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- Question
The largest 4 digit number exactly divisible by 88 is
Options- A. 8888
- B. 9999
- C. 9944
- D. 9988
- Correct Answer
- 9944
ExplanationTo find the largest 4 digit number exactly divisible by 88,
We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.
The largest possible 4 digit number is 9999
Now,
88) 9999 (113
88
_______
119
88
_______
319
264
_______
55
_______Therefore, the largest 4 digit number exactly divisible by 88 is given by
9999 - 55 = 9944.
- 1. The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:
Options- A. 1.2 km
- B. 1.8 km
- C. 2.4 km
- D. 3.6 km Discuss
- 2. 3 glasses of capacity 2 liters, 5 liters and 9 liters contain mixture of milk and water with milk concentrations 90 %, 80 % and 70 % respectively. The contents of 3 glasses are emptied into a large vessel. Find the milk concentration and ratio of milk to water in the resultant mixture ?
Options- A. 121 : 39
- B. 131 : 49
- C. 39 : 121
- D. 49 : 131 Discuss
- 3. The ratio of the ages of a father to that of their ages (in years) is 1000, then find the father's age after 10 yr.
Options- A. 50 yr
- B. 60 yr
- C. 80 yr
- D. 100 yr Discuss
- 4. If x = a ? b, y = b ? c, z = c ? a, then the numerical value of the algebraic expression x3 + y + z ? 3xyz will be
Options- A. a + b + c
- B. 0
- C. 4 (a + b + c)
- D. 3 abc Discuss
- 5. Two pipes A and B can fill a cistern in 37½ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Options- A. 5 min.
- B. 9 min.
- C. 10 min.
- D. 15 min. Discuss
- 6. The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.8 kg. the weight of the new student is?
Options- A. 10.6 kg
- B. 10.8 kg
- C. 11 kg
- D. 14.9 kg Discuss
- 7. A certain amount was divided between Kavita and Reena in the ratio 4 : 3. If Reena's share was Rs. 2400. The amount is?
Options- A. Rs. 5600
- B. Rs, 3200
- C. Rs. 9600
- D. None of these Discuss
- 8. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
Options- A. 47619
- B. 47719
- C. 48619
- D. 47649 Discuss
- 9. Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm.?
Options- A. 12
- B. 13
- C. 15
- D. 17 Discuss
- 10. 2 men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a men gets ? 90 per day, what should be the wages per day of a women?
Options- A. ? 48
- B. ? 60
- C. ? 72
- D. ? 135 Discuss
More questions
Correct Answer: 3.6 km
Explanation:
| Distance travelled = | ❨ | 18 x | 12 | ❩km = 3.6 km. |
| 60 |
Correct Answer: 121 : 39
Explanation:
Correct Answer: 60 yr
Explanation:
Let the age of father = 5k
and the age of son = 2k
According to the question,
5k x 2k = 1000
? 10k2 = 1000
? k2 = 100
? k = ?100 = 10
? Father's age after 10 yr = (5k + 10)
= 5 x 10 + 10
= 60 yr
Correct Answer: 0
Explanation:
Here , x = a ? b, y = b ? c, z = c ? a
We have x + y + z = a ? b + b ? c + c ? a = 0
? x3 + y + z ? 3xyz = 0
Hence , the numerical value of algebraic expression is 0 .
Correct Answer: 9 min.
Explanation:
Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1.
| ∴ x | ❨ | 2 | + | 1 | ❩ | + (30 - x). | 2 | = 1 |
| 75 | 45 | 75 |
| ⟹ | 11x | + | (60 -2x) | = 1 |
| 225 | 75 |
⟹ 11x + 180 - 6x = 225.
⟹ x = 9.
Correct Answer: 11 kg
Explanation:
Weight of new student = Total weight of all 20 students - Total weight of initial 19 students
= (20 x 14.8 - 19 x 15) kg
= 11 kg.
Correct Answer: Rs. 5600
Explanation:
Let their shares be Rs. 4x and Rs. 3x.
Then 3x = 2400
? x = 800
? Total amount = 7x = Rs. 5600
Correct Answer: 47619
Explanation:
By hit and trial, we find that
47619 x 7 = 333333.
Correct Answer: 13
Explanation:
Volume of rectangular box = 10 x 8 x 6 = 480 cm3
Volume of cubes = 6240 cm3
? Required boxes = Volume of cubes / Volume of rectangular box
= 6240/480 = 13
Hence, 13 boxes are needed.
Correct Answer: ? 60
Explanation:
Let man be represented by m and woman be represented by w.
? 2m + 1w = 1/14
? 14 x (2m + 1w ) = 1 ...(i)
and 4w + 2m = 1/8
8 x (4w + 2m) = 1 ...(ii)
On equating Eqs. (i) and (ii), we get
14 (2m + 1w) = 8 (4w + 2m)
? 28m + 14w = 32w + 16m
? 28m - 16m = 32w - 14w
? 12m = 18w
? m/w = 18/12 = 3/2
So, efficiency of 1 man and 1 woman is 3 : 2.
So, their wages must be in the same ratio
90/x = 3/2
[here, x = wages of a woman ]
? x = 90 x 2 / 3 = ? 60
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