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- Question
- A number of two digits has 3 for its unit's place,and the sum of digits is 1/7 of the number itself, The number is
Options- A. 43
- B. 53
- C. 63
- D. 73
- Correct Answer
- 63
ExplanationLet us assume the ten's place digit be x.
Then, the number = 10x + 3
and sum of digits = x + 3
According to question,
So, ( x + 3 ) = 1/7( 10x + 3 )
?7x + 21 =10x +3
? 3x = 18
? x = 6
The number = 10x + 3 = 10 x 6 + 3 = 60 + 3 = 63 - 1. Boxes numbered 1, 2, 3, 4, and 5 are kept in a row and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?
Options- A. 8
- B. 10
- C. 15
- D. 22 Discuss
- 2. Harsha makes a fixed deposit of ? 20000 in Bank of India for a period of 3 yr. If the rate of interest be 13% SI per annum charged half - yearly, what amount will he get after 42 months?
Options- A. ? 27800
- B. ? 28100
- C. ? 29100
- D. ? 30000 Discuss
- 3. The upper part of a tree broken by the wind makes an angle of 30° with the ground and the distance from the root to the point where the top of the tree touches the ground is 10 m. What was the height of the tree?
Options- A. 10?3
- B. 10/ ?3
- C. 20 ?3
- D. None of these Discuss
- 4. What is the sum of digits of the least number,which when divided by 52 leaves 33 as remainder, when divided by 78 leaves 59 as remainder and when divided by 117 leaves 98 as remainder?
Options- A. 21
- B. 27
- C. 19
- D. 36 Discuss
- 5. Two trains are running 40 km/h and 20 km/h respectively, in the same directions. The fast train completely passes a man sitting in the slow train in 5 s. The length of the fast a train is?
Options- A. 232/9 m
- B. 27 m
- C. 277/9 m
- D. 23 m Discuss
- 6. A man on the top of a vertical towers observes a car moving at a uniform speed coming directly towards it. if it takes 12 minute for the angle of depression to change from 30° to 45°, how soon after this will the car reach the tower?
Options- A. 14 min 20 sec.
- B. 15 min 22 sec.
- C. 16 min.
- D. 16 min 23 sec. Discuss
- 7. In a school 391 boys and 323 girls have been divided into the largest possible equal classes. So that there are equal number of boys and girls in each class. What is the number of classes?
Options- A. 23 girls classes, 19 boys classes
- B. 23 boys classes, 19 girls classes
- C. 17 boys classes, 23 girls classes
- D. 23 boys classes, 17 girls classes Discuss
- 8. The sum of HCF and LCM of two numbers is 403 and their LCM is 12 times their HCF. If one number is 93, then find the another number.
Options- A. 115
- B. 122
- C. 124
- D. 138 Discuss
- 9. If the simple interest for 5 yr be equal to 40% of the principle, it will be equal to the principle after?
Options- A. 12 yr 3 months
- B. 12 yr 6 months
- C. 12 yr 4 months
- D. 12 yr 9 months Discuss
- 10. What sum of money lent out at simple interest will amount to ? 3400 in 3 yr at 1% per month?
Options- A. ? 2400
- B. ? 1800
- C. ? 1600
- D. ? 2500 Discuss
More questions
Correct Answer: 22
Explanation:
Total number of ways of filling the 5 boxes numbered as (1, 2, 3, 4, and 5) with either blue or red balls 25 = 32.
Two adjacent boxes with blue can be obtained in 4 ways, i.e., (12), (23), (34) and (45).
Three adjacent boxes with blue can be obtained in 3 ways, i.e., (123), (234)and (345). Four boxes with blue can be obtained in 2 ways, i.e., (1234) and (2345). And five boxes with blue can be got in 1 way. Hence, the number of ways of filling the boxes such that adjacent boxes have blue
= (4 + 3 + 2 + 1) = 10.
Hence, the number or ways of filling up the boxes such that no two adjacent boxes have blue = 32 - 10 = 22.
Correct Answer: ? 29100
Explanation:
Give, time = 42 months.
= (42/12) yr = 31/2 yr
= 7 half - yr,
rate = 13/2% half - yearly
SI = (20000 x 13 x 7)/(100 x 2) = ? 9100
? Amount (A) = 20000 + 9100
= ? 29100
Correct Answer: 10?3
Explanation:
Correct Answer: 19
Explanation:
(52 - 33) = 19, (78 - 59) = 19 and (117 - 98) = 19
LCM of 52, 78 and 117 is 468.
Required least number = 468 + 19 = 487
Sum of digits of 487 = 4 + 8 + 7 = 19
Correct Answer: 277/9 m
Explanation:
The length of the fast train = Relative speed x Time
= (40 - 20) x (5/18) x 5 = 277/9 m
Correct Answer: 16 min 23 sec.
Explanation:
Let us draw a figure below from given question.
Let AB = h meter be the height of the tower B and C are two points such that ?ACB = 30° ?ADB = 45° and CD = x meter (say)
From right triangle ABD,
tan 45° = h/BD
? BD = h meter;
Again from right triangle ABC
tan 30° = h/(h + x )
? h + x = ?3 h
? x = (1.73 - 1)h = 0.73h
Now, 0.73h meter covered in 12 min
Hence, h meter covered in 12/0.73 = 1200/73 min = 16 min 23 sec .
Correct Answer: 23 boys classes, 19 girls classes
Explanation:
The largest possible number of persons in a class is given by the H.C.F. of 391 and 323 i,e. 17
? No of classes of boys = 391/17 = 23 and
No. of classes of girls = 323 / 17 = 19.
Correct Answer: 124
Explanation:
Let LCM = m, HCF = n,
According to the question,
m = 12n, .......(i)
and m + n = 403.......(ii)
? 12n + n = 403 [from Eq.(i)]
? 13n = 403
? n = 403/13 = 31
? m = 12 x 31 = 372
Let the another number = k
? 93 x k = 372 x 31
[as product of two numbers HCF x LCM]
? k = (372 x 31)/93 = 124
Correct Answer: 12 yr 6 months
Explanation:
If interest is 40% of the principal then time = 5 years.
So, when interest would be equal to 100% of the principal time would be
= (100/40) x 5 years = 12.5 years
= 12 yr 6 months
Correct Answer: ? 2500
Explanation:
A = ? 3400 T = 3 yr , R = 1% per month = 12 % per annum Let the principle be ? P.
SI = (PTR/100) = (P x 3 x 12)/100 = ? 36P/100
A = (P + SI) = P + 36P/100 = ? 136P/100
? 136P/100 = 3400
? P = (3400 x 100)/136 = 2500
? Sum = ? 2500
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