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- Question
Simplify : 69 X 69 X 69 -65 X 65 X 669 X 69 + 69 X 65 + 65 X 65
Options- A. 1
- B. 4
- C. 0.216
- D. 0.164
- Correct Answer
- 4
Explanation69 ?65 = 4
69?65 = 4 - 1. The ratio of ages of the father and the daughter at present is 3 : 1. Four year ago the ratio was 4 : 1 . The average age of the father and daughter 2 year hence will be
Options- A. 24
- B. 26
- C. 25
- D. 36 Discuss
- 2. From a set of 17 cards numbered 1, 2, 3 ....... 17 one is drawn at random. The probability that the number is divisible by 3 or 7 is?
Options- A. 2/17
- B. 1/7
- C. 7/17
- D. 10/ 17 Discuss
- 3. A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability drawing a number which is a square is?
Options- A. 1/5
- B. 2/5
- C. 1/10
- D. None of these Discuss
- 4. There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed.?
Options- A. 2200
- B. 2300
- C. 2400
- D. 3200 Discuss
- 5. What is the HCF of 8 (N 5 - N 3 + N ) and 28 (N 6 + 1)?
Options- A. 4 (N4 - N2 + 1)
- B. N3 - N + 4N2
- C. N3 - N + 3N2
- D. None of these Discuss
- 6. A sum amounts to ? 1352 in 2 yr at 4% compound interest. The sum is
Options- A. ? 1250
- B. ? 1200
- C. ? 1300
- D. ? 1260 Discuss
- 7. The average of three number is 42. The first is twice the second and the second is twice the third the different between the third largest and the smallest number number is?
Options- A. 18
- B. 36
- C. 54
- D. 72 Discuss
- 8. A train 700 m long is running at the speed of 72 km/hr. If it cross a tunnel in 1 minute, then the length of the tunnel?
Options- A. 700 m
- B. 600 m
- C. 550 m
- D. 500 m Discuss
- 9. A number when divided by 6 is diminished by 40. The number is?
Options- A. 72
- B. 84
- C. 60
- D. 48 Discuss
- 10. In what time will Rs. 390625 amount to Rs. 456976 at 4 per cent compound interest?
Options- A. 2 years
- B. 4 years
- C. 3 years
- D. 5 years Discuss
More questions
Correct Answer: 36
Explanation:
Let the present ages of father be 3x and daughter be x .
so the 4 year ago father's age and daughter's age was
( 3x - 4 ) and ( x - 4 )
? ( 3x - 4 / x -4 ) = 4 / 1
? x = 12 year and 3x = 36 year
Correct Answer: 7/17
Explanation:
Total number of cases is 17.
? Number divisible by 3 are 3, are 3, 6, 9, 12, 15 (These are 5 in number )
Number divisible by 7 are 7, 14. (These are 2 in number )
There are two favourable number of cases
Total no. of favourable number = 5 + 2
Required probability = 7/17.
Correct Answer: 1/10
Explanation:
Total ways = 100
Squares of following no's lie between 1 and 100,
12, 22, 32 , 42, 52 , 62, 72, 82 , 92 , 102
(Which are 10 in numbers.)
So. Required probability = 10/100 = 1/10
Correct Answer: 2300
Explanation:
Required number of ways = 25C3
= (25 x 24 x 23) / (1 x 2 x 3) = 2300
Correct Answer: 4 (N4 - N2 + 1)
Explanation:
Let p(N) = 8 (N5 - N3 + N)
= 4 x 2 x N (N4 - N2 + 1)
and q(N) = 28 (N6 + 1)
= 7 x 4 [( N2)3 + (1)3]
= 4 x 7 (N2 + 1) ( N4 - N2 + 1)
? HCF of p(N) and q (N) = 4 (N4 - N2 + 1)
Correct Answer: ? 1250
Explanation:
Using the formula, A = p ( 1 + R/100 )n
? 1352 = p(1 + 4/100 )2
? 1352 = p(1.04 )2
? p = 1352/(1.04)2 = ? 1250
Correct Answer: 54
Explanation:
Let third number = y
Then, second number = 2y
and first number =4y
? ( y + 2y + 4y) / 3 = 42
? 7y = 42 x 3
? y = 18
so, (largest) - (smallest) = ( 4y - y)
= 3y
=54
Correct Answer: 500 m
Explanation:
length of tunnel + length of train = distances covered by train in 1 min
? length of tunnel + 700 = 72/60 km = 1.2 km = 1200 m
? length of tunnel = 1200 - 700 = 500 m
Correct Answer: 48
Explanation:
Let the required number be N,
Then, N/6 = N - 40
? N + 240 = 6N
? N = 48.
Correct Answer: 4 years
Explanation:
? P(1 + r/100)t = A
? 390625(1 + 4/100)t = 456976
? (1 + 4/100)t = 456976/390625 =(26/25)4
? (26/25)t = (26/25)4
? t = 4
? The required time is 4 years.
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