 323 i,e. 17
? No of classes of boys = 391/17 = 23 and
No. of classes of girls = 323 / 17 = 19. - 1. If the HCF of m and n is 1, then what are the HCF of m + n, m and HCF of m - n, n, respectively (where, m > n)?
Options- A. 2 and 1
- B. 1 and 1
- C. 1 and 2
- D. Cannot be determined Discuss
- 2. The sum of the digits of two-digit number is 14 and the difference between the two digits number is 2. What is the product of the two digits of the two-digit number?
Options- A. 56
- B. 48
- C. 45
- D. None of the above Discuss
- 3. The population of a town increase 4% annually but is decreases by emigration annually to the extent of 1/2%. What will be the increase percent in three years?
Options- A. 9.8
- B. 10
- C. 10.5
- D. 10.8 Discuss
- 4. If 2log 4x = 1 + log 4 (x-1), find the value of x.?
Options- A. 2
- B. 1
- C. 4
- D. 3 Discuss
- 5. A persom invests ? 12000 as fixed deposit at a bank at the rate of 10% per annum simple interest. But due to some pressing needs, he has to withdraw the entire money after 3 yr for which the bank allowed him a lower rate of interest. If he gets ? 3320 less than, what he would have got at the end of 5 yr the rate of interest allowed by bank is
Options- A. 78/9%
- B. 87/9%
- C. 78/9%
- D. 77/9% Discuss
- 6. If log 90 = 1.9542 then log 3 equals to?
Options- A. 0.9771
- B. 0.6514
- C. 0.4771
- D. 0.3181 Discuss
- 7. What is the probability that a leap year selected randomly will have 53 Mondays?
Options- A. 2/7
- B. 5/7
- C. 1/7
- D. Data inadequate Discuss
- 8. Two poles of ht. a and b meters are p meters apart ( b > a). The height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is :
Options- A. a+b ab
- B. p a+b
- C. ab a+b
- D. a+b p Discuss
- 9. Of all the chords of a circle passing through a given point in it, the smallest is that which :
Options- A. Is trisected at the point
- B. Is bisected at the point
- C. Passes through the centre
- D. None of these Discuss
- 10. In a circular lawn, there is a 16 m long path in the form of a chord. If the path is 6 m away from the center of the lawn, then find the radius of the circular lawn.
Options- A. 16 m
- B. 6 m
- C. 10 m
- D. 8 m Discuss
More questions
Correct Answer: 1 and 1
Explanation:
The HCF of m and n is 1, so m and n are prime number.
Let m = 7 and n = 5 ? m + n = 12
HCF of(m + n)and m = HCF of 12 and 7 = 1
Similarly, HCF of (m - n) and n = 1
Correct Answer: 48
Explanation:
Let be the ten's digit be x and unit's digit be y.
So the two digit number = 10x + y ( where x > y )
According to question
x + y = 14 ....(i)
x - y = 2 ....(ii)
Solving Eqs. (i) and (ii), we get
x = 8 and y = 6
? Required product = 8 x 6 = 48
Correct Answer: 10.8
Explanation:
Increase in 3 years over 100 = 100 x {1 + 7/(2 x 100)}3
= (100 x 207/200 x 207/200 x 207/200)
= (200 + 7)3 / 80000
= 88869743 / 80000 = 110.8718
Required increase % = (110.8 - 100)% = 10.8%
Correct Answer: 2
Explanation:
? 2log4x = 1 + log4(x-1)
? log4x2 = log44 + log4(x-1)
? x2 = 4(x-1)
? x2 - 4x + 4 = 0
? (x-2)2 = 0
? x = 2
Correct Answer: 77/9%
Explanation:
Let the rate of interest allowed by bank be r%
According to the question,
[(12000 x 5 x 10)/100] - [(12000 x 3 x r)/100] = 3320
? 6000 - 360r = 3320
? 360r = 6000 - 3320 = 2680
? r = 2680/360 = 74/9%
Correct Answer: 0.4771
Explanation:
Given log90 = 1.9542
? log(32 x 10) = 1.9542
? 2log 3 + log 10 = 1.9542
? log 3 = 0.9542 / 2 = 0.4771
Correct Answer: 2/7
Explanation:
A leap year has 366 days = 52 weeks + 2 days. These 2 days can be (Sunday, Monday, Wednesday) .... or (Saturday, Sunday). Out of these total 7 out comes there are 2 cases favourable to the desired event i, e. (Sunday, Monday) and (Monday, Tuesday)
? Required probability = 2/7
Correct Answer: ab a+b
Explanation:
Correct Answer: None of these
Explanation:
Let C(O, r) is a circle and let M is a point within it where O is the centre and r is the radius of the circle.
Let CD is another chord passes through point M.
We have to prove that AB < CD.
Now join OM and draw OL perpendicular to CD.
In right angle triangle OLM,
OM is the hypotenuse.
So OM > OL
? chord CD is nearer to O in comparison to AB.
? CD > AB
? AB < CD
So all chords of a circle of a circle at a given point within it, the smallest is one which is bisected at that point.
Hence required answer will be option D .
Correct Answer: 10 m
Explanation:
From given figure , we can see that
Let AB = 16 m , OM = 6 m , AM = BM = 8 m and OA = r
In triangle AMO ,
By pythagoras theorem ,
OA2 = AM2 + OM2
OA2 = 82 + 62 = 64 + 36
OA2 = 100 ? OA = ? 100 = 10
? OA = r = 10 m
The radius of the circular lawn = 10 m
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