If Raghav and Kunal work on alternate days to complete a work, then the work gets completed in exactly 24 days. If R and K denote the number of days required by Raghav and Kunal respectively to complete the work independently, then how many ordered pairs of integral values of R and K are possible? (A) 14(B) 8(C) 15(D) 7
N=5^(1!+2!+ 3!+….+ 12!+ 13!) The digits of the number N are added to get another number. Then the digits of the number obtained are added to get yet another number. The process is repeated till a single digit number is obtained. What is that single digit number? (a) 7 (b) 6 (c) 5 (d) 8
What is the number which, when added to the terms of the ratio 17 : 29 makes the new ratio 7 : 11?
1)3
2)4
3)5
4)6
5)7
The minimum number of straight lines required to obtain 25 non-overlapping parallelograms is (A) 8(B) 12(C) 17(D) 7
N is an integer and ten's place of n^2 is 7. how many values can the unit's place of n^2 take? (A) 1(B) 2(C) 3(D) 4
For what positive integral value of n, is 2^8 + 2^11 + 2^n a perfect square?
(A) 12(B) 13(C) 20(D) 14Sydenham Institute of Management Studies, Research and Entrepreneurship Education (SIMSREE)
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Mr. Sanjay while buying clothes uses a faulty meter tape which actually measures 110 cm for a meter and while selling them he uses another faulty meter tape which actually measures 90 cm for a meter. If he buys the cloth at a discount of 5% on the marked price and sells it at a discount of 10% on the same marked price, then what is his percentage gain or loss? (A) 15.8% profit(B) 4.21% loss(C) 5% loss(D) 25% profit(E) None of these
DIRECTIONS for questions : Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question.
Choose 1 if the question can be answered by using statement I alone, but cannot be answered by statement II alone.
Choose 2 if the question can be answered by using statement II alone, but cannot be answer by using statement I alone.
Choose 3 if the question can be answered by using either statement alone.
Choose 4 if the question can be answered by using both the statements together, but cannot be answered by using any one statement alone.
Q. Does A have less number of books than B ?
I. If A gives 5 books to B, the difference in the number of books with them is 10.
II.
If B gives 10 books to A the difference in the number of books with then is 20.(A) Choose 1(B) Choose 2(C) Choose 3(D) Choose 4One of the roots of the equation x^2 + bx + 2b = 0 (where b is a real number) is twice the other root. Which of the following is the equation whose roots are 'b' and 'b + 1'?
a. x^2 + 19x – 90 = 0
b. x^2 – 9x + 20 = 0
c. x^2 + 9x – 90 = 0
d. x^2 – 19x + 90 = 0
What is the remainder when (37)^1006 is divided by 25?
What is the remainder when (754)^711 is divided by 100?
What is the remainder when 6^790 is divided by 29?
sry!!
A person completes his journey by using three different types of vehicles. He completes first part at the speed of 10
kmph, second part at the speed of 12 kmph and third part at the speed of 15 kmph. If the distance travelled by each vehicle
is equal then what is the average speed of that person throughout the journey?
1) 12 kmph 2) 12.5 kmph 3) 13 kmph 4) 13.5 kmph 5) None of these
In this question, there is a question statement which is followed by two statements. You have to decide whether the information provided in the two statements is sufficient for answering the question.
Mark 1 If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
Mark 2 If the question can be answered by using either statement alone.
Mark 3 If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
Mark 4 If the question cannot be answered even by using both the statements together.
Q . What is the length of diagonal of a rectangle?
(A) The perimeter is 16 units.
(B) The area is 16 units.
2a + b =14 (a,b are whole numbers ) Is there a formula to calculate the number of values a and b can take or do we have to make cases to solve this ?
A shopkeeper sells one-thirds of total stock of sugar at a profit of 15%, half of total stock at a profit of 8% and remaining part at a profit of 12%. If the total profit he gains is Rs 605 then what was the original value of the commodity? 1) Rs 5400 2) Rs 5500 3) Rs 5600 4) Rs 5750 5) None of these
Chalo back to 1991- Posting all the quant questions from 1991 CAt paper.
The average of three unequal quotations for a particular share is Rs. 110. If all are quoted in integral values of a rupee, does the highest quotation exceed Rs. 129?
If the question can be answered with the help of statement I alone.
If the question can be answered with the help of statement II, alone.
If both, statement I and statement II are needed to answer the question.
If the question cannot be answered even with the help of both the statements.
Is it more profitable for Company M to produce product Q?
I. Product R sells at a price four times that of Q.
II. One unit of Q requires 2 units of labour, while one unit of R requires 5 units of labour. There is no other constraint on production.
If the question can be answered with the help of statement I alone.
If the question can be answered with the help of statement II, alone.
If both, statement I and statement II are needed to answer the question.
If the question cannot be answered even with the help of both the statements.
1991 CAt paperWhat is the radius of the circle?
I. Ratio of its area to circumference is > 7.
II. Diameter of the circle is
If the question can be answered with the help of statement I alone.
If the question can be answered with the help of statement II, alone.
If both, statement I and statement II are needed to answer the question.
If the question cannot be answered even with the help of both the statements.
1991 CAT paper
IN triangle ABC, E and F are points on the side AB and AC respectively.The line segments EF and BC are extended to meet at a point D.If AE = AF , CD = 2BC and CF = 1.5 Cm, the find the length (in cm) of BE ?
- 2.25
- 3
- 2.75
- 4.5
0 voters
How many people (from the group surveyed) read both Indian Express and Times of India?
I. Out of a total of 200 readers, 100 read Indian Express, 120 read Times of India and 50 read Hindu.
II. Out of a total of 200 readers, 100 read Indian Express, 120 reads Times of India and 50 read neither.
If the question can be answered with the help of statement I alone.
If the question can be answered with the help of statement II, alone.
If both, statement I and statement II are needed to answer the question.
If the question cannot be answered even with the help of both the statements.
1991 CAt paper