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- Question
If Sin ? = 20/29 , then what is the value of Sec Sin ? ?
Options- A. 29/21
- B. 29/20
- C. 21/20
- D. 21/29
- Correct Answer
- 29/21
- 1. 5358 x 51 =?
Options- A. 273358
- B. 273258
- C. 273348
- D. 273268 Discuss
- 2. From 4 children, 2 women and 4 men, 4 person are selected. The probability that there are exactly 2 children among the selected persons, is
Options- A. 11/21
- B. 9/21
- C. 10/21
- D. 5/21 Discuss
- 3. One years ago a father was four times as old as his son. After 6 years his age exceeds than twice of his son's age by 9 years. Ratio of their present ages is?
Options- A. 13 : 4
- B. 12 : 5
- C. 11 : 3
- D. 9 : 2 Discuss
- 4. The ages of A, B and C together total 185 years. B is twice as old as A, and C is 17 years older than A. Then the respective ages of A, B and C are?
Options- A. 40, 86 and 59 years
- B. 42, 84 and 59 years
- C. 40, 80 and 65 years
- D. None of these Discuss
- 5. In 1 km race, A beats B by 18 m or 9 s. Find the A' s time over the course.
Options- A. 391 s
- B. 591 s
- C. 491 s
- D. 500 s Discuss
- 6. The ratio in the present ages of Ramesh and Jayesh is 3 : 2. four years ago Ramesh's age was more then Jayesh's age by 6 years. What is the present age of Jayesh?
Options- A. 18 years
- B. 12 years
- C. 6 years
- D. Data is inadequate Discuss
- 7. If the integer m and n are chosen at random between 1 and 100, then the probability that a number of the from 7 m + 7 n is divisible by 5 equals?
Options- A. 1/4
- B. 1/7
- C. 1/8
- D. 1/49 Discuss
- 8. Two dice and two coins are tossed. The probability that both the coins show head and the sum of the numbers found on the two dice is a prime number is?
Options- A. 5/72
- B. 1/12
- C. 13/144
- D. 5/48 Discuss
- 9. A mother is 25 years older than her daughter. Five years ago, the age of the mother was 6 time the age of the daughter. What is the present age of mother?
Options- A. 25 years
- B. 29 years
- C. 32 years
- D. 35 years Discuss
- 10. The present ages of Sunil and Anil are 40 and 60 years respectively. How many years ago was the ratio of their ages 3: 5?
Options- A. 5 years
- B. 10 years
- C. 12 years
- D. 15 years Discuss
More questions
Correct Answer: 273258
Explanation:
5358 x 51 = 5358 x (50 +1 )
5358 x 50 + 5358 x 1
=267900 + 5358 = 273258
Correct Answer: 9/21
Explanation:
Total number of cases = 10c4
Favorable number of cases = 4c2. 6c2
{Since, we are to select 2 children out of 4 and remaining 2 persons are to be selected from remaining 6 persons ( 2W + 4M)}
? required Probability = 4c2 . 6c2 / 10c4
= [{(4 x 3) / (2 x 1)} x {(6 x 5) / (2 x 1)}] / [ (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)]
= [(12/2) x (30/2)] / 210
= 90 / 210
= 9 /12
Correct Answer: 11 : 3
Explanation:
Let son's age 1 year ago be x years.
? Father's age 1 year ago = 4x years
? 4x + 7 = 2(x + 7) + 9
? 2x = 23 - 7
? x = 8
Ratio of father's and son's present ages = (4x + 1) : (x + 1) = 33 : 9 = 11 : 3
Correct Answer: 42, 84 and 59 years
Explanation:
Let A's age be x years, B's age be 2x years and C's age = (x + 17) years
According to the question,
? x + 2x + (x + 17) = 185
? 4x = 185 - 17 = 168
? x = 42
? A's age = 42 years
B's age 84 years
C's age = 42 + 17 = 59 years
Correct Answer: 491 s
Explanation:
Clearly, B covers 18 m in 9 s.
? B's time over the course = 9/18 x 1000 = 500 s
? A' s time over the course = (500 - 9) = 491 s
Correct Answer: 12 years
Explanation:
Let the present age of Ramesh be 3x years and the present age of jayesh = 2x years.
According to question, (3x - 4) = (2x - 4) + 6
? 3x - 4 = 2x - 4 + 6
? 3x - 4 = 2x + 2
? 3x - 2x = 2 + 4
? x = 6
? Present age of Jayesh = 2x = 12 years
Correct Answer: 1/8
Explanation:
Number of possible cases = 100 x 100 for 7m + 7n to be divisible by 5,
One of the term has to end with 9 and other with 1 (7m cannot be divided by 9 )
? m can be 2, 6 , 10, 14, ..... 98 (25 values) and n can be 4, 8, 12 ...... 100(25 values)
Since m and n can interchange
? Required probability = (2 x 25 x 25) / (100 x 100) = 1/8
Correct Answer: 5/48
Explanation:
The probability that head is show in one coin is 1/2.
The probability that the sum of the number on the dice is a prime = the probability that the following pair of number on the dice is a getting on the dice, namely (1, 1), (1, 2), (2, 1), (1, 4 ), (4, 1), (2, 3), (3, 2), (1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3), (6, 5), (5, 6) = 15/36.
? The required probability = 1/2 x 1/2 x 15/36 = 5/48.
Correct Answer: 35 years
Explanation:
Let the present ages of mother and her daughter are ( x + 25 ) and x years respectively ; then 6( x - 5 ) = x + 25 - 5 ? 6x - 30 = x + 20 ? 5x = 50 ? x = 10
Hence, the age of the mother = 10 + 25 = 35 years
Correct Answer: 10 years
Explanation:
Let us assume x years ago, the ratio of their ages was 3 : 5, then
According to question,
(40 - x)/(60 - x) = 3/5
? (40 - x) 5 = 3 (60 - x)
? 200 - 5x = 180 - 3x
? 2x = 20
? x = 10 years
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