Quant Test

dk2424

dk2424

DK 2424
Re: XAT, JMET, SNAP, et al

test ur self try 2 answer these ques more 2 cum
Quantitative test 2

1. A ladder lies against a wall. The top of the ladder reaches 8 ft. above the ground. When the ladder slips two metres away from the wall, the top of the ladder touches the foot of the wall. The length of the ladder is
>15
>17
>8
>10


2. A takes 4 days to do a work. B takes twice as long as A. C takes twice as long as B and D takes twice as long as C. They are made in groups of two. One of the groups takes two third of the time taken by second pair. What is the combination of the first pair?
>A,C
>A,D
>B,C
>B,D


3. A student got marks in the ratio 6:7:8:9:10 in five subjects having equal maximum marks. In all, he scored 60% marks. In how many subjects, he got more than 50% ?
>4
>5
>3
>None of these


4. What is the least value of x for which expression x^3 – 7x^2 + 11x – 5 gives positive quantity?
>4
>5
>8
>None of these


5. Ram is having 158 coins of one rupee. He puts it in different bags, so that he can hand over the cash of any denomination required between Rs. 1 to Rs. 158. What is the least no. of bags required ?
>11
>13
>15
>None of these


6. Train X starts from A towards B. At same time, train Y start from B towards A. Train X travels at speed of 70 kmph and Y travels at 50 kmph. While X does not stop anywhere on the way, the train Y stops at station C in between at 60km from B for 15 minutes. At what distance from A they would meet
>115km
>112km
>120km
>None of these


7. There are three classes X,Y and Z. Average of class X is 83. Average of Class Y is 76. Average of class Z is 85. Average of class X and Y is 79, average of class Y and Z is 81. Find average of three Classes.
>81
>81.5
>82
>84


8. There are five nos. a,b,c,d,e having value of 2,5,6,10,4, not necessarily in this order. We have following clues

1) c + a = e 2) e + a = d 3) b-d = d Which of the following is true ?

>10-5 = b-d
> 4 + 6 = a+e
>4-2 = b-d
> None of these


9. How many 5 digit different nos. can be formed which is divisible by 4 from the digits 1,2,3,4,5,6 without repetition.
>144
>168
>192
>None of these


10. All the pages of a book starting from page 1 are summed. One of the pages has been added twice, and the total thus obtained is 1000. Which is the page that has been added twice ?
>10
>12
>14
>None of these
 
Re: XAT, JMET, SNAP, et al

answers:
1. 17
2. AD
3. 4
4. 5
5. None of these (8)
6. None of these
7. 81.5
8. None of these
9. 192
10.
 
1. There are 30 rows of seats in a theatre. In each of the 1st, 2nd and 3rd rows, there are 35 seats. Two additional seats are put in after every three rows until the 24th row. After that the number of seats of each of the remaining rows is 5 less than the number of seats of the preceding row. The total number of seats in the theatre is

1190
1197
1297
1097
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2. A man takes charge of 23 machines, each of which when started works automatically, and produces 6.5 m of material per hour. The first machine starts at 9 a.m and the others at intervals of 5 minutes. The length produced by 1 pm is

461 m
459 m
475 m
493 m
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3. The product of the first and the fifth term of an arithmetic progression is less than the square of the third term by 100. Twice the second term exceeds the fourth term by 3. The first term of the progression is

10
12
9
8
Skip this question

4. The sum of integers from 1 to 100 that are divisible by 2 or 5 is

3000
3050
4050
None of these
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5. If a, b, c are in A.P and a2, b2, c2 are in H.P, then

a = b = c
2b = 3a + c
b2 = √(ac/8)
None of these
Skip this question

6. If a1, a2, a3 ..... an are in A.P where ai > 0 for all i, then the value of
(where n > 1) is





Skip this question

7. If and if a, b, c are in G.P, then x, y, z are in

G.P
H.P
A.P
None of these
Skip this question

8. If a1, a2, a3 ... are in G.P with first term `a' and common ratio r, then the value of
is





Skip this question

9. If x1, x2, x3, ....., xn are in H.P, then the value of
x1x2 + x2x3 + x3x4 + ...+ xn-1 xn is

(n +1) x1 xn
(n -1)x1/xn
nx1 xn
(n -1) x1 xn
Skip this question

10. Suppose 'a' is a real number such that and if p, q, r are in A.P, then x, y, z are in

H.P
A.P
G.P
None of these
Skip this question
 
Quantitative
1. There are n A.P series whose common differences are 1, 2, 3, ..., n respectively. The first term of each being unity. The sum of their nth terms is



n (n - 1)
(n + 1) (2n - 1)


2. The sum of the series to n terms 3 + 6 + 10 + 16 + ..... is

2n + 1 + n(n + 1)
n2 + 2n +1
2n - 1 + n(n + 1)
n2 + 2n


3. A and B set out simultaneously to meet each other from two places 165 km apart. A travels 15 km the first day, 14 km the second, 13 km the third and so on. While B travels 10 km the first day, 12 km the second, 14 km the third and so on. When will they meet?

4 days
8 days
6 days
10 days


4. A number of persons were engaged to do a piece of work which would have occupied them 24 hours if they had all begun at the same time; but instead of doing so, they began at equal intervals and then continued to work till the whole work was finished, the payment being proportional to the work done by each. If the first comer received eleven times as much as the last, then the time occupied is

44 hours
58 hours
68 hours
38 hours


5. The sum of two numbers is . An even number of arithmetic means are being inserted between them and whose sum exceeds their number by 1. The number of means inserted is

6
12
8
16


6. The sixth term of an A.P is equal to 2. Then the value of the common difference of the A.P which makes the product a1 a4 a5 least is

answer urself





7. The sum to n terms of the series is equal to

2n - n - 1

2-n + n - 1
2n - 1


8. If three positive real numbers a, b, c (c > a) are in H.P, then log (a + c) + log (a - 2b + c) is equal to

2log (c - b)
2log (a + c)
2 log (c - a)
log a + log b +log c


9. A ball is dropped from a height of 900 cm. Each time it rebounds, it rises to of the height it has fallen through. The total distance travelled by the ball before it comes to rest is

2700 cm
4500 cm
3600 cm
1800 cm
 
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