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- Question
- A number consists of two digits. The sum of the digit is 10. On reversing the digits of the number, the number decreases by 36. What is the product of the two digits?
Options- A. 21
- B. 24
- C. 36
- D. 42
- Correct Answer
- 21
ExplanationLet the unit digits of the number be N and 10s digit be M
? Number = 10M + N
According to the question
MN = 10 .......(i)
And 10N + M = (10M + N) - 36
? 10N + M - 10M - N = -36
? 9N - 9M = - 36
? N - M = -4 .......(2)
On Adding eq. (i) and (ii) we get
N + M = 10
N - M = - 4
2N = 6
? N = 3 and M = 7
? Required product of two digits = 3 x 7 = 21 - 1. The value of 1 + 1/(4 x 3) + 1/(4 x 3 2) +1/(4 x 3 3) up to four places of decimals is?
Options- A. 1.1202
- B. 1.1203
- C. 1.1204
- D. None of these Discuss
- 2. What least number must be added to 1056 get a number exactly divisible by 23?
Options- A. 21
- B. 25
- C. 3
- D. 2 Discuss
- 3. 15 7/ 8 x 23 1/ 5 + 3 4/ 5 x 5 1/ 8 =?
Options- A. 360
- B. 350
- C. 370
- D. 385 Discuss
- 4. If one cap is picked at random, what is the probability that it is either blue or yellow?
Options- A. 2/9
- B. 1/4
- C. 3/8
- D. 6/11 Discuss
- 5. 0.04 x 0.0162 is equal to:
Options- A. 6.48 x 10-3
- B. 6.48 x 10-4
- C. 6.48 x 10-5
- D. 6.48 x 10-6 Discuss
- 6. If a x = b, b y = c, c z = a, then the value of xyz is?
Options- A. 0
- B. 1
- C. 2
- D. 4 Discuss
- 7. The letters B, G, I, N, R are rearranged to form the word 'BRING'. Find its probability?
Options- A. 1/120
- B. 1/54
- C. 1/24
- D. 5/5 x 42 Discuss
- 8. Find the HCF of 1/2, 3/4, and 4/5?
Options- A. 1/20
- B. 1/40
- C. 20
- D. 15 Discuss
- 9. A person covers a distance of 100 kms in 10 hours, partly by walking at 7 km/hr and rest by running at 12 km/hr. Find the distance covered in each part.
Options- A. 48 kms
- B. 72 kms
- C. 108 kms
- D. 124 kms Discuss
- 10. If log 10 x = 7, then value of x is?
Options- A. 1010
- B. 107
- C. 710
- D. None of these Discuss
More questions
Correct Answer: 1.1203
Explanation:
Given expression = (108 + 9 + 3 +1) / 108
= 121 / 108
= 1.1203
Correct Answer: 2
Explanation:
On dividing 1056 by 23, we get 21 as remainder
? Required number to be added = (23 - 21 ) = 2.
Correct Answer: 385
Explanation:
? = 127/8 x 116/5 + 19/5 x 41/8
= 14732/40 + 779/40 = 15511/40 = 387.7 ? 385
Correct Answer: 1/4
Explanation:
Total number of caps = 12
n(s) = 12c1 = 12
Out of ( 2 blue + 1 yellow) caps, number of ways to pick one cap n(E) = 3c1 = 3
? Required probability = p(E) = n (E) / n(s) = 3/12 = 1/4
Correct Answer: 6.48 x 10-4
Explanation:
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10 -4
Correct Answer: 1
Explanation:
? ax = b
? loga b = x
? by = c
? logb c = y
? cz = a
? logc a = z
? xyz = logab x logbc x logca = 1
Correct Answer: 1/120
Explanation:
The five letters could be arrange in 5! ways.
One of them is 'BRING'.
? Required probability = 1/5!
= 1/(5 x 4 x 3 x 2 x 1)
= 1/120
Correct Answer: 1/20
Explanation:
Required HCF = (HCF of numerators) / (LCM of denominators)
= (HCF of 1, 3 and 4) / (LCM of 2, 4, and 5)
= 1/20
Correct Answer: 72 kms
Explanation:
Average speed = (100 / 10) = 10 km/hr.
Ratio of time taken at 7 km/hr to 12 km/hr = 2 : 3
Time taken at 7 km/hr = 2 (2 + 3) × 10 = 4 hrs.
Distance covered at 7 km/hr = 7 × 4 = 28 km.
Distance covered at 12 km/hr = 100 ? 28 = 72 km.
Correct Answer: 107
Explanation:
log10x = 7
? x = 107
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