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- Question
If a - b = 3 and a2 + b2 = 29, find the value of ab.
Options- A. 10
- B. 12
- C. 15
- D. 18
- Correct Answer
- 10
Explanation
2 ab = ( a 2 + b 2 ) - ( a - b ) 2= 29 - 9 = 20
⟹ab = 10.
- 1. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
Options- A. 4 days
- B. 6 days
- C. 8 days
- D. 12 days Discuss
- 2. M owes N ? 3146 payable 1 1/ 2 yr hence. Also, N owes M, ? 2889 payable 6 months hence. If they want to settle the account forthwith, keeping 14% the rate of interest, who should pay and how much?
Options- A. N should pay ? 100
- B. N should pay ? 50
- C. M should pay ? 100
- D. M should pay ? 50 Discuss
- 3. One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal?
Options- A. 1/5
- B. 2/5
- C. 6/7
- D. 3/10 Discuss
- 4. Columbus started his journey from Lucknow to Kolkata, Which is 200 K.M., at the speed of 40 KM/hr, then he went to Banglore which is 300 Km, at the speed of 20 KM/hr . Further he went to Ahmedabad which is 500 Km, at the speed of 10 Km/hr. The average speed of Columbus is :
Options- A. 14 2/7 KM/hr
- B. 14 5/7 KM/hr
- C. 15.6 KM/hr
- D. none of these Discuss
- 5. The price of rice decreased by 6.25% and because of this reduction. Vandana is able to buy 1 kg more for ?120. Find the reduce rate of rice.
Options- A. ? 7.50 per kg
- B. ? 9 per kg
- C. ? 5.50 per kg
- D. ? 19 per kg Discuss
- 6. If the true discount for a sum of ? 50000 for a period of 4 yr at a certain rate of interest per annum is ? 2000, find the rate of interest.
Options- A. 1%
- B. 1.5%
- C. 2%
- D. 5% Discuss
- 7. 12500 shares, of par value $ 20 each, are purchased from Ram by Mohan at a price of $ 25 each. Find out the amount required to purchase the shares. If Mohan further sells the shares at a premium of $ 11 each, then find out his gain in the transaction.
Options- A. $ 75000
- B. $ 85000
- C. $ 70000
- D. $ 65000 Discuss
- 8. The average height of 40 student is 163 cm. On a particular day, three student A, B, C were absent and the average of the remaining 37 student was found to be 162 cm. if A, B have equal height and the height of C be 2 cm less than that of A, find the height of A?
Options- A. 176 cm
- B. 166 cm
- C. 180 cm
- D. 186 cm Discuss
- 9. What should come in place of the question marks(?), so that it satisfies equality of the given equation?
32% of 750 =?
Options- A. 23% of 600
- B. 46% of 207
- C. 98% of 250
- D. 75% of 320 Discuss
- 10. The present worth of a bill due 7 months hence is Rs. 1200 and if the bill were due at the end of 2 1/ 2 years, its present worth would be Rs. 1016. Find the rate percent and the sum of the bill?
Options- A. 10%, Rs. 1270
- B. 8%, Rs. 1720
- C. 16%, Rs. 1570
- D. 18%, Rs. 1560 Discuss
More questions
Correct Answer: 8 days
Explanation:
| (A + B + C)'s 1 day's work = | 1 | ; |
| 6 |
| (A + B)'s 1 day's work = | 1 | ; |
| 8 |
| (B + C)'s 1 day's work = | 1 | . |
| 12 |
| ∴ (A + C)'s 1 day's work |
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So, A and C together will do the work in 8 days.
Correct Answer: N should pay ? 100
Explanation:
N owes PW of ? 3146 due 3/2 yr hence
i.e. {3146 x 100} / {100 + (14 x 3/2)} = (3146 x 100) / (100 + 21)
= 314600 / 121
= ? 2600
N owes PW of ? 2889 due 6 months hence
i.e. {2889 x 100}/{100 + (14 x 1/2)} = (2889 x 100)/(100 + 7)
= (2889 x 100)/107 = ? 2700
? N must pay ? (2700 - 2600) i.e. ? 100 to M.
Correct Answer: 3/10
Explanation:
Let one diagonal be k.
Then, other diagonal = (60k/100) = 3k/5 cm
Area of rhombus =(1/2) x k x (3k/5) = (3/10)
= 3/10 (square of longer diagonal)
Hence, area of rhombus is 3/10 times.
Correct Answer: 14 2/7 KM/hr
Explanation:
Total distance = (200 + 300 + 500) = 1000
Total time = 200/40 + 300/20 + 500/10 = 5 + 15 + 50 = 70 hr
Average speed = Total distance / Total time =1000 / 70 = 14.2857 Km/hr.
Correct Answer: ? 7.50 per kg
Explanation:
Let original rate of rice be ? x per kg
Reduced rate = ? [(100 - 6.25) x (1/100) x W]
= ? 15W/16 per kg
According to the question
120/(15W/16) - 120/W = 1
? (120 x 16)/15W - 120/W = 1
? 120 x 16 - 1800 = 15W
? 128 - 120 = W
? W = ? 8 per kg.
? Reduced rate = ? (15/16) x 8 per kg
=? 7.50 per kg
Correct Answer: 1%
Explanation:
Given that, PW =? 50000,
TD =? 2000, T = 4 yr and R = ?
According to the formula, (1)
TD = (PW x R x T) / 100
? 2000 = (50000 x R x 4) / 100
? R = (2000 x 100) / (50000 x 4) = 20/20 = 1%
Correct Answer: $ 75000
Explanation:
Given :- Face value of each share = $ 20
Market value of a share = $ 25
Number of shares = 12500
? Market value of 12500 shares = Number of shares x Market value of a share
Market value of 12500 shares = $ (25 × 12500) = $ 312500
Thus, the amount required to purchase 12500 shares = $ 312500
Then, Mohan sells these shares at a premium of $ 11 each.
? New market rate per shares = Face value of each share + premium
New market rate per shares = $ (20 + 11) = $ 31
? Selling price of these shares = New market rate per shares x Number of shares
Selling price of these shares = $ (31 × 12500) = $ 387500
? Gain = S.P. - C.P. = $ (387500 - 312500) = $ 75000.
Correct Answer: 176 cm
Explanation:
Let the height of A , B, C be y cm, y cm and (y - 2) cm respectively
Then, y + y + (y - 2) = 163 x 40 - 162 x 37
? 3y - 2 = 526
? y = 176 cm
Correct Answer: 75% of 320
Explanation:
32% of 750 = 750 x (32/100) = 240
From option (a), 23% of 600
= 600 x 23/100 = 138
From option (b), 46 % of 207
= 207 x 46/100 = 95.22
From option (c), 98% of 250
= 250 x 98/100 = 245
From option (d), 75% of 320
= 320 x 75/100 = 240
Hence, from option (d), satisfies equality of the equation.
Correct Answer: 10%, Rs. 1270
Explanation:
? 1200/1016 = (100 + R x 5/2) / (100 + R x 7/12)
? 1200 x (100 + R x 7/12) = 1016 x (100 + R x 5/2)
? 3680 x R = 36800
? R = 10%
? Sum due = 1200 + S.I. on Rs. 1200 for 7 months at 10%. = Rs. 1270
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