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- Question
- The sum of length, breadth and depth of a cuboid is 19 cm and its diagonal is 5? 5 cm. Its surface area would be?
Options- A. 361 m2
- B. 125 m2
- C. 246 m2
- D. 486 m2
- Correct Answer
- 246 m2
ExplanationL + B + H = 19 cm, where L is the length, B is the breadth and
H is the height of the cuboid.
? (?L2 + B2 + H2
= (5?5)
On squaring both sides, we get
L2 + B2 + H2 + = 125
(L + B + H)2 = L2 + B2 + H2 + 2LB + 2LH + 2BH
? (19)2 = 125 + 2(LB + LH + BH)
? Surface area = 2(LB + LH + BH)
= 192 = 125 + 2(LB + LH + BH)
= 192 - 125 = 361 - 125 = 192 - 125
= 361 - 125 = 236 cm2 - 1. In the given figure, what is the length of AD in terms of b and c :
Options- A. bc b2+c2
- B. b2+c2 bc
- C. ? b2+c2 bc
- D. bc ? b2+c2 Discuss
- 2. Find the compound interest for a sum of ? 9375 in 2 yr, if the rate of interest for the first year is 2% and for the second year is 4%.
Options- A. ? 570
- B. ? 670
- C. ? 770
- D. ? 760 Discuss
- 3. By selling 100 bananas, fruit seller gains the selling price of 20 bananas. His gain per cent is?
Options- A. 10%
- B. 15%
- C. 20%
- D. 25% Discuss
- 4. What is the average of first 79 natural numbers?
Options- A. 79
- B. 39
- C. 40
- D. 39.5 Discuss
- 5.
The fraction 101 27 in decimal for is: 100000
Options- A. .01027
- B. .10127
- C. 101.00027
- D. 101.000027 Discuss
- 6. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
Options- A. 28
- B. 32
- C. 40
- D. 64 Discuss
- 7.
(0.1667)(0.8333)(0.3333) is approximately equal to: (0.2222)(0.6667)(0.1250)
Options- A. 2
- B. 2.40
- C. 2.43
- D. 2.50 Discuss
- 8. Divide 50 into two parts so that the sum of their reciprocals is 1/2.
Options- A. 28,22
- B. 35,15
- C. 20,30
- D. 24,36 Discuss
- 9. A car covers four successive three km stretches at speed of 10 km/hr, 20 km/hr, 30 km/hr and 60 km/hr. respectively. Its average speed over this distance is?
Options- A. 10 km/hr.
- B. 20 km/hr .
- C. 30 km/hr.
- D. 25 km/hr . Discuss
- 10. (3. 57 - 2. 14) =?
Options- A. 1.43
- B. 1.4301
- C. 1.43
- D. 1.43 Discuss
More questions
Correct Answer: bc ? b2+c2
Explanation:
Correct Answer: ? 570
Explanation:
Given, P = ? 9375, R1 = 2% and R2 = 4%
According to the formula,
A = P (1 + R1/100) (1 + R2/100)
= 9375 (1 + 2/100) (1 + 4/100)
= 9375 x (51/50) x (26/25)
= 7.5 x 51 x 26
= ? 9945
Now CI = A - P = 9945 - 9375 = ? 570
Correct Answer: 25%
Explanation:
? Gain = (S.P. of 100 bananas) - (C.P. of 100 bananas)
? (S.P.of 20) = (S.P of 100) - (C.P. of 100)
? S.P.of 80 = C.P. of 100
Let C.P. of each banana = Re. 1
C.P. of 80 banana = Rs. 80
S.P. of 80 banana = Rs. 100
? Gain % = (20 / 80) x 100 % = 25%
Correct Answer: 40
Explanation:
Average of first n natural numbers = ( n + 1 ) / 2
= ( 79 + 1 ) / 2
= 40
Correct Answer: 101.00027
Explanation:
| 101 | 27 | = 101 + | 27 | = 101 + .00027 = 101.00027 |
| 100000 | 100000 |
Correct Answer: 40
Explanation:
Let the numbers be 2 x and 3 x
Then, their L.C.M. = 6x.
So, 6x = 48 or x = 8.
∴ The numbers are 16 and 24.
Hence, required sum = (16 + 24) = 40.
Correct Answer: 2.50
Explanation:
| Given expression |
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Correct Answer: 20,30
Explanation:
Let us assume the first part is A then second part will be 50 - A.
According to question,
Sum of their reciprocals is 1/2.
1/A + 1/(50 - A) = 1/12
? (50 - A + A)/(50 - A)A = 1/12
? (50)/(50 - A)A = 1/12
? (50) x 12 = 1 x (50 - A)A
? 600 = (50 - A)A
? 600 = 50A - A2
? A2 - 50A + 600 = 0
? A2 - 30A - 20A + 600 = 0
? A(A - 30) - 20(A - 30) = 0
? (A - 30)(A - 20) = 0
? (A - 30) = 0 or (A - 20) = 0
? A = 20 , 30
Correct Answer: 20 km/hr .
Explanation:
Total time taken = (3/10 + 3/20 + 3/30 + 3/60) hrs.
= 3/5 hrs.
? Average speed = {12 / (3 / 5)} km/hr.
= (12 x 5 ) / 3 km/hr.
= 20 km/hr.
Correct Answer: 1.43
Explanation:
Given Exp. = 3.57 - 2.14
= 3 + (57 / 99) - 2 - (14 / 99)
= 1 + (57 / 99) - (14 /99)
= 1 + 43/99
= 1.43
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