Simplification problems
- 1. (69842 x 69842 - 30158 x 30158) / (69842 - 30158) =?
Options- A. 100000
- B. 69842
- C. 39684
- D. 30158 Discuss
Correct Answer: 100000
Explanation:
Given expression = [(69842)2 - (30158)2] / [(69842 - 30158)]
= [ (69842 - 30158) (69842 + 30158) ] / (60842 - 30158)
= 100000
- 2. 31/10 x 3/10 + 7/5 ÷ 20 =?
Options- A. 0
- B. 1
- C. 100
- D. 107/200 Discuss
Correct Answer: 1
Explanation:
Given expression = 93/100 + 7/5 x 1/20
= 93/100 + 7/100
= 1
- 3. 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
Correct Answer: 1.1203
Explanation:
Given expression = (108 + 9 + 3 +1) / 108
= 121 / 108
= 1.1203
- 4. (1/5 ÷ 1/5 of 1/5) / (1/5 of 1/5 ÷ 1/5) =?
Options- A. 1
- B. 5
- C. 1/5
- D. 25 Discuss
Correct Answer: 25
Explanation:
Given expression = (1/5 ÷ 1/25 ) / (1/25 ÷ 1/5)
= (1/5 x 25) / (1/25 x 5)
= 5 x 5
= 25
- 5. (1/4 + 1/4 ÷ 5/4) / (1/4 x 1/4 + 2 1/ 4) =?
Options- A. 16/25
- B. 32/185
- C. 36/185
- D. None of these Discuss
Correct Answer: 36/185
Explanation:
Given expression = (1/4 + 1/4 x 4/5) / (1/16 + 9/4)
= (1/4 + 1/5) / (37/16)
= 9/20 x 16/37
= 36/185
- 6. In a college 1/5th of the girls and 1/8th of the boys took part in a social camp. What of the total number of student in the college took part in the camp?
Options- A. 13/40
- B. 13/80
- C. 2/13
- D. Data inadequate Discuss
Correct Answer: 2/13
Explanation:
Out of the 5 girls, 1 took part in the camp. Out of the 8 boys, 1 took part in the camp.
? 2/13 of total number of students took part in the camp.
- 7. (4.59 x 1.8 ÷ 3.6 + 5.4 of 1/9 - 1/5) =?
Options- A. 3.015
- B. 2.705
- C. 2.695
- D. None of these Discuss
Correct Answer: 2.695
Explanation:
Given Exp. = 4.59 x 1.8 / 3.6 + 0.6 - 0.2
= 2.295 + 0.6 - 0.2 = 2.695
- 8. (1/2 ÷ 4 + 20) / (1/2 x 4 + 20) =?
Options- A. 81 / 88
- B. 23/11
- C. 161 / 176
- D. 1 Discuss
Correct Answer: 161 / 176
Explanation:
Given Exp. = (1/2 x 1/4 + 20) / (2 + 20) = (161/8) x (1/22)
= 161 / 176
- 9. [1/(1.2.3)] + [1/(2.3.4)] + [1/(3.4.5)] + [1/(4.5.6)] is equal to
Options- A. 7 / 30
- B. 11 / 30
- C. 13 / 30
- D. 17 / 30 Discuss
Correct Answer: 7 / 30
Explanation:
Given Exp. = [(4 x 5 x 6) + (5 x 6) + (2 x 6) + (2 x 3)] / [(2 x 3 x 4 x 5 x 6)]
= 168 / (24 x 30)
= 7 / 30
- 10. 3 2/ 3 + 2 3/ 4 + 1 1/ 2 =?
Options- A. 811/12
- B. 1012/13
- C. 711/12
- D. 911/13 Discuss
Correct Answer: 711/12
Explanation:
? = 32/3 + 23/4 + 11/2
= 3 + 2 + 1 + (2/3 + 3/4 + 1/2)
= 6 + (8 + 9 + 6)/12 = 6 + (23/12)
= 6 + (111/12)
= 711/12
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