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- Question
In how many ways can 4 sit at a round table for a group discussions?
Options- A. 9
- B. 3
- C. 6
- D. 12
- Correct Answer
- 6
ExplanationWe get this using the formula of circular permutations i.e., (4 - 1)! = 3! =6
- 1. In a class of 30 students , the average weight of boys is 20 kg and the average weight of the girls is 25 kg . The fraction of boys out of the total students of the class is
Options- A. 4/5
- B. 5/6
- C. 3/4
- D. Data insufficient Discuss
- 2. The least number which when divided by 12,16 and 18 leaves 5 as remainder in each case. Find the number.
Options- A. 139
- B. 144
- C. 149
- D. 154 Discuss
- 3. P, Q and R start a business jointly. Twice the capital of P is equal to thrice the capital of Q and the capital of Q is four times the capital of R. Find the share of Q in an annual profit of ? 148500.
Options- A. ? 54000
- B. ? 64000
- C. ? 56000
- D. ? 55000 Discuss
- 4. The LCM of two numbers is 48. The numbers are in the ratio of 2 : 3. Find the sum of the numbers.
Options- A. 28
- B. 32
- C. 40
- D. 64 Discuss
- 5. A, B and C enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is?
Options- A. Rs. 2100
- B. Rs. 2400
- C. Rs. 3600
- D. Rs. 4000 Discuss
- 6. If a number is exactly divisible by 11 and 13, which of the following types the number must be?
Options- A. Divisible by (11 + 13)
- B. Divisible by (13 - 11)
- C. Divisible by (11 x 13)
- D. Divisible by (13 ÷ 11) Discuss
- 7. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Options- A. 24
- B. 23
- C. 34
- D. 39 Discuss
- 8. The ratio of two numbers is 5 : 6 and their LCM is 480, then their HCF is
Options- A. 20
- B. 16
- C. 6
- D. 5 Discuss
- 9. A and B can together do a piece of work in 15 days. B alone can do it 20 days. In how many days can A alone do it?
Options- A. 30 days
- B. 40 days
- C. 45 days
- D. 60 days Discuss
- 10. The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 72, then 1/m + 1/n is equal to
Options- A. 1/35
- B. 3/35
- C. 5/37
- D. 2/35 Discuss
More questions
Correct Answer: Data insufficient
Explanation:
Let us assume the number of boys = B and number of girls = G.
According to question,
B + G = 30
Lets us assume total weight of boys = W1 and total weight of girls = W2
average weight of boys = total weight of boys/number of boys
total weight of boys/number of boys = 20
W1/B = 20
W1 = 20B
average weight of girls = total weight of girls/number of girls
25 = W2/G
W2 = 25G
Data is not sufficient to solve the equation.
since we do not know either the average weight of the whole class or the ratio of no. of boys to girls.
Correct Answer: 149
Explanation:
Given, a = 12, b =16 , c =18, k = 5
According to the formula,
Required number =(LCM of a, b and c) + k
= (LCM Of 12, 16, 18) + 5
LCM of 12, 16, 18 is
? LCM = 2 x 2 x 3 x 4 x 3 = 144
? Required number =144 + 5 = 149
Correct Answer: ? 54000
Explanation:
Let R's capital = 1
Then, Q's capital = 4
2 (P's capital) = 3 (Q's capital) = 3 x 4 = 12
? P's capital = 12/2 = 6
? P's share : Q's share : R's share = 6 : 4 : 1
Thus, Q's share profit = { 4/(6 + 4 + 1)} x 148500
= (4/11) x 148500
= 4 x 13500
= ? 54000
Correct Answer: 40
Explanation:
Let numbers are 2N and 3N.
According to the question, 6N = 48
? N = 8 ( ? LCM = 6N )
? Required sum = ( 2N + 3N ) = 5N
= 5 x 8 = 40
Correct Answer: Rs. 4000
Explanation:
Given Ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let them initially invest Rs. 105, Rs. 40 and Rs. 36 respectively.
Ratio investment = [105 x 4 + (150% of 105) x 8] : (40 x 12) : (36 x 12)
=1680 : 480 : 432 = 35 : 10 : 9
? B's share = Rs. 21600 x (10/54) = Rs. 4000
Correct Answer: Divisible by (11 x 13)
Explanation:
LCM of 11 and 13 will be (11 x 13). Hence, if a number is exactly divisible by 11 x 13, then the same number must be exactly divisible by their LCM or by (11 x 13).
Correct Answer: 24
Explanation:
Correct Answer: 16
Explanation:
Let numbers are 5N and 6N.
Now, HCF of these two numbers is N.
We know that,
LCM x HCF = Product of two numbers
? 480 x N = 5N x 6N
? 480N = 30N2
? N =16
Correct Answer: 60 days
Explanation:
A's 1 day's work = (1/15 - 1/20) = 1/60
? A alone can finish it in 60 days.
Correct Answer: 2/35
Explanation:
We have, m x n = 6 x 210 = 1260
? 1/m + 1/n = (m + n)/mn = 72/1260 = 4/70 = 2/35
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