Discussion
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- Question
In an isosceles ?ABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ?ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ?PDQ is
Options- A. 130°
- B. 90°
- C. 180°
- D. 45°
- Correct Answer
- 90°
- 1. Three number are in the ratio 4 : 5 : 6 and their average is 25. The largest number is?
Options- A. 42
- B. 36
- C. 30
- D. 32 Discuss
- 2. A card is drawn at random from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king?
Options- A. 4/13
- B. 9/13
- C. 2/13
- D. 4/13 Discuss
- 3. If three caps are picked at random, what is the probability that two are red and one is green?
Options- A. 9/22
- B. 6/19
- C. 1/6
- D. 3/22 Discuss
- 4. If three balls are picked at random, what is the probability that atleast one is red?
Options- A. 1/2
- B. 7/12
- C. 11/12
- D. 1/5 Discuss
- 5. 150 m long train running with the speed of 90 km/h to cross a bridge in 26 s .What is the length of the bridge?
Options- A. 500 m
- B. 600 m
- C. 659 m
- D. 550 m Discuss
- 6. If two caps are picked at random, what is the probability that both are blue?
Options- A. 1/6
- B. 1/10
- C. 1/12
- D. None of these Discuss
- 7. If two marbles are picked at random, what is the probability that either both are green or both are yellow?
Options- A. 5/91
- B. 1/35
- C. 1/3
- D. 4/105 Discuss
- 8. 3/5 of 4/7 of 7/9 of 425
Options- A. 121
- B. 118
- C. 113
- D. 110 Discuss
- 9. A horse and a cow were sold for Rs. 12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in?
Options- A. No loss or gain
- B. Loss of Rs . 1000
- C. Gain of Rs.. 1000
- D. Gain of Rs. 2000 Discuss
- 10. A thief running at 8 km/h is chased by a policeman whose speed is 10 km/h. If the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be
Options- A. 2 min
- B. 3 min
- C. 4 min
- D. 6 min Discuss
More questions
Correct Answer: 30
Explanation:
Let the number be 4N, 5N and 6N
Then, 4N + 5N + 6N/3 = 25
or 15N = 75
or N = 5
Then largest number = 6N = 6 x 5 = 30
Correct Answer: 9/13
Explanation:
There are 13 hearts and 3 more kings
? P(heart or a king) = (13 + 3)/52 = 4/13
? P (neither a heart nor a king) = 1 - 4/13 = 9/13
Correct Answer: 3/22
Explanation:
Total number of caps = 12
? n(S) = 12C3 = 220
n(E1) = Out of 4 red caps, number of ways to pick 2 caps = 4C2 = 6
n(E2) = Out of 5 green caps
Number of ways to pick one cap = 5C1 = 5
P(E) = n(E1) x n(E2)/n(S) = (6 x 5)/220 = 3/22
Correct Answer: 11/12
Explanation:
Total Number of outcomes = 10C3 = 120
Number of outcomes not containing red balls = 5C3 = 10
? Probability that at least one is red = 1 - 10/120 = 11/12
Correct Answer: 500 m
Explanation:
Let length of bridge be L m.
We know, Speed = Distance/Time
According to the question,
90 x 5/18 = 150 + L/26
? 25 x 26 = 150 + L
? 650 = 150 + L
? L = 500 m
Correct Answer: None of these
Explanation:
Total number of caps = 2 + 4 + 5 + 1 = 12
Total number of outcomes = n(S) = 12 C2 = 66
Favorable number of outcomes = n(E) = 2C2 = 1
? Required probability = 1/66
Correct Answer: 4/105
Explanation:
Ways of selection of two green marbles = 2C2 = 1
Ways of selection of two yellow marbles = 3C2 = 3
So, probability (both are green) = 1/15C2 ....(I)
Probability (both are yellow) = 3/15C2 ....(Ii)
Then, required probability = 1/15C2 + 3/15C2 = 4/ 15C2
= 4/105
Correct Answer: 113
Explanation:
? = 3/5 of 4/7 of 7/9 of 425
? ? = 3/5 x 4/7 x 7/9 x 425 = 113.33 = 113
Correct Answer: Loss of Rs . 1000
Explanation:
? Loss% = (20/10)2 = (2)2 = 4%
? Total S.P. = Rs. 24000
? Total C.P. = Rs. (100/96) x 24000 = Rs. 25000
? Loss = Rs. 1000
Correct Answer: 3 min
Explanation:
Relative speed of policeman with thief = (10 - 8) = 2 km/h
Now, time taken to cover 100 m with speed of 2 km/h or 2000 m/h
Now, Speed = Distance / Time
? Time = D/S = 100/2000
= 1/20 h or 60/20 min = 3 min
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